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Lege_ranger

Quantifying the impact of sigma – help me doublecheck my analysis

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So, I haven't found someone mentioning a way to measure how much difference a 0.1 or 0.2 sigma makes, making it hard to say how any two BBs compare. Like Yamato vs Thunderer: how does that extra 0.2 sigma compare with the battlecruiser dispersion? I'm trying to quantify it and want to check if my assumptions are correct.

First assumption is that the gaussian distribution as seen in images in the forums, such as the following:

sigmaShape.png.2bd8813bd5dd50de644929b17ed4ed0f.png

, is indeed the way WG uses the sigma parameter. If it is, then it is formally a truncated gaussian distribution, for which there are plenty of free statistical packages available, like "truncnorm" package for the R language. 

The second assumption is that the information given on the How it Works: Firing and Dispersion video is still accurate and up-to-date. More specifically, I assume that:

  • the maximum horizontal dispersion is the diameter (not the radius) of the ellipsoid
  • no shell falls outside the ellipsoid
  • the maximum dispersion given in port is for when a target is locked on

Third, that the dispersion formulas collected here by the community are also accurate and up-to-date. I'm relying on those formulas for determining the dispersion at different ranges for each ship.

If all the above are correct, then we could try to measure accuracy by calculating at which distance from the center of your aim a given percentage, or set of percentages, of the shells will fall. Say, 75% of the shells falling within 50m for one ship at a 15km range and 60m for the other? The former ship can then be said to be more accurate at that range, as the majority of its shells will fall closer to where you actually aimed. This can be used to find how ships with different sigma values perform at each range, even if they have different dispersion formulas. Other percentages can be chosen, of course.

To calculate that, I'm using the 'truncnorm' package mentioned above. More specifically, its 'qtruncnorm' function, which gives the distance that covers a given percentage area of the truncated gaussian distribution. In other words, at how many meters away from the center will a given percentage of the shells fall. So, we work with the following idea:

  • use one of the distribution's tails, or halves, and assume that the game simply flips a coin to decide whether the shell will fly to the left or to the right of your aim

  • the maximum distance from the center is half of the dispersion of the shot at that range, since the dispersion refers to the diameter of the ellipsoid, not the radius

So, to measure how Yamato performs with the legendary module, I can code the following:

sigma <- 2.1
range <- 5:26
modifiers <- 0.93*1.04*1.05*0.93
dispersion <- (84 + 7.2*range) * modifiers
yamato <- qtruncnorm(0.75, 0, sigma) * dispersion / (2*sigma)
names(yamato) <- c(5:26)

, which includes the effect of the aiming module on slot 3 (-7% dispersion), the opponent using a camouflage (+4% dispersion) and the concealment mod on slot 5 (+5% dispersion), and the legendary module for Yamato on slot 6 (-7% dispersion). As far as I know, they stack multiplicatively, not additively.

And Thunderer's code is as follows:

sigma <- 1.9
range <- 5:26
modifiers <- 0.93*1.04*1.05
dispersion <- (48 + 8.4*range) * modifiers
thunderer <- qtruncnorm(0.75, 0, sigma) * dispersion / (2*sigma)
names(thunderer) <- c(5:26)

Which gives the following result:

yamato
   5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26 
29.34723 31.10807 32.86890 34.62974 36.39057 38.15140 39.91224 41.67307 43.43391 45.19474 46.95557 48.71641 50.47724 52.23808 53.99891 55.75974 57.52058 59.28141 61.04225 62.80308 64.56392 66.32475 

thunderer
   5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26 
25.28905 27.64936 30.00967 32.36999 34.73030 37.09061 39.45092 41.81123 44.17154 46.53185 48.89217 51.25248 53.61279 55.97310 58.33341 60.69372 63.05404 65.41435 67.77466 70.13497 72.49528 74.85559 

What do these numbers mean? For each range (between 5km and 26km here), it tells at how many meters from the center of your aim 75% of the shells will fall in the horizontal axis. For instance, shooting at a locked target at a range of 15km, 75% of Yamato's shells will fall up to about 47m away from where you aimed (to either left or right), while 75% of Thunderer's shells will fall up to almost 49m away. An equivalent way to interpret it is that, for a given rng roll (in this case 0.75, from between 0 and 1) when shooting their guns, the rng will make the shell fly 47m away from where you aimed if you're on the Yamato, and 49m away if you're on the Thunderer.

The result suggests that Thunderer is more accurate than Yamato until about 11km; between 11km and 12km, Yamato starts surpassing Thunderer and becomes more accurate at 12km and above. This means the extra 0.2 sigma actually has a huge impact; the range at which the two ships have the same dispersion is 17.67km, but that extra sigma allows Yamato's shell to behave similarly to Thunderer's about 6km earlier than their dispersion curves would suggest.

And here are the results of the tier X battleships, in 25%/50%/75% quantiles (commonly used in scientific articles):

accuracyBBs
                         5         6         7         8         9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Yamato 25%        8.281209  8.778081  9.274954  9.771826 10.268699 10.76557 11.26244 11.75932 12.25619 12.75306 13.24993 13.74681 14.24368 14.74055 15.23742 15.73430 16.23117 16.72804 17.22491 17.72179 18.21866 18.71553
Yamato 50%       17.449525 18.496497 19.543468 20.590440 21.637412 22.68438 23.73135 24.77833 25.82530 26.87227 27.91924 28.96621 30.01318 31.06016 32.10713 33.15410 34.20107 35.24804 36.29501 37.34198 38.38896 39.43593
Yamato 75%       29.347234 31.108068 32.868902 34.629736 36.390570 38.15140 39.91224 41.67307 43.43391 45.19474 46.95557 48.71641 50.47724 52.23808 53.99891 55.75974 57.52058 59.28141 61.04225 62.80308 64.56392 66.32475

Thunderer 25%     7.210110  7.883053  8.555997  9.228941  9.901884 10.57483 11.24777 11.92071 12.59366 13.26660 13.93955 14.61249 15.28543 15.95838 16.63132 17.30426 17.97721 18.65015 19.32309 19.99604 20.66898 21.34193
Thunderer 50%    15.152416 16.566642 17.980867 19.395093 20.809318 22.22354 23.63777 25.05200 26.46622 27.88045 29.29467 30.70890 32.12312 33.53735 34.95157 36.36580 37.78002 39.19425 40.60848 42.02270 43.43693 44.85115
Thunderer 75%    25.289052 27.649363 30.009674 32.369986 34.730297 37.09061 39.45092 41.81123 44.17154 46.53185 48.89217 51.25248 53.61279 55.97310 58.33341 60.69372 63.05404 65.41435 67.77466 70.13497 72.49528 74.85559

Conqueror 25%     9.155312  9.987613 10.819914 11.652215 12.484516 13.31682 14.14912 14.98142 15.81372 16.64602 17.47832 18.31062 19.14292 19.97523 20.80753 21.63983 22.47213 23.30443 24.13673 24.96903 25.80133 26.63363
Conqueror 50%    19.207531 20.953671 22.699810 24.445949 26.192088 27.93823 29.68437 31.43051 33.17665 34.92278 36.66892 38.41506 40.16120 41.90734 43.65348 45.39962 47.14576 48.89190 50.63804 52.38418 54.13032 55.87646
Conqueror 75%    31.903454 34.803767 37.704081 40.604395 43.504709 46.40502 49.30534 52.20565 55.10597 58.00628 60.90659 63.80691 66.70722 69.60753 72.50785 75.40816 78.30848 81.20879 84.10910 87.00942 89.90973 92.81005

Montana 25%       8.433330  9.199997  9.966663 10.733330 11.499996 12.26666 13.03333 13.80000 14.56666 15.33333 16.09999 16.86666 17.63333 18.39999 19.16666 19.93333 20.69999 21.46666 22.23333 22.99999 23.76666 24.53332
Montana 50%      17.723077 19.334266 20.945455 22.556644 24.167833 25.77902 27.39021 29.00140 30.61259 32.22378 33.83497 35.44615 37.05734 38.66853 40.27972 41.89091 43.50210 45.11329 46.72448 48.33567 49.94685 51.55804
Montana 75%      29.579428 32.268467 34.957506 37.646545 40.335584 43.02462 45.71366 48.40270 51.09174 53.78078 56.46982 59.15886 61.84790 64.53693 67.22597 69.91501 72.60405 75.29309 77.98213 80.67117 83.36021 86.04925

Ohio 25%          8.116246  8.854087  9.591927 10.329768 11.067608 11.80545 12.54329 13.28113 14.01897 14.75681 15.49465 16.23249 16.97033 17.70817 18.44601 19.18385 19.92169 20.65954 21.39738 22.13522 22.87306 23.61090
Ohio 50%         17.081352 18.634203 20.187053 21.739903 23.292753 24.84560 26.39845 27.95130 29.50415 31.05700 32.60985 34.16270 35.71555 37.26841 38.82126 40.37411 41.92696 43.47981 45.03266 46.58551 48.13836 49.69121
Ohio 75%         28.626925 31.229373 33.831820 36.434268 39.036716 41.63916 44.24161 46.84406 49.44651 52.04895 54.65140 57.25385 59.85630 62.45875 65.06119 67.66364 70.26609 72.86854 75.47098 78.07343 80.67588 83.27833

GK/Bourgogne 25%  9.571462 10.387117 11.202772 12.018427 12.834082 13.64974 14.46539 15.28105 16.09670 16.91236 17.72801 18.54367 19.35932 20.17498 20.99063 21.80629 22.62194 23.43760 24.25325 25.06891 25.88456 26.70022
GK/Bourgogne 50% 20.080601 21.791817 23.503034 25.214250 26.925467 28.63668 30.34790 32.05912 33.77033 35.48155 37.19277 38.90398 40.61520 42.32641 44.03763 45.74885 47.46006 49.17128 50.88250 52.59371 54.30493 56.01615
GK/Bourgogne 75% 33.353610 36.195918 39.038226 41.880534 44.722841 47.56515 50.40746 53.24976 56.09207 58.93438 61.77669 64.61899 67.46130 70.30361 73.14592 75.98823 78.83053 81.67284 84.51515 87.35746 90.19976 93.04207

Republique 25%    8.866522  9.622104 10.377686 11.133268 11.888850 12.64443 13.40001 14.15560 14.91118 15.66676 16.42234 17.17792 17.93350 18.68909 19.44467 20.20025 20.95583 21.71141 22.46700 23.22258 23.97816 24.73374
Republique 50%   18.660374 20.250563 21.840751 23.430939 25.021128 26.61132 28.20150 29.79169 31.38188 32.97207 34.56226 36.15245 37.74264 39.33282 40.92301 42.51320 44.10339 45.69358 47.28377 48.87395 50.46414 52.05433
Republique 75%   31.273234 33.938258 36.603281 39.268305 41.933328 44.59835 47.26337 49.92840 52.59342 55.25845 57.92347 60.58849 63.25352 65.91854 68.58356 71.24859 73.91361 76.57863 79.24366 81.90868 84.57370 87.23873

Kremlin 25%       7.530559  8.475885  9.421210 10.366536 11.311861 12.25719 13.20251 14.14784 15.09316 16.03849 16.98381 17.92914 18.87447 19.81979 20.76512 21.71044 22.65577 23.60109 24.54642 25.49174 26.43707 27.38239
Kremlin 50%      15.825857 17.812507 19.799157 21.785807 23.772458 25.75911 27.74576 29.73241 31.71906 33.70571 35.69236 37.67901 39.66566 41.65231 43.63896 45.62561 47.61226 49.59891 51.58556 53.57221 55.55886 57.54551
Kremlin 75%      26.413009 29.728685 33.044361 36.360036 39.675712 42.99139 46.30706 49.62274 52.93841 56.25409 59.56977 62.88544 66.20112 69.51679 72.83247 76.14814 79.46382 82.77950 86.09517 89.41085 92.72652 96.04220

, so you can compare how your favorite tier X BBs behave at each range and what you can expect when shooting their guns. For instance, how the gun behavior of GK and Bourgogne at 15km is the behavior of Yamato at 23-24km, and of Montana at almost 17km. Note that this result is for all non-american ships using the ASM1, the american ones using the artillery mod on slot 6 instead (-11% dispersion, no -7% dispersion from ASM1), and Yamato running both ASM1 and legendary module. If you want to see, say, how your secondary build BB will behave with the secondary mod on slot 3, or how Yamato/Montana/Ohio behave if running the reload module on slot 6 instead, I'll need to run it again with different modifiers.

Also, for the german BB lovers there, you can see how the buff to american/british dispersion formula will affect GK by comparing with the Conqueror. Both ships have the same sigma value and access to ASM1.

Anyway, I need to doublecheck if any of the assumptions behind it is wrong or inaccurate. If you found anything wrong above, point it away. And if you want to replicate it, I can prepare a script later on or help you get familiarized with the basics of R. Also, feel free to use the results as you wish; content creation, german buff analysis, build comparisons, etc.

Edited by Lege_ranger
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Accuracy ratio for each sigma on the maximum horizontal dispersion (no orthogonal projection of the vertical dispersion):

                     1       1.4       1.5       1.6       1.7       1.8       1.9         2      2.05       2.1      2.15       2.2      2.65
25% quantile 0.2255336 0.1977144 0.1902006 0.1827137 0.1753511 0.1681901 0.1612886 0.1546862 0.1515053 0.1484073 0.1453933 0.1424637 0.1197617
50% quantile 0.4595685 0.4097722 0.3956490 0.3813162 0.3669852 0.3528401 0.3390316 0.3256767 0.3191968 0.3128593 0.3066701 0.3006336 0.2533151
75% quantile 0.7125764 0.6587514 0.6417373 0.6236565 0.6047643 0.5853374 0.5656570 0.5459891 0.5362354 0.5265707 0.5170184 0.5075992 0.4309302

 

Accuracy ratio for each sigma with the orthogonal projection of the ellipsoid vertical dispersion onto the horizontal dispersion axis:

projectionSigmaQuantiles
                     1       1.4       1.5       1.6       1.7       1.8       1.9         2      2.05       2.1      2.15       2.2      2.65
25% quantile 0.2095346 0.1910962 0.1850788 0.1787998 0.1723954 0.1659825 0.1596564 0.1534910 0.1504860 0.1475399 0.1446567 0.1418395 0.1196328
50% quantile 0.4290693 0.3960446 0.3847952 0.3728531 0.3604744 0.3478949 0.3353211 0.3229243 0.3168358 0.3108393 0.3049463 0.2991662 0.2530035
75% quantile 0.6743486 0.6381017 0.6245278 0.6095173 0.5933238 0.5762269 0.5585178 0.5404830 0.5314279 0.5223889 0.5133942 0.5044694 0.4302044

 


Accuracy for BBs at each tier, take note of the assumptions:

  • Use of ASM1 on slot 3, or Artillery on slot 6, whenever applicable.
  • Enemy using camouflage and, from tier 8 to 10, concealment module.

Each group has both the horizontal spread without (first spoiler) and with (second spoiler) the orthogonal projection of the ellipsoid vertical dispersion onto the horizontal dispersion axis.

Tier 10:

Spoiler

                         5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Yamato 25%        8.409981  8.914580  9.419179  9.923778 10.42838 10.93298 11.43757 11.94217 12.44677 12.95137 13.45597 13.96057 14.46517 14.96977 15.47437 15.97896 16.48356 16.98816 17.49276 17.99736 18.50196 19.00656
Yamato 50%       17.729186 18.792937 19.856688 20.920439 21.98419 23.04794 24.11169 25.17544 26.23919 27.30295 28.36670 29.43045 30.49420 31.55795 32.62170 33.68545 34.74920 35.81295 36.87671 37.94046 39.00421 40.06796
Yamato 75%       29.839839 31.630229 33.420620 35.211010 37.00140 38.79179 40.58218 42.37257 44.16296 45.95335 47.74374 49.53413 51.32452 53.11491 54.90530 56.69569 58.48608 60.27648 62.06687 63.85726 65.64765 67.43804

Thunderer 25%     7.370919  8.058871  8.746824  9.434776 10.12273 10.81068 11.49863 12.18659 12.87454 13.56249 14.25044 14.93840 15.62635 16.31430 17.00225 17.69021 18.37816 19.06611 19.75406 20.44202 21.12997 21.81792
Thunderer 50%    15.493812 16.939901 18.385990 19.832079 21.27817 22.72426 24.17035 25.61644 27.06252 28.50861 29.95470 31.40079 32.84688 34.29297 35.73906 37.18515 38.63124 40.07733 41.52342 42.96951 44.41559 45.86168
Thunderer 75%    25.850638 28.263364 30.676090 33.088816 35.50154 37.91427 40.32699 42.73972 45.15245 47.56517 49.97790 52.39063 54.80335 57.21608 59.62880 62.04153 64.45426 66.86698 69.27971 71.69244 74.10516 76.51789

Conqueror/GK 25%  9.394395 10.248431 11.102467 11.956503 12.81054 13.66457 14.51861 15.37265 16.22668 17.08072 17.93475 18.78879 19.64283 20.49686 21.35090 22.20493 23.05897 23.91301 24.76704 25.62108 26.47511 27.32915
Conqueror/GK 50% 19.708165 21.499816 23.291468 25.083119 26.87477 28.66642 30.45807 32.24972 34.04138 35.83303 37.62468 39.41633 41.20798 42.99963 44.79128 46.58294 48.37459 50.16624 51.95789 53.74954 55.54119 57.33284
Conqueror/GK 75% 32.694491 35.666718 38.638944 41.611171 44.58340 47.55562 50.52785 53.50008 56.47230 59.44453 62.41676 65.38898 68.36121 71.33344 74.30566 77.27789 80.25011 83.22234 86.19457 89.16679 92.13902 95.11125

Montana 25%       8.621421  9.405187 10.188953 10.972718 11.75648 12.54025 13.32401 14.10778 14.89155 15.67531 16.45908 17.24284 18.02661 18.81037 19.59414 20.37791 21.16167 21.94544 22.72920 23.51297 24.29673 25.08050
Montana 50%      18.122392 19.769882 21.417372 23.064862 24.71235 26.35984 28.00733 29.65482 31.30231 32.94980 34.59729 36.24478 37.89227 39.53976 41.18725 42.83474 44.48223 46.12972 47.77721 49.42470 51.07220 52.71969
Montana 75%      30.236290 32.985043 35.733797 38.482550 41.23130 43.98006 46.72881 49.47756 52.22632 54.97507 57.72383 60.47258 63.22133 65.97009 68.71884 71.46759 74.21635 76.96510 79.71385 82.46261 85.21136 87.96011

Ohio 25%          8.268502  9.020184  9.771866 10.523548 11.27523 12.02691 12.77859 13.53028 14.28196 15.03364 15.78532 16.53700 17.28869 18.04037 18.79205 19.54373 20.29541 21.04710 21.79878 22.55046 23.30214 24.05382
Ohio 50%         17.408527 18.991120 20.573714 22.156307 23.73890 25.32149 26.90409 28.48668 30.06927 31.65187 33.23446 34.81705 36.39965 37.98224 39.56483 41.14743 42.73002 44.31261 45.89521 47.47780 49.06039 50.64299
Ohio 75%         29.184974 31.838154 34.491333 37.144513 39.79769 42.45087 45.10405 47.75723 50.41041 53.06359 55.71677 58.36995 61.02313 63.67631 66.32949 68.98267 71.63585 74.28903 76.94221 79.59538 82.24856 84.90174

Bourgogne 25%     9.821413 10.658368 11.495324 12.332279 13.16923 14.00619 14.84314 15.68010 16.51705 17.35401 18.19097 19.02792 19.86488 20.70183 21.53879 22.37574 23.21270 24.04965 24.88661 25.72356 26.56052 27.39747
Bourgogne 50%    20.603991 22.359809 24.115627 25.871446 27.62726 29.38308 31.13890 32.89472 34.65054 36.40636 38.16217 39.91799 41.67381 43.42963 45.18545 46.94127 48.69708 50.45290 52.20872 53.96454 55.72036 57.47618
Bourgogne 75%    34.180604 37.093386 40.006168 42.918950 45.83173 48.74451 51.65730 54.57008 57.48286 60.39564 63.30842 66.22121 69.13399 72.04677 74.95955 77.87233 80.78512 83.69790 86.61068 89.52346 92.43624 95.34903

Republique 25%    9.032853  9.802609 10.572366 11.342122 12.11188 12.88163 13.65139 14.42115 15.19090 15.96066 16.73042 17.50017 18.26993 19.03968 19.80944 20.57920 21.34895 22.11871 22.88846 23.65822 24.42798 25.19773
Republique 50%   19.017793 20.638440 22.259087 23.879734 25.50038 27.12103 28.74167 30.36232 31.98297 33.60361 35.22426 36.84491 38.46555 40.08620 41.70685 43.32749 44.94814 46.56879 48.18943 49.81008 51.43073 53.05137
Republique 75%   31.882870 34.599845 37.316820 40.033796 42.75077 45.46775 48.18472 50.90170 53.61867 56.33565 59.05262 61.76960 64.48657 67.20355 69.92052 72.63750 75.35447 78.07145 80.78842 83.50540 86.22237 88.93935

Kremlin 25%       7.698515  8.664925  9.631334 10.597744 11.56415 12.53056 13.49697 14.46338 15.42979 16.39620 17.36261 18.32902 19.29543 20.26184 21.22825 22.19466 23.16107 24.12747 25.09388 26.06029 27.02670 27.99311
Kremlin 50%      16.182426 18.213837 20.245248 22.276659 24.30807 26.33948 28.37089 30.40230 32.43371 34.46512 36.49653 38.52795 40.55936 42.59077 44.62218 46.65359 48.68500 50.71641 52.74782 54.77923 56.81064 58.84205
Kremlin 75%      26.999555 30.388861 33.778167 37.167472 40.55678 43.94608 47.33539 50.72470 54.11400 57.50331 60.89261 64.28192 67.67122 71.06053 74.44984 77.83914 81.22845 84.61775 88.00706 91.39637 94.78567 98.17498

 

Spoiler

                         5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Yamato 25%        8.360827  8.862477  9.364127  9.865776 10.36743 10.86908 11.37073 11.87237 12.37402 12.87567 13.37732 13.87897 14.38062 14.88227 15.38392 15.88557 16.38722 16.88887 17.39052 17.89217 18.39382 18.89547
Yamato 50%       17.614719 18.671602 19.728485 20.785368 21.84225 22.89913 23.95602 25.01290 26.06978 27.12667 28.18355 29.24043 30.29732 31.35420 32.41108 33.46797 34.52485 35.58173 36.63862 37.69550 38.75238 39.80926
Yamato 75%       29.602862 31.379034 33.155206 34.931378 36.70755 38.48372 40.25989 42.03606 43.81224 45.58841 47.36458 49.14075 50.91692 52.69310 54.46927 56.24544 58.02161 59.79778 61.57395 63.35013 65.12630 66.90247

Thunderer 25%     7.296331  7.977322  8.658313  9.339303 10.02029 10.70129 11.38228 12.06327 12.74426 13.42525 14.10624 14.78723 15.46822 16.14921 16.83020 17.51119 18.19218 18.87318 19.55417 20.23516 20.91615 21.59714
Thunderer 50%    15.324242 16.754504 18.184767 19.615029 21.04529 22.47555 23.90582 25.33608 26.76634 28.19660 29.62687 31.05713 32.48739 33.91765 35.34792 36.77818 38.20844 39.63870 41.06897 42.49923 43.92949 45.35975
Thunderer 75%    25.524376 27.906651 30.288926 32.671201 35.05348 37.43575 39.81803 42.20030 44.58258 46.96485 49.34713 51.72940 54.11168 56.49395 58.87623 61.25850 63.64078 66.02305 68.40533 70.78760 73.16988 75.55215

Conqueror/GK 25%  9.271086 10.113912 10.956738 11.799564 12.64239 13.48522 14.32804 15.17087 16.01369 16.85652 17.69935 18.54217 19.38500 20.22782 21.07065 21.91348 22.75630 23.59913 24.44195 25.28478 26.12760 26.97043
Conqueror/GK 50% 19.431949 21.198490 22.965031 24.731572 26.49811 28.26465 30.03119 31.79773 33.56428 35.33082 37.09736 38.86390 40.63044 42.39698 44.16352 45.93006 47.69660 49.46314 51.22968 52.99622 54.76277 56.52931
Conqueror/GK 75% 32.185616 35.111581 38.037546 40.963511 43.88948 46.81544 49.74141 52.66737 55.59334 58.51930 61.44527 64.37123 67.29720 70.22316 73.14913 76.07509 79.00106 81.92702 84.85299 87.77895 90.70492 93.63088

Montana 25%       8.534179  9.310014 10.085848 10.861682 11.63752 12.41335 13.18919 13.96502 14.74085 15.51669 16.29252 17.06836 17.84419 18.62003 19.39586 20.17170 20.94753 21.72336 22.49920 23.27503 24.05087 24.82670
Montana 50%      17.924053 19.553512 21.182972 22.812431 24.44189 26.07135 27.70081 29.33027 30.95973 32.58919 34.21865 35.84811 37.47757 39.10702 40.73648 42.36594 43.99540 45.62486 47.25432 48.88378 50.51324 52.14270
Montana 75%      29.854676 32.568738 35.282799 37.996861 40.71092 43.42498 46.13905 48.85311 51.56717 54.28123 56.99529 59.70935 62.42341 65.13748 67.85154 70.56560 73.27966 75.99372 78.70778 81.42184 84.13591 86.84997

Ohio 25%          8.204614  8.950489  9.696363 10.442237 11.18811 11.93398 12.67986 13.42573 14.17161 14.91748 15.66335 16.40923 17.15510 17.90098 18.64685 19.39273 20.13860 20.88447 21.63035 22.37622 23.12210 23.86797
Ohio 50%         17.261400 18.830618 20.399836 21.969054 23.53827 25.10749 26.67671 28.24593 29.81515 31.38436 32.95358 34.52280 36.09202 37.66124 39.23045 40.79967 42.36889 43.93811 45.50733 47.07655 48.64576 50.21498
Ohio 75%         28.890655 31.517078 34.143501 36.769924 39.39635 42.02277 44.64919 47.27562 49.90204 52.52846 55.15489 57.78131 60.40773 63.03416 65.66058 68.28700 70.91343 73.53985 76.16627 78.79269 81.41912 84.04554

Bourgogne 25%     9.692499 10.518468 11.344438 12.170407 12.99638 13.82235 14.64832 15.47428 16.30025 17.12622 17.95219 18.77816 19.60413 20.43010 21.25607 22.08204 22.90801 23.73398 24.55995 25.38592 26.21189 27.03786
Bourgogne 50%    20.315220 22.046430 23.777640 25.508850 27.24006 28.97127 30.70248 32.43369 34.16490 35.89611 37.62732 39.35853 41.08974 42.82095 44.55216 46.28337 48.01458 49.74579 51.47700 53.20821 54.93942 56.67063
Bourgogne 75%    33.648598 36.516044 39.383490 42.250936 45.11838 47.98583 50.85327 53.72072 56.58816 59.45561 62.32306 65.19050 68.05795 70.92539 73.79284 76.66029 79.52773 82.39518 85.26262 88.13007 90.99751 93.86496

Republique 25%    8.963059  9.726868 10.490676 11.254485 12.01829 12.78210 13.54591 14.30972 15.07353 15.83734 16.60114 17.36495 18.12876 18.89257 19.65638 20.42019 21.18400 21.94780 22.71161 23.47542 24.23923 25.00304
Republique 50%   18.857066 20.464015 22.070965 23.677915 25.28487 26.89182 28.49877 30.10572 31.71266 33.31961 34.92656 36.53351 38.14046 39.74741 41.35436 42.96131 44.56826 46.17521 47.78216 49.38911 50.99606 52.60301
Republique 75%   31.561343 34.250919 36.940494 39.630069 42.31964 45.00922 47.69880 50.38837 53.07795 55.76752 58.45710 61.14667 63.83625 66.52582 69.21540 71.90497 74.59455 77.28412 79.97370 82.66328 85.35285 88.04243

Kremlin 25%       7.620612  8.577242  9.533872 10.490502 11.44713 12.40376 13.36039 14.31702 15.27365 16.23028 17.18691 18.14354 19.10017 20.05680 21.01343 21.97006 22.92669 23.88332 24.83995 25.79658 26.75321 27.70984
Kremlin 50%      16.005319 18.014497 20.023676 22.032854 24.04203 26.05121 28.06039 30.06957 32.07875 34.08792 36.09710 38.10628 40.11546 42.12464 44.13382 46.14299 48.15217 50.16135 52.17053 54.17971 56.18889 58.19806
Kremlin 75%      26.658793 30.005322 33.351851 36.698380 40.04491 43.39144 46.73797 50.08450 53.43103 56.77756 60.12409 63.47061 66.81714 70.16367 73.51020 76.85673 80.20326 83.54979 86.89632 90.24285 93.58938 96.93591

 

Tier 9:

Spoiler

                                     5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24        25        26
Izumo 25%                     9.425586  9.991121 10.556656 11.122191 11.68773 12.25326 12.81880 13.38433 13.94987 14.51540 15.08094 15.64647 16.21201 16.77754 17.34308 17.90861 18.47415 19.03968 19.60522 20.17075  20.73629  21.30182
Izumo 50%                    19.844654 21.035333 22.226012 23.416692 24.60737 25.79805 26.98873 28.17941 29.37009 30.56077 31.75145 32.94213 34.13280 35.32348 36.51416 37.70484 38.89552 40.08620 41.27688 42.46756  43.65824  44.84892
Izumo 75%                    33.269082 35.265227 37.261372 39.257517 41.25366 43.24981 45.24595 47.24210 49.23824 51.23439 53.23053 55.22668 57.22282 59.21897 61.21511 63.21126 65.20740 67.20355 69.19969 71.19584  73.19198  75.18813

Musashi 25%                  10.248431 10.863337 11.478243 12.093149 12.70805 13.32296 13.93787 14.55277 15.16768 15.78258 16.39749 17.01240 17.62730 18.24221 18.85711 19.47202 20.08693 20.70183 21.31674 21.93164  22.54655  23.16145
Musashi 50%                  21.499816 22.789805 24.079794 25.369783 26.65977 27.94976 29.23975 30.52974 31.81973 33.10972 34.39971 35.68970 36.97968 38.26967 39.55966 40.84965 42.13964 43.42963 44.71962 46.00961  47.29960  48.58959
Musashi 75%                  35.666718 37.806721 39.946724 42.086727 44.22673 46.36673 48.50674 50.64674 52.78674 54.92675 57.06675 59.20675 61.34675 63.48676 65.62676 67.76676 69.90677 72.04677 74.18677 76.32678  78.46678  80.60678

Lion/Friedrich der Grobe 25%  9.394395 10.248431 11.102467 11.956503 12.81054 13.66457 14.51861 15.37265 16.22668 17.08072 17.93475 18.78879 19.64283 20.49686 21.35090 22.20493 23.05897 23.91301 24.76704 25.62108  26.47511  27.32915
Lion/Friedrich der Grobe 50% 19.708165 21.499816 23.291468 25.083119 26.87477 28.66642 30.45807 32.24972 34.04138 35.83303 37.62468 39.41633 41.20798 42.99963 44.79128 46.58294 48.37459 50.16624 51.95789 53.74954  55.54119  57.33284
Lion/Friedrich der Grobe 75% 32.694491 35.666718 38.638944 41.611171 44.58340 47.55562 50.52785 53.50008 56.47230 59.44453 62.41676 65.38898 68.36121 71.33344 74.30566 77.27789 80.25011 83.22234 86.19457 89.16679  92.13902  95.11125

Iowa/Missouri 25%             8.621421  9.405187 10.188953 10.972718 11.75648 12.54025 13.32401 14.10778 14.89155 15.67531 16.45908 17.24284 18.02661 18.81037 19.59414 20.37791 21.16167 21.94544 22.72920 23.51297  24.29673  25.08050
Iowa/Missouri 50%            18.122392 19.769882 21.417372 23.064862 24.71235 26.35984 28.00733 29.65482 31.30231 32.94980 34.59729 36.24478 37.89227 39.53976 41.18725 42.83474 44.48223 46.12972 47.77721 49.42470  51.07220  52.71969
Iowa/Missouri 75%            30.236290 32.985043 35.733797 38.482550 41.23130 43.98006 46.72881 49.47756 52.22632 54.97507 57.72383 60.47258 63.22133 65.97009 68.71884 71.46759 74.21635 76.96510 79.71385 82.46261  85.21136  87.96011

Georgia 25%                   7.355729  8.042264  8.728798  9.415333 10.10187 10.78840 11.47494 12.16147 12.84801 13.53454 14.22108 14.90761 15.59415 16.28068 16.96721 17.65375 18.34028 19.02682 19.71335 20.39989  21.08642  21.77296
Georgia 50%                  15.431320 16.871576 18.311833 19.752089 21.19235 22.63260 24.07286 25.51312 26.95337 28.39363 29.83389 31.27414 32.71440 34.15465 35.59491 37.03517 38.47542 39.91568 41.35594 42.79619  44.23645  45.67671
Georgia 75%                  25.599499 27.988786 30.378072 32.767359 35.15665 37.54593 39.93522 42.32451 44.71379 47.10308 49.49236 51.88165 54.27094 56.66022 59.04951 61.43880 63.82808 66.21737 68.60666 70.99594  73.38523  75.77452

Alsace 25%                   10.669512 11.578740 12.487968 13.397196 14.30642 15.21565 16.12488 17.03411 17.94334 18.85256 19.76179 20.67102 21.58025 22.48948 23.39870 24.30793 25.21716 26.12639 27.03562 27.94484  28.85407  29.76330
Alsace 50%                   22.266843 24.164365 26.061887 27.959409 29.85693 31.75445 33.65198 35.54950 37.44702 39.34454 41.24206 43.13959 45.03711 46.93463 48.83215 50.72968 52.62720 54.52472 56.42224 58.31977  60.21729  62.11481
Alsace 75%                   36.418236 39.521703 42.625170 45.728637 48.83210 51.93557 55.03904 58.14250 61.24597 64.34944 67.45291 70.55637 73.65984 76.76331 79.86677 82.97024 86.07371 89.17718 92.28064 95.38411  98.48758 101.59104

Jean Bart 25%                 9.418397 10.221008 11.023619 11.826230 12.62884 13.43145 14.23406 15.03667 15.83929 16.64190 17.44451 18.24712 19.04973 19.85234 20.65495 21.45756 22.26018 23.06279 23.86540 24.66801  25.47062  26.27323
Jean Bart 50%                19.797649 21.484753 23.171857 24.858961 26.54606 28.23317 29.92027 31.60738 33.29448 34.98158 36.66869 38.35579 40.04290 41.73000 43.41710 45.10421 46.79131 48.47842 50.16552 51.85262  53.53973  55.22683
Jean Bart 75%                33.031370 35.846218 38.661065 41.475912 44.29076 47.10561 49.92045 52.73530 55.55015 58.36500 61.17984 63.99469 66.80954 69.62438 72.43923 75.25408 78.06893 80.88377 83.69862 86.51347  89.32831  92.14316

Sovetsky Soyuz 25%            8.369739  9.420408 10.471077 11.521747 12.57242 13.62309 14.67375 15.72442 16.77509 17.82576 18.87643 19.92710 20.97777 22.02844 23.07911 24.12978 25.18045 26.23112 27.28179 28.33246  29.38313  30.43379
Sovetsky Soyuz 50%           17.516689 19.715593 21.914496 24.113400 26.31230 28.51121 30.71011 32.90901 35.10792 37.30682 39.50572 41.70463 43.90353 46.10243 48.30134 50.50024 52.69915 54.89805 57.09695 59.29586  61.49476  63.69366
Sovetsky Soyuz 75%           28.866197 32.489826 36.113455 39.737083 43.36071 46.98434 50.60797 54.23160 57.85523 61.47886 65.10249 68.72612 72.34974 75.97337 79.59700 83.22063 86.84426 90.46789 94.09152 97.71515 101.33878 104.96240

 

Spoiler

                                     5         6         7         8         9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25        26
Izumo 25%                     9.352758  9.913923 10.475089 11.036254 11.597419 12.15858 12.71975 13.28092 13.84208 14.40325 14.96441 15.52558 16.08674 16.64791 17.20907 17.77024 18.33140 18.89257 19.45374 20.01490 20.57607  21.13723
Izumo 50%                    19.676938 20.857554 22.038170 23.218787 24.399403 25.58002 26.76064 27.94125 29.12187 30.30248 31.48310 32.66372 33.84433 35.02495 36.20557 37.38618 38.56680 39.74741 40.92803 42.10865 43.28926  44.46988
Izumo 75%                    32.933576 34.909590 36.885605 38.861619 40.837634 42.81365 44.78966 46.76568 48.74169 50.71771 52.69372 54.66974 56.64575 58.62176 60.59778 62.57379 64.54981 66.52582 68.50184 70.47785 72.45387  74.42988

Musashi 25%                  10.113912 10.720746 11.327581 11.934416 12.541250 13.14809 13.75492 14.36175 14.96859 15.57542 16.18226 16.78909 17.39593 18.00276 18.60960 19.21643 19.82327 20.43010 21.03694 21.64377 22.25061  22.85744
Musashi 50%                  21.198490 22.470399 23.742309 25.014218 26.286128 27.55804 28.82995 30.10186 31.37377 32.64567 33.91758 35.18949 36.46140 37.73331 39.00522 40.27713 41.54904 42.82095 44.09286 45.36477 46.63668  47.90859
Musashi 75%                  35.111581 37.218276 39.324971 41.431666 43.538360 45.64506 47.75175 49.85845 51.96514 54.07183 56.17853 58.28522 60.39192 62.49861 64.60531 66.71200 68.81870 70.92539 73.03209 75.13878 77.24548  79.35217

Lion/Friedrich der Grobe 25%  9.271086 10.113912 10.956738 11.799564 12.642390 13.48522 14.32804 15.17087 16.01369 16.85652 17.69935 18.54217 19.38500 20.22782 21.07065 21.91348 22.75630 23.59913 24.44195 25.28478 26.12760  26.97043
Lion/Friedrich der Grobe 50% 19.431949 21.198490 22.965031 24.731572 26.498112 28.26465 30.03119 31.79773 33.56428 35.33082 37.09736 38.86390 40.63044 42.39698 44.16352 45.93006 47.69660 49.46314 51.22968 52.99622 54.76277  56.52931
Lion/Friedrich der Grobe 75% 32.185616 35.111581 38.037546 40.963511 43.889476 46.81544 49.74141 52.66737 55.59334 58.51930 61.44527 64.37123 67.29720 70.22316 73.14913 76.07509 79.00106 81.92702 84.85299 87.77895 90.70492  93.63088

Iowa/Missouri 25%             8.534179  9.310014 10.085848 10.861682 11.637517 12.41335 13.18919 13.96502 14.74085 15.51669 16.29252 17.06836 17.84419 18.62003 19.39586 20.17170 20.94753 21.72336 22.49920 23.27503 24.05087  24.82670
Iowa/Missouri 50%            17.924053 19.553512 21.182972 22.812431 24.441891 26.07135 27.70081 29.33027 30.95973 32.58919 34.21865 35.84811 37.47757 39.10702 40.73648 42.36594 43.99540 45.62486 47.25432 48.88378 50.51324  52.14270
Iowa/Missouri 75%            29.854676 32.568738 35.282799 37.996861 40.710922 43.42498 46.13905 48.85311 51.56717 54.28123 56.99529 59.70935 62.42341 65.13748 67.85154 70.56560 73.27966 75.99372 78.70778 81.42184 84.13591  86.84997

Georgia 25%                   7.259178  7.936702  8.614225  9.291748  9.969272 10.64680 11.32432 12.00184 12.67937 13.35689 14.03441 14.71194 15.38946 16.06698 16.74451 17.42203 18.09955 18.77708 19.45460 20.13212 20.80965  21.48717
Georgia 50%                  15.215045 16.635116 18.055187 19.475258 20.895329 22.31540 23.73547 25.15554 26.57561 27.99568 29.41575 30.83582 32.25590 33.67597 35.09604 36.51611 37.93618 39.35625 40.77632 42.19639 43.61646  45.03653
Georgia 75%                  25.201054 27.553152 29.905251 32.257349 34.609448 36.96155 39.31364 41.66574 44.01784 46.36994 48.72204 51.07414 53.42623 55.77833 58.13043 60.48253 62.83463 65.18673 67.53883 69.89092 72.24302  74.59512

Alsace 25%                   10.440962 11.330713 12.220465 13.110216 13.999968 14.88972 15.77947 16.66922 17.55897 18.44873 19.33848 20.22823 21.11798 22.00773 22.89748 23.78723 24.67699 25.56674 26.45649 27.34624 28.23599  29.12574
Alsace 50%                   21.772645 23.628053 25.483461 27.338869 29.194277 31.04968 32.90509 34.76050 36.61591 38.47132 40.32672 42.18213 44.03754 45.89295 47.74836 49.60376 51.45917 53.31458 55.16999 57.02540 58.88080  60.73621
Alsace 75%                   35.592581 38.625688 41.658795 44.691902 47.725009 50.75812 53.79122 56.82433 59.85744 62.89054 65.92365 68.95676 71.98986 75.02297 78.05608 81.08918 84.12229 87.15540 90.18851 93.22161 96.25472  99.28783

Jean Bart 25%                 9.323089 10.117579 10.912068 11.706558 12.501047 13.29554 14.09003 14.88451 15.67900 16.47349 17.26798 18.06247 18.85696 19.65145 20.44594 21.24043 22.03492 22.82941 23.62390 24.41839 25.21288  26.00737
Jean Bart 50%                19.580975 21.249615 22.918255 24.586894 26.255534 27.92417 29.59281 31.26145 32.93009 34.59873 36.26737 37.93601 39.60465 41.27329 42.94193 44.61057 46.27921 47.94785 49.61649 51.28513 52.95377  54.62241
Jean Bart 75%                32.614480 35.393801 38.173122 40.952443 43.731764 46.51108 49.29041 52.06973 54.84905 57.62837 60.40769 63.18701 65.96633 68.74565 71.52497 74.30429 77.08362 79.86294 82.64226 85.42158 88.20090  90.98022

Sovetsky Soyuz 25%            8.228661  9.261621 10.294580 11.327540 12.360499 13.39346 14.42642 15.45938 16.49234 17.52530 18.55826 19.59122 20.62418 21.65714 22.69010 23.72305 24.75601 25.78897 26.82193 27.85489 28.88785  29.92081
Sovetsky Soyuz 50%           17.205917 19.365808 21.525700 23.685592 25.845483 28.00537 30.16527 32.32516 34.48505 36.64494 38.80483 40.96472 43.12462 45.28451 47.44440 49.60429 51.76418 53.92407 56.08397 58.24386 60.40375  62.56364
Sovetsky Soyuz 75%           28.320130 31.875210 35.430290 38.985370 42.540450 46.09553 49.65061 53.20569 56.76077 60.31585 63.87093 67.42601 70.98109 74.53617 78.09125 81.64633 85.20141 88.75649 92.31157 95.86665 99.42173 102.97681

 

Tier 8:

Spoiler

                             5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23        24        25        26
Amagi 25%            10.248431 10.863337 11.47824 12.09315 12.70805 13.32296 13.93787 14.55277 15.16768 15.78258 16.39749 17.01240 17.62730 18.24221 18.85711 19.47202 20.08693 20.70183 21.31674  21.93164  22.54655  23.16145
Amagi 50%            21.499816 22.789805 24.07979 25.36978 26.65977 27.94976 29.23975 30.52974 31.81973 33.10972 34.39971 35.68970 36.97968 38.26967 39.55966 40.84965 42.13964 43.42963 44.71962  46.00961  47.29960  48.58959
Amagi 75%            35.666718 37.806721 39.94672 42.08673 44.22673 46.36673 48.50674 50.64674 52.78674 54.92675 57.06675 59.20675 61.34675 63.48676 65.62676 67.76676 69.90677 72.04677 74.18677  76.32678  78.46678  80.60678

Kii 25%              10.684773 11.325859 11.96695 12.60803 13.24912 13.89020 14.53129 15.17238 15.81346 16.45455 17.09564 17.73672 18.37781 19.01890 19.65998 20.30107 20.94215 21.58324 22.22433  22.86541  23.50650  24.14759
Kii 50%              22.361731 23.703434 25.04514 26.38684 27.72855 29.07025 30.41195 31.75366 33.09536 34.43707 35.77877 37.12047 38.46218 39.80388 41.14558 42.48729 43.82899 45.17070 46.51240  47.85410  49.19581  50.53751
Kii 75%              36.850464 39.061492 41.27252 43.48355 45.69458 47.90560 50.11663 52.32766 54.53869 56.74971 58.96074 61.17177 63.38280 65.59383 67.80485 70.01588 72.22691 74.43794 76.64896  78.85999  81.07102  83.28205

Monarch 25%           9.394395 10.248431 11.10247 11.95650 12.81054 13.66457 14.51861 15.37265 16.22668 17.08072 17.93475 18.78879 19.64283 20.49686 21.35090 22.20493 23.05897 23.91301 24.76704  25.62108  26.47511  27.32915
Monarch 50%          19.708165 21.499816 23.29147 25.08312 26.87477 28.66642 30.45807 32.24972 34.04138 35.83303 37.62468 39.41633 41.20798 42.99963 44.79128 46.58294 48.37459 50.16624 51.95789  53.74954  55.54119  57.33284
Monarch 75%          32.694491 35.666718 38.63894 41.61117 44.58340 47.55562 50.52785 53.50008 56.47230 59.44453 62.41676 65.38898 68.36121 71.33344 74.30566 77.27789 80.25011 83.22234 86.19457  89.16679  92.13902  95.11125

Vanguard 25%          8.051021  8.860051  9.66908 10.47811 11.28714 12.09617 12.90520 13.71423 14.52326 15.33229 16.14132 16.95035 17.75937 18.56840 19.37743 20.18646 20.99549 21.80452 22.61355  23.42258  24.23161  25.04064
Vanguard 50%         16.950642 18.653975 20.35731 22.06064 23.76397 25.46731 27.17064 28.87397 30.57730 32.28064 33.98397 35.68730 37.39064 39.09397 40.79730 42.50063 44.20397 45.90730 47.61063  49.31396  51.01730  52.72063
Vanguard 75%         28.417341 31.272937 34.12853 36.98413 39.83973 42.69532 45.55092 48.40651 51.26211 54.11771 56.97330 59.82890 62.68450 65.54009 68.39569 71.25128 74.10688 76.96248 79.81807  82.67367  85.52927  88.38486

Bismarck/Tirpitz 25%  9.394395 10.248431 11.10247 11.95650 12.81054 13.66457 14.51861 15.37265 16.22668 17.08072 17.93475 18.78879 19.64283 20.49686 21.35090 22.20493 23.05897 23.91301 24.76704  25.62108  26.47511  27.32915
Bismarck/Tirpitz 50% 19.708165 21.499816 23.29147 25.08312 26.87477 28.66642 30.45807 32.24972 34.04138 35.83303 37.62468 39.41633 41.20798 42.99963 44.79128 46.58294 48.37459 50.16624 51.95789  53.74954  55.54119  57.33284
Bismarck/Tirpitz 75% 32.694491 35.666718 38.63894 41.61117 44.58340 47.55562 50.52785 53.50008 56.47230 59.44453 62.41676 65.38898 68.36121 71.33344 74.30566 77.27789 80.25011 83.22234 86.19457  89.16679  92.13902  95.11125

North Carolina 25%    9.290452 10.135039 10.97963 11.82421 12.66880 13.51338 14.35797 15.20256 16.04714 16.89173 17.73632 18.58090 19.42549 20.27008 21.11466 21.95925 22.80384 23.64842 24.49301  25.33760  26.18218  27.02677
North Carolina 50%   19.560143 21.338338 23.11653 24.89473 26.67292 28.45112 30.22931 32.00751 33.78570 35.56390 37.34209 39.12029 40.89848 42.67668 44.45487 46.23306 48.01126 49.78945 51.56765  53.34584  55.12404  56.90223
North Carolina 75%   32.792106 35.773207 38.75431 41.73541 44.71651 47.69761 50.67871 53.65981 56.64091 59.62201 62.60311 65.58421 68.56531 71.54641 74.52751 77.50861 80.48971 83.47082 86.45192  89.43302  92.41412  95.39522

Alabama 25%           9.686990 10.567626 11.44826 12.32890 13.20953 14.09017 14.97080 15.85144 16.73207 17.61271 18.49335 19.37398 20.25462 21.13525 22.01589 22.89652 23.77716 24.65779 25.53843  26.41906  27.29970  28.18034
Alabama 50%          20.362238 22.213350 24.06446 25.91558 27.76669 29.61780 31.46891 33.32003 35.17114 37.02225 38.87336 40.72448 42.57559 44.42670 46.27781 48.12893 49.98004 51.83115 53.68226  55.53338  57.38449  59.23560
Alabama 75%          33.973359 37.061846 40.15033 43.23882 46.32731 49.41579 52.50428 55.59277 58.68126 61.76974 64.85823 67.94672 71.03521 74.12369 77.21218 80.30067 83.38915 86.47764 89.56613  92.65462  95.74310  98.83159

Massachusetts 25%    10.531586 11.489003 12.44642 13.40384 14.36125 15.31867 16.27609 17.23350 18.19092 19.14834 20.10576 21.06317 22.02059 22.97801 23.93542 24.89284 25.85026 26.80767 27.76509  28.72251  29.67992  30.63734
Massachusetts 50%    22.041132 24.044872 26.04861 28.05235 30.05609 32.05983 34.06357 36.06731 38.07105 40.07479 42.07853 44.08226 46.08600 48.08974 50.09348 52.09722 54.10096 56.10470 58.10844  60.11218  62.11592  64.11966
Massachusetts 75%    36.322142 39.624155 42.92617 46.22818 49.53019 52.83221 56.13422 59.43623 62.73824 66.04026 69.34227 72.64428 75.94630 79.24831 82.55032 85.85234 89.15435 92.45636 95.75837  99.06039 102.36240 105.66441

Richelieu/Roma 25%    9.821413 10.658368 11.49532 12.33228 13.16923 14.00619 14.84314 15.68010 16.51705 17.35401 18.19097 19.02792 19.86488 20.70183 21.53879 22.37574 23.21270 24.04965 24.88661  25.72356  26.56052  27.39747
Richelieu/Roma 50%   20.603991 22.359809 24.11563 25.87145 27.62726 29.38308 31.13890 32.89472 34.65054 36.40636 38.16217 39.91799 41.67381 43.42963 45.18545 46.94127 48.69708 50.45290 52.20872  53.96454  55.72036  57.47618
Richelieu/Roma 75%   34.180604 37.093386 40.00617 42.91895 45.83173 48.74451 51.65730 54.57008 57.48286 60.39564 63.30842 66.22121 69.13399 72.04677 74.95955 77.87233 80.78512 83.69790 86.61068  89.52346  92.43624  95.34903

Gasogne 25%           9.418397 10.221008 11.02362 11.82623 12.62884 13.43145 14.23406 15.03667 15.83929 16.64190 17.44451 18.24712 19.04973 19.85234 20.65495 21.45756 22.26018 23.06279 23.86540  24.66801  25.47062  26.27323
Gasogne 50%          19.797649 21.484753 23.17186 24.85896 26.54606 28.23317 29.92027 31.60738 33.29448 34.98158 36.66869 38.35579 40.04290 41.73000 43.41710 45.10421 46.79131 48.47842 50.16552  51.85262  53.53973  55.22683
Gasogne 75%          33.031370 35.846218 38.66106 41.47591 44.29076 47.10561 49.92045 52.73530 55.55015 58.36500 61.17984 63.99469 66.80954 69.62438 72.43923 75.25408 78.06893 80.88377 83.69862  86.51347  89.32831  92.14316

Vladivostok 25%       8.721167  9.815951 10.91074 12.00552 13.10031 14.19509 15.28988 16.38466 17.47944 18.57423 19.66901 20.76380 21.85858 22.95337 24.04815 25.14294 26.23772 27.33251 28.42729  29.52208  30.61686  31.71165
Vladivostok 50%      18.200723 20.485495 22.77027 25.05504 27.33981 29.62458 31.90935 34.19413 36.47890 38.76367 41.04844 43.33321 45.61798 47.90276 50.18753 52.47230 54.75707 57.04184 59.32661  61.61139  63.89616  66.18093
Vladivostok 75%      29.767949 33.504777 37.24160 40.97843 44.71526 48.45209 52.18892 55.92574 59.66257 63.39940 67.13623 70.87305 74.60988 78.34671 82.08354 85.82036 89.55719 93.29402 97.03085 100.76767 104.50450 108.24133

Lenin 25%             8.369739  9.420408 10.47108 11.52175 12.57242 13.62309 14.67375 15.72442 16.77509 17.82576 18.87643 19.92710 20.97777 22.02844 23.07911 24.12978 25.18045 26.23112 27.28179  28.33246  29.38313  30.43379
Lenin 50%            17.516689 19.715593 21.91450 24.11340 26.31230 28.51121 30.71011 32.90901 35.10792 37.30682 39.50572 41.70463 43.90353 46.10243 48.30134 50.50024 52.69915 54.89805 57.09695  59.29586  61.49476  63.69366
Lenin 75%            28.866197 32.489826 36.11345 39.73708 43.36071 46.98434 50.60797 54.23160 57.85523 61.47886 65.10249 68.72612 72.34974 75.97337 79.59700 83.22063 86.84426 90.46789 94.09152  97.71515 101.33878 104.96240

 

Spoiler

                             5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24        25        26
Amagi 25%            10.113912 10.720746 11.327581 11.93442 12.54125 13.14809 13.75492 14.36175 14.96859 15.57542 16.18226 16.78909 17.39593 18.00276 18.60960 19.21643 19.82327 20.43010 21.03694 21.64377  22.25061  22.85744
Amagi 50%            21.198490 22.470399 23.742309 25.01422 26.28613 27.55804 28.82995 30.10186 31.37377 32.64567 33.91758 35.18949 36.46140 37.73331 39.00522 40.27713 41.54904 42.82095 44.09286 45.36477  46.63668  47.90859
Amagi 75%            35.111581 37.218276 39.324971 41.43167 43.53836 45.64506 47.75175 49.85845 51.96514 54.07183 56.17853 58.28522 60.39192 62.49861 64.60531 66.71200 68.81870 70.92539 73.03209 75.13878  77.24548  79.35217

Kii 25%              10.504674 11.134954 11.765235 12.39551 13.02580 13.65608 14.28636 14.91664 15.54692 16.17720 16.80748 17.43776 18.06804 18.69832 19.32860 19.95888 20.58916 21.21944 21.84972 22.48000  23.11028  23.74056
Kii 50%              21.965000 23.282900 24.600800 25.91870 27.23660 28.55450 29.87240 31.19030 32.50820 33.82610 35.14400 36.46190 37.77980 39.09770 40.41560 41.73350 43.05140 44.36930 45.68720 47.00510  48.32300  49.64090
Kii 75%              36.153357 38.322559 40.491760 42.66096 44.83016 46.99936 49.16857 51.33777 53.50697 55.67617 57.84537 60.01457 62.18377 64.35298 66.52218 68.69138 70.86058 73.02978 75.19898 77.36818  79.53739  81.70659

Monarch 25%           9.271086 10.113912 10.956738 11.79956 12.64239 13.48522 14.32804 15.17087 16.01369 16.85652 17.69935 18.54217 19.38500 20.22782 21.07065 21.91348 22.75630 23.59913 24.44195 25.28478  26.12760  26.97043
Monarch 50%          19.431949 21.198490 22.965031 24.73157 26.49811 28.26465 30.03119 31.79773 33.56428 35.33082 37.09736 38.86390 40.63044 42.39698 44.16352 45.93006 47.69660 49.46314 51.22968 52.99622  54.76277  56.52931
Monarch 75%          32.185616 35.111581 38.037546 40.96351 43.88948 46.81544 49.74141 52.66737 55.59334 58.51930 61.44527 64.37123 67.29720 70.22316 73.14913 76.07509 79.00106 81.92702 84.85299 87.77895  90.70492  93.63088

Vanguard 25%          7.988814  8.791592  9.594371 10.39715 11.19993 12.00271 12.80548 13.60826 14.41104 15.21382 16.01660 16.81938 17.62215 18.42493 19.22771 20.03049 20.83327 21.63605 22.43882 23.24160  24.04438  24.84716
Vanguard 50%         16.807384 18.496322 20.185259 21.87420 23.56313 25.25207 26.94101 28.62994 30.31888 32.00782 33.69676 35.38569 37.07463 38.76357 40.45250 42.14144 43.83038 45.51932 47.20825 48.89719  50.58613  52.27507
Vanguard 75%         28.130763 30.957561 33.784360 36.61116 39.43796 42.26476 45.09155 47.91835 50.74515 53.57195 56.39875 59.22555 62.05235 64.87914 67.70594 70.53274 73.35954 76.18634 79.01314 81.83994  84.66673  87.49353

Bismarck/Tirpitz 25%  9.271086 10.113912 10.956738 11.79956 12.64239 13.48522 14.32804 15.17087 16.01369 16.85652 17.69935 18.54217 19.38500 20.22782 21.07065 21.91348 22.75630 23.59913 24.44195 25.28478  26.12760  26.97043
Bismarck/Tirpitz 50% 19.431949 21.198490 22.965031 24.73157 26.49811 28.26465 30.03119 31.79773 33.56428 35.33082 37.09736 38.86390 40.63044 42.39698 44.16352 45.93006 47.69660 49.46314 51.22968 52.99622  54.76277  56.52931
Bismarck/Tirpitz 75% 32.185616 35.111581 38.037546 40.96351 43.88948 46.81544 49.74141 52.66737 55.59334 58.51930 61.44527 64.37123 67.29720 70.22316 73.14913 76.07509 79.00106 81.92702 84.85299 87.77895  90.70492  93.63088

North Carolina 25%    9.218668 10.056729 10.894789 11.73285 12.57091 13.40897 14.24703 15.08509 15.92315 16.76121 17.59928 18.43734 19.27540 20.11346 20.95152 21.78958 22.62764 23.46570 24.30376 25.14182  25.97988  26.81794
North Carolina 50%   19.394831 21.157998 22.921164 24.68433 26.44750 28.21066 29.97383 31.73700 33.50016 35.26333 37.02650 38.78966 40.55283 42.31600 44.07916 45.84233 47.60549 49.36866 51.13183 52.89499  54.65816  56.42133
North Carolina 75%   32.461410 35.412447 38.363484 41.31452 44.26556 47.21660 50.16763 53.11867 56.06971 59.02074 61.97178 64.92282 67.87386 70.82489 73.77593 76.72697 79.67801 82.62904 85.58008 88.53112  91.48215  94.43319

Alabama 25%           9.588965 10.460689 11.332414 12.20414 13.07586 13.94759 14.81931 15.69103 16.56276 17.43448 18.30621 19.17793 20.04965 20.92138 21.79310 22.66483 23.53655 24.40828 25.28000 26.15172  27.02345  27.89517
Alabama 50%          20.139386 21.970239 23.801092 25.63195 27.46280 29.29365 31.12450 32.95536 34.78621 36.61706 38.44792 40.27877 42.10962 43.94048 45.77133 47.60218 49.43304 51.26389 53.09474 54.92560  56.75645  58.58730
Alabama 75%          33.544580 36.594087 39.643595 42.69310 45.74261 48.79212 51.84162 54.89113 57.94064 60.99015 64.03965 67.08916 70.13867 73.18817 76.23768 79.28719 82.33670 85.38620 88.43571 91.48522  94.53473  97.58423

Massachusetts 25%    10.354069 11.295348 12.236627 13.17791 14.11919 15.06046 16.00174 16.94302 17.88430 18.82558 19.76686 20.70814 21.64942 22.59070 23.53198 24.47325 25.41453 26.35581 27.29709 28.23837  29.17965  30.12093
Massachusetts 50%    21.650089 23.618279 25.586469 27.55466 29.52285 31.49104 33.45923 35.42742 37.39561 39.36380 41.33199 43.30018 45.26837 47.23656 49.20475 51.17294 53.14113 55.10932 57.07751 59.04570  61.01389  62.98208
Massachusetts 75%    35.635029 38.874578 42.114126 45.35367 48.59322 51.83277 55.07232 58.31187 61.55141 64.79096 68.03051 71.27006 74.50961 77.74916 80.98870 84.22825 87.46780 90.70735 93.94690 97.18644 100.42599 103.66554

Richelieu/Roma 25%    9.692499 10.518468 11.344438 12.17041 12.99638 13.82235 14.64832 15.47428 16.30025 17.12622 17.95219 18.77816 19.60413 20.43010 21.25607 22.08204 22.90801 23.73398 24.55995 25.38592  26.21189  27.03786
Richelieu/Roma 50%   20.315220 22.046430 23.777640 25.50885 27.24006 28.97127 30.70248 32.43369 34.16490 35.89611 37.62732 39.35853 41.08974 42.82095 44.55216 46.28337 48.01458 49.74579 51.47700 53.20821  54.93942  56.67063
Richelieu/Roma 75%   33.648598 36.516044 39.383490 42.25094 45.11838 47.98583 50.85327 53.72072 56.58816 59.45561 62.32306 65.19050 68.05795 70.92539 73.79284 76.66029 79.52773 82.39518 85.26262 88.13007  90.99751  93.86496

Gasogne 25%           9.323089 10.117579 10.912068 11.70656 12.50105 13.29554 14.09003 14.88451 15.67900 16.47349 17.26798 18.06247 18.85696 19.65145 20.44594 21.24043 22.03492 22.82941 23.62390 24.41839  25.21288  26.00737
Gasogne 50%          19.580975 21.249615 22.918255 24.58689 26.25553 27.92417 29.59281 31.26145 32.93009 34.59873 36.26737 37.93601 39.60465 41.27329 42.94193 44.61057 46.27921 47.94785 49.61649 51.28513  52.95377  54.62241
Gasogne 75%          32.614480 35.393801 38.173122 40.95244 43.73176 46.51108 49.29041 52.06973 54.84905 57.62837 60.40769 63.18701 65.96633 68.74565 71.52497 74.30429 77.08362 79.86294 82.64226 85.42158  88.20090  90.98022

Vladivostok 25%       8.534351  9.605685 10.677018 11.74835 12.81968 13.89102 14.96235 16.03369 17.10502 18.17635 19.24769 20.31902 21.39035 22.46169 23.53302 24.60435 25.67569 26.74702 27.81835 28.88969  29.96102  31.03235
Vladivostok 50%      17.796771 20.030833 22.264896 24.49896 26.73302 28.96708 31.20115 33.43521 35.66927 37.90333 40.13740 42.37146 44.60552 46.83959 49.07365 51.30771 53.54177 55.77584 58.00990 60.24396  62.47802  64.71209
Vladivostok 75%      29.093066 32.745175 36.397283 40.04939 43.70150 47.35361 51.00572 54.65782 58.30993 61.96204 65.61415 69.26626 72.91837 76.57047 80.22258 83.87469 87.52680 91.17891 94.83102 98.48312 102.13523 105.78734

Lenin 25%             8.228661  9.261621 10.294580 11.32754 12.36050 13.39346 14.42642 15.45938 16.49234 17.52530 18.55826 19.59122 20.62418 21.65714 22.69010 23.72305 24.75601 25.78897 26.82193 27.85489  28.88785  29.92081
Lenin 50%            17.205917 19.365808 21.525700 23.68559 25.84548 28.00537 30.16527 32.32516 34.48505 36.64494 38.80483 40.96472 43.12462 45.28451 47.44440 49.60429 51.76418 53.92407 56.08397 58.24386  60.40375  62.56364
Lenin 75%            28.320130 31.875210 35.430290 38.98537 42.54045 46.09553 49.65061 53.20569 56.76077 60.31585 63.87093 67.42601 70.98109 74.53617 78.09125 81.64633 85.20141 88.75649 92.31157 95.86665  99.42173 102.97681

 

Tier 7:

Spoiler

                                   5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25        26
Nagato 25%                  8.976748  9.515353 10.053958 10.59256 11.13117 11.66977 12.20838 12.74698 13.28559 13.82419 14.36280 14.90140 15.44001 15.97861 16.51722 17.05582 17.59443 18.13303 18.67164 19.21024 19.74885  20.28745
Nagato 50%                 18.899670 20.033651 21.167631 22.30161 23.43559 24.56957 25.70355 26.83753 27.97151 29.10549 30.23947 31.37345 32.50743 33.64141 34.77539 35.90937 37.04335 38.17733 39.31131 40.44529 41.57927  42.71326
Nagato 75%                 31.684840 33.585931 35.487021 37.38811 39.28920 41.19029 43.09138 44.99247 46.89356 48.79465 50.69574 52.59683 54.49793 56.39902 58.30011 60.20120 62.10229 64.00338 65.90447 67.80556 69.70665  71.60774

Ashitaka 25%                9.760411 10.346035 10.931660 11.51728 12.10291 12.68853 13.27416 13.85978 14.44541 15.03103 15.61666 16.20228 16.78791 17.37353 17.95916 18.54478 19.13040 19.71603 20.30165 20.88728 21.47290  22.05853
Ashitaka 50%               20.476016 21.704577 22.933138 24.16170 25.39026 26.61882 27.84738 29.07594 30.30450 31.53306 32.76163 33.99019 35.21875 36.44731 37.67587 38.90443 40.13299 41.36155 42.59011 43.81867 45.04723  46.27580
Ashitaka 75%               33.968303 36.006401 38.044499 40.08260 42.12070 44.15879 46.19689 48.23499 50.27309 52.31119 54.34928 56.38738 58.42548 60.46358 62.50168 64.53977 66.57787 68.61597 70.65407 72.69217 74.73027  76.76836

King George V 25%           8.947043  9.760411 10.573778 11.38715 12.20051 13.01388 13.82725 14.64062 15.45398 16.26735 17.08072 17.89409 18.70745 19.52082 20.33419 21.14756 21.96092 22.77429 23.58766 24.40103 25.21439  26.02776
King George V 50%          18.769681 20.476016 22.182350 23.88868 25.59502 27.30135 29.00769 30.71402 32.42036 34.12669 35.83303 37.53936 39.24570 40.95203 42.65837 44.36470 46.07104 47.77737 49.48370 51.19004 52.89637  54.60271
King George V 75%          31.137611 33.968303 36.798994 39.62969 42.46038 45.29107 48.12176 50.95245 53.78315 56.61384 59.44453 62.27522 65.10591 67.93661 70.76730 73.59799 76.42868 79.25937 82.09006 84.92076 87.75145  90.58214

Hood 25%                    7.994912  8.798303  9.601694 10.40509 11.20848 12.01187 12.81526 13.61865 14.42204 15.22543 16.02882 16.83222 17.63561 18.43900 19.24239 20.04578 20.84917 21.65256 22.45595 23.25934 24.06274  24.86613
Hood 50%                   16.805457 18.494201 20.182944 21.87169 23.56043 25.24918 26.93792 28.62666 30.31541 32.00415 33.69289 35.38164 37.07038 38.75912 40.44787 42.13661 43.82535 45.51410 47.20284 48.89158 50.58033  52.26907
Hood 75%                   28.039051 30.856634 33.674217 36.49180 39.30938 42.12697 44.94455 47.76213 50.57971 53.39730 56.21488 59.03246 61.85004 64.66763 67.48521 70.30279 73.12038 75.93796 78.75554 81.57312 84.39071  87.20829

Nelson 25%                  8.579906  9.359897 10.139889 10.91988 11.69987 12.47986 13.25985 14.03985 14.81984 15.59983 16.37982 17.15981 17.93980 18.71979 19.49979 20.27978 21.05977 21.83976 22.61975 23.39974 24.17973  24.95973
Nelson 50%                 18.035125 19.674682 21.314239 22.95380 24.59335 26.23291 27.87247 29.51202 31.15158 32.79114 34.43069 36.07025 37.70981 39.34936 40.98892 42.62848 44.26803 45.90759 47.54715 49.18670 50.82626  52.46582
Nelson 75%                 30.090689 32.826207 35.561724 38.29724 41.03276 43.76828 46.50379 49.23931 51.97483 54.71034 57.44586 60.18138 62.91690 65.65241 68.38793 71.12345 73.85896 76.59448 79.33000 82.06552 84.80103  87.53655

Duke of York/Gneisenau 25%  8.947043  9.760411 10.573778 11.38715 12.20051 13.01388 13.82725 14.64062 15.45398 16.26735 17.08072 17.89409 18.70745 19.52082 20.33419 21.14756 21.96092 22.77429 23.58766 24.40103 25.21439  26.02776
Duke of York/Gneisenau 50% 18.769681 20.476016 22.182350 23.88868 25.59502 27.30135 29.00769 30.71402 32.42036 34.12669 35.83303 37.53936 39.24570 40.95203 42.65837 44.36470 46.07104 47.77737 49.48370 51.19004 52.89637  54.60271
Duke of York/Gneisenau 75% 31.137611 33.968303 36.798994 39.62969 42.46038 45.29107 48.12176 50.95245 53.78315 56.61384 59.44453 62.27522 65.10591 67.93661 70.76730 73.59799 76.42868 79.25937 82.09006 84.92076 87.75145  90.58214

Scharnhorst 25%             8.228686  8.976748  9.724811 10.47287 11.22094 11.96900 12.71706 13.46512 14.21319 14.96125 15.70931 16.45737 17.20543 17.95350 18.70156 19.44962 20.19768 20.94575 21.69381 22.44187 23.18993  23.93800
Scharnhorst 50%            17.324698 18.899670 20.474643 22.04962 23.62459 25.19956 26.77453 28.34951 29.92448 31.49945 33.07442 34.64940 36.22437 37.79934 39.37431 40.94929 42.52426 44.09923 45.67420 47.24918 48.82415  50.39912
Scharnhorst 75%            29.044437 31.684840 34.325244 36.96565 39.60605 42.24645 44.88686 47.52726 50.16766 52.80807 55.44847 58.08887 60.72928 63.36968 66.01008 68.65049 71.29089 73.93129 76.57170 79.21210 81.85250  84.49291

Colorado 25%                8.848050  9.652418 10.456786 11.26115 12.06552 12.86989 13.67426 14.47863 15.28299 16.08736 16.89173 17.69610 18.50047 19.30484 20.10920 20.91357 21.71794 22.52231 23.32668 24.13104 24.93541  25.73978
Colorado 50%               18.628707 20.322226 22.015745 23.70926 25.40278 27.09630 28.78982 30.48334 32.17686 33.87038 35.56390 37.25741 38.95093 40.64445 42.33797 44.03149 45.72501 47.41853 49.11205 50.80557 52.49908  54.19260
Colorado 75%               31.230577 34.069721 36.908864 39.74801 42.58715 45.42629 48.26544 51.10458 53.94372 56.78287 59.62201 62.46115 65.30030 68.13944 70.97858 73.81773 76.65687 79.49601 82.33516 85.17430 88.01344  90.85259

California 25%              9.620476 10.495065 11.369654 12.24424 13.11883 13.99342 14.86801 15.74260 16.61719 17.49178 18.36636 19.24095 20.11554 20.99013 21.86472 22.73931 23.61390 24.48849 25.36307 26.23766 27.11225  27.98684
California 50%             20.182453 22.017221 23.851990 25.68676 27.52153 29.35629 31.19106 33.02583 34.86060 36.69537 38.53014 40.36491 42.19967 44.03444 45.86921 47.70398 49.53875 51.37352 53.20828 55.04305 56.87782  58.71259
California 75%             33.481302 36.525057 39.568811 42.61257 45.65632 48.70008 51.74383 54.78758 57.83134 60.87509 63.91885 66.96260 70.00636 73.05011 76.09387 79.13762 82.18138 85.22513 88.26889 91.31264 94.35640  97.40015

Lyon 25%                   10.577819 11.479233 12.380647 13.28206 14.18347 15.08489 15.98630 16.88772 17.78913 18.69055 19.59196 20.49337 21.39479 22.29620 23.19762 24.09903 25.00044 25.90186 26.80327 27.70469 28.60610  29.50751
Lyon 50%                   22.003621 23.878713 25.753804 27.62890 29.50399 31.37908 33.25417 35.12926 37.00435 38.87944 40.75453 42.62962 44.50472 46.37981 48.25490 50.12999 52.00508 53.88017 55.75526 57.63035 59.50545  61.38054
Lyon 75%                   35.689577 38.730950 41.772322 44.81370 47.85507 50.89644 53.93781 56.97919 60.02056 63.06193 66.10330 69.14468 72.18605 75.22742 78.26879 81.31017 84.35154 87.39291 90.43428 93.47566 96.51703  99.55840

Sinop 25%                   8.305873  9.348525 10.391177 11.43383 12.47648 13.51913 14.56179 15.60444 16.64709 17.68974 18.73239 19.77505 20.81770 21.86035 22.90300 23.94566 24.98831 26.03096 27.07361 28.11626 29.15892  30.20157
Sinop 50%                  17.334022 19.509995 21.685968 23.86194 26.03791 28.21389 30.38986 32.56583 34.74181 36.91778 39.09375 41.26973 43.44570 45.62167 47.79764 49.97362 52.14959 54.32556 56.50154 58.67751 60.85348  63.02946
Sinop 75%                  28.350428 31.909311 35.468195 39.02708 42.58596 46.14485 49.70373 53.26261 56.82150 60.38038 63.93926 67.49815 71.05703 74.61591 78.17480 81.73368 85.29256 88.85145 92.41033 95.96921 99.52810 103.08698

Poltava 25%                 9.327976 10.175974 11.023972 11.87197 12.71997 13.56797 14.41596 15.26396 16.11196 16.95996 17.80795 18.65595 19.50395 20.35195 21.19995 22.04794 22.89594 23.74394 24.59194 25.43994 26.28793  27.13593
Poltava 50%                19.522146 21.296886 23.071627 24.84637 26.62111 28.39585 30.17059 31.94533 33.72007 35.49481 37.26955 39.04429 40.81903 42.59377 44.36851 46.14325 47.91799 49.69273 51.46748 53.24222 55.01696  56.79170
Poltava 75%                32.171040 35.095680 38.020320 40.94496 43.86960 46.79424 49.71888 52.64352 55.56816 58.49280 61.41744 64.34208 67.26672 70.19136 73.11600 76.04064 78.96528 81.88992 84.81456 87.73920 90.66384  93.58848

 

Spoiler

                                   5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25        26
Nagato 25%                  8.907388  9.441832  9.976275 10.51072 11.04516 11.57960 12.11405 12.64849 13.18293 13.71738 14.25182 14.78626 15.32071 15.85515 16.38959 16.92404 17.45848 17.99292 18.52737 19.06181 19.59625  20.13070
Nagato 50%                 18.739941 19.864337 20.988734 22.11313 23.23753 24.36192 25.48632 26.61072 27.73511 28.85951 29.98391 31.10830 32.23270 33.35709 34.48149 35.60589 36.73028 37.85468 38.97908 40.10347 41.22787  42.35227
Nagato 75%                 31.365310 33.247229 35.129147 37.01107 38.89298 40.77490 42.65682 44.53874 46.42066 48.30258 50.18450 52.06641 53.94833 55.83025 57.71217 59.59409 61.47601 63.35793 65.23985 67.12176 69.00368  70.88560

Ashitaka 25%                9.632297 10.210235 10.788172 11.36611 11.94405 12.52199 13.09992 13.67786 14.25580 14.83374 15.41167 15.98961 16.56755 17.14549 17.72343 18.30136 18.87930 19.45724 20.03518 20.61312 21.19105  21.76899
Ashitaka 50%               20.189038 21.400380 22.611723 23.82306 25.03441 26.24575 27.45709 28.66843 29.87978 31.09112 32.30246 33.51380 34.72515 35.93649 37.14783 38.35917 39.57051 40.78186 41.99320 43.20454 44.41588  45.62723
Ashitaka 75%               33.439601 35.445977 37.452353 39.45873 41.46511 43.47148 45.47786 47.48423 49.49061 51.49699 53.50336 55.50974 57.51611 59.52249 61.52887 63.53524 65.54162 67.54799 69.55437 71.56075 73.56712  75.57350

King George V 25%           8.829605  9.632297 10.434988 11.23768 12.04037 12.84306 13.64575 14.44845 15.25114 16.05383 16.85652 17.65921 18.46190 19.26459 20.06728 20.86998 21.67267 22.47536 23.27805 24.08074 24.88343  25.68612
King George V 50%          18.506618 20.189038 21.871458 23.55388 25.23630 26.91872 28.60114 30.28356 31.96598 33.64840 35.33082 37.01324 38.69566 40.37808 42.06050 43.74292 45.42534 47.10776 48.79018 50.47260 52.15501  53.83743
King George V 75%          30.652968 33.439601 36.226234 39.01287 41.79950 44.58613 47.37277 50.15940 52.94603 55.73267 58.51930 61.30594 64.09257 66.87920 69.66584 72.45247 75.23910 78.02574 80.81237 83.59900 86.38564  89.17227

Hood 25%                    7.914010  8.709271  9.504533 10.29979 11.09506 11.89032 12.68558 13.48084 14.27610 15.07136 15.86662 16.66189 17.45715 18.25241 19.04767 19.84293 20.63819 21.43345 22.22872 23.02398 23.81924  24.61450
Hood 50%                   16.621532 18.291793 19.962054 21.63232 23.30258 24.97284 26.64310 28.31336 29.98362 31.65388 33.32414 34.99441 36.66467 38.33493 40.00519 41.67545 43.34571 45.01597 46.68623 48.35650 50.02676  51.69702
Hood 75%                   27.685170 30.467192 33.249213 36.03124 38.81326 41.59528 44.37730 47.15932 49.94134 52.72337 55.50539 58.28741 61.06943 63.85145 66.63348 69.41550 72.19752 74.97954 77.76156 80.54359 83.32561  86.10763

Nelson 25%                  8.493084  9.265182 10.037281 10.80938 11.58148 12.35358 13.12567 13.89777 14.66987 15.44197 16.21407 16.98617 17.75827 18.53036 19.30246 20.07456 20.84666 21.61876 22.39086 23.16296 23.93505  24.70715
Nelson 50%                 17.837741 19.459354 21.080967 22.70258 24.32419 25.94581 27.56742 29.18903 30.81064 32.43226 34.05387 35.67548 37.29710 38.91871 40.54032 42.16193 43.78355 45.40516 47.02677 48.64839 50.27000  51.89161
Nelson 75%                 29.710914 32.411906 35.112898 37.81389 40.51488 43.21587 45.91687 48.61786 51.31885 54.01984 56.72084 59.42183 62.12282 64.82381 67.52480 70.22580 72.92679 75.62778 78.32877 81.02976 83.73076  86.43175

Duke of York/Gneisenau 25%  8.829605  9.632297 10.434988 11.23768 12.04037 12.84306 13.64575 14.44845 15.25114 16.05383 16.85652 17.65921 18.46190 19.26459 20.06728 20.86998 21.67267 22.47536 23.27805 24.08074 24.88343  25.68612
Duke of York/Gneisenau 50% 18.506618 20.189038 21.871458 23.55388 25.23630 26.91872 28.60114 30.28356 31.96598 33.64840 35.33082 37.01324 38.69566 40.37808 42.06050 43.74292 45.42534 47.10776 48.79018 50.47260 52.15501  53.83743
Duke of York/Gneisenau 75% 30.652968 33.439601 36.226234 39.01287 41.79950 44.58613 47.37277 50.15940 52.94603 55.73267 58.51930 61.30594 64.09257 66.87920 69.66584 72.45247 75.23910 78.02574 80.81237 83.59900 86.38564  89.17227

Scharnhorst 25%             8.165106  8.907388  9.649671 10.39195 11.13424 11.87652 12.61880 13.36108 14.10336 14.84565 15.58793 16.33021 17.07249 17.81478 18.55706 19.29934 20.04162 20.78391 21.52619 22.26847 23.01075  23.75304
Scharnhorst 50%            17.178279 18.739941 20.301603 21.86326 23.42493 24.98659 26.54825 28.10991 29.67157 31.23323 32.79490 34.35656 35.91822 37.47988 39.04154 40.60321 42.16487 43.72653 45.28819 46.84985 48.41151  49.97318
Scharnhorst 75%            28.751534 31.365310 33.979086 36.59286 39.20664 41.82041 44.43419 47.04797 49.66174 52.27552 54.88929 57.50307 60.11684 62.73062 65.34440 67.95817 70.57195 73.18572 75.79950 78.41328 81.02705  83.64083

Colorado 25%                8.779684  9.577837 10.375990 11.17414 11.97230 12.77045 13.56860 14.36676 15.16491 15.96306 16.76121 17.55937 18.35752 19.15567 19.95383 20.75198 21.55013 22.34829 23.14644 23.94459 24.74275  25.54090
Colorado 50%               18.471268 20.150474 21.829680 23.50889 25.18809 26.86730 28.54650 30.22571 31.90492 33.58412 35.26333 36.94254 38.62174 40.30095 41.98015 43.65936 45.33857 47.01777 48.69698 50.37619 52.05539  53.73460
Colorado 75%               30.915628 33.726140 36.536652 39.34716 42.15767 44.96819 47.77870 50.58921 53.39972 56.21023 59.02074 61.83126 64.64177 67.45228 70.26279 73.07330 75.88381 78.69433 81.50484 84.31535 87.12586  89.93637

California 25%              9.494199 10.357308 11.220417 12.08353 12.94664 13.80974 14.67285 15.53596 16.39907 17.26218 18.12529 18.98840 19.85151 20.71462 21.57773 22.44083 23.30394 24.16705 25.03016 25.89327 26.75638  27.61949
California 50%             19.899589 21.708643 23.517697 25.32675 27.13580 28.94486 30.75391 32.56296 34.37202 36.18107 37.99013 39.79918 41.60823 43.41729 45.22634 47.03539 48.84445 50.65350 52.46255 54.27161 56.08066  57.88971
California 75%             32.960180 35.956560 38.952940 41.94932 44.94570 47.94208 50.93846 53.93484 56.93122 59.92760 62.92398 65.92036 68.91674 71.91312 74.90950 77.90588 80.90226 83.89864 86.89502 89.89140 92.88778  95.88416

Lyon 25%                   10.292971 11.170111 12.047251 12.92439 13.80153 14.67867 15.55581 16.43295 17.31009 18.18723 19.06437 19.94151 20.81865 21.69579 22.57293 23.45007 24.32721 25.20435 26.08149 26.95863 27.83577  28.71291
Lyon 50%                   21.400003 23.223655 25.047308 26.87096 28.69461 30.51827 32.34192 34.16557 35.98922 37.81287 39.63653 41.46018 43.28383 45.10748 46.93114 48.75479 50.57844 52.40209 54.22575 56.04940 57.87305  59.69670
Lyon 75%                   34.732487 37.692299 40.652111 43.61192 46.57173 49.53155 52.49136 55.45117 58.41098 61.37079 64.33061 67.29042 70.25023 73.21004 76.16985 79.12967 82.08948 85.04929 88.00910 90.96891 93.92872  96.88854

Sinop 25%                   8.127953  9.148271 10.168589 11.18891 12.20922 13.22954 14.24986 15.27018 16.29049 17.31081 18.33113 19.35145 20.37176 21.39208 22.41240 23.43272 24.45303 25.47335 26.49367 27.51399 28.53430  29.55462
Sinop 50%                  16.949305 19.076984 21.204663 23.33234 25.46002 27.58770 29.71538 31.84306 33.97074 36.09841 38.22609 40.35377 42.48145 44.60913 46.73681 48.86449 50.99217 53.11984 55.24752 57.37520 59.50288  61.63056
Sinop 75%                  27.707682 31.185880 34.664079 38.14228 41.62048 45.09867 48.57687 52.05507 55.53327 59.01147 62.48967 65.96786 69.44606 72.92426 76.40246 79.88066 83.35886 86.83705 90.31525 93.79345 97.27165 100.74985

Poltava 25%                 9.170747 10.004451 10.838155 11.67186 12.50556 13.33927 14.17297 15.00668 15.84038 16.67409 17.50779 18.34149 19.17520 20.00890 20.84261 21.67631 22.51002 23.34372 24.17742 25.01113 25.84483  26.67854
Poltava 50%                19.175794 20.919047 22.662301 24.40556 26.14881 27.89206 29.63532 31.37857 33.12183 34.86508 36.60833 38.35159 40.09484 41.83809 43.58135 45.32460 47.06786 48.81111 50.55436 52.29762 54.04087  55.78413
Poltava 75%                31.562455 34.431769 37.301083 40.17040 43.03971 45.90902 48.77834 51.64765 54.51697 57.38628 60.25560 63.12491 65.99422 68.86354 71.73285 74.60217 77.47148 80.34079 83.21011 86.07942 88.94874  91.81805

 

Tier 6:

Spoiler

                                     5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23        24        25        26
Fuso 25%                     11.037724 11.699987 12.362251 13.024514 13.68678 14.34904 15.01130 15.67357 16.33583 16.99809 17.66036 18.32262 18.98488 19.64715 20.30941 20.97167 21.63394 22.29620 22.95847  23.62073  24.28299  24.94526
Fuso 50%                     22.960301 24.337919 25.715537 27.093155 28.47077 29.84839 31.22601 32.60363 33.98124 35.35886 36.73648 38.11410 39.49172 40.86934 42.24695 43.62457 45.00219 46.37981 47.75743  49.13504  50.51266  51.89028
Fuso 75%                     37.241298 39.475776 41.710254 43.944731 46.17921 48.41369 50.64817 52.88264 55.11712 57.35160 59.58608 61.82055 64.05503 66.28951 68.52399 70.75847 72.99294 75.22742 77.46190  79.69638  81.93086  84.16533

Mutsu 25%                     9.760411 10.346035 10.931660 11.517285 12.10291 12.68853 13.27416 13.85978 14.44541 15.03103 15.61666 16.20228 16.78791 17.37353 17.95916 18.54478 19.13040 19.71603 20.30165  20.88728  21.47290  22.05853
Mutsu 50%                    20.476016 21.704577 22.933138 24.161698 25.39026 26.61882 27.84738 29.07594 30.30450 31.53306 32.76163 33.99019 35.21875 36.44731 37.67587 38.90443 40.13299 41.36155 42.59011  43.81867  45.04723  46.27580
Mutsu 75%                    33.968303 36.006401 38.044499 40.082597 42.12070 44.15879 46.19689 48.23499 50.27309 52.31119 54.34928 56.38738 58.42548 60.46358 62.50168 64.53977 66.57787 68.61597 70.65407  72.69217  74.73027  76.76836

Queen Elizabeth 25%           8.228686  8.976748  9.724811 10.472873 11.22094 11.96900 12.71706 13.46512 14.21319 14.96125 15.70931 16.45737 17.20543 17.95350 18.70156 19.44962 20.19768 20.94575 21.69381  22.44187  23.18993  23.93800
Queen Elizabeth 50%          17.324698 18.899670 20.474643 22.049615 23.62459 25.19956 26.77453 28.34951 29.92448 31.49945 33.07442 34.64940 36.22437 37.79934 39.37431 40.94929 42.52426 44.09923 45.67420  47.24918  48.82415  50.39912
Queen Elizabeth 75%          29.044437 31.684840 34.325244 36.965647 39.60605 42.24645 44.88686 47.52726 50.16766 52.80807 55.44847 58.08887 60.72928 63.36968 66.01008 68.65049 71.29089 73.93129 76.57170  79.21210  81.85250  84.49291

Warspite 25%                  7.667639  8.438144  9.208648  9.979152 10.74966 11.52016 12.29066 13.06117 13.83167 14.60218 15.37268 16.14319 16.91369 17.68419 18.45470 19.22520 19.99571 20.76621 21.53672  22.30722  23.07772  23.84823
Warspite 50%                 16.143468 17.765690 19.387912 21.010134 22.63236 24.25458 25.87680 27.49902 29.12124 30.74346 32.36569 33.98791 35.61013 37.23235 38.85457 40.47679 42.09902 43.72124 45.34346  46.96568  48.58790  50.21012
Warspite 75%                 27.064134 29.783750 32.503365 35.222981 37.94260 40.66221 43.38183 46.10144 48.82106 51.54067 54.26029 56.97990 59.69952 62.41914 65.13875 67.85837 70.57798 73.29760 76.01721  78.73683  81.45644  84.17606

Bayern 25%                    8.947043  9.760411 10.573778 11.387146 12.20051 13.01388 13.82725 14.64062 15.45398 16.26735 17.08072 17.89409 18.70745 19.52082 20.33419 21.14756 21.96092 22.77429 23.58766  24.40103  25.21439  26.02776
Bayern 50%                   18.769681 20.476016 22.182350 23.888685 25.59502 27.30135 29.00769 30.71402 32.42036 34.12669 35.83303 37.53936 39.24570 40.95203 42.65837 44.36470 46.07104 47.77737 49.48370  51.19004  52.89637  54.60271
Bayern 75%                   31.137611 33.968303 36.798994 39.629686 42.46038 45.29107 48.12176 50.95245 53.78315 56.61384 59.44453 62.27522 65.10591 67.93661 70.76730 73.59799 76.42868 79.25937 82.09006  84.92076  87.75145  90.58214

Prinz Eitel Friedrich 25%     8.228686  8.976748  9.724811 10.472873 11.22094 11.96900 12.71706 13.46512 14.21319 14.96125 15.70931 16.45737 17.20543 17.95350 18.70156 19.44962 20.19768 20.94575 21.69381  22.44187  23.18993  23.93800
Prinz Eitel Friedrich 50%    17.324698 18.899670 20.474643 22.049615 23.62459 25.19956 26.77453 28.34951 29.92448 31.49945 33.07442 34.64940 36.22437 37.79934 39.37431 40.94929 42.52426 44.09923 45.67420  47.24918  48.82415  50.39912
Prinz Eitel Friedrich 75%    29.044437 31.684840 34.325244 36.965647 39.60605 42.24645 44.88686 47.52726 50.16766 52.80807 55.44847 58.08887 60.72928 63.36968 66.01008 68.65049 71.29089 73.93129 76.57170  79.21210  81.85250  84.49291

New Mexico 25%               10.879477 11.868520 12.857563 13.846607 14.83565 15.82469 16.81374 17.80278 18.79182 19.78087 20.76991 21.75895 22.74800 23.73704 24.72608 25.71513 26.70417 27.69321 28.68226  29.67130  30.66034  31.64939
New Mexico 50%               22.631121 24.688495 26.745870 28.803245 30.86062 32.91799 34.97537 37.03274 39.09012 41.14749 43.20487 45.26224 47.31962 49.37699 51.43437 53.49174 55.54911 57.60649 59.66386  61.72124  63.77861  65.83599
New Mexico 75%               36.707372 40.044406 43.381440 46.718474 50.05551 53.39254 56.72958 60.06661 63.40364 66.74068 70.07771 73.41474 76.75178 80.08881 83.42585 86.76288 90.09991 93.43695 96.77398 100.11102 103.44805 106.78508

Arizona/W. Virginia 1941 25%  9.620476 10.495065 11.369654 12.244243 13.11883 13.99342 14.86801 15.74260 16.61719 17.49178 18.36636 19.24095 20.11554 20.99013 21.86472 22.73931 23.61390 24.48849 25.36307  26.23766  27.11225  27.98684
Arizona/W. Virginia 1941 50% 20.182453 22.017221 23.851990 25.686758 27.52153 29.35629 31.19106 33.02583 34.86060 36.69537 38.53014 40.36491 42.19967 44.03444 45.86921 47.70398 49.53875 51.37352 53.20828  55.04305  56.87782  58.71259
Arizona/W. Virginia 1941 75% 33.481302 36.525057 39.568811 42.612566 45.65632 48.70008 51.74383 54.78758 57.83134 60.87509 63.91885 66.96260 70.00636 73.05011 76.09387 79.13762 82.18138 85.22513 88.26889  91.31264  94.35640  97.40015

Normandie 25%                10.161440 11.027372 11.893303 12.759235 13.62517 14.49110 15.35703 16.22296 17.08889 17.95482 18.82075 19.68669 20.55262 21.41855 22.28448 23.15041 24.01634 24.88227 25.74821  26.61414  27.48007  28.34600
Normandie 50%                21.206517 23.013681 24.820845 26.628009 28.43517 30.24234 32.04950 33.85666 35.66383 37.47099 39.27816 41.08532 42.89249 44.69965 46.50681 48.31398 50.12114 51.92831 53.73547  55.54263  57.34980  59.15696
Normandie 75%                34.684034 37.639717 40.595400 43.551083 46.50677 49.46245 52.41813 55.37381 58.32950 61.28518 64.24086 67.19655 70.15223 73.10791 76.06359 79.01928 81.97496 84.93064 87.88633  90.84201  93.79769  96.75337

Dunkerque 25%                 9.751975 10.583013 11.414051 12.245089 13.07613 13.90716 14.73820 15.56924 16.40028 17.23132 18.06235 18.89339 19.72443 20.55547 21.38651 22.21754 23.04858 23.87962 24.71066  25.54170  26.37273  27.20377
Dunkerque 50%                20.409516 22.148762 23.888007 25.627253 27.36650 29.10574 30.84499 32.58424 34.32348 36.06273 37.80197 39.54122 41.28046 43.01971 44.75896 46.49820 48.23745 49.97669 51.71594  53.45518  55.19443  56.93368
Dunkerque 75%                33.633360 36.499507 39.365654 42.231801 45.09795 47.96410 50.83024 53.69639 56.56254 59.42868 62.29483 65.16098 68.02713 70.89327 73.75942 76.62557 79.49171 82.35786 85.22401  88.09016  90.95630  93.82245

Izmail 25%                    8.305873  9.348525 10.391177 11.433829 12.47648 13.51913 14.56179 15.60444 16.64709 17.68974 18.73239 19.77505 20.81770 21.86035 22.90300 23.94566 24.98831 26.03096 27.07361  28.11626  29.15892  30.20157
Izmail 50%                   17.334022 19.509995 21.685968 23.861941 26.03791 28.21389 30.38986 32.56583 34.74181 36.91778 39.09375 41.26973 43.44570 45.62167 47.79764 49.97362 52.14959 54.32556 56.50154  58.67751  60.85348  63.02946
Izmail 75%                   28.350428 31.909311 35.468195 39.027078 42.58596 46.14485 49.70373 53.26261 56.82150 60.38038 63.93926 67.49815 71.05703 74.61591 78.17480 81.73368 85.29256 88.85145 92.41033  95.96921  99.52810 103.08698

 

Spoiler

                                     5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24        25        26
Fuso 25%                     10.740491 11.384921 12.029350 12.673780 13.31821 13.96264 14.60707 15.25150 15.89593 16.54036 17.18479 17.82922 18.47365 19.11807 19.76250 20.40693 21.05136 21.69579 22.34022 22.98465  23.62908  24.27351
Fuso 50%                     22.330438 23.670264 25.010090 26.349917 27.68974 29.02957 30.36940 31.70922 33.04905 34.38887 35.72870 37.06853 38.40835 39.74818 41.08801 42.42783 43.76766 45.10748 46.44731 47.78714  49.12696  50.46679
Fuso 75%                     36.242595 38.417151 40.591706 42.766262 44.94082 47.11537 49.28993 51.46448 53.63904 55.81360 57.98815 60.16271 62.33726 64.51182 66.68637 68.86093 71.03549 73.21004 75.38460 77.55915  79.73371  81.90826

Mutsu 25%                     9.632297 10.210235 10.788172 11.366110 11.94405 12.52199 13.09992 13.67786 14.25580 14.83374 15.41167 15.98961 16.56755 17.14549 17.72343 18.30136 18.87930 19.45724 20.03518 20.61312  21.19105  21.76899
Mutsu 50%                    20.189038 21.400380 22.611723 23.823065 25.03441 26.24575 27.45709 28.66843 29.87978 31.09112 32.30246 33.51380 34.72515 35.93649 37.14783 38.35917 39.57051 40.78186 41.99320 43.20454  44.41588  45.62723
Mutsu 75%                    33.439601 35.445977 37.452353 39.458729 41.46511 43.47148 45.47786 47.48423 49.49061 51.49699 53.50336 55.50974 57.51611 59.52249 61.52887 63.53524 65.54162 67.54799 69.55437 71.56075  73.56712  75.57350

Queen Elizabeth 25%           8.165106  8.907388  9.649671 10.391953 11.13424 11.87652 12.61880 13.36108 14.10336 14.84565 15.58793 16.33021 17.07249 17.81478 18.55706 19.29934 20.04162 20.78391 21.52619 22.26847  23.01075  23.75304
Queen Elizabeth 50%          17.178279 18.739941 20.301603 21.863264 23.42493 24.98659 26.54825 28.10991 29.67157 31.23323 32.79490 34.35656 35.91822 37.47988 39.04154 40.60321 42.16487 43.72653 45.28819 46.84985  48.41151  49.97318
Queen Elizabeth 75%          28.751534 31.365310 33.979086 36.592862 39.20664 41.82041 44.43419 47.04797 49.66174 52.27552 54.88929 57.50307 60.11684 62.73062 65.34440 67.95817 70.57195 73.18572 75.79950 78.41328  81.02705  83.64083

Warspite 25%                  7.608394  8.372945  9.137496  9.902047 10.66660 11.43115 12.19570 12.96025 13.72480 14.48935 15.25390 16.01845 16.78300 17.54755 18.31211 19.07666 19.84121 20.60576 21.37031 22.13486  22.89941  23.66396
Warspite 50%                 16.007033 17.615544 19.224056 20.832568 22.44108 24.04959 25.65810 27.26661 28.87513 30.48364 32.09215 33.70066 35.30917 36.91768 38.52620 40.13471 41.74322 43.35173 44.96024 46.56875  48.17726  49.78578
Warspite 75%                 26.791202 29.483392 32.175581 34.867770 37.55996 40.25215 42.94434 45.63653 48.32872 51.02090 53.71309 56.40528 59.09747 61.78966 64.48185 67.17404 69.86623 72.55842 75.25061 77.94280  80.63498  83.32717

Bayern 25%                    8.829605  9.632297 10.434988 11.237680 12.04037 12.84306 13.64575 14.44845 15.25114 16.05383 16.85652 17.65921 18.46190 19.26459 20.06728 20.86998 21.67267 22.47536 23.27805 24.08074  24.88343  25.68612
Bayern 50%                   18.506618 20.189038 21.871458 23.553878 25.23630 26.91872 28.60114 30.28356 31.96598 33.64840 35.33082 37.01324 38.69566 40.37808 42.06050 43.74292 45.42534 47.10776 48.79018 50.47260  52.15501  53.83743
Bayern 75%                   30.652968 33.439601 36.226234 39.012868 41.79950 44.58613 47.37277 50.15940 52.94603 55.73267 58.51930 61.30594 64.09257 66.87920 69.66584 72.45247 75.23910 78.02574 80.81237 83.59900  86.38564  89.17227

Prinz Eitel Friedrich 25%     8.165106  8.907388  9.649671 10.391953 11.13424 11.87652 12.61880 13.36108 14.10336 14.84565 15.58793 16.33021 17.07249 17.81478 18.55706 19.29934 20.04162 20.78391 21.52619 22.26847  23.01075  23.75304
Prinz Eitel Friedrich 50%    17.178279 18.739941 20.301603 21.863264 23.42493 24.98659 26.54825 28.10991 29.67157 31.23323 32.79490 34.35656 35.91822 37.47988 39.04154 40.60321 42.16487 43.72653 45.28819 46.84985  48.41151  49.97318
Prinz Eitel Friedrich 75%    28.751534 31.365310 33.979086 36.592862 39.20664 41.82041 44.43419 47.04797 49.66174 52.27552 54.88929 57.50307 60.11684 62.73062 65.34440 67.95817 70.57195 73.18572 75.79950 78.41328  81.02705  83.64083

New Mexico 25%               10.586506 11.548915 12.511325 13.473735 14.43614 15.39855 16.36096 17.32337 18.28578 19.24819 20.21060 21.17301 22.13542 23.09783 24.06024 25.02265 25.98506 26.94747 27.90988 28.87229  29.83470  30.79711
New Mexico 50%               22.010288 24.011224 26.012159 28.013094 30.01403 32.01496 34.01590 36.01684 38.01777 40.01871 42.01964 44.02058 46.02151 48.02245 50.02338 52.02432 54.02525 56.02619 58.02712 60.02806  62.02899  64.02993
New Mexico 75%               35.722988 38.970532 42.218076 45.465621 48.71317 51.96071 55.20825 58.45580 61.70334 64.95089 68.19843 71.44598 74.69352 77.94106 81.18861 84.43615 87.68370 90.93124 94.17879 97.42633 100.67387 103.92142

Arizona/W. Virginia 1941 25%  9.494199 10.357308 11.220417 12.083526 12.94664 13.80974 14.67285 15.53596 16.39907 17.26218 18.12529 18.98840 19.85151 20.71462 21.57773 22.44083 23.30394 24.16705 25.03016 25.89327  26.75638  27.61949
Arizona/W. Virginia 1941 50% 19.899589 21.708643 23.517697 25.326750 27.13580 28.94486 30.75391 32.56296 34.37202 36.18107 37.99013 39.79918 41.60823 43.41729 45.22634 47.03539 48.84445 50.65350 52.46255 54.27161  56.08066  57.88971
Arizona/W. Virginia 1941 75% 32.960180 35.956560 38.952940 41.949320 44.94570 47.94208 50.93846 53.93484 56.93122 59.92760 62.92398 65.92036 68.91674 71.91312 74.90950 77.90588 80.90226 83.89864 86.89502 89.89140  92.88778  95.88416

Normandie 25%                 9.943773 10.791155 11.638538 12.485920 13.33330 14.18068 15.02807 15.87545 16.72283 17.57021 18.41760 19.26498 20.11236 20.95974 21.80713 22.65451 23.50189 24.34927 25.19666 26.04404  26.89142  27.73880
Normandie 50%                20.735852 22.502907 24.269963 26.037018 27.80407 29.57113 31.33818 33.10524 34.87229 36.63935 38.40640 40.17346 41.94052 43.70757 45.47463 47.24168 49.00874 50.77579 52.54285 54.30990  56.07696  57.84401
Normandie 75%                33.897696 36.786369 39.675043 42.563716 45.45239 48.34106 51.22974 54.11841 57.00708 59.89576 62.78443 65.67310 68.56178 71.45045 74.33912 77.22779 80.11647 83.00514 85.89381 88.78249  91.67116  94.55983

Dunkerque 25%                 9.587599 10.404629 11.221659 12.038690 12.85572 13.67275 14.48978 15.30681 16.12384 16.94087 17.75790 18.57493 19.39196 20.20899 21.02602 21.84305 22.66008 23.47711 24.29414 25.11117  25.92820  26.74523
Dunkerque 50%                20.047421 21.755809 23.464198 25.172587 26.88098 28.58936 30.29775 32.00614 33.71453 35.42292 37.13131 38.83970 40.54809 42.25648 43.96486 45.67325 47.38164 49.09003 50.79842 52.50681  54.21520  55.92359
Dunkerque 75%                32.997112 35.809039 38.620967 41.432895 44.24482 47.05675 49.86868 52.68061 55.49253 58.30446 61.11639 63.92832 66.74025 69.55217 72.36410 75.17603 77.98796 80.79988 83.61181 86.42374  89.23567  92.04760

Izmail 25%                    8.127953  9.148271 10.168589 11.188906 12.20922 13.22954 14.24986 15.27018 16.29049 17.31081 18.33113 19.35145 20.37176 21.39208 22.41240 23.43272 24.45303 25.47335 26.49367 27.51399  28.53430  29.55462
Izmail 50%                   16.949305 19.076984 21.204663 23.332342 25.46002 27.58770 29.71538 31.84306 33.97074 36.09841 38.22609 40.35377 42.48145 44.60913 46.73681 48.86449 50.99217 53.11984 55.24752 57.37520  59.50288  61.63056
Izmail 75%                   27.707682 31.185880 34.664079 38.142277 41.62048 45.09867 48.57687 52.05507 55.53327 59.01147 62.48967 65.96786 69.44606 72.92426 76.40246 79.88066 83.35886 86.83705 90.31525 93.79345  97.27165 100.74985

 

Tier 5:

Spoiler

                                     5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Kongo 25%                     9.760411 10.346035 10.931660 11.51728 12.10291 12.68853 13.27416 13.85978 14.44541 15.03103 15.61666 16.20228 16.78791 17.37353 17.95916 18.54478 19.13040 19.71603 20.30165 20.88728 21.47290 22.05853
Kongo 50%                    20.476016 21.704577 22.933138 24.16170 25.39026 26.61882 27.84738 29.07594 30.30450 31.53306 32.76163 33.99019 35.21875 36.44731 37.67587 38.90443 40.13299 41.36155 42.59011 43.81867 45.04723 46.27580
Kongo 75%                    33.968303 36.006401 38.044499 40.08260 42.12070 44.15879 46.19689 48.23499 50.27309 52.31119 54.34928 56.38738 58.42548 60.46358 62.50168 64.53977 66.57787 68.61597 70.65407 72.69217 74.73027 76.76836

Iron Duke/Konig 25%           8.947043  9.760411 10.573778 11.38715 12.20051 13.01388 13.82725 14.64062 15.45398 16.26735 17.08072 17.89409 18.70745 19.52082 20.33419 21.14756 21.96092 22.77429 23.58766 24.40103 25.21439 26.02776
Iron Duke/Konig 50%          18.769681 20.476016 22.182350 23.88868 25.59502 27.30135 29.00769 30.71402 32.42036 34.12669 35.83303 37.53936 39.24570 40.95203 42.65837 44.36470 46.07104 47.77737 49.48370 51.19004 52.89637 54.60271
Iron Duke/Konig 75%          31.137611 33.968303 36.798994 39.62969 42.46038 45.29107 48.12176 50.95245 53.78315 56.61384 59.44453 62.27522 65.10591 67.93661 70.76730 73.59799 76.42868 79.25937 82.09006 84.92076 87.75145 90.58214

New York/Texas 25%            9.620476 10.495065 11.369654 12.24424 13.11883 13.99342 14.86801 15.74260 16.61719 17.49178 18.36636 19.24095 20.11554 20.99013 21.86472 22.73931 23.61390 24.48849 25.36307 26.23766 27.11225 27.98684
New York/Texas 50%           20.182453 22.017221 23.851990 25.68676 27.52153 29.35629 31.19106 33.02583 34.86060 36.69537 38.53014 40.36491 42.19967 44.03444 45.86921 47.70398 49.53875 51.37352 53.20828 55.04305 56.87782 58.71259
New York/Texas 75%           33.481302 36.525057 39.568811 42.61257 45.65632 48.70008 51.74383 54.78758 57.83134 60.87509 63.91885 66.96260 70.00636 73.05011 76.09387 79.13762 82.18138 85.22513 88.26889 91.31264 94.35640 97.40015

Bretagne 25%                  9.353727 10.150827 10.947927 11.74503 12.54213 13.33923 14.13633 14.93343 15.73053 16.52763 17.32473 18.12183 18.91893 19.71603 20.51313 21.31023 22.10733 22.90443 23.70153 24.49863 25.29573 26.09283
Bretagne 50%                 19.622848 21.295056 22.967264 24.63947 26.31168 27.98389 29.65610 31.32830 33.00051 34.67272 36.34493 38.01714 39.68934 41.36155 43.03376 44.70597 46.37818 48.05038 49.72259 51.39480 53.06701 54.73922
Bretagne 75%                 32.552957 35.327035 38.101113 40.87519 43.64927 46.42335 49.19742 51.97150 54.74558 57.51966 60.29374 63.06782 65.84189 68.61597 71.39005 74.16413 76.93821 79.71228 82.48636 85.26044 88.03452 90.80860

Pyotr Velikiy 25%             7.971180  8.971817  9.972455 10.97309 11.97373 12.97437 13.97500 14.97564 15.97628 16.97692 17.97755 18.97819 19.97883 20.97947 21.98010 22.98074 23.98138 24.98202 25.98265 26.98329 27.98393 28.98457
Pyotr Velikiy 50%            16.682561 18.776755 20.870949 22.96514 25.05934 27.15353 29.24772 31.34192 33.43611 35.53031 37.62450 39.71869 41.81289 43.90708 46.00127 48.09547 50.18966 52.28386 54.37805 56.47224 58.56644 60.66063
Pyotr Velikiy 75%            27.491616 30.942691 34.393766 37.84484 41.29592 44.74699 48.19807 51.64914 55.10022 58.55129 62.00237 65.45344 68.90452 72.35559 75.80667 79.25774 82.70882 86.15989 89.61097 93.06204 96.51312 99.96419

Oktyabrskaya Revolutsiya 25%  8.947043  9.760411 10.573778 11.38715 12.20051 13.01388 13.82725 14.64062 15.45398 16.26735 17.08072 17.89409 18.70745 19.52082 20.33419 21.14756 21.96092 22.77429 23.58766 24.40103 25.21439 26.02776
Oktyabrskaya Revolutsiya 50% 18.769681 20.476016 22.182350 23.88868 25.59502 27.30135 29.00769 30.71402 32.42036 34.12669 35.83303 37.53936 39.24570 40.95203 42.65837 44.36470 46.07104 47.77737 49.48370 51.19004 52.89637 54.60271
Oktyabrskaya Revolutsiya 75% 31.137611 33.968303 36.798994 39.62969 42.46038 45.29107 48.12176 50.95245 53.78315 56.61384 59.44453 62.27522 65.10591 67.93661 70.76730 73.59799 76.42868 79.25937 82.09006 84.92076 87.75145 90.58214

Giulio Cesare 25%             8.969901  9.734293 10.498685 11.26308 12.02747 12.79186 13.55625 14.32064 15.08503 15.84943 16.61382 17.37821 18.14260 18.90699 19.67138 20.43578 21.20017 21.96456 22.72895 23.49334 24.25773 25.02213
Giulio Cesare 50%            18.854903 20.461669 22.068435 23.67520 25.28197 26.88873 28.49550 30.10226 31.70903 33.31579 34.92256 36.52933 38.13609 39.74286 41.34962 42.95639 44.56315 46.16992 47.77669 49.38345 50.99022 52.59698
Giulio Cesare 75%            31.458448 34.139255 36.820062 39.50087 42.18168 44.86248 47.54329 50.22410 52.90490 55.58571 58.26652 60.94732 63.62813 66.30894 68.98974 71.67055 74.35136 77.03216 79.71297 82.39378 85.07459 87.75539

Viribus Unitis 25%            9.353727 10.150827 10.947927 11.74503 12.54213 13.33923 14.13633 14.93343 15.73053 16.52763 17.32473 18.12183 18.91893 19.71603 20.51313 21.31023 22.10733 22.90443 23.70153 24.49863 25.29573 26.09283
Viribus Unitis 50%           19.622848 21.295056 22.967264 24.63947 26.31168 27.98389 29.65610 31.32830 33.00051 34.67272 36.34493 38.01714 39.68934 41.36155 43.03376 44.70597 46.37818 48.05038 49.72259 51.39480 53.06701 54.73922
Viribus Unitis 75%           32.552957 35.327035 38.101113 40.87519 43.64927 46.42335 49.19742 51.97150 54.74558 57.51966 60.29374 63.06782 65.84189 68.61597 71.39005 74.16413 76.93821 79.71228 82.48636 85.26044 88.03452 90.80860

 

Spoiler

                                     5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Kongo 25%                     9.632297 10.210235 10.788172 11.36611 11.94405 12.52199 13.09992 13.67786 14.25580 14.83374 15.41167 15.98961 16.56755 17.14549 17.72343 18.30136 18.87930 19.45724 20.03518 20.61312 21.19105 21.76899
Kongo 50%                    20.189038 21.400380 22.611723 23.82306 25.03441 26.24575 27.45709 28.66843 29.87978 31.09112 32.30246 33.51380 34.72515 35.93649 37.14783 38.35917 39.57051 40.78186 41.99320 43.20454 44.41588 45.62723
Kongo 75%                    33.439601 35.445977 37.452353 39.45873 41.46511 43.47148 45.47786 47.48423 49.49061 51.49699 53.50336 55.50974 57.51611 59.52249 61.52887 63.53524 65.54162 67.54799 69.55437 71.56075 73.56712 75.57350

Iron Duke/Konig 25%           8.829605  9.632297 10.434988 11.23768 12.04037 12.84306 13.64575 14.44845 15.25114 16.05383 16.85652 17.65921 18.46190 19.26459 20.06728 20.86998 21.67267 22.47536 23.27805 24.08074 24.88343 25.68612
Iron Duke/Konig 50%          18.506618 20.189038 21.871458 23.55388 25.23630 26.91872 28.60114 30.28356 31.96598 33.64840 35.33082 37.01324 38.69566 40.37808 42.06050 43.74292 45.42534 47.10776 48.79018 50.47260 52.15501 53.83743
Iron Duke/Konig 75%          30.652968 33.439601 36.226234 39.01287 41.79950 44.58613 47.37277 50.15940 52.94603 55.73267 58.51930 61.30594 64.09257 66.87920 69.66584 72.45247 75.23910 78.02574 80.81237 83.59900 86.38564 89.17227

New York/Texas 25%            9.494199 10.357308 11.220417 12.08353 12.94664 13.80974 14.67285 15.53596 16.39907 17.26218 18.12529 18.98840 19.85151 20.71462 21.57773 22.44083 23.30394 24.16705 25.03016 25.89327 26.75638 27.61949
New York/Texas 50%           19.899589 21.708643 23.517697 25.32675 27.13580 28.94486 30.75391 32.56296 34.37202 36.18107 37.99013 39.79918 41.60823 43.41729 45.22634 47.03539 48.84445 50.65350 52.46255 54.27161 56.08066 57.88971
New York/Texas 75%           32.960180 35.956560 38.952940 41.94932 44.94570 47.94208 50.93846 53.93484 56.93122 59.92760 62.92398 65.92036 68.91674 71.91312 74.90950 77.90588 80.90226 83.89864 86.89502 89.89140 92.88778 95.88416

Bretagne 25%                  9.230951 10.017589 10.804226 11.59086 12.37750 13.16414 13.95078 14.73741 15.52405 16.31069 17.09733 17.88396 18.67060 19.45724 20.24388 21.03051 21.81715 22.60379 23.39043 24.17706 24.96370 25.75034
Bretagne 50%                 19.347828 20.996600 22.645371 24.29414 25.94291 27.59169 29.24046 30.88923 32.53800 34.18677 35.83554 37.48431 39.13309 40.78186 42.43063 44.07940 45.72817 47.37694 49.02571 50.67449 52.32326 53.97203
Bretagne 75%                 32.046284 34.777185 37.508086 40.23899 42.96989 45.70079 48.43169 51.16259 53.89349 56.62439 59.35529 62.08619 64.81709 67.54799 70.27889 73.00980 75.74070 78.47160 81.20250 83.93340 86.66430 89.39520

Pyotr Velikiy 25%             7.836820  8.820591  9.804362 10.78813 11.77190 12.75568 13.73945 14.72322 15.70699 16.69076 17.67453 18.65830 19.64207 20.62584 21.60961 22.59339 23.57716 24.56093 25.54470 26.52847 27.51224 28.49601
Pyotr Velikiy 50%            16.386587 18.443627 20.500667 22.55771 24.61475 26.67179 28.72883 30.78586 32.84290 34.89994 36.95698 39.01402 41.07106 43.12810 45.18514 47.24218 49.29922 51.35626 53.41330 55.47034 57.52738 59.58442
Pyotr Velikiy 75%            26.971552 30.357343 33.743133 37.12892 40.51471 43.90051 47.28630 50.67209 54.05788 57.44367 60.82946 64.21525 67.60104 70.98683 74.37262 77.75841 81.14420 84.52999 87.91578 91.30157 94.68736 98.07315

Oktyabrskaya Revolutsiya 25%  8.829605  9.632297 10.434988 11.23768 12.04037 12.84306 13.64575 14.44845 15.25114 16.05383 16.85652 17.65921 18.46190 19.26459 20.06728 20.86998 21.67267 22.47536 23.27805 24.08074 24.88343 25.68612
Oktyabrskaya Revolutsiya 50% 18.506618 20.189038 21.871458 23.55388 25.23630 26.91872 28.60114 30.28356 31.96598 33.64840 35.33082 37.01324 38.69566 40.37808 42.06050 43.74292 45.42534 47.10776 48.79018 50.47260 52.15501 53.83743
Oktyabrskaya Revolutsiya 75% 30.652968 33.439601 36.226234 39.01287 41.79950 44.58613 47.37277 50.15940 52.94603 55.73267 58.51930 61.30594 64.09257 66.87920 69.66584 72.45247 75.23910 78.02574 80.81237 83.59900 86.38564 89.17227

Giulio Cesare 25%             8.879133  9.635789 10.392446 11.14910 11.90576 12.66242 13.41907 14.17573 14.93239 15.68904 16.44570 17.20235 17.95901 18.71567 19.47232 20.22898 20.98564 21.74229 22.49895 23.25561 24.01226 24.76892
Giulio Cesare 50%            18.648548 20.237728 21.826909 23.41609 25.00527 26.59445 28.18363 29.77281 31.36199 32.95117 34.54035 36.12953 37.71872 39.30790 40.89708 42.48626 44.07544 45.66462 47.25380 48.84298 50.43216 52.02134
Giulio Cesare 75%            31.061410 33.708382 36.355354 39.00233 41.64930 44.29627 46.94324 49.59022 52.23719 54.88416 57.53113 60.17811 62.82508 65.47205 68.11902 70.76599 73.41297 76.05994 78.70691 81.35388 84.00086 86.64783

Viribus Unitis 25%            9.230951 10.017589 10.804226 11.59086 12.37750 13.16414 13.95078 14.73741 15.52405 16.31069 17.09733 17.88396 18.67060 19.45724 20.24388 21.03051 21.81715 22.60379 23.39043 24.17706 24.96370 25.75034
Viribus Unitis 50%           19.347828 20.996600 22.645371 24.29414 25.94291 27.59169 29.24046 30.88923 32.53800 34.18677 35.83554 37.48431 39.13309 40.78186 42.43063 44.07940 45.72817 47.37694 49.02571 50.67449 52.32326 53.97203
Viribus Unitis 75%           32.046284 34.777185 37.508086 40.23899 42.96989 45.70079 48.43169 51.16259 53.89349 56.62439 59.35529 62.08619 64.81709 67.54799 70.27889 73.00980 75.74070 78.47160 81.20250 83.93340 86.66430 89.39520

 

Tier 4 (Arkansas Beta has access to Artillery module on slot 6):

Spoiler

                                5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21        22        23        24        25        26
Myogi/Ishizuchi 25%      9.652418 10.231563 10.810708 11.38985 11.96900 12.54814 13.12729 13.70643 14.28558 14.86472 15.44387 16.02301 16.60216 17.18130 17.76045 18.33959 18.91874  19.49788  20.07703  20.65617  21.23532  21.81446
Myogi/Ishizuchi 50%     20.322226 21.541560 22.760893 23.98023 25.19956 26.41889 27.63823 28.85756 30.07689 31.29623 32.51556 33.73490 34.95423 36.17356 37.39290 38.61223 39.83156  41.05090  42.27023  43.48956  44.70890  45.92823
Myogi/Ishizuchi 75%     34.069721 36.113904 38.158087 40.20227 42.24645 44.29064 46.33482 48.37900 50.42319 52.46737 54.51155 56.55574 58.59992 60.64410 62.68829 64.73247 66.77665  68.82084  70.86502  72.90920  74.95339  76.99757

Orion 25%               10.451224 11.401336 12.351447 13.30156 14.25167 15.20178 16.15189 17.10200 18.05211 19.00223 19.95234 20.90245 21.85256 22.80267 23.75278 24.70289 25.65301  26.60312  27.55323  28.50334  29.45345  30.40356
Orion 50%               21.811284 23.794128 25.776972 27.75982 29.74266 31.72550 33.70835 35.69119 37.67404 39.65688 41.63972 43.62257 45.60541 47.58826 49.57110 51.55394 53.53679  55.51963  57.50248  59.48532  61.46816  63.45101
Orion 75%               35.673153 38.916167 42.159181 45.40220 48.64521 51.88822 55.13124 58.37425 61.61726 64.86028 68.10329 71.34631 74.58932 77.83233 81.07535 84.31836 87.56138  90.80439  94.04740  97.29042 100.53343 103.77645

Kaiser 25%               9.620476 10.495065 11.369654 12.24424 13.11883 13.99342 14.86801 15.74260 16.61719 17.49178 18.36636 19.24095 20.11554 20.99013 21.86472 22.73931 23.61390  24.48849  25.36307  26.23766  27.11225  27.98684
Kaiser 50%              20.182453 22.017221 23.851990 25.68676 27.52153 29.35629 31.19106 33.02583 34.86060 36.69537 38.53014 40.36491 42.19967 44.03444 45.86921 47.70398 49.53875  51.37352  53.20828  55.04305  56.87782  58.71259
Kaiser 75%              33.481302 36.525057 39.568811 42.61257 45.65632 48.70008 51.74383 54.78758 57.83134 60.87509 63.91885 66.96260 70.00636 73.05011 76.09387 79.13762 82.18138  85.22513  88.26889  91.31264  94.35640  97.40015

Wyoming 25%             10.879477 11.868520 12.857563 13.84661 14.83565 15.82469 16.81374 17.80278 18.79182 19.78087 20.76991 21.75895 22.74800 23.73704 24.72608 25.71513 26.70417  27.69321  28.68226  29.67130  30.66034  31.64939
Wyoming 50%             22.631121 24.688495 26.745870 28.80324 30.86062 32.91799 34.97537 37.03274 39.09012 41.14749 43.20487 45.26224 47.31962 49.37699 51.43437 53.49174 55.54911  57.60649  59.66386  61.72124  63.77861  65.83599
Wyoming 75%             36.707372 40.044406 43.381440 46.71847 50.05551 53.39254 56.72958 60.06661 63.40364 66.74068 70.07771 73.41474 76.75178 80.08881 83.42585 86.76288 90.09991  93.43695  96.77398 100.11102 103.44805 106.78508

Arkansas Beta 25%        9.682734 10.562983 11.443231 12.32348 13.20373 14.08398 14.96423 15.84447 16.72472 17.60497 18.48522 19.36547 20.24572 21.12597 22.00621 22.88646 23.76671  24.64696  25.52721  26.40746  27.28771  28.16795
Arkansas Beta 50%       20.141697 21.972761 23.803824 25.63489 27.46595 29.29701 31.12808 32.95914 34.79020 36.62127 38.45233 40.28339 42.11446 43.94552 45.77659 47.60765 49.43871  51.26978  53.10084  54.93190  56.76297  58.59403
Arkansas Beta 75%       32.669561 35.639522 38.609482 41.57944 44.54940 47.51936 50.48932 53.45928 56.42924 59.39920 62.36916 65.33912 68.30908 71.27904 74.24900 77.21896 80.18892  83.15888  86.12884  89.09880  92.06876  95.03872

Courbet 25%             10.057771 10.914868 11.771965 12.62906 13.48616 14.34326 15.20035 16.05745 16.91455 17.77164 18.62874 19.48584 20.34293 21.20003 22.05713 22.91423 23.77132  24.62842  25.48552  26.34261  27.19971  28.05681
Courbet 50%             21.099837 22.897910 24.695983 26.49406 28.29213 30.09020 31.88828 33.68635 35.48442 37.28249 39.08057 40.87864 42.67671 44.47479 46.27286 48.07093 49.86901  51.66708  53.46515  55.26323  57.06130  58.85937
Courbet 75%             35.003179 37.986059 40.968938 43.95182 46.93470 49.91758 52.90046 55.88334 58.86622 61.84910 64.83198 67.81486 70.79773 73.78061 76.76349 79.74637 82.72925  85.71213  88.69501  91.67789  94.66077  97.64365

Gangut 25%               9.664279 10.877454 12.090630 13.30381 14.51698 15.73016 16.94333 18.15651 19.36968 20.58286 21.79603 23.00921 24.22238 25.43556 26.64874 27.86191 29.07509  30.28826  31.50144  32.71461  33.92779  35.14096
Gangut 50%              20.029664 22.544026 25.058388 27.57275 30.08711 32.60147 35.11584 37.63020 40.14456 42.65892 45.17328 47.68765 50.20201 52.71637 55.23073 57.74509 60.25946  62.77382  65.28818  67.80254  70.31691  72.83127
Gangut 75%              32.199770 36.241869 40.283968 44.32607 48.36817 52.41026 56.45236 60.49446 64.53656 68.57866 72.62076 76.66286 80.70496 84.74706 88.78915 92.83125 96.87335 100.91545 104.95755 108.99965 113.04175 117.08385

Imperator Nikolai I 25%  7.561061  8.510215  9.459369 10.40852 11.35768 12.30683 13.25599 14.20514 15.15430 16.10345 17.05260 18.00176 18.95091 19.90007 20.84922 21.79838 22.74753  23.69669  24.64584  25.59499  26.54415  27.49330
Imperator Nikolai I 50% 15.919077 17.917429 19.915782 21.91413 23.91249 25.91084 27.90919 29.90754 31.90590 33.90425 35.90260 37.90095 39.89930 41.89766 43.89601 45.89436 47.89271  49.89107  51.88942  53.88777  55.88612  57.88447
Imperator Nikolai I 75% 26.687948 30.038137 33.388326 36.73852 40.08870 43.43889 46.78908 50.13927 53.48946 56.83965 60.18984 63.54003 66.89022 70.24041 73.59060 76.94079 80.29097  83.64116  86.99135  90.34154  93.69173  97.04192

 

Spoiler

                                5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22        23        24        25        26
Myogi/Ishizuchi 25%      9.577837 10.152507 10.72718 11.30185 11.87652 12.45119 13.02586 13.60053 14.17520 14.74987 15.32454 15.89921 16.47388 17.04855 17.62322 18.19789 18.77256 19.34723  19.92190  20.49657  21.07124  21.64591
Myogi/Ishizuchi 50%     20.150474 21.359502 22.56853 23.77756 24.98659 26.19562 27.40464 28.61367 29.82270 31.03173 32.24076 33.44979 34.65882 35.86784 37.07687 38.28590 39.49493 40.70396  41.91299  43.12201  44.33104  45.54007
Myogi/Ishizuchi 75%     33.726140 35.749708 37.77328 39.79685 41.82041 43.84398 45.86755 47.89112 49.91469 51.93826 53.96182 55.98539 58.00896 60.03253 62.05610 64.07967 66.10323 68.12680  70.15037  72.17394  74.19751  76.22108

Orion 25%               10.227349 11.157108 12.08687 13.01663 13.94639 14.87614 15.80590 16.73566 17.66542 18.59518 19.52494 20.45470 21.38446 22.31422 23.24398 24.17373 25.10349 26.03325  26.96301  27.89277  28.82253  29.75229
Orion 50%               21.327197 23.266033 25.20487 27.14371 29.08254 31.02138 32.96021 34.89905 36.83789 38.77672 40.71556 42.65439 44.59323 46.53207 48.47090 50.40974 52.34858 54.28741  56.22625  58.16508  60.10392  62.04276
Orion 75%               34.864391 38.033881 41.20337 44.37286 47.54235 50.71184 53.88133 57.05082 60.22031 63.38980 66.55929 69.72878 72.89827 76.06776 79.23725 82.40674 85.57623 88.74572  91.91521  95.08470  98.25419 101.42368

Kaiser 25%               9.494199 10.357308 11.22042 12.08353 12.94664 13.80974 14.67285 15.53596 16.39907 17.26218 18.12529 18.98840 19.85151 20.71462 21.57773 22.44083 23.30394 24.16705  25.03016  25.89327  26.75638  27.61949
Kaiser 50%              19.899589 21.708643 23.51770 25.32675 27.13580 28.94486 30.75391 32.56296 34.37202 36.18107 37.99013 39.79918 41.60823 43.41729 45.22634 47.03539 48.84445 50.65350  52.46255  54.27161  56.08066  57.88971
Kaiser 75%              32.960180 35.956560 38.95294 41.94932 44.94570 47.94208 50.93846 53.93484 56.93122 59.92760 62.92398 65.92036 68.91674 71.91312 74.90950 77.90588 80.90226 83.89864  86.89502  89.89140  92.88778  95.88416

Wyoming 25%             10.586506 11.548915 12.51133 13.47373 14.43614 15.39855 16.36096 17.32337 18.28578 19.24819 20.21060 21.17301 22.13542 23.09783 24.06024 25.02265 25.98506 26.94747  27.90988  28.87229  29.83470  30.79711
Wyoming 50%             22.010288 24.011224 26.01216 28.01309 30.01403 32.01496 34.01590 36.01684 38.01777 40.01871 42.01964 44.02058 46.02151 48.02245 50.02338 52.02432 54.02525 56.02619  58.02712  60.02806  62.02899  64.02993
Wyoming 75%             35.722988 38.970532 42.21808 45.46562 48.71317 51.96071 55.20825 58.45580 61.70334 64.95089 68.19843 71.44598 74.69352 77.94106 81.18861 84.43615 87.68370 90.93124  94.17879  97.42633 100.67387 103.92142

Arkansas Beta 25%        9.421990 10.278535 11.13508 11.99162 12.84817 13.70471 14.56126 15.41780 16.27435 17.13089 17.98744 18.84398 19.70052 20.55707 21.41361 22.27016 23.12670 23.98325  24.83979  25.69634  26.55288  27.40943
Arkansas Beta 50%       19.589157 21.369989 23.15082 24.93165 26.71249 28.49332 30.27415 32.05498 33.83582 35.61665 37.39748 39.17831 40.95915 42.73998 44.52081 46.30164 48.08248 49.86331  51.64414  53.42497  55.20580  56.98664
Arkansas Beta 75%       31.793459 34.683774 37.57409 40.46440 43.35472 46.24503 49.13535 52.02566 54.91597 57.80629 60.69660 63.58692 66.47723 69.36755 72.25786 75.14818 78.03849 80.92880  83.81912  86.70943  89.59975  92.49006

Courbet 25%              9.925754 10.771601 11.61745 12.46329 13.30914 14.15499 15.00083 15.84668 16.69253 17.53838 18.38422 19.23007 20.07592 20.92176 21.76761 22.61346 23.45930 24.30515  25.15100  25.99684  26.84269  27.68854
Courbet 50%             20.804116 22.576989 24.34986 26.12273 27.89561 29.66848 31.44135 33.21422 34.98710 36.75997 38.53284 40.30571 42.07859 43.85146 45.62433 47.39720 49.17008 50.94295  52.71582  54.48869  56.26157  58.03444
Courbet 75%             34.458370 37.394823 40.33127 43.26773 46.20418 49.14063 52.07708 55.01354 57.94999 60.88644 63.82289 66.75935 69.69580 72.63225 75.56870 78.50516 81.44161 84.37806  87.31451  90.25097  93.18742  96.12387

Gangut 25%               9.340783 10.513349 11.68592 12.85848 14.03105 15.20361 16.37618 17.54875 18.72131 19.89388 21.06645 22.23901 23.41158 24.58415 25.75671 26.92928 28.10184 29.27441  30.44698  31.61954  32.79211  33.96468
Gangut 50%              19.358660 21.788790 24.21892 26.64905 29.07918 31.50931 33.93944 36.36957 38.79970 41.22983 43.65996 46.09009 48.52022 50.95035 53.38048 55.81061 58.24074 60.67087  63.10099  65.53112  67.96125  70.39138
Gangut 75%              31.190411 35.105803 39.02119 42.93659 46.85198 50.76737 54.68276 58.59815 62.51355 66.42894 70.34433 74.25972 78.17511 82.09051 86.00590 89.92129 93.83668 97.75207 101.66747 105.58286 109.49825 113.41364

Imperator Nikolai I 25%  7.502639  8.444459  9.38628 10.32810 11.26992 12.21174 13.15356 14.09538 15.03720 15.97902 16.92085 17.86267 18.80449 19.74631 20.68813 21.62995 22.57177 23.51359  24.45541  25.39723  26.33905  27.28087
Imperator Nikolai I 50% 15.784538 17.766001 19.74746 21.72893 23.71039 25.69185 27.67332 29.65478 31.63624 33.61771 35.59917 37.58063 39.56210 41.54356 43.52502 45.50649 47.48795 49.46941  51.45088  53.43234  55.41380  57.39527
Imperator Nikolai I 75% 26.418810 29.735213 33.05162 36.36802 39.68442 43.00083 46.31723 49.63364 52.95004 56.26644 59.58285 62.89925 66.21565 69.53206 72.84846 76.16487 79.48127 82.79767  86.11408  89.43048  92.74688  96.06329

 

Tier 3:

Spoiler

                                                        5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22        23        24        25        26
Kawachi 25%                                     10.495065 11.12477 11.75447 12.38418 13.01388 13.64358 14.27329 14.90299 15.53270 16.16240 16.79210 17.42181 18.05151 18.68122 19.31092 19.94062 20.57033 21.20003  21.82974  22.45944  23.08914  23.71885
Kawachi 50%                                     22.017221 23.33825 24.65929 25.98032 27.30135 28.62239 29.94342 31.26445 32.58549 33.90652 35.22755 36.54859 37.86962 39.19065 40.51169 41.83272 43.15375 44.47479  45.79582  47.11685  48.43789  49.75892
Kawachi 75%                                     36.525057 38.71656 40.90806 43.09957 45.29107 47.48257 49.67408 51.86558 54.05708 56.24859 58.44009 60.63159 62.82310 65.01460 67.20610 69.39761 71.58911 73.78061  75.97212  78.16362  80.35512  82.54663

Bellerophon/Dreadnought/Nassau/Konig Albert 25%  9.620476 10.49507 11.36965 12.24424 13.11883 13.99342 14.86801 15.74260 16.61719 17.49178 18.36636 19.24095 20.11554 20.99013 21.86472 22.73931 23.61390 24.48849  25.36307  26.23766  27.11225  27.98684
Bellerophon/Dreadnought/Nassau/Konig Albert 50% 20.182453 22.01722 23.85199 25.68676 27.52153 29.35629 31.19106 33.02583 34.86060 36.69537 38.53014 40.36491 42.19967 44.03444 45.86921 47.70398 49.53875 51.37352  53.20828  55.04305  56.87782  58.71259
Bellerophon/Dreadnought/Nassau/Konig Albert 75% 33.481302 36.52506 39.56881 42.61257 45.65632 48.70008 51.74383 54.78758 57.83134 60.87509 63.91885 66.96260 70.00636 73.05011 76.09387 79.13762 82.18138 85.22513  88.26889  91.31264  94.35640  97.40015

South Carolina 25%                               9.225705 10.06441 10.90311 11.74181 12.58051 13.41921 14.25791 15.09661 15.93531 16.77401 17.61271 18.45141 19.29011 20.12881 20.96751 21.80621 22.64491 23.48361  24.32231  25.16101  25.99971  26.83841
South Carolina 50%                              19.392608 21.15557 22.91854 24.68150 26.44446 28.20743 29.97039 31.73336 33.49632 35.25929 37.02225 38.78522 40.54818 42.31114 44.07411 45.83707 47.60004 49.36300  51.12597  52.88893  54.65189  56.41486
South Carolina 75%                              32.355580 35.29700 38.23841 41.17983 44.12125 47.06266 50.00408 52.94549 55.88691 58.82833 61.76974 64.71116 67.65258 70.59399 73.53541 76.47683 79.41824 82.35966  85.30107  88.24249  91.18391  94.12532

Turenne 25%                                     10.057771 10.91487 11.77196 12.62906 13.48616 14.34326 15.20035 16.05745 16.91455 17.77164 18.62874 19.48584 20.34293 21.20003 22.05713 22.91423 23.77132 24.62842  25.48552  26.34261  27.19971  28.05681
Turenne 50%                                     21.099837 22.89791 24.69598 26.49406 28.29213 30.09020 31.88828 33.68635 35.48442 37.28249 39.08057 40.87864 42.67671 44.47479 46.27286 48.07093 49.86901 51.66708  53.46515  55.26323  57.06130  58.85937
Turenne 75%                                     35.003179 37.98606 40.96894 43.95182 46.93470 49.91758 52.90046 55.88334 58.86622 61.84910 64.83198 67.81486 70.79773 73.78061 76.76349 79.74637 82.72925 85.71213  88.69501  91.67789  94.66077  97.64365

Knyaz Suvorov 25%                                9.297007 10.46408 11.63115 12.79822 13.96529 15.13236 16.29943 17.46651 18.63358 19.80065 20.96772 22.13479 23.30186 24.46893 25.63600 26.80307 27.97015 29.13722  30.30429  31.47136  32.63843  33.80550
Knyaz Suvorov 50%                               19.339321 21.76702 24.19473 26.62243 29.05013 31.47783 33.90553 36.33324 38.76094 41.18864 43.61634 46.04404 48.47175 50.89945 53.32715 55.75485 58.18255 60.61026  63.03796  65.46566  67.89336  70.32106
Knyaz Suvorov 75%                               31.368118 35.30582 39.24352 43.18122 47.11892 51.05662 54.99432 58.93202 62.86972 66.80742 70.74512 74.68282 78.62052 82.55822 86.49592 90.43362 94.37132 98.30902 102.24672 106.18442 110.12212 114.05982

 

Spoiler

                                                        5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23        24        25        26
Kawachi 25%                                     10.357308 10.978747 11.60019 12.22162 12.84306 13.46450 14.08594 14.70738 15.32882 15.95025 16.57169 17.19313 17.81457 18.43601 19.05745 19.67889 20.30032 20.92176 21.54320  22.16464  22.78608  23.40752
Kawachi 50%                                     21.708643 23.011162 24.31368 25.61620 26.91872 28.22124 29.52375 30.82627 32.12879 33.43131 34.73383 36.03635 37.33887 38.64138 39.94390 41.24642 42.54894 43.85146 45.15398  46.45650  47.75901  49.06153
Kawachi 75%                                     35.956560 38.113954 40.27135 42.42874 44.58613 46.74353 48.90092 51.05832 53.21571 55.37310 57.53050 59.68789 61.84528 64.00268 66.16007 68.31746 70.47486 72.63225 74.78965  76.94704  79.10443  81.26183

Bellerophon/Dreadnought/Nassau/Konig Albert 25%  9.494199 10.357308 11.22042 12.08353 12.94664 13.80974 14.67285 15.53596 16.39907 17.26218 18.12529 18.98840 19.85151 20.71462 21.57773 22.44083 23.30394 24.16705 25.03016  25.89327  26.75638  27.61949
Bellerophon/Dreadnought/Nassau/Konig Albert 50% 19.899589 21.708643 23.51770 25.32675 27.13580 28.94486 30.75391 32.56296 34.37202 36.18107 37.99013 39.79918 41.60823 43.41729 45.22634 47.03539 48.84445 50.65350 52.46255  54.27161  56.08066  57.88971
Bellerophon/Dreadnought/Nassau/Konig Albert 75% 32.960180 35.956560 38.95294 41.94932 44.94570 47.94208 50.93846 53.93484 56.93122 59.92760 62.92398 65.92036 68.91674 71.91312 74.90950 77.90588 80.90226 83.89864 86.89502  89.89140  92.88778  95.88416

South Carolina 25%                               9.132348  9.962561 10.79277 11.62299 12.45320 13.28342 14.11363 14.94384 15.77406 16.60427 17.43448 18.26470 19.09491 19.92512 20.75534 21.58555 22.41576 23.24598 24.07619  24.90640  25.73662  26.56683
South Carolina 50%                              19.180367 20.924037 22.66771 24.41138 26.15505 27.89872 29.64239 31.38606 33.12973 34.87339 36.61706 38.36073 40.10440 41.84807 43.59174 45.33541 47.07908 48.82275 50.56642  52.31009  54.05376  55.79743
South Carolina 75%                              31.947219 34.851512 37.75580 40.66010 43.56439 46.46868 49.37297 52.27727 55.18156 58.08585 60.99015 63.89444 66.79873 69.70302 72.60732 75.51161 78.41590 81.32019 84.22449  87.12878  90.03307  92.93736

Turenne 25%                                      9.925754 10.771601 11.61745 12.46329 13.30914 14.15499 15.00083 15.84668 16.69253 17.53838 18.38422 19.23007 20.07592 20.92176 21.76761 22.61346 23.45930 24.30515 25.15100  25.99684  26.84269  27.68854
Turenne 50%                                     20.804116 22.576989 24.34986 26.12273 27.89561 29.66848 31.44135 33.21422 34.98710 36.75997 38.53284 40.30571 42.07859 43.85146 45.62433 47.39720 49.17008 50.94295 52.71582  54.48869  56.26157  58.03444
Turenne 75%                                     34.458370 37.394823 40.33127 43.26773 46.20418 49.14063 52.07708 55.01354 57.94999 60.88644 63.82289 66.75935 69.69580 72.63225 75.56870 78.50516 81.44161 84.37806 87.31451  90.25097  93.18742  96.12387

Knyaz Suvorov 25%                                9.046650 10.182294 11.31794 12.45358 13.58922 14.72487 15.86051 16.99615 18.13180 19.26744 20.40308 21.53873 22.67437 23.81001 24.94566 26.08130 27.21694 28.35259 29.48823  30.62387  31.75952  32.89516
Knyaz Suvorov 50%                               18.808792 21.169895 23.53100 25.89210 28.25321 30.61431 32.97541 35.33652 37.69762 40.05872 42.41983 44.78093 47.14204 49.50314 51.86424 54.22535 56.58645 58.94755 61.30866  63.66976  66.03086  68.39197
Knyaz Suvorov 75%                               30.526917 34.359019 38.19112 42.02322 45.85533 49.68743 53.51953 57.35163 61.18374 65.01584 68.84794 72.68004 76.51214 80.34425 84.17635 88.00845 91.84055 95.67266 99.50476 103.33686 107.16896 111.00107

 

Tier 2:

Spoiler

                   5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Mikasa 25%  9.401829 10.07526 10.74870 11.42213 12.09556 12.76900 13.44243 14.11586 14.78930 15.46273 16.13616 16.80960 17.48303 18.15646 18.82990 19.50333 20.17676 20.85020 21.52363 22.19706 22.87050 23.54393
Mikasa 50% 19.723761 21.13653 22.54930 23.96208 25.37485 26.78762 28.20039 29.61316 31.02593 32.43871 33.85148 35.26425 36.67702 38.08979 39.50256 40.91534 42.32811 43.74088 45.15365 46.56642 47.97919 49.39197
Mikasa 75% 32.720363 35.06405 37.40775 39.75144 42.09513 44.43882 46.78251 49.12620 51.46989 53.81358 56.15727 58.50097 60.84466 63.18835 65.53204 67.87573 70.21942 72.56311 74.90680 77.25049 79.59419 81.93788

 

Spoiler

                   5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Mikasa 25%  9.278422  9.943016 10.60761 11.27220 11.93680 12.60139 13.26599 13.93058 14.59517 15.25977 15.92436 16.58896 17.25355 17.91814 18.58274 19.24733 19.91193 20.57652 21.24111 21.90571 22.57030 23.23490
Mikasa 50% 19.447326 20.840297 22.23327 23.62624 25.01921 26.41218 27.80515 29.19812 30.59110 31.98407 33.37704 34.77001 36.16298 37.55595 38.94892 40.34190 41.73487 43.12784 44.52081 45.91378 47.30675 48.69972
Mikasa 75% 32.211085 34.518298 36.82551 39.13272 41.43994 43.74715 46.05436 48.36157 50.66879 52.97600 55.28321 57.59042 59.89764 62.20485 64.51206 66.81927 69.12649 71.43370 73.74091 76.04812 78.35534 80.66255

 

 


 

DDs and cruisers:

Spoiler

                                     5         6         7         8         9        10        11        12        13        14        15        16        17       18       19       20       21       22       23       24       25
DD tier II-IV 25%             4.222933  4.826209  5.429485  6.032761  6.636037  7.239313  7.842589  8.445866  9.049142  9.652418 10.255694 10.858970 11.462246 12.06552 12.66880 13.27207 13.87535 14.47863 15.08190 15.68518 16.28845
DD tier II-IV 50%             8.890974 10.161113 11.431252 12.701391 13.971531 15.241670 16.511809 17.781948 19.052087 20.322226 21.592365 22.862505 24.132644 25.40278 26.67292 27.94306 29.21320 30.48334 31.75348 33.02362 34.29376
DD tier II-IV 75%            14.905503 17.034860 19.164218 21.293575 23.422933 25.552290 27.681648 29.811006 31.940363 34.069721 36.199078 38.328436 40.457793 42.58715 44.71651 46.84587 48.97522 51.10458 53.23394 55.36330 57.49265

DD and IJN CA tier V-VII 25%  3.927327  4.488374  5.049421  5.610468  6.171515  6.732561  7.293608  7.854655  8.415702  8.976748  9.537795 10.098842 10.659889 11.22094 11.78198 12.34303 12.90408 13.46512 14.02617 14.58722 15.14826
DD and IJN CA tier V-VII 50%  8.268606  9.449835 10.631065 11.812294 12.993523 14.174753 15.355982 16.537212 17.718441 18.899670 20.080900 21.262129 22.443359 23.62459 24.80582 25.98705 27.16828 28.34951 29.53073 30.71196 31.89319
DD and IJN CA tier V-VII 75% 13.862118 15.842420 17.822723 19.803025 21.783328 23.763630 25.743933 27.724235 29.704538 31.684840 33.665143 35.645445 37.625748 39.60605 41.58635 43.56666 45.54696 47.52726 49.50756 51.48787 53.46817

DD tier VIII-X 25%            4.123694  4.712793  5.301892  5.890991  6.480090  7.069189  7.658289  8.247388  8.836487  9.425586 10.014685 10.603784 11.192883 11.78198 12.37108 12.96018 13.54928 14.13838 14.72748 15.31658 15.90568
DD tier VIII-X 50%            8.682036  9.922327 11.162618 12.402909 13.643200 14.883490 16.123781 17.364072 18.604363 19.844654 21.084945 22.325236 23.565527 24.80582 26.04611 27.28640 28.52669 29.76698 31.00727 32.24756 33.48785
DD tier VIII-X 75%           14.555223 16.634541 18.713859 20.793176 22.872494 24.951812 27.031129 29.110447 31.189765 33.269082 35.348400 37.427717 39.507035 41.58635 43.66567 45.74499 47.82431 49.90362 51.98294 54.06226 56.14158

CL/CA tier I-IV 25%           5.429485  5.984499  6.539513  7.094527  7.649541  8.204555  8.759569  9.314583  9.869597 10.424611 10.979625 11.534639 12.089653 12.64467 13.19968 13.75470 14.30971 14.86472 15.41974 15.97475 16.52977
CL/CA tier I-IV 50%          11.431252 12.599780 13.768308 14.936836 16.105364 17.273892 18.442420 19.610948 20.779476 21.948004 23.116532 24.285060 25.453588 26.62212 27.79064 28.95917 30.12770 31.29623 32.46476 33.63328 34.80181
CL/CA tier I-IV 75%          19.164218 21.123227 23.082236 25.041245 27.000254 28.959263 30.918271 32.877280 34.836289 36.795298 38.754307 40.713316 42.672325 44.63133 46.59034 48.54935 50.50836 52.46737 54.42638 56.38539 58.34440

CL/CA tier V-VII 25%          5.049421  5.565584  6.081747  6.597910  7.114073  7.630236  8.146399  8.662562  9.178725  9.694888 10.211051 10.727214 11.243377 11.75954 12.27570 12.79187 13.30803 13.82419 14.34036 14.85652 15.37268
CL/CA tier V-VII 50%         10.631065 11.717796 12.804527 13.891258 14.977989 16.064720 17.151451 18.238182 19.324913 20.411644 21.498375 22.585106 23.671837 24.75857 25.84530 26.93203 28.01876 29.10549 30.19222 31.27895 32.36569
CL/CA tier V-VII 75%         17.822723 19.644601 21.466479 23.288358 25.110236 26.932114 28.753992 30.575871 32.397749 34.219627 36.041506 37.863384 39.685262 41.50714 43.32902 45.15090 46.97278 48.79465 50.61653 52.43841 54.26029

CL/CA tier VIII 25%           5.301892  5.843863  6.385834  6.927806  7.469777  8.011748  8.553719  9.095690  9.637662 10.179633 10.721604 11.263575 11.805546 12.34752 12.88949 13.43146 13.97343 14.51540 15.05737 15.59934 16.14132
CL/CA tier VIII 50%          11.162618 12.303685 13.444753 14.585821 15.726888 16.867956 18.009023 19.150091 20.291159 21.432226 22.573294 23.714361 24.855429 25.99650 27.13756 28.27863 29.41970 30.56077 31.70183 32.84290 33.98397
CL/CA tier VIII 75%          18.713859 20.626831 22.539803 24.452775 26.365748 28.278720 30.191692 32.104664 34.017637 35.930609 37.843581 39.756553 41.669525 43.58250 45.49547 47.40844 49.32141 51.23439 53.14736 55.06033 56.97330

CL/CA tier IX-X 25%           5.192867  5.723693  6.254519  6.785346  7.316172  7.846999  8.377825  8.908651  9.439478  9.970304 10.501130 11.031957 11.562783 12.09361 12.62444 13.15526 13.68609 14.21692 14.74774 15.27857 15.80939
CL/CA tier IX-X 50%          10.940517 12.058881 13.177245 14.295609 15.413973 16.532337 17.650701 18.769065 19.887429 21.005793 22.124157 23.242521 24.360885 25.47925 26.59761 27.71598 28.83434 29.95270 31.07107 32.18943 33.30780
CL/CA tier IX-X 75%          18.379548 20.258346 22.137145 24.015943 25.894741 27.773540 29.652338 31.531136 33.409934 35.288733 37.167531 39.046329 40.925127 42.80393 44.68272 46.56152 48.44032 50.31912 52.19792 54.07672 55.95551

Chikuma 25%                   4.222933  4.826209  5.429485  6.032761  6.636037  7.239313  7.842589  8.445866  9.049142  9.652418 10.255694 10.858970 11.462246 12.06552 12.66880 13.27207 13.87535 14.47863 15.08190 15.68518 16.28845
Chikuma 50%                   8.890974 10.161113 11.431252 12.701391 13.971531 15.241670 16.511809 17.781948 19.052087 20.322226 21.592365 22.862505 24.132644 25.40278 26.67292 27.94306 29.21320 30.48334 31.75348 33.02362 34.29376
Chikuma 75%                  14.905503 17.034860 19.164218 21.293575 23.422933 25.552290 27.681648 29.811006 31.940363 34.069721 36.199078 38.328436 40.457793 42.58715 44.71651 46.84587 48.97522 51.10458 53.23394 55.36330 57.49265

Mogami 203mm 25%              4.123694  4.712793  5.301892  5.890991  6.480090  7.069189  7.658289  8.247388  8.836487  9.425586 10.014685 10.603784 11.192883 11.78198 12.37108 12.96018 13.54928 14.13838 14.72748 15.31658 15.90568
Mogami 203mm 50%              8.682036  9.922327 11.162618 12.402909 13.643200 14.883490 16.123781 17.364072 18.604363 19.844654 21.084945 22.325236 23.565527 24.80582 26.04611 27.28640 28.52669 29.76698 31.00727 32.24756 33.48785
Mogami 203mm 75%             14.555223 16.634541 18.713859 20.793176 22.872494 24.951812 27.031129 29.110447 31.189765 33.269082 35.348400 37.427717 39.507035 41.58635 43.66567 45.74499 47.82431 49.90362 51.98294 54.06226 56.14158

Ibuki 25%                     4.038896  4.615882  5.192867  5.769852  6.346837  6.923822  7.500807  8.077793  8.654778  9.231763  9.808748 10.385733 10.962719 11.53970 12.11669 12.69367 13.27066 13.84764 14.42463 15.00161 15.57860
Ibuki 50%                     8.509291  9.724904 10.940517 12.156130 13.371743 14.587356 15.802969 17.018582 18.234195 19.449808 20.665421 21.881034 23.096647 24.31226 25.52787 26.74349 27.95910 29.17471 30.39033 31.60594 32.82155
Ibuki 75%                    14.295204 16.337376 18.379548 20.421720 22.463892 24.506064 26.548236 28.590408 30.632580 32.674752 34.716924 36.759096 38.801268 40.84344 42.88561 44.92778 46.96996 49.01213 51.05430 53.09647 55.13864

Azuma/Yoshino 25%             4.808210  5.539058  6.269906  7.000754  7.731602  8.462449  9.193297  9.924145 10.654993 11.385841 12.116689 12.847537 13.578385 14.30923 15.04008 15.77093 16.50178 17.23262 17.96347 18.69432 19.42517
Azuma/Yoshino 50%            10.130108 11.669885 13.209661 14.749438 16.289214 17.828991 19.368767 20.908544 22.448320 23.988097 25.527873 27.067650 28.607426 30.14720 31.68698 33.22676 34.76653 36.30631 37.84609 39.38586 40.92564
Azuma/Yoshino 75%            17.018100 19.604851 22.191603 24.778354 27.365105 29.951856 32.538608 35.125359 37.712110 40.298861 42.885612 45.472364 48.059115 50.64587 53.23262 55.81937 58.40612 60.99287 63.57962 66.16637 68.75312

Zao 25%                       3.756174  4.292770  4.829366  5.365962  5.902558  6.439155  6.975751  7.512347  8.048943  8.585540  9.122136  9.658732 10.195328 10.73192 11.26852 11.80512 12.34171 12.87831 13.41491 13.95150 14.48810
Zao 50%                       7.913641  9.044161 10.174681 11.305201 12.435721 13.566241 14.696761 15.827281 16.957802 18.088322 19.218842 20.349362 21.479882 22.61040 23.74092 24.87144 26.00196 27.13248 28.26300 29.39352 30.52404
Zao 75%                      13.294540 15.193760 17.092980 18.992200 20.891420 22.790640 24.689860 26.589080 28.488300 30.387520 32.286740 34.185960 36.085180 37.98440 39.88362 41.78284 43.68206 45.58128 47.48050 49.37972 51.27894

Admiral Graf Spee 25%         7.019923  7.675116  8.330308  8.985501  9.640694 10.295887 10.951080 11.606272 12.261465 12.916658 13.571851 14.227044 14.882236 15.53743 16.19262 16.84781 17.50301 18.15820 18.81339 19.46859 20.12378
Admiral Graf Spee 50%        14.756011 16.133239 17.510467 18.887695 20.264922 21.642150 23.019378 24.396606 25.773833 27.151061 28.528289 29.905516 31.282744 32.65997 34.03720 35.41443 36.79166 38.16888 39.54611 40.92334 42.30057
Admiral Graf Spee 75%        24.619655 26.917489 29.215324 31.513158 33.810993 36.108827 38.406662 40.704496 43.002331 45.300165 47.598000 49.895834 52.193669 54.49150 56.78934 59.08717 61.38501 63.68284 65.98068 68.27851 70.57634

Albany 25%                    4.222933  4.826209  5.429485  6.032761  6.636037  7.239313  7.842589  8.445866  9.049142  9.652418 10.255694 10.858970 11.462246 12.06552 12.66880 13.27207 13.87535 14.47863 15.08190 15.68518 16.28845
Albany 50%                    8.890974 10.161113 11.431252 12.701391 13.971531 15.241670 16.511809 17.781948 19.052087 20.322226 21.592365 22.862505 24.132644 25.40278 26.67292 27.94306 29.21320 30.48334 31.75348 33.02362 34.29376
Albany 75%                   14.905503 17.034860 19.164218 21.293575 23.422933 25.552290 27.681648 29.811006 31.940363 34.069721 36.199078 38.328436 40.457793 42.58715 44.71651 46.84587 48.97522 51.10458 53.23394 55.36330 57.49265

Atlanta/Flint 25%             4.451989  5.087987  5.723985  6.359984  6.995982  7.631981  8.267979  8.903977  9.539976 10.175974 10.811973 11.447971 12.083969 12.71997 13.35597 13.99196 14.62796 15.26396 15.89996 16.53596 17.17196
Atlanta/Flint 50%             9.317388 10.648443 11.979499 13.310554 14.641609 15.972665 17.303720 18.634776 19.965831 21.296886 22.627942 23.958997 25.290053 26.62111 27.95216 29.28322 30.61427 31.94533 33.27638 34.60744 35.93850
Atlanta/Flint 75%            15.354360 17.547840 19.741320 21.934800 24.128280 26.321760 28.515240 30.708720 32.902200 35.095680 37.289160 39.482640 41.676120 43.86960 46.06308 48.25656 50.45004 52.64352 54.83700 57.03048 59.22396

AL Montpelier 25%             4.983376  5.492788  6.002200  6.511611  7.021023  7.530435  8.039847  8.549258  9.058670  9.568082 10.077494 10.586906 11.096317 11.60573 12.11514 12.62455 13.13396 13.64338 14.15279 14.66220 15.17161
AL Montpelier 50%            10.511162 11.585637 12.660111 13.734585 14.809060 15.883534 16.958009 18.032483 19.106957 20.181432 21.255906 22.330380 23.404855 24.47933 25.55380 26.62828 27.70275 28.77723 29.85170 30.92618 32.00065
AL Montpelier 75%            17.720884 19.532352 21.343821 23.155289 24.966757 26.778225 28.589693 30.401161 32.212630 34.024098 35.835566 37.647034 39.458502 41.26997 43.08144 44.89291 46.70437 48.51584 50.32731 52.13878 53.95025

Alaska 25%                    6.923822  7.570046  8.216269  8.862493  9.508716 10.154939 10.801163 11.447386 12.093610 12.739833 13.386056 14.032280 14.678503 15.32473 15.97095 16.61717 17.26340 17.90962 18.55584 19.20207 19.84829
Alaska 50%                   14.587356 15.948843 17.310329 18.671816 20.033302 21.394789 22.756276 24.117762 25.479249 26.840735 28.202222 29.563709 30.925195 32.28668 33.64817 35.00965 36.37114 37.73263 39.09411 40.45560 41.81709
Alaska 75%                   24.506064 26.793297 29.080530 31.367762 33.654995 35.942228 38.229460 40.516693 42.803926 45.091158 47.378391 49.665624 51.952856 54.24009 56.52732 58.81455 61.10179 63.38902 65.67625 67.96348 70.25072

Puerto Rico 25%               7.957423  8.680826  9.404228 10.127630 10.851032 11.574434 12.297836 13.021238 13.744641 14.468043 15.191445 15.914847 16.638249 17.36165 18.08505 18.80846 19.53186 20.25526 20.97866 21.70206 22.42547
Puerto Rico 50%              16.792131 18.318689 19.845246 21.371803 22.898361 24.424918 25.951476 27.478033 29.004590 30.531148 32.057705 33.584263 35.110820 36.63738 38.16393 39.69049 41.21705 42.74361 44.27016 45.79672 47.32328
Puerto Rico 75%              28.352361 30.929848 33.507335 36.084823 38.662310 41.239797 43.817285 46.394772 48.972259 51.549747 54.127234 56.704721 59.282209 61.85970 64.43718 67.01467 69.59216 72.16965 74.74713 77.32462 79.90211

Colbert 25%                   4.123694  4.712793  5.301892  5.890991  6.480090  7.069189  7.658289  8.247388  8.836487  9.425586 10.014685 10.603784 11.192883 11.78198 12.37108 12.96018 13.54928 14.13838 14.72748 15.31658 15.90568
Colbert 50%                   8.682036  9.922327 11.162618 12.402909 13.643200 14.883490 16.123781 17.364072 18.604363 19.844654 21.084945 22.325236 23.565527 24.80582 26.04611 27.28640 28.52669 29.76698 31.00727 32.24756 33.48785
Colbert 75%                  14.555223 16.634541 18.713859 20.793176 22.872494 24.951812 27.031129 29.110447 31.189765 33.269082 35.348400 37.427717 39.507035 41.58635 43.66567 45.74499 47.82431 49.90362 51.98294 54.06226 56.14158

Diana 25%                     4.222933  4.826209  5.429485  6.032761  6.636037  7.239313  7.842589  8.445866  9.049142  9.652418 10.255694 10.858970 11.462246 12.06552 12.66880 13.27207 13.87535 14.47863 15.08190 15.68518 16.28845
Diana 50%                     8.890974 10.161113 11.431252 12.701391 13.971531 15.241670 16.511809 17.781948 19.052087 20.322226 21.592365 22.862505 24.132644 25.40278 26.67292 27.94306 29.21320 30.48334 31.75348 33.02362 34.29376
Diana 75%                    14.905503 17.034860 19.164218 21.293575 23.422933 25.552290 27.681648 29.811006 31.940363 34.069721 36.199078 38.328436 40.457793 42.58715 44.71651 46.84587 48.97522 51.10458 53.23394 55.36330 57.49265

Aurora 25%                    4.222933  4.826209  5.429485  6.032761  6.636037  7.239313  7.842589  8.445866  9.049142  9.652418 10.255694 10.858970 11.462246 12.06552 12.66880 13.27207 13.87535 14.47863 15.08190 15.68518 16.28845
Aurora 50%                    8.890974 10.161113 11.431252 12.701391 13.971531 15.241670 16.511809 17.781948 19.052087 20.322226 21.592365 22.862505 24.132644 25.40278 26.67292 27.94306 29.21320 30.48334 31.75348 33.02362 34.29376
Aurora 75%                   14.905503 17.034860 19.164218 21.293575 23.422933 25.552290 27.681648 29.811006 31.940363 34.069721 36.199078 38.328436 40.457793 42.58715 44.71651 46.84587 48.97522 51.10458 53.23394 55.36330 57.49265

Kronshtadt 25%                8.462449  9.231763 10.001077 10.770390 11.539704 12.309017 13.078331 13.847645 14.616958 15.386272 16.155585 16.924899 17.694212 18.46353 19.23284 20.00215 20.77147 21.54078 22.31009 23.07941 23.84872
Kronshtadt 50%               17.828991 19.449808 21.070626 22.691443 24.312260 25.933078 27.553895 29.174712 30.795530 32.416347 34.037164 35.657982 37.278799 38.89962 40.52043 42.14125 43.76207 45.38289 47.00370 48.62452 50.24534
Kronshtadt 75%               29.951856 32.674752 35.397648 38.120544 40.843440 43.566336 46.289233 49.012129 51.735025 54.457921 57.180817 59.903713 62.626609 65.34950 68.07240 70.79530 73.51819 76.24109 78.96398 81.68688 84.40978

Moskva 25%                    4.621651  5.094087  5.566522  6.038958  6.511393  6.983829  7.456264  7.928700  8.401135  8.873571  9.346006  9.818442 10.290877 10.76331 11.23575 11.70818 12.18062 12.65305 13.12549 13.59793 14.07036
Moskva 50%                    9.737060 10.732404 11.727748 12.723092 13.718436 14.713780 15.709124 16.704468 17.699812 18.695156 19.690500 20.685844 21.681187 22.67653 23.67188 24.66722 25.66256 26.65791 27.65325 28.64860 29.64394
Moskva 75%                   16.357798 18.029928 19.702059 21.374189 23.046320 24.718450 26.390581 28.062711 29.734842 31.406972 33.079102 34.751233 36.423363 38.09549 39.76762 41.43975 43.11189 44.78402 46.45615 48.12828 49.80041

Stalingrad 25%                4.661185  5.096229  5.531273  5.966317  6.401361  6.836405  7.271449  7.706493  8.141537  8.576581  9.011625  9.446669  9.881713 10.31676 10.75180 11.18684 11.62189 12.05693 12.49198 12.92702 13.36206
Stalingrad 50%                9.859150 10.779337 11.699525 12.619712 13.539900 14.460087 15.380274 16.300462 17.220649 18.140836 19.061024 19.981211 20.901398 21.82159 22.74177 23.66196 24.58215 25.50234 26.42252 27.34271 28.26290
Stalingrad 75%               16.772018 18.337406 19.902794 21.468182 23.033571 24.598959 26.164347 27.729736 29.295124 30.860512 32.425901 33.991289 35.556677 37.12207 38.68745 40.25284 41.81823 43.38362 44.94901 46.51440 48.07978

Smolensk 25%                  4.123694  4.712793  5.301892  5.890991  6.480090  7.069189  7.658289  8.247388  8.836487  9.425586 10.014685 10.603784 11.192883 11.78198 12.37108 12.96018 13.54928 14.13838 14.72748 15.31658 15.90568
Smolensk 50%                  8.682036  9.922327 11.162618 12.402909 13.643200 14.883490 16.123781 17.364072 18.604363 19.844654 21.084945 22.325236 23.565527 24.80582 26.04611 27.28640 28.52669 29.76698 31.00727 32.24756 33.48785
Smolensk 75%                 14.555223 16.634541 18.713859 20.793176 22.872494 24.951812 27.031129 29.110447 31.189765 33.269082 35.348400 37.427717 39.507035 41.58635 43.66567 45.74499 47.82431 49.90362 51.98294 54.06226 56.14158
Spoiler

                                     5         6         7         8         9        10        11        12        13        14        15        16        17       18       19       20       21       22       23       24       25
DD tier II-IV 25%             4.190304  4.788918  5.387533  5.986148  6.584763  7.183378  7.781992  8.380607  8.979222  9.577837 10.176452 10.775066 11.373681 11.97230 12.57091 13.16953 13.76814 14.36676 14.96537 15.56398 16.16260
DD tier II-IV 50%             8.815832 10.075237 11.334642 12.594046 13.853451 15.112856 16.372260 17.631665 18.891069 20.150474 21.409879 22.669283 23.928688 25.18809 26.44750 27.70690 28.96631 30.22571 31.48512 32.74452 34.00392
DD tier II-IV 75%            14.755186 16.863070 18.970954 21.078837 23.186721 25.294605 27.402489 29.510372 31.618256 33.726140 35.834024 37.941907 40.049791 42.15767 44.26556 46.37344 48.48133 50.58921 52.69709 54.80498 56.91286

DD and IJN CA tier V-VII 25%  3.896982  4.453694  5.010406  5.567118  6.123829  6.680541  7.237253  7.793965  8.350676  8.907388  9.464100 10.020812 10.577524 11.13424 11.69095 12.24766 12.80437 13.36108 13.91779 14.47451 15.03122
DD and IJN CA tier V-VII 50%  8.198724  9.369970 10.541217 11.712463 12.883709 14.054956 15.226202 16.397448 17.568695 18.739941 19.911187 21.082433 22.253680 23.42493 24.59617 25.76742 26.93867 28.10991 29.28116 30.45240 31.62365
DD and IJN CA tier V-VII 75% 13.722323 15.682655 17.642987 19.603319 21.563651 23.523983 25.484315 27.444646 29.404978 31.365310 33.325642 35.285974 37.246306 39.20664 41.16697 43.12730 45.08763 47.04797 49.00830 50.96863 52.92896

DD tier VIII-X 25%            4.091831  4.676379  5.260926  5.845474  6.430021  7.014568  7.599116  8.183663  8.768210  9.352758  9.937305 10.521852 11.106400 11.69095 12.27549 12.86004 13.44459 14.02914 14.61368 15.19823 15.78278
DD tier VIII-X 50%            8.608660  9.838469 11.068278 12.298086 13.527895 14.757703 15.987512 17.217321 18.447129 19.676938 20.906747 22.136555 23.366364 24.59617 25.82598 27.05579 28.28560 29.51541 30.74522 31.97502 33.20483
DD tier VIII-X 75%           14.408439 16.466788 18.525136 20.583485 22.641833 24.700182 26.758530 28.816879 30.875227 32.933576 34.991924 37.050273 39.108621 41.16697 43.22532 45.28367 47.34202 49.40036 51.45871 53.51706 55.57541

CL/CA tier I-IV 25%           5.387533  5.938259  6.488984  7.039710  7.590436  8.141161  8.691887  9.242613  9.793338 10.344064 10.894789 11.445515 11.996241 12.54697 13.09769 13.64842 14.19914 14.74987 15.30059 15.85132 16.40205
CL/CA tier I-IV 50%          11.334642 12.493294 13.651946 14.810598 15.969251 17.127903 18.286555 19.445207 20.603860 21.762512 22.921164 24.079816 25.238469 26.39712 27.55577 28.71443 29.87308 31.03173 32.19038 33.34903 34.50769
CL/CA tier I-IV 75%          18.970954 20.910207 22.849460 24.788713 26.727966 28.667219 30.606472 32.545725 34.484978 36.424231 38.363484 40.302737 42.241990 44.18124 46.12050 48.05975 49.99900 51.93826 53.87751 55.81676 57.75601

CL/CA tier V-VII 25%          5.010406  5.522581  6.034756  6.546930  7.059105  7.571280  8.083455  8.595630  9.107804  9.619979 10.132154 10.644329 11.156504 11.66868 12.18085 12.69303 13.20520 13.71738 14.22955 14.74173 15.25390
CL/CA tier V-VII 50%         10.541217 11.618763 12.696310 13.773857 14.851403 15.928950 17.006496 18.084043 19.161590 20.239136 21.316683 22.394229 23.471776 24.54932 25.62687 26.70442 27.78196 28.85951 29.93706 31.01460 32.09215
CL/CA tier V-VII 75%         17.642987 19.446492 21.249998 23.053503 24.857008 26.660514 28.464019 30.267524 32.071030 33.874535 35.678040 37.481546 39.285051 41.08856 42.89206 44.69557 46.49907 48.30258 50.10608 51.90959 53.71309

CL/CA tier VIII 25%           5.260926  5.798710  6.336493  6.874277  7.412060  7.949844  8.487628  9.025411  9.563195 10.100978 10.638762 11.176545 11.714329 12.25211 12.78990 13.32768 13.86546 14.40325 14.94103 15.47881 16.01660
CL/CA tier VIII 50%          11.068278 12.199702 13.331125 14.462549 15.593973 16.725397 17.856821 18.988245 20.119669 21.251093 22.382517 23.513941 24.645365 25.77679 26.90821 28.03964 29.17106 30.30248 31.43391 32.56533 33.69676
CL/CA tier VIII 75%          18.525136 20.418817 22.312498 24.206178 26.099859 27.993539 29.887220 31.780901 33.674581 35.568262 37.461942 39.355623 41.249304 43.14298 45.03666 46.93035 48.82403 50.71771 52.61139 54.50507 56.39875

CL/CA tier IX-X 25%           5.157930  5.685185  6.212440  6.739695  7.266950  7.794205  8.321460  8.848715  9.375971  9.903226 10.430481 10.957736 11.484991 12.01225 12.53950 13.06676 13.59401 14.12127 14.64852 15.17578 15.70303
CL/CA tier IX-X 50%          10.859593 11.969685 13.079777 14.189869 15.299961 16.410052 17.520144 18.630236 19.740328 20.850419 21.960511 23.070603 24.180695 25.29079 26.40088 27.51097 28.62106 29.73115 30.84125 31.95134 33.06143
CL/CA tier IX-X 75%          18.214770 20.076724 21.938678 23.800633 25.662587 27.524541 29.386495 31.248450 33.110404 34.972358 36.834312 38.696267 40.558221 42.42018 44.28213 46.14408 48.00604 49.86799 51.72995 53.59190 55.45385

Chikuma 25%                   4.190304  4.788918  5.387533  5.986148  6.584763  7.183378  7.781992  8.380607  8.979222  9.577837 10.176452 10.775066 11.373681 11.97230 12.57091 13.16953 13.76814 14.36676 14.96537 15.56398 16.16260
Chikuma 50%                   8.815832 10.075237 11.334642 12.594046 13.853451 15.112856 16.372260 17.631665 18.891069 20.150474 21.409879 22.669283 23.928688 25.18809 26.44750 27.70690 28.96631 30.22571 31.48512 32.74452 34.00392
Chikuma 75%                  14.755186 16.863070 18.970954 21.078837 23.186721 25.294605 27.402489 29.510372 31.618256 33.726140 35.834024 37.941907 40.049791 42.15767 44.26556 46.37344 48.48133 50.58921 52.69709 54.80498 56.91286

Mogami 203mm 25%              4.091831  4.676379  5.260926  5.845474  6.430021  7.014568  7.599116  8.183663  8.768210  9.352758  9.937305 10.521852 11.106400 11.69095 12.27549 12.86004 13.44459 14.02914 14.61368 15.19823 15.78278
Mogami 203mm 50%              8.608660  9.838469 11.068278 12.298086 13.527895 14.757703 15.987512 17.217321 18.447129 19.676938 20.906747 22.136555 23.366364 24.59617 25.82598 27.05579 28.28560 29.51541 30.74522 31.97502 33.20483
Mogami 203mm 75%             14.408439 16.466788 18.525136 20.583485 22.641833 24.700182 26.758530 28.816879 30.875227 32.933576 34.991924 37.050273 39.108621 41.16697 43.22532 45.28367 47.34202 49.40036 51.45871 53.51706 55.57541

Ibuki 25%                     4.011723  4.584827  5.157930  5.731033  6.304137  6.877240  7.450343  8.023447  8.596550  9.169653  9.742757 10.315860 10.888963 11.46207 12.03517 12.60827 13.18138 13.75448 14.32758 14.90069 15.47379
Ibuki 50%                     8.446350  9.652972 10.859593 12.066215 13.272836 14.479458 15.686079 16.892701 18.099322 19.305944 20.512565 21.719187 22.925808 24.13243 25.33905 26.54567 27.75229 28.95892 30.16554 31.37216 32.57878
Ibuki 75%                    14.167043 16.190906 18.214770 20.238633 22.262496 24.286360 26.310223 28.334086 30.357950 32.381813 34.405676 36.429540 38.453403 40.47727 42.50113 44.52499 46.54886 48.57272 50.59658 52.62045 54.64431

Azuma/Yoshino 25%             4.775861  5.501792  6.227723  6.953654  7.679585  8.405516  9.131446  9.857377 10.583308 11.309239 12.035170 12.761101 13.487032 14.21296 14.93889 15.66482 16.39076 17.11669 17.84262 18.56855 19.29448
Azuma/Yoshino 50%            10.055179 11.583566 13.111954 14.640341 16.168728 17.697115 19.225503 20.753890 22.282277 23.810664 25.339051 26.867439 28.395826 29.92421 31.45260 32.98099 34.50937 36.03776 37.56615 39.09454 40.62292
Azuma/Yoshino 75%            16.865528 19.429088 21.992648 24.556208 27.119768 29.683329 32.246889 34.810449 37.374009 39.937569 42.501130 45.064690 47.628250 50.19181 52.75537 55.31893 57.88249 60.44605 63.00961 65.57317 68.13673

Zao 25%                       3.730903  4.263889  4.796875  5.329861  5.862847  6.395833  6.928819  7.461805  7.994792  8.527778  9.060764  9.593750 10.126736 10.65972 11.19271 11.72569 12.25868 12.79167 13.32465 13.85764 14.39062
Zao 50%                       7.855106  8.977264 10.099422 11.221580 12.343738 13.465896 14.588054 15.710212 16.832370 17.954528 19.076686 20.198844 21.321002 22.44316 23.56532 24.68748 25.80963 26.93179 28.05395 29.17611 30.29827
Zao 75%                      13.175350 15.057543 16.939736 18.821929 20.704122 22.586315 24.468507 26.350700 28.232893 30.115086 31.997279 33.879472 35.761665 37.64386 39.52605 41.40824 43.29044 45.17263 47.05482 48.93701 50.81921

Admiral Graf Spee 25%         6.948887  7.597449  8.246012  8.894575  9.543138 10.191700 10.840263 11.488826 12.137388 12.785951 13.434514 14.083077 14.731639 15.38020 16.02876 16.67733 17.32589 17.97445 18.62302 19.27158 19.92014
Admiral Graf Spee 50%        14.594516 15.956671 17.318825 18.680980 20.043135 21.405290 22.767445 24.129599 25.491754 26.853909 28.216064 29.578219 30.940373 32.30253 33.66468 35.02684 36.38899 37.75115 39.11330 40.47546 41.83761
Admiral Graf Spee 75%        24.308929 26.577763 28.846596 31.115430 33.384263 35.653096 37.921930 40.190763 42.459597 44.728430 46.997264 49.266097 51.534930 53.80376 56.07260 58.34143 60.61026 62.87910 65.14793 67.41676 69.68560

Albany 25%                    4.190304  4.788918  5.387533  5.986148  6.584763  7.183378  7.781992  8.380607  8.979222  9.577837 10.176452 10.775066 11.373681 11.97230 12.57091 13.16953 13.76814 14.36676 14.96537 15.56398 16.16260
Albany 50%                    8.815832 10.075237 11.334642 12.594046 13.853451 15.112856 16.372260 17.631665 18.891069 20.150474 21.409879 22.669283 23.928688 25.18809 26.44750 27.70690 28.96631 30.22571 31.48512 32.74452 34.00392
Albany 75%                   14.755186 16.863070 18.970954 21.078837 23.186721 25.294605 27.402489 29.510372 31.618256 33.726140 35.834024 37.941907 40.049791 42.15767 44.26556 46.37344 48.48133 50.58921 52.69709 54.80498 56.91286

Atlanta/Flint 25%             4.376947  5.002226  5.627504  6.252782  6.878060  7.503338  8.128617  8.753895  9.379173 10.004451 10.629729 11.255008 11.880286 12.50556 13.13084 13.75612 14.38140 15.00668 15.63195 16.25723 16.88251
Atlanta/Flint 50%             9.152083 10.459524 11.766964 13.074405 14.381845 15.689286 16.996726 18.304167 19.611607 20.919047 22.226488 23.533928 24.841369 26.14881 27.45625 28.76369 30.07113 31.37857 32.68601 33.99345 35.30089
Atlanta/Flint 75%            15.063899 17.215884 19.367870 21.519855 23.671841 25.823827 27.975812 30.127798 32.279783 34.431769 36.583754 38.735740 40.887725 43.03971 45.19170 47.34368 49.49567 51.64765 53.79964 55.95162 58.10361

AL Montpelier 25%             4.958130  5.464961  5.971792  6.478623  6.985454  7.492285  7.999116  8.505947  9.012778  9.519609 10.026440 10.533271 11.040102 11.54693 12.05376 12.56060 13.06743 13.57426 14.08109 14.58792 15.09475
AL Montpelier 50%            10.452080 11.520515 12.588950 13.657384 14.725819 15.794254 16.862689 17.931124 18.999559 20.067993 21.136428 22.204863 23.273298 24.34173 25.41017 26.47860 27.54704 28.61547 29.68391 30.75234 31.82078
AL Montpelier 75%            17.596663 19.395432 21.194202 22.992972 24.791742 26.590512 28.389282 30.188052 31.986822 33.785592 35.584362 37.383132 39.181902 40.98067 42.77944 44.57821 46.37698 48.17575 49.97452 51.77329 53.57206

Alaska 25%                    6.877240  7.519116  8.160991  8.802867  9.444743 10.086619 10.728494 11.370370 12.012246 12.654122 13.295997 13.937873 14.579749 15.22162 15.86350 16.50538 17.14725 17.78913 18.43100 19.07288 19.71475
Alaska 50%                   14.479458 15.830874 17.182290 18.533706 19.885122 21.236538 22.587954 23.939370 25.290787 26.642203 27.993619 29.345035 30.696451 32.04787 33.39928 34.75070 36.10212 37.45353 38.80495 40.15636 41.50778
Alaska 75%                   24.286360 26.553087 28.819814 31.086540 33.353267 35.619994 37.886721 40.153448 42.420175 44.686902 46.953629 49.220356 51.487083 53.75381 56.02054 58.28726 60.55399 62.82072 65.08744 67.35417 69.62090

Puerto Rico 25%               7.922558  8.642790  9.363023 10.083255 10.803488 11.523720 12.243953 12.964185 13.684418 14.404650 15.124883 15.845115 16.565348 17.28558 18.00581 18.72605 19.44628 20.16651 20.88674 21.60698 22.32721
Puerto Rico 50%              16.710166 18.229272 19.748378 21.267484 22.786590 24.305696 25.824802 27.343908 28.863014 30.382120 31.901226 33.420332 34.939438 36.45854 37.97765 39.49676 41.01586 42.53497 44.05407 45.57318 47.09229
Puerto Rico 75%              28.177540 30.739134 33.300729 35.862323 38.423918 40.985512 43.547107 46.108702 48.670296 51.231891 53.793485 56.355080 58.916674 61.47827 64.03986 66.60146 69.16305 71.72465 74.28624 76.84784 79.40943

Colbert 25%                   4.091831  4.676379  5.260926  5.845474  6.430021  7.014568  7.599116  8.183663  8.768210  9.352758  9.937305 10.521852 11.106400 11.69095 12.27549 12.86004 13.44459 14.02914 14.61368 15.19823 15.78278
Colbert 50%                   8.608660  9.838469 11.068278 12.298086 13.527895 14.757703 15.987512 17.217321 18.447129 19.676938 20.906747 22.136555 23.366364 24.59617 25.82598 27.05579 28.28560 29.51541 30.74522 31.97502 33.20483
Colbert 75%                  14.408439 16.466788 18.525136 20.583485 22.641833 24.700182 26.758530 28.816879 30.875227 32.933576 34.991924 37.050273 39.108621 41.16697 43.22532 45.28367 47.34202 49.40036 51.45871 53.51706 55.57541

Diana 25%                     4.190304  4.788918  5.387533  5.986148  6.584763  7.183378  7.781992  8.380607  8.979222  9.577837 10.176452 10.775066 11.373681 11.97230 12.57091 13.16953 13.76814 14.36676 14.96537 15.56398 16.16260
Diana 50%                     8.815832 10.075237 11.334642 12.594046 13.853451 15.112856 16.372260 17.631665 18.891069 20.150474 21.409879 22.669283 23.928688 25.18809 26.44750 27.70690 28.96631 30.22571 31.48512 32.74452 34.00392
Diana 75%                    14.755186 16.863070 18.970954 21.078837 23.186721 25.294605 27.402489 29.510372 31.618256 33.726140 35.834024 37.941907 40.049791 42.15767 44.26556 46.37344 48.48133 50.58921 52.69709 54.80498 56.91286

Aurora 25%                    4.190304  4.788918  5.387533  5.986148  6.584763  7.183378  7.781992  8.380607  8.979222  9.577837 10.176452 10.775066 11.373681 11.97230 12.57091 13.16953 13.76814 14.36676 14.96537 15.56398 16.16260
Aurora 50%                    8.815832 10.075237 11.334642 12.594046 13.853451 15.112856 16.372260 17.631665 18.891069 20.150474 21.409879 22.669283 23.928688 25.18809 26.44750 27.70690 28.96631 30.22571 31.48512 32.74452 34.00392
Aurora 75%                   14.755186 16.863070 18.970954 21.078837 23.186721 25.294605 27.402489 29.510372 31.618256 33.726140 35.834024 37.941907 40.049791 42.15767 44.26556 46.37344 48.48133 50.58921 52.69709 54.80498 56.91286

Kronshtadt 25%                8.405516  9.169653  9.933791 10.697929 11.462067 12.226204 12.990342 13.754480 14.518618 15.282756 16.046893 16.811031 17.575169 18.33931 19.10344 19.86758 20.63172 21.39586 22.16000 22.92413 23.68827
Kronshtadt 50%               17.697115 19.305944 20.914773 22.523601 24.132430 25.741259 27.350087 28.958916 30.567745 32.176573 33.785402 35.394231 37.003059 38.61189 40.22072 41.82955 43.43837 45.04720 46.65603 48.26486 49.87369
Kronshtadt 75%               29.683329 32.381813 35.080297 37.778782 40.477266 43.175751 45.874235 48.572719 51.271204 53.969688 56.668173 59.366657 62.065142 64.76363 67.46211 70.16059 72.85908 75.55756 78.25605 80.95453 83.65302

Moskva 25%                    4.590558  5.059815  5.529072  5.998329  6.467586  6.936843  7.406100  7.875357  8.344614  8.813871  9.283128  9.752385 10.221642 10.69090 11.16016 11.62941 12.09867 12.56793 13.03718 13.50644 13.97570
Moskva 50%                    9.665038 10.653020 11.641002 12.628983 13.616965 14.604947 15.592928 16.580910 17.568892 18.556873 19.544855 20.532837 21.520818 22.50880 23.49678 24.48476 25.47275 26.46073 27.44871 28.43669 29.42467
Moskva 75%                   16.211145 17.868284 19.525424 21.182563 22.839702 24.496842 26.153981 27.811120 29.468259 31.125399 32.782538 34.439677 36.096816 37.75396 39.41110 41.06823 42.72537 44.38251 46.03965 47.69679 49.35393

Stalingrad 25%                4.656169  5.090745  5.525321  5.959897  6.394472  6.829048  7.263624  7.698200  8.132776  8.567351  9.001927  9.436503  9.871079 10.30565 10.74023 11.17481 11.60938 12.04396 12.47853 12.91311 13.34769
Stalingrad 50%                9.847025 10.766080 11.685136 12.604191 13.523247 14.442303 15.361358 16.280414 17.199470 18.118525 19.037581 19.956636 20.875692 21.79475 22.71380 23.63286 24.55191 25.47097 26.39003 27.30908 28.22814
Stalingrad 75%               16.743771 18.306523 19.869275 21.432027 22.994779 24.557531 26.120283 27.683035 29.245787 30.808539 32.371291 33.934043 35.496795 37.05955 38.62230 40.18505 41.74780 43.31056 44.87331 46.43606 47.99881

Smolensk 25%                  4.091831  4.676379  5.260926  5.845474  6.430021  7.014568  7.599116  8.183663  8.768210  9.352758  9.937305 10.521852 11.106400 11.69095 12.27549 12.86004 13.44459 14.02914 14.61368 15.19823 15.78278
Smolensk 50%                  8.608660  9.838469 11.068278 12.298086 13.527895 14.757703 15.987512 17.217321 18.447129 19.676938 20.906747 22.136555 23.366364 24.59617 25.82598 27.05579 28.28560 29.51541 30.74522 31.97502 33.20483
Smolensk 75%                 14.408439 16.466788 18.525136 20.583485 22.641833 24.700182 26.758530 28.816879 30.875227 32.933576 34.991924 37.050273 39.108621 41.16697 43.22532 45.28367 47.34202 49.40036 51.45871 53.51706 55.57541

 

 

Below is data before correction for the uniform distribution reroll:


Spoiler

 

Adjusted dispersion by sigma, all assume use of camouflage by the target and the ASM1 module on slot 3 when eligible. Americans have both the results with and without the Artillery module on slot 6.

Japanese BB line:

Spoiler

With concealment module on slot 5 on the target:



                      5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.5 25% 11.166541 11.836533 12.506526 13.17652 13.84651 14.51650 15.18650 15.85649 16.52648 17.19647 17.86647 18.53646 19.20645 19.87644 20.54644 21.21643 21.88642 22.55641 23.22640 23.89640 24.56639 25.23638
sigma 1.5 50% 23.266886 24.662899 26.058912 27.45493 28.85094 30.24695 31.64297 33.03898 34.43499 35.83100 37.22702 38.62303 40.01904 41.41506 42.81107 44.20708 45.60310 46.99911 48.39512 49.79114 51.18715 52.58316
sigma 1.5 75% 37.948653 40.225572 42.502492 44.77941 47.05633 49.33325 51.61017 53.88709 56.16401 58.44093 60.71785 62.99476 65.27168 67.54860 69.82552 72.10244 74.37936 76.65628 78.93320 81.21012 83.48704 85.76396

sigma 1.7 25% 10.372701 10.995063 11.617425 12.23979 12.86215 13.48451 14.10687 14.72924 15.35160 15.97396 16.59632 17.21868 17.84105 18.46341 19.08577 19.70813 20.33049 20.95286 21.57522 22.19758 22.81994 23.44230
sigma 1.7 50% 21.718299 23.021397 24.324495 25.62759 26.93069 28.23379 29.53689 30.83998 32.14308 33.44618 34.74928 36.05238 37.35547 38.65857 39.96167 41.26477 42.56787 43.87096 45.17406 46.47716 47.78026 49.08336
sigma 1.7 75% 35.877552 38.030205 40.182858 42.33551 44.48816 46.64082 48.79347 50.94612 53.09878 55.25143 57.40408 59.55674 61.70939 63.86204 66.01470 68.16735 70.32000 72.47265 74.62531 76.77796 78.93061 81.08327

sigma 1.8 25%  9.987613 10.586869 11.186126 11.78538 12.38464 12.98390 13.58315 14.18241 14.78167 15.38092 15.98018 16.57944 17.17869 17.77795 18.37721 18.97646 19.57572 20.17498 20.77423 21.37349 21.97275 22.57200
sigma 1.8 50% 20.953671 22.210891 23.468111 24.72533 25.98255 27.23977 28.49699 29.75421 31.01143 32.26865 33.52587 34.78309 36.04031 37.29753 38.55475 39.81197 41.06919 42.32641 43.58363 44.84086 46.09808 47.35530
sigma 1.8 75% 34.803767 36.891994 38.980220 41.06845 43.15667 45.24490 47.33312 49.42135 51.50958 53.59780 55.68603 57.77425 59.86248 61.95071 64.03893 66.12716 68.21538 70.30361 72.39184 74.48006 76.56829 78.65651

sigma 2.0 25%  9.252023  9.807144 10.362266 10.91739 11.47251 12.02763 12.58275 13.13787 13.69299 14.24812 14.80324 15.35836 15.91348 16.46860 17.02372 17.57884 18.13397 18.68909 19.24421 19.79933 20.35445 20.90957
sigma 2.0 50% 19.471695 20.639996 21.808298 22.97660 24.14490 25.31320 26.48150 27.64981 28.81811 29.98641 31.15471 32.32301 33.49131 34.65962 35.82792 36.99622 38.16452 39.33282 40.50113 41.66943 42.83773 44.00603
sigma 2.0 75% 32.632940 34.590916 36.548893 38.50687 40.46485 42.42282 44.38080 46.33877 48.29675 50.25473 52.21270 54.17068 56.12866 58.08663 60.04461 62.00259 63.96056 65.91854 67.87652 69.83449 71.79247 73.75044

sigma 2.1 25%  8.904525  9.438797  9.973069 10.50734 11.04161 11.57588 12.11015 12.64443 13.17870 13.71297 14.24724 14.78151 15.31578 15.85006 16.38433 16.91860 17.45287 17.98714 18.52141 19.05568 19.58996 20.12423
sigma 2.1 50% 18.762931 19.888706 21.014482 22.14026 23.26603 24.39181 25.51759 26.64336 27.76914 28.89491 30.02069 31.14646 32.27224 33.39802 34.52379 35.64957 36.77534 37.90112 39.02690 40.15267 41.27845 42.40422
sigma 2.1 75% 31.556166 33.449536 35.342906 37.23628 39.12965 41.02302 42.91639 44.80976 46.70313 48.59650 50.48987 52.38324 54.27661 56.16998 58.06334 59.95671 61.85008 63.74345 65.63682 67.53019 69.42356 71.31693

Without concealment module on slot 5 on the target:



                      5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.5 25% 10.634801 11.272889 11.910977 12.54906 13.18715 13.82524 14.46333 15.10142 15.73951 16.37759 17.01568 17.65377 18.29186 18.92995 19.56803 20.20612 20.84421 21.48230 22.12039 22.75847 23.39656 24.03465
sigma 1.5 50% 22.158939 23.488475 24.818012 26.14755 27.47708 28.80662 30.13616 31.46569 32.79523 34.12477 35.45430 36.78384 38.11338 39.44291 40.77245 42.10198 43.43152 44.76106 46.09059 47.42013 48.74967 50.07920
sigma 1.5 75% 36.141574 38.310069 40.478563 42.64706 44.81555 46.98405 49.15254 51.32104 53.48953 55.65802 57.82652 59.99501 62.16351 64.33200 66.50050 68.66899 70.83749 73.00598 75.17447 77.34297 79.51146 81.67996

sigma 1.7 25%  9.878763 10.471489 11.064214 11.65694 12.24967 12.84239 13.43512 14.02784 14.62057 15.21329 15.80602 16.39875 16.99147 17.58420 18.17692 18.76965 19.36238 19.95510 20.54783 21.14055 21.73328 22.32600
sigma 1.7 50% 20.684094 21.925140 23.166186 24.40723 25.64828 26.88932 28.13037 29.37141 30.61246 31.85351 33.09455 34.33560 35.57664 36.81769 38.05873 39.29978 40.54083 41.78187 43.02292 44.26396 45.50501 46.74605
sigma 1.7 75% 34.169097 36.219243 38.269389 40.31953 42.36968 44.41983 46.46997 48.52012 50.57026 52.62041 54.67056 56.72070 58.77085 60.82099 62.87114 64.92128 66.97143 69.02158 71.07172 73.12187 75.17201 77.22216

sigma 1.8 25%  9.512012 10.082733 10.653454 11.22417 11.79490 12.36562 12.93634 13.50706 14.07778 14.64850 15.21922 15.78994 16.36066 16.93138 17.50210 18.07282 18.64354 19.21426 19.78499 20.35571 20.92643 21.49715
sigma 1.8 50% 19.955877 21.153229 22.350582 23.54793 24.74529 25.94264 27.13999 28.33735 29.53470 30.73205 31.92940 33.12676 34.32411 35.52146 36.71881 37.91617 39.11352 40.31087 41.50822 42.70558 43.90293 45.10028
sigma 1.8 75% 33.146445 35.135232 37.124019 39.11281 41.10159 43.09038 45.07917 47.06795 49.05674 51.04553 53.03431 55.02310 57.01189 59.00067 60.98946 62.97825 64.96703 66.95582 68.94461 70.93339 72.92218 74.91097

sigma 2.0 25%  8.811451  9.340138  9.868825 10.39751 10.92620 11.45489 11.98357 12.51226 13.04095 13.56963 14.09832 14.62701 15.15569 15.68438 16.21307 16.74176 17.27044 17.79913 18.32782 18.85650 19.38519 19.91388
sigma 2.0 50% 18.544471 19.657139 20.769808 21.88248 22.99514 24.10781 25.22048 26.33315 27.44582 28.55849 29.67115 30.78382 31.89649 33.00916 34.12183 35.23450 36.34716 37.45983 38.57250 39.68517 40.79784 41.91050
sigma 2.0 75% 31.078991 32.943730 34.808469 36.67321 38.53795 40.40269 42.26743 44.13217 45.99691 47.86165 49.72638 51.59112 53.45586 55.32060 57.18534 59.05008 60.91482 62.77956 64.64430 66.50904 68.37378 70.23852

sigma 2.1 25%  8.480500  8.989330  9.498161 10.00699 10.51582 11.02465 11.53348 12.04231 12.55114 13.05997 13.56880 14.07763 14.58646 15.09529 15.60412 16.11295 16.62178 17.13061 17.63944 18.14827 18.65710 19.16593
sigma 2.1 50% 17.869458 18.941625 20.013793 21.08596 22.15813 23.23030 24.30246 25.37463 26.44680 27.51896 28.59113 29.66330 30.73547 31.80763 32.87980 33.95197 35.02414 36.09630 37.16847 38.24064 39.31281 40.38497
sigma 2.1 75% 30.053491 31.856701 33.659910 35.46312 37.26633 39.06954 40.87275 42.67596 44.47917 46.28238 48.08559 49.88880 51.69200 53.49521 55.29842 57.10163 58.90484 60.70805 62.51126 64.31447 66.11768 67.92089

 

British and German BB line:

Spoiler

With concealment module on slot 5 on the target:



                      5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.6 25%  9.869348 10.766562 11.66378 12.56099 13.45820 14.35542 15.25263 16.14984 17.04706 17.94427 18.84148 19.73870 20.63591 21.53312 22.43034 23.32755 24.22476 25.12198 26.01919 26.91640 27.81362 28.71083
sigma 1.6 50% 20.617208 22.491500 24.36579 26.24008 28.11437 29.98867 31.86296 33.73725 35.61154 37.48583 39.36012 41.23442 43.10871 44.98300 46.85729 48.73158 50.60587 52.48017 54.35446 56.22875 58.10304 59.97733
sigma 1.6 75% 33.851904 36.929349 40.00680 43.08424 46.16169 49.23913 52.31658 55.39402 58.47147 61.54892 64.62636 67.70381 70.78125 73.85870 76.93614 80.01359 83.09104 86.16848 89.24593 92.32337 95.40082 98.47827

sigma 1.8 25%  9.155312  9.987613 10.81991 11.65221 12.48452 13.31682 14.14912 14.98142 15.81372 16.64602 17.47832 18.31062 19.14292 19.97523 20.80753 21.63983 22.47213 23.30443 24.13673 24.96903 25.80133 26.63363
sigma 1.8 50% 19.207531 20.953671 22.69981 24.44595 26.19209 27.93823 29.68437 31.43051 33.17665 34.92278 36.66892 38.41506 40.16120 41.90734 43.65348 45.39962 47.14576 48.89190 50.63804 52.38418 54.13032 55.87646
sigma 1.8 75% 31.903454 34.803767 37.70408 40.60440 43.50471 46.40502 49.30534 52.20565 55.10597 58.00628 60.90659 63.80691 66.70722 69.60753 72.50785 75.40816 78.30848 81.20879 84.10910 87.00942 89.90973 92.81005

sigma 1.9 25%  8.812356  9.613480 10.41460 11.21573 12.01685 12.81797 13.61910 14.42022 15.22134 16.02247 16.82359 17.62471 18.42584 19.22696 20.02808 20.82921 21.63033 22.43145 23.23258 24.03370 24.83482 25.63595
sigma 1.9 50% 18.519620 20.203222 21.88682 23.57043 25.25403 26.93763 28.62123 30.30483 31.98843 33.67204 35.35564 37.03924 38.72284 40.40644 42.09005 43.77365 45.45725 47.14085 48.82445 50.50805 52.19166 53.87526
sigma 1.9 75% 30.908841 33.718735 36.52863 39.33852 42.14842 44.95831 47.76821 50.57810 53.38800 56.19789 59.00779 61.81768 64.62758 67.43747 70.24737 73.05726 75.86715 78.67705 81.48694 84.29684 87.10673 89.91663

sigma 2.0 25%  8.481021  9.252023 10.02303 10.79403 11.56503 12.33603 13.10703 13.87803 14.64904 15.42004 16.19104 16.96204 17.73304 18.50405 19.27505 20.04605 20.81705 21.58805 22.35906 23.13006 23.90106 24.67206
sigma 2.0 50% 17.849054 19.471695 21.09434 22.71698 24.33962 25.96226 27.58490 29.20754 30.83018 32.45282 34.07547 35.69811 37.32075 38.94339 40.56603 42.18867 43.81131 45.43395 47.05660 48.67924 50.30188 51.92452
sigma 2.0 75% 29.913528 32.632940 35.35235 38.07176 40.79118 43.51059 46.23000 48.94941 51.66882 54.38823 57.10765 59.82706 62.54647 65.26588 67.98529 70.70470 73.42412 76.14353 78.86294 81.58235 84.30176 87.02117

Without concealment module on slot 5 on the target:



                      5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.6 25%  9.399379 10.253868 11.108357 11.96285 12.81734 13.67182 14.52631 15.38080 16.23529 17.08978 17.94427 18.79876 19.65325 20.50774 21.36223 22.21671 23.07120 23.92569 24.78018 25.63467 26.48916 27.34365
sigma 1.6 50% 19.635436 21.420476 23.205516 24.99056 26.77560 28.56063 30.34567 32.13071 33.91575 35.70079 37.48583 39.27087 41.05591 42.84095 44.62599 46.41103 48.19607 49.98111 51.76615 53.55119 55.33623 57.12127
sigma 1.6 75% 32.239908 35.170809 38.101710 41.03261 43.96351 46.89441 49.82531 52.75621 55.68711 58.61801 61.54892 64.47982 67.41072 70.34162 73.27252 76.20342 79.13432 82.06522 84.99612 87.92702 90.85792 93.78882

sigma 1.8 25%  8.719344  9.512012 10.304680 11.09735 11.89002 12.68268 13.47535 14.26802 15.06069 15.85335 16.64602 17.43869 18.23136 19.02402 19.81669 20.60936 21.40203 22.19469 22.98736 23.78003 24.57270 25.36537
sigma 1.8 50% 18.292887 19.955877 21.618867 23.28186 24.94485 26.60784 28.27083 29.93382 31.59680 33.25979 34.92278 36.58577 38.24876 39.91175 41.57474 43.23773 44.90072 46.56371 48.22670 49.88969 51.55268 53.21567
sigma 1.8 75% 30.384241 33.146445 35.908649 38.67085 41.43306 44.19526 46.95746 49.71967 52.48187 55.24408 58.00628 60.76848 63.53069 66.29289 69.05509 71.81730 74.57950 77.34171 80.10391 82.86611 85.62832 88.39052

sigma 1.9 25%  8.392720  9.155695  9.918670 10.68164 11.44462 12.20759 12.97057 13.73354 14.49652 15.25949 16.02247 16.78544 17.54842 18.31139 19.07436 19.83734 20.60031 21.36329 22.12626 22.88924 23.65221 24.41519
sigma 1.9 50% 17.637733 19.241164 20.844594 22.44802 24.05145 25.65488 27.25832 28.86175 30.46518 32.06861 33.67204 35.27547 36.87890 38.48233 40.08576 41.68919 43.29262 44.89605 46.49948 48.10291 49.70634 51.30977
sigma 1.9 75% 29.436991 32.113081 34.789171 37.46526 40.14135 42.81744 45.49353 48.16962 50.84571 53.52180 56.19789 58.87398 61.55007 64.22616 66.90225 69.57834 72.25443 74.93052 77.60661 80.28270 82.95879 85.63488

sigma 2.0 25%  8.077163  8.811451  9.545738 10.28003 11.01431 11.74860 12.48289 13.21718 13.95146 14.68575 15.42004 16.15433 16.88861 17.62290 18.35719 19.09148 19.82576 20.56005 21.29434 22.02863 22.76291 23.49720
sigma 2.0 50% 16.999099 18.544471 20.089844 21.63522 23.18059 24.72596 26.27133 27.81671 29.36208 30.90745 32.45282 33.99820 35.54357 37.08894 38.63432 40.17969 41.72506 43.27043 44.81581 46.36118 47.90655 49.45192
sigma 2.0 75% 28.489075 31.078991 33.668906 36.25882 38.84874 41.43865 44.02857 46.61849 49.20840 51.79832 54.38823 56.97815 59.56807 62.15798 64.74790 67.33781 69.92773 72.51764 75.10756 77.69748 80.28739 82.87731

 

American BB line:

Spoiler

With concealment module on slot 5 on the target and artillery module on slot 6:



                      5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.5 25%  9.795738 10.686259 11.576781 12.46730 13.35782 14.24835 15.13887 16.02939 16.91991 17.81043 18.70095 19.59148 20.48200 21.37252 22.26304 23.15356 24.04408 24.93461 25.82513 26.71565 27.60617 28.49669
sigma 1.5 50% 20.410647 22.266160 24.121673 25.97719 27.83270 29.68821 31.54373 33.39924 35.25475 37.11027 38.96578 40.82129 42.67681 44.53232 46.38783 48.24335 50.09886 51.95437 53.80989 55.66540 57.52091 59.37643
sigma 1.5 75% 33.290082 36.316453 39.342824 42.36920 45.39557 48.42194 51.44831 54.47468 57.50105 60.52742 63.55379 66.58016 69.60654 72.63291 75.65928 78.68565 81.71202 84.73839 87.76476 90.79113 93.81750 96.84387

sigma 1.7 25%  9.099350  9.926563 10.753777 11.58099 12.40820 13.23542 14.06263 14.88984 15.71706 16.54427 17.37149 18.19870 19.02591 19.85313 20.68034 21.50755 22.33477 23.16198 23.98919 24.81641 25.64362 26.47084
sigma 1.7 50% 19.052164 20.784179 22.516194 24.24821 25.98022 27.71224 29.44425 31.17627 32.90828 34.64030 36.37231 38.10433 39.83634 41.56836 43.30037 45.03239 46.76440 48.49642 50.22843 51.96045 53.69246 55.42448
sigma 1.7 75% 31.473229 34.334431 37.195634 40.05684 42.91804 45.77924 48.64044 51.50165 54.36285 57.22405 60.08525 62.94646 65.80766 68.66886 71.53007 74.39127 77.25247 80.11367 82.97488 85.83608 88.69728 91.55848

sigma 1.8 25%  8.761535  9.558038 10.354541 11.15104 11.94755 12.74405 13.54055 14.33706 15.13356 15.93006 16.72657 17.52307 18.31957 19.11608 19.91258 20.70908 21.50559 22.30209 23.09859 23.89509 24.69160 25.48810
sigma 1.8 50% 18.381401 20.052437 21.723474 23.39451 25.06555 26.73658 28.40762 30.07866 31.74969 33.42073 35.09177 36.76280 38.43384 40.10487 41.77591 43.44695 45.11798 46.78902 48.46006 50.13109 51.80213 53.47317
sigma 1.8 75% 30.531262 33.306831 36.082400 38.85797 41.63354 44.40911 47.18468 49.96025 52.73582 55.51139 58.28695 61.06252 63.83809 66.61366 69.38923 72.16480 74.94037 77.71594 80.49151 83.26708 86.04265 88.81822

sigma 1.9 25%  8.433330  9.199997  9.966663 10.73333 11.50000 12.26666 13.03333 13.80000 14.56666 15.33333 16.09999 16.86666 17.63333 18.39999 19.16666 19.93333 20.69999 21.46666 22.23333 22.99999 23.76666 24.53332
sigma 1.9 50% 17.723077 19.334266 20.945455 22.55664 24.16783 25.77902 27.39021 29.00140 30.61259 32.22378 33.83497 35.44615 37.05734 38.66853 40.27972 41.89091 43.50210 45.11329 46.72448 48.33567 49.94685 51.55804
sigma 1.9 75% 29.579428 32.268467 34.957506 37.64655 40.33558 43.02462 45.71366 48.40270 51.09174 53.78078 56.46982 59.15886 61.84790 64.53693 67.22597 69.91501 72.60405 75.29309 77.98213 80.67117 83.36021 86.04925

sigma 2.0 25%  8.116246  8.854087  9.591927 10.32977 11.06761 11.80545 12.54329 13.28113 14.01897 14.75681 15.49465 16.23249 16.97033 17.70817 18.44601 19.18385 19.92169 20.65954 21.39738 22.13522 22.87306 23.61090
sigma 2.0 50% 17.081352 18.634203 20.187053 21.73990 23.29275 24.84560 26.39845 27.95130 29.50415 31.05700 32.60985 34.16270 35.71555 37.26841 38.82126 40.37411 41.92696 43.47981 45.03266 46.58551 48.13836 49.69121
sigma 2.0 75% 28.626925 31.229373 33.831820 36.43427 39.03672 41.63916 44.24161 46.84406 49.44651 52.04895 54.65140 57.25385 59.85630 62.45875 65.06119 67.66364 70.26609 72.86854 75.47098 78.07343 80.67588 83.27833

With concealment module on slot 5 on the target, but no artillery module on slot 6:



                      5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23        24        25        26
sigma 1.5 25% 11.006447 12.007033 13.00762 14.00821 15.00879 16.00938 17.00996 18.01055 19.01114 20.01172 21.01231 22.01289 23.01348 24.01407 25.01465 26.01524 27.01582 28.01641 29.01700  30.01758  31.01817  32.01876
sigma 1.5 50% 22.933311 25.018157 27.10300 29.18785 31.27270 33.35754 35.44239 37.52724 39.61208 41.69693 43.78177 45.86662 47.95147 50.03631 52.12116 54.20601 56.29085 58.37570 60.46055  62.54539  64.63024  66.71509
sigma 1.5 75% 37.404587 40.805003 44.20542 47.60584 51.00625 54.40667 57.80709 61.20751 64.60792 68.00834 71.40876 74.80917 78.20959 81.61001 85.01042 88.41084 91.81126 95.21167 98.61209 102.01251 105.41293 108.81334

sigma 1.7 25% 10.223988 11.153442 12.08290 13.01235 13.94180 14.87126 15.80071 16.73016 17.65962 18.58907 19.51852 20.44798 21.37743 22.30688 23.23634 24.16579 25.09524 26.02470 26.95415  27.88360  28.81306  29.74251
sigma 1.7 50% 21.406926 23.353010 25.29909 27.24518 29.19126 31.13735 33.08343 35.02951 36.97560 38.92168 40.86777 42.81385 44.75994 46.70602 48.65210 50.59819 52.54427 54.49036 56.43644  58.38252  60.32861  62.27469
sigma 1.7 75% 35.363178 38.578013 41.79285 45.00768 48.22252 51.43735 54.65218 57.86702 61.08185 64.29669 67.51152 70.72636 73.94119 77.15603 80.37086 83.58569 86.80053 90.01536 93.23020  96.44503  99.65987 102.87470

sigma 1.8 25%  9.844421 10.739369 11.63432 12.52926 13.42421 14.31916 15.21411 16.10905 17.00400 17.89895 18.79389 19.68884 20.58379 21.47874 22.37368 23.26863 24.16358 25.05853 25.95347  26.84842  27.74337  28.63832
sigma 1.8 50% 20.653260 22.530829 24.40840 26.28597 28.16354 30.04110 31.91867 33.79624 35.67381 37.55138 39.42895 41.30652 43.18409 45.06166 46.93923 48.81680 50.69436 52.57193 54.44950  56.32707  58.20464  60.08221
sigma 1.8 75% 34.304789 37.423406 40.54202 43.66064 46.77926 49.89787 53.01649 56.13511 59.25373 62.37234 65.49096 68.60958 71.72819 74.84681 77.96543 81.08405 84.20266 87.32128 90.43990  93.55851  96.67713  99.79575

sigma 1.9 25%  9.475652 10.337075 11.19850 12.05992 12.92134 13.78277 14.64419 15.50561 16.36704 17.22846 18.08988 18.95130 19.81273 20.67415 21.53557 22.39700 23.25842 24.11984 24.98126  25.84269  26.70411  27.56553
sigma 1.9 50% 19.913570 21.723894 23.53422 25.34454 27.15487 28.96519 30.77552 32.58584 34.39617 36.20649 38.01682 39.82714 41.63746 43.44779 45.25811 47.06844 48.87876 50.68909 52.49941  54.30974  56.12006  57.93039
sigma 1.9 75% 33.235313 36.256705 39.27810 42.29949 45.32088 48.34227 51.36366 54.38506 57.40645 60.42784 63.44923 66.47063 69.49202 72.51341 75.53480 78.55619 81.57759 84.59898 87.62037  90.64176  93.66315  96.68455

sigma 2.0 25%  9.119378  9.948412 10.77745 11.60648 12.43551 13.26455 14.09358 14.92262 15.75165 16.58069 17.40972 18.23876 19.06779 19.89682 20.72586 21.55489 22.38393 23.21296 24.04200  24.87103  25.70006  26.52910
sigma 2.0 50% 19.192531 20.937306 22.68208 24.42686 26.17163 27.91641 29.66118 31.40596 33.15073 34.89551 36.64029 38.38506 40.12984 41.87461 43.61939 45.36416 47.10894 48.85371 50.59849  52.34327  54.08804  55.83282
sigma 2.0 75% 32.165084 35.089183 38.01328 40.93738 43.86148 46.78558 49.70968 52.63377 55.55787 58.48197 61.40607 64.33017 67.25427 70.17837 73.10246 76.02656 78.95066 81.87476 84.79886  87.72296  90.64706  93.57115

Without concealment module on slot 5 on the target, but with artillery module on slot 6:



                      5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.5 25%  9.329274 10.177390 11.025506 11.873622 12.72174 13.56985 14.41797 15.26608 16.11420 16.96232 17.81043 18.65855 19.50666 20.35478 21.20290 22.05101 22.89913 23.74724 24.59536 25.44347 26.29159 27.13971
sigma 1.5 50% 19.438711 21.205866 22.973022 24.740178 26.50733 28.27449 30.04164 31.80880 33.57596 35.34311 37.11027 38.87742 40.64458 42.41173 44.17889 45.94604 47.71320 49.48036 51.24751 53.01467 54.78182 56.54898
sigma 1.5 75% 31.704840 34.587098 37.469356 40.351615 43.23387 46.11613 48.99839 51.88065 54.76291 57.64516 60.52742 63.40968 66.29194 69.17420 72.05645 74.93871 77.82097 80.70323 83.58549 86.46775 89.35000 92.23226

sigma 1.7 25%  8.666047  9.453870 10.241692 11.029515 11.81734 12.60516 13.39298 14.18080 14.96863 15.75645 16.54427 17.33209 18.11992 18.90774 19.69556 20.48338 21.27121 22.05903 22.84685 23.63467 24.42250 25.21032
sigma 1.7 50% 18.144918 19.794456 21.443994 23.093532 24.74307 26.39261 28.04215 29.69168 31.34122 32.99076 34.64030 36.28984 37.93937 39.58891 41.23845 42.88799 44.53753 46.18706 47.83660 49.48614 51.13568 52.78522
sigma 1.7 75% 29.974504 32.699458 35.424413 38.149368 40.87432 43.59928 46.32423 49.04919 51.77414 54.49910 57.22405 59.94901 62.67396 65.39892 68.12387 70.84883 73.57378 76.29874 79.02369 81.74865 84.47360 87.19856

sigma 1.8 25%  8.344319  9.102893  9.861468 10.620042 11.37862 12.13719 12.89577 13.65434 14.41291 15.17149 15.93006 16.68864 17.44721 18.20579 18.96436 19.72294 20.48151 21.24008 21.99866 22.75723 23.51581 24.27438
sigma 1.8 50% 17.506096 19.097560 20.689023 22.280486 23.87195 25.46341 27.05488 28.64634 30.23780 31.82927 33.42073 35.01219 36.60366 38.19512 39.78658 41.37805 42.96951 44.56097 46.15244 47.74390 49.33536 50.92683
sigma 1.8 75% 29.077392 31.720792 34.364191 37.007590 39.65099 42.29439 44.93779 47.58119 50.22459 52.86799 55.51139 58.15478 60.79818 63.44158 66.08498 68.72838 71.37178 74.01518 76.65858 79.30198 81.94538 84.58878

sigma 1.9 25%  8.031743  8.761902  9.492060 10.222219 10.95238 11.68254 12.41269 13.14285 13.87301 14.60317 15.33333 16.06349 16.79364 17.52380 18.25396 18.98412 19.71428 20.44444 21.17460 21.90475 22.63491 23.36507
sigma 1.9 50% 16.879121 18.413587 19.948052 21.482518 23.01698 24.55145 26.08591 27.62038 29.15485 30.68931 32.22378 33.75824 35.29271 36.82717 38.36164 39.89610 41.43057 42.96504 44.49950 46.03397 47.56843 49.10290
sigma 1.9 75% 28.170884 30.731873 33.292863 35.853852 38.41484 40.97583 43.53682 46.09781 48.65880 51.21979 53.78078 56.34177 58.90276 61.46375 64.02474 66.58573 69.14672 71.70770 74.26869 76.82968 79.39067 81.95166

sigma 2.0 25%  7.729758  8.432463  9.135169  9.837874 10.54058 11.24328 11.94599 12.64870 13.35140 14.05411 14.75681 15.45952 16.16222 16.86493 17.56763 18.27034 18.97304 19.67575 20.37845 21.08116 21.78386 22.48657
sigma 2.0 50% 16.267955 17.746860 19.225765 20.704669 22.18357 23.66248 25.14138 26.62029 28.09919 29.57810 31.05700 32.53591 34.01481 35.49372 36.97262 38.45153 39.93043 41.40934 42.88824 44.36715 45.84605 47.32496
sigma 2.0 75% 27.263738 29.742260 32.220781 34.699303 37.17782 39.65635 42.13487 44.61339 47.09191 49.57043 52.04895 54.52748 57.00600 59.48452 61.96304 64.44156 66.92008 69.39861 71.87713 74.35565 76.83417 79.31269

Without concealment module on slot 5 on the target and no artillery module on slot 6:



                      5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24        25        26
sigma 1.5 25% 10.482331 11.435270 12.38821 13.34115 14.29409 15.24703 16.19997 17.15290 18.10584 19.05878 20.01172 20.96466 21.91760 22.87054 23.82348 24.77642 25.72936 26.68230 27.63524 28.58817  29.54111  30.49405
sigma 1.5 50% 21.841248 23.826816 25.81238 27.79795 29.78352 31.76909 33.75466 35.74022 37.72579 39.71136 41.69693 43.68250 45.66806 47.65363 49.63920 51.62477 53.61034 55.59590 57.58147 59.56704  61.55261  63.53818
sigma 1.5 75% 35.623416 38.861908 42.10040 45.33889 48.57739 51.81588 55.05437 58.29286 61.53135 64.76985 68.00834 71.24683 74.48532 77.72382 80.96231 84.20080 87.43929 90.67779 93.91628 97.15477 100.39326 103.63175

sigma 1.7 25%  9.737132 10.622326 11.50752 12.39271 13.27791 14.16310 15.04829 15.93349 16.81868 17.70388 18.58907 19.47426 20.35946 21.24465 22.12985 23.01504 23.90023 24.78543 25.67062 26.55581  27.44101  28.32620
sigma 1.7 50% 20.387548 22.240962 24.09438 25.94779 27.80120 29.65462 31.50803 33.36144 35.21486 37.06827 38.92168 40.77510 42.62851 44.48192 46.33534 48.18875 50.04216 51.89558 53.74899 55.60240  57.45582  59.30923
sigma 1.7 75% 33.679218 36.740965 39.80271 42.86446 45.92621 48.98795 52.04970 55.11145 58.17319 61.23494 64.29669 67.35844 70.42018 73.48193 76.54368 79.60542 82.66717 85.72892 88.79066 91.85241  94.91416  97.97591

sigma 1.8 25%  9.375639 10.227970 11.08030 11.93263 12.78496 13.63729 14.48962 15.34196 16.19429 17.04662 17.89895 18.75128 19.60361 20.45594 21.30827 22.16060 23.01293 23.86526 24.71759 25.56993  26.42226  27.27459
sigma 1.8 50% 19.669771 21.457932 23.24609 25.03425 26.82242 28.61058 30.39874 32.18690 33.97506 35.76322 37.55138 39.33954 41.12770 42.91586 44.70403 46.49219 48.28035 50.06851 51.85667 53.64483  55.43299  57.22115
sigma 1.8 75% 32.671227 35.641339 38.61145 41.58156 44.55167 47.52179 50.49190 53.46201 56.43212 59.40223 62.37234 65.34245 68.31257 71.28268 74.25279 77.22290 80.19301 83.16312 86.13324 89.10335  92.07346  95.04357

sigma 1.9 25%  9.024431  9.844833 10.66524 11.48564 12.30604 13.12644 13.94685 14.76725 15.58765 16.40806 17.22846 18.04886 18.86926 19.68967 20.51007 21.33047 22.15088 22.97128 23.79168 24.61208  25.43249  26.25289
sigma 1.9 50% 18.965305 20.689423 22.41354 24.13766 25.86178 27.58590 29.31002 31.03413 32.75825 34.48237 36.20649 37.93061 39.65473 41.37885 43.10297 44.82708 46.55120 48.27532 49.99944 51.72356  53.44768  55.17180
sigma 1.9 75% 31.652679 34.530195 37.40771 40.28523 43.16274 46.04026 48.91778 51.79529 54.67281 57.55032 60.42784 63.30536 66.18287 69.06039 71.93791 74.81542 77.69294 80.57045 83.44797 86.32549  89.20300  92.08052

sigma 2.0 25%  8.685122  9.474678 10.26423 11.05379 11.84335 12.63290 13.42246 14.21202 15.00157 15.79113 16.58069 17.37024 18.15980 18.94936 19.73891 20.52847 21.31803 22.10758 22.89714 23.68670  24.47625  25.26581
sigma 2.0 50% 18.278601 19.940292 21.60198 23.26367 24.92536 26.58706 28.24875 29.91044 31.57213 33.23382 34.89551 36.55720 38.21889 39.88058 41.54227 43.20397 44.86566 46.52735 48.18904 49.85073  51.51242  53.17411
sigma 2.0 75% 30.633414 33.418269 36.20313 38.98798 41.77284 44.55769 47.34255 50.12740 52.91226 55.69712 58.48197 61.26683 64.05168 66.83654 69.62139 72.40625 75.19111 77.97596 80.76082 83.54567  86.33053  89.11538

 

French and Italian BBs:

Spoiler

With concealment module on slot 5 on the target:



                      5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25        26
sigma 1.5 25% 10.701268 11.613202 12.52514 13.43707 14.34900 15.26094 16.17287 17.08481 17.99674 18.90868 19.82061 20.73254 21.64448 22.55641 23.46835 24.38028 25.29221 26.20415 27.11608 28.02802 28.93995  29.85189
sigma 1.5 50% 22.297433 24.197562 26.09769 27.99782 29.89795 31.79808 33.69821 35.59834 37.49846 39.39859 41.29872 43.19885 45.09898 46.99911 48.89924 50.79937 52.69950 54.59963 56.49976 58.39988 60.30001  62.20014
sigma 1.5 75% 36.367459 39.466599 42.56574 45.66488 48.76402 51.86316 54.96230 58.06144 61.16058 64.25972 67.35886 70.45800 73.55714 76.65628 79.75542 82.85456 85.95370 89.05284 92.15198 95.25112 98.35026 101.44940

sigma 1.6 25% 10.317955 11.197224 12.07649 12.95576 13.83503 14.71430 15.59357 16.47284 17.35211 18.23138 19.11065 19.98992 20.86919 21.74845 22.62772 23.50699 24.38626 25.26553 26.14480 27.02407 27.90334  28.78261
sigma 1.6 50% 21.554354 23.391160 25.22797 27.06477 28.90158 30.73838 32.57519 34.41199 36.24880 38.08561 39.92241 41.75922 43.59602 45.43283 47.26964 49.10644 50.94325 52.78005 54.61686 56.45366 58.29047  60.12728
sigma 1.6 75% 35.390627 38.406523 41.42242 44.43832 47.45421 50.47011 53.48601 56.50190 59.51780 62.53370 65.54960 68.56549 71.58139 74.59729 77.61318 80.62908 83.64498 86.66087 89.67677 92.69267 95.70856  98.72446

sigma 1.7 25%  9.940505 10.787609 11.63471 12.48182 13.32892 14.17602 15.02313 15.87023 16.71734 17.56444 18.41154 19.25865 20.10575 20.95286 21.79996 22.64706 23.49417 24.34127 25.18838 26.03548 26.88258  27.72969
sigma 1.7 50% 20.813370 22.587031 24.36069 26.13435 27.90801 29.68168 31.45534 33.22900 35.00266 36.77632 38.54998 40.32364 42.09730 43.87096 45.64463 47.41829 49.19195 50.96561 52.73927 54.51293 56.28659  58.06025
sigma 1.7 75% 34.382654 37.312654 40.24265 43.17265 46.10265 49.03265 51.96265 54.89265 57.82265 60.75265 63.68265 66.61265 69.54265 72.47265 75.40265 78.33266 81.26266 84.19266 87.12266 90.05266 92.98266  95.91266

sigma 1.8 25%  9.571462 10.387117 11.20277 12.01843 12.83408 13.64974 14.46539 15.28105 16.09670 16.91236 17.72801 18.54367 19.35932 20.17498 20.99063 21.80629 22.62194 23.43760 24.25325 25.06891 25.88456  26.70022
sigma 1.8 50% 20.080601 21.791817 23.50303 25.21425 26.92547 28.63668 30.34790 32.05912 33.77033 35.48155 37.19277 38.90398 40.61520 42.32641 44.03763 45.74885 47.46006 49.17128 50.88250 52.59371 54.30493  56.01615
sigma 1.8 75% 33.353610 36.195918 39.03823 41.88053 44.72284 47.56515 50.40746 53.24976 56.09207 58.93438 61.77669 64.61899 67.46130 70.30361 73.14592 75.98823 78.83053 81.67284 84.51515 87.35746 90.19976  93.04207

sigma 1.9 25%  9.212918  9.998019 10.78312 11.56822 12.35332 13.13842 13.92352 14.70862 15.49372 16.27883 17.06393 17.84903 18.63413 19.41923 20.20433 20.98943 21.77453 22.55963 23.34473 24.12983 24.91494  25.70004
sigma 1.9 50% 19.361421 21.011351 22.66128 24.31121 25.96114 27.61107 29.26100 30.91093 32.56086 34.21079 35.86072 37.51065 39.16058 40.81051 42.46044 44.11037 45.76030 47.41023 49.06016 50.71009 52.36002  54.00995
sigma 1.9 75% 32.313788 35.067485 37.82118 40.57488 43.32857 46.08227 48.83597 51.58967 54.34336 57.09706 59.85076 62.60445 65.35815 68.11185 70.86554 73.61924 76.37294 79.12663 81.88033 84.63403 87.38772  90.14142

sigma 2.0 25%  8.866522  9.622104 10.37769 11.13327 11.88885 12.64443 13.40001 14.15560 14.91118 15.66676 16.42234 17.17792 17.93350 18.68909 19.44467 20.20025 20.95583 21.71141 22.46700 23.22258 23.97816  24.73374
sigma 2.0 50% 18.660374 20.250563 21.84075 23.43094 25.02113 26.61132 28.20150 29.79169 31.38188 32.97207 34.56226 36.15245 37.74264 39.33282 40.92301 42.51320 44.10339 45.69358 47.28377 48.87395 50.46414  52.05433
sigma 2.0 75% 31.273234 33.938258 36.60328 39.26830 41.93333 44.59835 47.26337 49.92840 52.59342 55.25845 57.92347 60.58849 63.25352 65.91854 68.58356 71.24859 73.91361 76.57863 79.24366 81.90868 84.57370  87.23873

Without concealment module slot 5 on the target:



                      5         6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
sigma 1.5 25% 10.191684 11.060193 11.92870 12.79721 13.66572 14.53423 15.40274 16.27125 17.13975 18.00826 18.87677 19.74528 20.61379 21.48230 22.35081 23.21932 24.08782 24.95633 25.82484 26.69335 27.56186 28.43037
sigma 1.5 50% 21.235650 23.045297 24.85494 26.66459 28.47424 30.28388 32.09353 33.90318 35.71282 37.52247 39.33212 41.14176 42.95141 44.76106 46.57070 48.38035 50.19000 51.99964 53.80929 55.61894 57.42858 59.23823
sigma 1.5 75% 34.635676 37.587237 40.53880 43.49036 46.44192 49.39349 52.34505 55.29661 58.24817 61.19973 64.15129 67.10286 70.05442 73.00598 75.95754 78.90910 81.86067 84.81223 87.76379 90.71535 93.66691 96.61848

sigma 1.6 25%  9.826624 10.664023 11.50142 12.33882 13.17622 14.01362 14.85102 15.68842 16.52582 17.36322 18.20062 19.03802 19.87541 20.71281 21.55021 22.38761 23.22501 24.06241 24.89981 25.73721 26.57461 27.41201
sigma 1.6 50% 20.527956 22.277295 24.02663 25.77597 27.52531 29.27465 31.02399 32.77333 34.52267 36.27201 38.02135 39.77068 41.52002 43.26936 45.01870 46.76804 48.51738 50.26672 52.01606 53.76539 55.51473 57.26407
sigma 1.6 75% 33.705359 36.577641 39.44992 42.32221 45.19449 48.06677 50.93906 53.81134 56.68362 59.55590 62.42819 65.30047 68.17275 71.04503 73.91732 76.78960 79.66188 82.53417 85.40645 88.27873 91.15101 94.02330

sigma 1.7 25%  9.467148 10.273913 11.08068 11.88744 12.69421 13.50098 14.30774 15.11451 15.92127 16.72804 17.53480 18.34157 19.14834 19.95510 20.76187 21.56863 22.37540 23.18216 23.98893 24.79569 25.60246 26.40923
sigma 1.7 50% 19.822257 21.511458 23.20066 24.88986 26.57906 28.26826 29.95746 31.64666 33.33587 35.02507 36.71427 38.40347 40.09267 41.78187 43.47107 45.16027 46.84947 48.53867 50.22788 51.91708 53.60628 55.29548
sigma 1.7 75% 32.745385 35.535861 38.32634 41.11681 43.90729 46.69777 49.48824 52.27872 55.06919 57.85967 60.65015 63.44062 66.23110 69.02158 71.81205 74.60253 77.39300 80.18348 82.97396 85.76443 88.55491 91.34539

sigma 1.8 25%  9.115678  9.892493 10.66931 11.44612 12.22294 12.99975 13.77656 14.55338 15.33019 16.10701 16.88382 17.66064 18.43745 19.21426 19.99108 20.76789 21.54471 22.32152 23.09834 23.87515 24.65196 25.42878
sigma 1.8 50% 19.124382 20.754112 22.38384 24.01357 25.64330 27.27303 28.90276 30.53249 32.16222 33.79195 35.42168 37.05141 38.68114 40.31087 41.94060 43.57033 45.20006 46.82979 48.45952 50.08925 51.71898 53.34871
sigma 1.8 75% 31.765343 34.472303 37.17926 39.88622 42.59318 45.30014 48.00710 50.71406 53.42102 56.12798 58.83494 61.54190 64.24886 66.95582 69.66278 72.36974 75.07670 77.78366 80.49062 83.19758 85.90454 88.61150

sigma 1.9 25%  8.774208  9.521923 10.26964 11.01735 11.76507 12.51278 13.26050 14.00821 14.75593 15.50364 16.25136 16.99907 17.74679 18.49450 19.24222 19.98993 20.73765 21.48536 22.23308 22.98079 23.72851 24.47622
sigma 1.9 50% 18.439448 20.010810 21.58217 23.15353 24.72490 26.29626 27.86762 29.43898 31.01034 32.58170 34.15307 35.72443 37.29579 38.86715 40.43851 42.00987 43.58124 45.15260 46.72396 48.29532 49.86668 51.43804
sigma 1.9 75% 30.775036 33.397605 36.02017 38.64274 41.26531 43.88788 46.51045 49.13301 51.75558 54.37815 57.00072 59.62329 62.24586 64.86842 67.49099 70.11356 72.73613 75.35870 77.98127 80.60383 83.22640 85.84897

sigma 2.0 25%  8.444307  9.163909  9.88351 10.60311 11.32271 12.04232 12.76192 13.48152 14.20112 14.92072 15.64032 16.35993 17.07953 17.79913 18.51873 19.23833 19.95794 20.67754 21.39714 22.11674 22.83634 23.55594
sigma 2.0 50% 17.771785 19.286250 20.80072 22.31518 23.82965 25.34411 26.85858 28.37304 29.88751 31.40197 32.91644 34.43090 35.94537 37.45983 38.97430 40.48876 42.00323 43.51769 45.03216 46.54662 48.06109 49.57555
sigma 2.0 75% 29.784033 32.322150 34.86027 37.39839 39.93650 42.47462 45.01274 47.55086 50.08897 52.62709 55.16521 57.70333 60.24144 62.77956 65.31768 67.85580 70.39391 72.93203 75.47015 78.00827 80.54638 83.08450

 

Russian BB line (note that Oktyabraskaya Revolutsiya uses USN BB formula):

Spoiler

With concealment module on slot 5 on the target:



                      5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23        24        25        26
sigma 1.4 25%  9.062792 10.200462 11.338132 12.475801 13.61347 14.75114 15.88881 17.02648 18.16415 19.30182 20.43949 21.57716 22.71483 23.85250 24.99017 26.12784 27.26551 28.40318 29.54085  30.67852  31.81619  32.95386
sigma 1.4 50% 18.829317 21.192998 23.556678 25.920358 28.28404 30.64772 33.01140 35.37508 37.73876 40.10244 42.46612 44.82980 47.19348 49.55716 51.92084 54.28452 56.64820 59.01188 61.37556  63.73924  66.10292  68.46660
sigma 1.4 75% 30.491769 34.319459 38.147149 41.974839 45.80253 49.63022 53.45791 57.28560 61.11329 64.94098 68.76867 72.59636 76.42405 80.25174 84.07943 87.90712 91.73481 95.56250 99.39019 103.21788 107.04557 110.87326

sigma 1.5 25%  8.747124  9.845167 10.943210 12.041253 13.13930 14.23734 15.33538 16.43343 17.53147 18.62951 19.72756 20.82560 21.92364 23.02168 24.11973 25.21777 26.31581 27.41386 28.51190  29.60994  30.70799  31.80603
sigma 1.5 50% 18.225727 20.513638 22.801548 25.089459 27.37737 29.66528 31.95319 34.24110 36.52901 38.81692 41.10483 43.39274 45.68065 47.96856 50.25647 52.54438 54.83229 57.12021 59.40812  61.69603  63.98394  66.27185
sigma 1.5 75% 29.726445 33.458063 37.189680 40.921298 44.65292 48.38453 52.11615 55.84777 59.57939 63.31100 67.04262 70.77424 74.50586 78.23747 81.96909 85.70071 89.43233 93.16394 96.89556 100.62718 104.35880 108.09041

sigma 1.7 25%  8.125282  9.145265 10.165247 11.185229 12.20521 13.22519 14.24518 15.26516 16.28514 17.30512 18.32511 19.34509 20.36507 21.38505 22.40503 23.42502 24.44500 25.46498 26.48496  27.50495  28.52493  29.54491
sigma 1.7 50% 17.012668 19.148300 21.283933 23.419566 25.55520 27.69083 29.82646 31.96210 34.09773 36.23336 38.36900 40.50463 42.64026 44.77589 46.91153 49.04716 51.18279 53.31842 55.45406  57.58969  59.72532  61.86096
sigma 1.7 75% 28.104082 31.632042 35.160001 38.687960 42.21592 45.74388 49.27184 52.79980 56.32776 59.85572 63.38368 66.91163 70.43959 73.96755 77.49551 81.02347 84.55143 88.07939 91.60735  95.13531  98.66327 102.19123

sigma 1.8 25%  7.823630  8.805745  9.787860 10.769976 11.75209 12.73421 13.71632 14.69844 15.68055 16.66267 17.64478 18.62690 19.60901 20.59113 21.57324 22.55536 23.53747 24.51959 25.50170  26.48382  27.46593  28.44805
sigma 1.8 50% 16.413709 18.474153 20.534597 22.595042 24.65549 26.71593 28.77637 30.83682 32.89726 34.95771 37.01815 39.07860 41.13904 43.19948 45.25993 47.32037 49.38082 51.44126 53.50171  55.56215  57.62259  59.68304
sigma 1.8 75% 27.262951 30.685322 34.107692 37.530063 40.95243 44.37480 47.79717 51.21954 54.64191 58.06429 61.48666 64.90903 68.33140 71.75377 75.17614 78.59851 82.02088 85.44325 88.86562  92.28799  95.71036  99.13273

sigma 1.9 25%  7.530559  8.475885  9.421210 10.366536 11.31186 12.25719 13.20251 14.14784 15.09316 16.03849 16.98381 17.92914 18.87447 19.81979 20.76512 21.71044 22.65577 23.60109 24.54642  25.49174  26.43707  27.38239
sigma 1.9 50% 15.825857 17.812507 19.799157 21.785807 23.77246 25.75911 27.74576 29.73241 31.71906 33.70571 35.69236 37.67901 39.66566 41.65231 43.63896 45.62561 47.61226 49.59891 51.58556  53.57221  55.55886  57.54551
sigma 1.9 75% 26.413009 29.728685 33.044361 36.360036 39.67571 42.99139 46.30706 49.62274 52.93841 56.25409 59.56977 62.88544 66.20112 69.51679 72.83247 76.14814 79.46382 82.77950 86.09517  89.41085  92.72652  96.04220

sigma 2.0 25%  7.247418  8.157200  9.066983  9.976765 10.88655 11.79633 12.70611 13.61589 14.52568 15.43546 16.34524 17.25502 18.16481 19.07459 19.98437 20.89415 21.80393 22.71372 23.62350  24.53328  25.44306  26.35285
sigma 2.0 50% 15.252828 17.167544 19.082261 20.996978 22.91169 24.82641 26.74113 28.65584 30.57056 32.48528 34.39999 36.31471 38.22943 40.14414 42.05886 43.97358 45.88829 47.80301 49.71773  51.63244  53.54716  55.46188
sigma 2.0 75% 25.562470 28.771375 31.980281 35.189187 38.39809 41.60700 44.81590 48.02481 51.23372 54.44262 57.65153 60.86043 64.06934 67.27824 70.48715 73.69606 76.90496 80.11387 83.32277  86.53168  89.74059  92.94949

Without concealment module on slot 5 on the target:



                      5         6         7         8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24        25        26
sigma 1.4 25%  8.631231  9.714726 10.798221 11.881715 12.96521 14.04871 15.13220 16.21570 17.29919 18.38268 19.46618 20.54967 21.63317 22.71666 23.80016 24.88365 25.96715 27.05064 28.13414 29.21763  30.30113  31.38462
sigma 1.4 50% 17.932683 20.183807 22.434931 24.686056 26.93718 29.18830 31.43943 33.69055 35.94168 38.19280 40.44392 42.69505 44.94617 47.19730 49.44842 51.69954 53.95067 56.20179 58.45292 60.70404  62.95516  65.20629
sigma 1.4 75% 29.039780 32.685199 36.330618 39.976037 43.62146 47.26688 50.91229 54.55771 58.20313 61.84855 65.49397 69.13939 72.78481 76.43023 80.07565 83.72107 87.36649 91.01191 94.65732 98.30274 101.94816 105.59358

sigma 1.5 25%  8.330594  9.376349 10.422105 11.467860 12.51362 13.55937 14.60513 15.65088 16.69664 17.74239 18.78815 19.83390 20.87966 21.92541 22.97117 24.01693 25.06268 26.10844 27.15419 28.19995  29.24570  30.29146
sigma 1.5 50% 17.357836 19.536798 21.715760 23.894723 26.07369 28.25265 30.43161 32.61057 34.78953 36.96850 39.14746 41.32642 43.50538 45.68435 47.86331 50.04227 52.22123 54.40020 56.57916 58.75812  60.93708  63.11605
sigma 1.5 75% 28.310900 31.864822 35.418743 38.972664 42.52659 46.08051 49.63443 53.18835 56.74227 60.29619 63.85011 67.40404 70.95796 74.51188 78.06580 81.61972 85.17364 88.72757 92.28149 95.83541  99.38933 102.94325

sigma 1.7 25%  7.738364  8.709776  9.681188 10.652599 11.62401 12.59542 13.56683 14.53825 15.50966 16.48107 17.45248 18.42389 19.39530 20.36672 21.33813 22.30954 23.28095 24.25236 25.22377 26.19519  27.16660  28.13801
sigma 1.7 50% 16.202541 18.236477 20.270413 22.304348 24.33828 26.37222 28.40616 30.44009 32.47403 34.50796 36.54190 38.57584 40.60977 42.64371 44.67764 46.71158 48.74552 50.77945 52.81339 54.84732  56.88126  58.91520
sigma 1.7 75% 26.765793 30.125754 33.485715 36.845676 40.20564 43.56560 46.92556 50.28552 53.64548 57.00544 60.36540 63.72537 67.08533 70.44529 73.80525 77.16521 80.52517 83.88513 87.24509 90.60506  93.96502  97.32498

sigma 1.8 25%  7.451076  8.386424  9.321772 10.257120 11.19247 12.12782 13.06316 13.99851 14.93386 15.86921 16.80455 17.73990 18.67525 19.61060 20.54595 21.48129 22.41664 23.35199 24.28734 25.22269  26.15803  27.09338
sigma 1.8 50% 15.632103 17.594431 19.556759 21.519087 23.48142 25.44374 27.40607 29.36840 31.33073 33.29305 35.25538 37.21771 39.18004 41.14237 43.10469 45.06702 47.02935 48.99168 50.95401 52.91633  54.87866  56.84099
sigma 1.8 75% 25.964715 29.224116 32.483516 35.742917 39.00232 42.26172 45.52112 48.78052 52.03992 55.29932 58.55872 61.81812 65.07752 68.33692 71.59632 74.85572 78.11512 81.37452 84.63392 87.89332  91.15272  94.41212

sigma 1.9 25%  7.171961  8.072271  8.972581  9.872891 10.77320 11.67351 12.57382 13.47413 14.37444 15.27475 16.17506 17.07537 17.97568 18.87599 19.77630 20.67661 21.57692 22.47723 23.37754 24.27785  25.17816  26.07847
sigma 1.9 50% 15.072245 16.964293 18.856340 20.748388 22.64044 24.53248 26.42453 28.31658 30.20863 32.10067 33.99272 35.88477 37.77682 39.66887 41.56091 43.45296 45.34501 47.23706 49.12910 51.02115  52.91320  54.80525
sigma 1.9 75% 25.155247 28.313033 31.470820 34.628606 37.78639 40.94418 44.10196 47.25975 50.41754 53.57532 56.73311 59.89090 63.04868 66.20647 69.36426 72.52204 75.67983 78.83761 81.99540 85.15319  88.31097  91.46876

sigma 2.0 25%  6.902303  7.768762  8.635222  9.501681 10.36814 11.23460 12.10106 12.96752 13.83398 14.70044 15.56690 16.43336 17.29981 18.16627 19.03273 19.89919 20.76565 21.63211 22.49857 23.36503  24.23149  25.09795
sigma 2.0 50% 14.526502 16.350042 18.173582 19.997121 21.82066 23.64420 25.46774 27.29128 29.11482 30.93836 32.76190 34.58544 36.40898 38.23252 40.05606 41.87960 43.70314 45.52668 47.35022 49.17376  50.99730  52.82084
sigma 2.0 75% 24.345209 27.401310 30.457411 33.513511 36.56961 39.62571 42.68181 45.73791 48.79402 51.85012 54.90622 57.96232 61.01842 64.07452 67.13062 70.18672 73.24282 76.29892 79.35502 82.41112  85.46722  88.52332

 

Special cases (Yamato with legendary module, Thunderer, Georgia, Mikasa, Warspite/Hood/Vanguard):

Spoiler

With concealment module on slot 5 on the target (doesn't include Mikasa, Georgia with and without the artillery module on slot 6):



                                   5         6         7         8         9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
yamato (legendary) 25%      8.281209  8.778081  9.274954  9.771826 10.268699 10.76557 11.26244 11.75932 12.25619 12.75306 13.24993 13.74681 14.24368 14.74055 15.23742 15.73430 16.23117 16.72804 17.22491 17.72179 18.21866 18.71553
yamato (legendary) 50%     17.449525 18.496497 19.543468 20.590440 21.637412 22.68438 23.73135 24.77833 25.82530 26.87227 27.91924 28.96621 30.01318 31.06016 32.10713 33.15410 34.20107 35.24804 36.29501 37.34198 38.38896 39.43593
yamato (legendary) 75%     29.347234 31.108068 32.868902 34.629736 36.390570 38.15140 39.91224 41.67307 43.43391 45.19474 46.95557 48.71641 50.47724 52.23808 53.99891 55.75974 57.52058 59.28141 61.04225 62.80308 64.56392 66.32475

thunderer 25%               7.210110  7.883053  8.555997  9.228941  9.901884 10.57483 11.24777 11.92071 12.59366 13.26660 13.93955 14.61249 15.28543 15.95838 16.63132 17.30426 17.97721 18.65015 19.32309 19.99604 20.66898 21.34193
thunderer 50%              15.152416 16.566642 17.980867 19.395093 20.809318 22.22354 23.63777 25.05200 26.46622 27.88045 29.29467 30.70890 32.12312 33.53735 34.95157 36.36580 37.78002 39.19425 40.60848 42.02270 43.43693 44.85115
thunderer 75%              25.289052 27.649363 30.009674 32.369986 34.730297 37.09061 39.45092 41.81123 44.17154 46.53185 48.89217 51.25248 53.61279 55.97310 58.33341 60.69372 63.05404 65.41435 67.77466 70.13497 72.49528 74.85559

georgia (artillery) 25%     7.168528  7.837591  8.506654  9.175716  9.844779 10.51384 11.18290 11.85197 12.52103 13.19009 13.85916 14.52822 15.19728 15.86634 16.53541 17.20447 17.87353 18.54259 19.21166 19.88072 20.54978 21.21884
georgia (artillery) 50%    15.039328 16.442999 17.846669 19.250340 20.654011 22.05768 23.46135 24.86502 26.26869 27.67236 29.07603 30.47970 31.88338 33.28705 34.69072 36.09439 37.49806 38.90173 40.30540 41.70907 43.11274 44.51641
georgia (artillery) 75%    24.980123 27.311602 29.643080 31.974558 34.306036 36.63751 38.96899 41.30047 43.63195 45.96343 48.29491 50.62638 52.95786 55.28934 57.62082 59.95230 62.28377 64.61525 66.94673 69.27821 71.60969 73.94117

georgia (no artillery) 25%  8.054526  8.806282  9.558038 10.309794 11.061550 11.81331 12.56506 13.31682 14.06857 14.82033 15.57208 16.32384 17.07560 17.82735 18.57911 19.33086 20.08262 20.83437 21.58613 22.33789 23.08964 23.84140
georgia (no artillery) 50% 16.898121 18.475279 20.052437 21.629596 23.206754 24.78391 26.36107 27.93823 29.51539 31.09254 32.66970 34.24686 35.82402 37.40118 38.97833 40.55549 42.13265 43.70981 45.28697 46.86412 48.44128 50.01844
georgia (no artillery) 75% 28.067554 30.687193 33.306831 35.926470 38.546108 41.16575 43.78538 46.40502 49.02466 51.64430 54.26394 56.88358 59.50322 62.12285 64.74249 67.36213 69.98177 72.60141 75.22105 77.84068 80.46032 83.07996

hood 25%                    8.211514  9.036671  9.861828 10.686985 11.512142 12.33730 13.16246 13.98761 14.81277 15.63793 16.46308 17.28824 18.11340 18.93856 19.76371 20.58887 21.41403 22.23918 23.06434 23.88950 24.71465 25.53981
hood 50%                   17.256919 18.991028 20.725138 22.459248 24.193358 25.92747 27.66158 29.39569 31.12980 32.86391 34.59802 36.33213 38.06624 39.80035 41.53446 43.26857 45.00268 46.73679 48.47090 50.20501 51.93912 53.67323
hood 75%                   28.801420 31.695611 34.589803 37.483994 40.378186 43.27238 46.16657 49.06076 51.95495 54.84914 57.74333 60.63753 63.53172 66.42591 69.32010 72.21429 75.10848 78.00267 80.89687 83.79106 86.68525 89.57944

warspite/vanguard 25%       7.902770  8.696902  9.491034 10.285166 11.079298 11.87343 12.66756 13.46169 14.25583 15.04996 15.84409 16.63822 17.43235 18.22649 19.02062 19.81475 20.60888 21.40301 22.19715 22.99128 23.78541 24.57954
warspite/vanguard 50%      16.632073 18.303393 19.974714 21.646034 23.317354 24.98867 26.66000 28.33132 30.00264 31.67396 33.34528 35.01660 36.68792 38.35924 40.03056 41.70188 43.37320 45.04452 46.71584 48.38716 50.05848 51.72980
warspite/vanguard 75%      27.873970 30.674964 33.475958 36.276952 39.077946 41.87894 44.67993 47.48093 50.28192 53.08292 55.88391 58.68490 61.48590 64.28689 67.08789 69.88888 72.68987 75.49087 78.29186 81.09286 83.89385 86.69484

Without concealment module on slot 5 on the target (includes Mikasa, same stuff about Georgia):



                                   5         6         7         8         9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
yamato (legendary) 25%      7.886865  8.360077  8.833289  9.306501  9.779713 10.25293 10.72614 11.19935 11.67256 12.14577 12.61898 13.09220 13.56541 14.03862 14.51183 14.98504 15.45826 15.93147 16.40468 16.87789 17.35110 17.82432
yamato (legendary) 50%     16.618596 17.615711 18.612827 19.609943 20.607059 21.60417 22.60129 23.59841 24.59552 25.59264 26.58975 27.58687 28.58398 29.58110 30.57822 31.57533 32.57245 33.56956 34.56668 35.56379 36.56091 37.55803
yamato (legendary) 75%     27.949747 29.626732 31.303716 32.980701 34.657686 36.33467 38.01166 39.68864 41.36563 43.04261 44.71959 46.39658 48.07356 49.75055 51.42753 53.10452 54.78150 56.45849 58.13547 59.81246 61.48944 63.16643

mikasa 25%                  9.162556  9.818851 10.475146 11.131441 11.787735 12.44403 13.10032 13.75662 14.41291 15.06921 15.72550 16.38180 17.03809 17.69439 18.35068 19.00698 19.66327 20.31957 20.97586 21.63216 22.28845 22.94475
mikasa 50%                 19.222731 20.599615 21.976499 23.353383 24.730267 26.10715 27.48403 28.86092 30.23780 31.61469 32.99157 34.36845 35.74534 37.12222 38.49911 39.87599 41.25287 42.62976 44.00664 45.38353 46.76041 48.13729
mikasa 75%                 31.928699 34.215685 36.502671 38.789657 41.076643 43.36363 45.65061 47.93760 50.22459 52.51157 54.79856 57.08554 59.37253 61.65952 63.94650 66.23349 68.52047 70.80746 73.09445 75.38143 77.66842 79.95540

thunderer 25%               6.866771  7.507670  8.148569  8.789467  9.430366 10.07126 10.71216 11.35306 11.99396 12.63486 13.27576 13.91666 14.55756 15.19845 15.83935 16.48025 17.12115 17.76205 18.40295 19.04385 19.68474 20.32564
thunderer 50%              14.430873 15.777754 17.124636 18.471517 19.818399 21.16528 22.51216 23.85904 25.20592 26.55281 27.89969 29.24657 30.59345 31.94033 33.28721 34.63409 35.98098 37.32786 38.67474 40.02162 41.36850 42.71538
thunderer 75%              24.084811 26.332727 28.580642 30.828558 33.076474 35.32439 37.57231 39.82022 42.06814 44.31605 46.56397 48.81188 51.05980 53.30771 55.55563 57.80355 60.05146 62.29938 64.54729 66.79521 69.04312 71.29104

georgia (artillery) 25%     6.827170  7.464373  8.101575  8.738778  9.375980 10.01318 10.65039 11.28759 11.92479 12.56199 13.19920 13.83640 14.47360 15.11080 15.74801 16.38521 17.02241 17.65961 18.29682 18.93402 19.57122 20.20842
georgia (artillery) 50%    14.323170 15.659999 16.996828 18.333657 19.670486 21.00732 22.34414 23.68097 25.01780 26.35463 27.69146 29.02829 30.36512 31.70195 33.03878 34.37561 35.71244 37.04927 38.38609 39.72292 41.05975 42.39658
georgia (artillery) 75%    23.790594 26.011049 28.231505 30.451960 32.672415 34.89287 37.11333 39.33378 41.55424 43.77469 45.99515 48.21560 50.43606 52.65651 54.87697 57.09742 59.31788 61.53834 63.75879 65.97925 68.19970 70.42016

georgia (no artillery) 25%  7.670978  8.386935  9.102893  9.818851 10.534809 11.25077 11.96672 12.68268 13.39864 14.11460 14.83056 15.54651 16.26247 16.97843 17.69439 18.41035 19.12630 19.84226 20.55822 21.27418 21.99014 22.70609
georgia (no artillery) 50% 16.093449 17.595504 19.097560 20.599615 22.101670 23.60373 25.10578 26.60784 28.10989 29.61195 31.11400 32.61606 34.11811 35.62017 37.12222 38.62428 40.12633 41.62839 43.13044 44.63250 46.13455 47.63661
georgia (no artillery) 75% 26.731004 29.225898 31.720792 34.215685 36.710579 39.20547 41.70037 44.19526 46.69015 49.18505 51.67994 54.17484 56.66973 59.16462 61.65952 64.15441 66.64930 69.14420 71.63909 74.13398 76.62888 79.12377

hood 25%                    7.820490  8.606353  9.392217 10.178081 10.963945 11.74981 12.53567 13.32154 14.10740 14.89326 15.67913 16.46499 17.25086 18.03672 18.82258 19.60845 20.39431 21.18017 21.96604 22.75190 23.53777 24.32363
hood 50%                   16.435161 18.086694 19.738227 21.389760 23.041293 24.69283 26.34436 27.99589 29.64743 31.29896 32.95049 34.60203 36.25356 37.90509 39.55663 41.20816 42.85969 44.51123 46.16276 47.81429 49.46582 51.11736
hood 75%                   27.429924 30.186296 32.942669 35.699042 38.455415 41.21179 43.96816 46.72453 49.48091 52.23728 54.99365 57.75002 60.50640 63.26277 66.01914 68.77552 71.53189 74.28826 77.04463 79.80101 82.55738 85.31375

warspite/vanguard 25%       7.526447  8.282764  9.039080  9.795396 10.551712 11.30803 12.06434 12.82066 13.57698 14.33329 15.08961 15.84593 16.60224 17.35856 18.11487 18.87119 19.62751 20.38382 21.14014 21.89645 22.65277 23.40909
warspite/vanguard 50%      15.840069 17.431803 19.023537 20.615270 22.207004 23.79874 25.39047 26.98221 28.57394 30.16567 31.75741 33.34914 34.94087 36.53261 38.12434 39.71608 41.30781 42.89954 44.49128 46.08301 47.67474 49.26648
warspite/vanguard 75%      26.546638 29.214251 31.881864 34.549478 37.217091 39.88470 42.55232 45.21993 47.88754 50.55516 53.22277 55.89038 58.55800 61.22561 63.89322 66.56084 69.22845 71.89606 74.56368 77.23129 79.89890 82.56652

 

 

 

 

Edited by Lege_ranger
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50 minutes ago, Lege_ranger said:

 If it is, then it is formally a truncated gaussian distribution,

I believe WG has referred to it in those or very similar terms.  

50 minutes ago, Lege_ranger said:
  • the maximum horizontal dispersion is the diameter (not the radius) of the ellipsoid
  • no shell falls outside the ellipsoid

AFAIK, yes.

50 minutes ago, Lege_ranger said:
  • the maximum dispersion given in port is for when a target is locked on

No clue, but probably so.

@LittleWhiteMouse seems to about this stuff.  More than me, anyway.

I'm going to follow this thread because I'd like to put a condensation of it in the wiki. 

Edited by iDuckman

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6 minutes ago, iDuckman said:

I believe WG has referred to it in those or very similar terms.  

I'm going to follow this thread because I'd like to put a condensation of it in the wiki. 

They mentioned gaussian, but the truncated part matters in how you use sigma. It's one of the things I need to be doublechecked.

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This is very nice work.  The missing piece of the puzzle (which frustrates me to this day) is the vertical axis.  One would assume that the combination of ballistics plus a related (modified by ballistics) dispersion for the vertical axis would also exist but cornering Wargaming on this subject is like herding cats.

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Nice work, but was surprised that the data is linear. Didn't think it was that simple.

image.png.f137c14c6e2ac18174a76487ab256e91.png

I'm going to trust the people who collected the data, but seems simplistic to me. Or is it the vertical component which really messes things up? Though this plot seems to be pretty indicative of what we know about relative accuracy for each nations at general ranges.

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2 hours ago, LittleWhiteMouse said:

The missing piece of the puzzle (which frustrates me to this day) is the vertical axis.

If I were to imagine, I'd say that the cross-section of the flight path of incoming shells would be made to conform to an ellipse a circle, and the published dispersion pattern a projection of that ellipse circle upon the sea surface.  Thus the vertical pattern (the projection) is not an ellipse and the vertical (major) axis is not symmetrical. 

WG had made a point of describing certain Gaussian distributions as symmetrical, leading one to suspect that some are not.

 

Edited by iDuckman

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1 hour ago, AJTP89 said:

Nice work, but was surprised that the data is linear. Didn't think it was that simple.

image.png.f137c14c6e2ac18174a76487ab256e91.png

I'm going to trust the people who collected the data, but seems simplistic to me. Or is it the vertical component which really messes things up? Though this plot seems to be pretty indicative of what we know about relative accuracy for each nations at general ranges.

The data is linear because the dispersion formula is linear, every other parameter is constant and you're using only one quantile (the 50% one). If you were to plot for a specific ship over multiple quantiles, the curve would look somewhat hyperbolic.

Your linear plot is useful to visualize the ship's shell dispersion adjusted by their sigma. If you plot each ship dispersion formula alone (adjusted or not by modifiers, mostly relevant for Yamato and american ships due to their unique slot 6 modules), you should see a different curve for each ship, as well as different breakpoints on when two given ships (with different sigma values) surpass the other in accuracy. I mentioned that Yamato and Thunderer have the same dispersion on 17.67km by their formula and modifiers alone, but the quantile analysis say that, with the sigma difference, they have similar shell behavior around 11-12km instead.

A more illustrative example, I was toying with the Yamato vs Musashi as well, no legendary module for Yamato, so both have the same dispersion. The sigma makes Yamato's shells behave roughly as if it were shooting 3km closer than Musashi, give or take depending on the range:

yamatoNoLegendary
                   5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Yamato 25%  8.904525  9.438797  9.973069 10.50734 11.04161 11.57588 12.11015 12.64443 13.17870 13.71297 14.24724 14.78151 15.31578 15.85006 16.38433 16.91860 17.45287 17.98714 18.52141 19.05568 19.58996 20.12423
Yamato 50% 18.762931 19.888706 21.014482 22.14026 23.26603 24.39181 25.51759 26.64336 27.76914 28.89491 30.02069 31.14646 32.27224 33.39802 34.52379 35.64957 36.77534 37.90112 39.02690 40.15267 41.27845 42.40422
Yamato 75% 31.556166 33.449536 35.342906 37.23628 39.12965 41.02302 42.91639 44.80976 46.70313 48.59650 50.48987 52.38324 54.27661 56.16998 58.06334 59.95671 61.85008 63.74345 65.63682 67.53019 69.42356 71.31693

musashi
                    5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Musashi 25%  9.987613 10.58687 11.18613 11.78538 12.38464 12.98390 13.58315 14.18241 14.78167 15.38092 15.98018 16.57944 17.17869 17.77795 18.37721 18.97646 19.57572 20.17498 20.77423 21.37349 21.97275 22.57200
Musashi 50% 20.953671 22.21089 23.46811 24.72533 25.98255 27.23977 28.49699 29.75421 31.01143 32.26865 33.52587 34.78309 36.04031 37.29753 38.55475 39.81197 41.06919 42.32641 43.58363 44.84086 46.09808 47.35530
Musashi 75% 34.803767 36.89199 38.98022 41.06845 43.15667 45.24490 47.33312 49.42135 51.50958 53.59780 55.68603 57.77425 59.86248 61.95071 64.03893 66.12716 68.21538 70.30361 72.39184 74.48006 76.56829 78.65651

Plotting it should result in two non-parallel curves, while a plot of their dispersion formula alone (modifiers don't matter, they're using the same ones and no legendary module for yammy) would result in identical, overlapping curves.

Edited by Lege_ranger

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2 hours ago, LittleWhiteMouse said:

This is very nice work.  The missing piece of the puzzle (which frustrates me to this day) is the vertical axis.  One would assume that the combination of ballistics plus a related (modified by ballistics) dispersion for the vertical axis would also exist but cornering Wargaming on this subject is like herding cats.

 

1 hour ago, AJTP89 said:

Nice work, but was surprised that the data is linear. Didn't think it was that simple.

image.png.f137c14c6e2ac18174a76487ab256e91.png

I'm going to trust the people who collected the data, but seems simplistic to me. Or is it the vertical component which really messes things up? Though this plot seems to be pretty indicative of what we know about relative accuracy for each nations at general ranges.

About vertical dispersion, I see posts referring to two different things under this name:

  • the distance on which the shell hits the water
  • the distance the shells flies over/under the center of your aim when it is at a given distance of your ship

In other words, these posts seem to refer to two different axis in a 3d space. The first one is affected by the ballistics of the ship's shells, the second might not be. This comes into play in some discussions about each ship/line having a certain vertical dispersion that is a ratio of the horizontal dispersion (between 0.2 and 0.8 iirc). I don't have enough information about vertical dispersion to analyze it, nor do I have a reliable way to collect data under the second one (a.k.a. how to know that the shells are exactly at, say, 15km from my ship after a shot).

Either way, I don't think vertical dispersion is relevant to the plot; my intent was to find a way to adjust horizontal dispersion by the ship's sigma. When vertical dispersion is figured out, we can try to adjust that one for sigma as well, or vice-versa.

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1 hour ago, Lege_ranger said:

The data is linear because the dispersion formula is linear, every other parameter is constant and you're using only one quantile (the 50% one). If you were to plot for a specific ship over multiple quantiles, the curve would look somewhat hyperbolic.

Your linear plot is useful to visualize the ship's shell dispersion adjusted by their sigma. If you plot each ship dispersion formula alone (adjusted or not by modifiers, mostly relevant for Yamato and american ships due to their unique slot 6 modules), you should see a different curve for each ship, as well as different breakpoints on when two given ships (with different sigma values) surpass the other in accuracy. I mentioned that Yamato and Thunderer have the same dispersion on 17.67km by their formula and modifiers alone, but the quantile analysis say that, with the sigma difference, they have similar shell behavior around 11-12km instead.

A more illustrative example, I was toying with the Yamato vs Musashi as well, no legendary module for Yamato, so both have the same dispersion. The sigma makes Yamato's shells behave roughly as if it were shooting 3km closer than Musashi, give or take depending on the range:


yamatoNoLegendary
                   5         6         7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Yamato 25%  8.904525  9.438797  9.973069 10.50734 11.04161 11.57588 12.11015 12.64443 13.17870 13.71297 14.24724 14.78151 15.31578 15.85006 16.38433 16.91860 17.45287 17.98714 18.52141 19.05568 19.58996 20.12423
Yamato 50% 18.762931 19.888706 21.014482 22.14026 23.26603 24.39181 25.51759 26.64336 27.76914 28.89491 30.02069 31.14646 32.27224 33.39802 34.52379 35.64957 36.77534 37.90112 39.02690 40.15267 41.27845 42.40422
Yamato 75% 31.556166 33.449536 35.342906 37.23628 39.12965 41.02302 42.91639 44.80976 46.70313 48.59650 50.48987 52.38324 54.27661 56.16998 58.06334 59.95671 61.85008 63.74345 65.63682 67.53019 69.42356 71.31693

musashi
                    5        6        7        8        9       10       11       12       13       14       15       16       17       18       19       20       21       22       23       24       25       26
Musashi 25%  9.987613 10.58687 11.18613 11.78538 12.38464 12.98390 13.58315 14.18241 14.78167 15.38092 15.98018 16.57944 17.17869 17.77795 18.37721 18.97646 19.57572 20.17498 20.77423 21.37349 21.97275 22.57200
Musashi 50% 20.953671 22.21089 23.46811 24.72533 25.98255 27.23977 28.49699 29.75421 31.01143 32.26865 33.52587 34.78309 36.04031 37.29753 38.55475 39.81197 41.06919 42.32641 43.58363 44.84086 46.09808 47.35530
Musashi 75% 34.803767 36.89199 38.98022 41.06845 43.15667 45.24490 47.33312 49.42135 51.50958 53.59780 55.68603 57.77425 59.86248 61.95071 64.03893 66.12716 68.21538 70.30361 72.39184 74.48006 76.56829 78.65651

Plotting it should result in two non-parallel curves, while a plot of their dispersion formula alone (modifiers don't matter, they're using the same ones and no legendary module for yammy) would result in identical, overlapping curves.

I've spent way to much time on this now, grabbed my interest for whatever reason. I've played around with the numbers, but everything seems to scale linearly. Plotting your sigma corrected accuracies as I did earlier is linear. Obviously if you plot percent shells vs radius for a certain distance, that will be gaussian. Not sure what you mean by "same ship over multiple quantiles." Any plot as range changes is linear.

I went and ran a calculation to find the mean value of at each range. This is basically the most likely distance for a shell to fall from the center of the aim point. I thought if anything shifted non-linearly it would be this, but nope, plotting against range is a linear curve. So the probability density of horizontal shell spread increases linearly. Interesting. I'm not a stats genius for sure, I know enough to get by for what I do, but no way I run it does it look hyperbolic as range changes.

1 hour ago, Lege_ranger said:

 

About vertical dispersion, I see posts referring to two different things under this name:

  • the distance on which the shell hits the water
  • the distance the shells flies over/under the center of your aim when it is at a given distance of your ship

In other words, these posts seem to refer to two different axis in a 3d space. The first one is affected by the ballistics of the ship's shells, the second might not be. This comes into play in some discussions about each ship/line having a certain vertical dispersion that is a ratio of the horizontal dispersion (between 0.2 and 0.8 iirc). I don't have enough information about vertical dispersion to analyze it, nor do I have a reliable way to collect data under the second one (a.k.a. how to know that the shells are exactly at, say, 15km from my ship after a shot).

Either way, I don't think vertical dispersion is relevant to the plot; my intent was to find a way to adjust horizontal dispersion by the ship's sigma. When vertical dispersion is figured out, we can try to adjust that one for sigma as well, or vice-versa.

My guess is that vertical dispersion is the latter, because the former would just be a simple function of that. Aim point is a set distance from ship, so calculating vertical dispersion from there also gives you total distance.

I think vertical dispersion is a function of shell velocity and horizontal dispersion, because I believe WG has said (or people have proven) that higher velocity guns have worse vertical dispersion. However, shell velocity is a tricky thing to calculate, as it is done pretty realistically in game. And we don't have any firm measures of it. So yeah, kind of pointless to speculate.

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29 minutes ago, AJTP89 said:

I've spent way to much time on this now, grabbed my interest for whatever reason. I've played around with the numbers, but everything seems to scale linearly. Plotting your sigma corrected accuracies as I did earlier is linear. Obviously if you plot percent shells vs radius for a certain distance, that will be gaussian. Not sure what you mean by "same ship over multiple quantiles." Any plot as range changes is linear.

I went and ran a calculation to find the mean value of at each range. This is basically the most likely distance for a shell to fall from the center of the aim point. I thought if anything shifted non-linearly it would be this, but nope, plotting against range is a linear curve. So the probability density of horizontal shell spread increases linearly. Interesting. I'm not a stats genius for sure, I know enough to get by for what I do, but no way I run it does it look hyperbolic as range changes.

Oh, by "same ship over multiple quantiles", I meant how a ship would behave if we fixed the range (say, 15km) and checked how it would behave at different quantiles (10%, 25%, 50%, 75%, 90%, etc).

For instance, pick Yamato (with legendary module) at 15km range. The dispersion radius after modifiers at that range is 90.6691 meters. The 25% quantile (13.24993m) is ~14.6% of the dispersion radius; the 50% quantile (27.91924m) is ~30.8% of that, and the 75% quantile (46.95557m) is ~51.8%. Plotting this distance from the center of the aim at a fixed range is what would give a hyperbolic looking curve.

When it comes to range, the plot will indeed be linear. The thing about the truncated gaussian distribution is that, for a given quantile and fixed sigma, that quantile will always be at a certain ratio of the dispersion radius. In Yamato's 2.1 sigma case, the 50% quantile will always be at that ~30.8% of the dispersion radius. Since dispersion grows linearly with range, so will the sigma adjusted accuracy for a given quantile.

Different sigma values will have a quantile in a different ratio of the dispersion radius. For instance, for the 1.8 sigma found on GK/Conqueror/Bourgogne, the 50% quantile ratio will be ~34.4% of the dispersion radius.

Edited by Lege_ranger

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3 minutes ago, Lege_ranger said:

Oh, by "same ship over multiple quantiles", I meant how a ship would behave if we fixed the range (say, 15km) and checked how it would behave at different quantiles (10%, 25%, 50%, 75%, 90%, etc).

For instance, pick Yamato (with legendary module) at 15km range. The dispersion radius after modifiers at that range is 90.6691 meters. The 25% quantile (13.24993m) is 14.6% of the dispersion radius; the 50% quantile (27.91924m) is 30.8% of that, and the 75% quantile (46.95557m) is 51.8%. Plotting this distance from the center of the aim at a fixed range is what would give a hyperbolic looking curve.

When it comes to range, the plot will indeed be linear. The thing about the truncated gaussian distribution is that, for a given quantile and fixed sigma, that quantile will always be at a certain ratio of the dispersion radius. In Yamato's 2.1 sigma case, the 50% quantile will always be at that ~30.8% of the dispersion radius. Since dispersion grows linearly with range, so will the sigma adjusted accuracy for a given quantile.

Different sigma values will have a quantile in a different ratio of the dispersion radius. For instance, for the 1.8 sigma found on GK/Conqueror/Bourgogne, the 50% quantile ratio will be ~34.4% of the dispersion radius.

I have been trying for years to manually plot dispersion and I've largely had to give up on hoping to solve the puzzle this way.  There's no way to test this with the current in game client that I'm aware of.  As soon as you touch the throttle to position your firing ship, it's impossible to get the ship to remain stationary after.  Even if you cut the throttle, the ship will drift (often in odd angles).  This means you might begin a test at a range of 15.00km but by the end and the angle of fire has drifted, giving you a different aim point from the start.  Some ships drift worse than others.  I couldn't complete even an approximate dispersion map for Poltava because of how badly she slid about with her engines cut.  That means these kinds of plotting will only ever be approximate:

Yy9jBom.gif

These are 180 shells fired at 15km at a stationary Fuso.  The Fuso lacks camouflage and the guns are locked on.  Both firing ships drifted only slightly, but they still drifted.

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47 minutes ago, Lege_ranger said:

Oh, by "same ship over multiple quantiles", I meant how a ship would behave if we fixed the range (say, 15km) and checked how it would behave at different quantiles (10%, 25%, 50%, 75%, 90%, etc).

For instance, pick Yamato (with legendary module) at 15km range. The dispersion radius after modifiers at that range is 90.6691 meters. The 25% quantile (13.24993m) is ~14.6% of the dispersion radius; the 50% quantile (27.91924m) is ~30.8% of that, and the 75% quantile (46.95557m) is ~51.8%. Plotting this distance from the center of the aim at a fixed range is what would give a hyperbolic looking curve.

When it comes to range, the plot will indeed be linear. The thing about the truncated gaussian distribution is that, for a given quantile and fixed sigma, that quantile will always be at a certain ratio of the dispersion radius. In Yamato's 2.1 sigma case, the 50% quantile will always be at that ~30.8% of the dispersion radius. Since dispersion grows linearly with range, so will the sigma adjusted accuracy for a given quantile.

Different sigma values will have a quantile in a different ratio of the dispersion radius. For instance, for the 1.8 sigma found on GK/Conqueror/Bourgogne, the 50% quantile ratio will be ~34.4% of the dispersion radius.

That's what I figured you meant, yeah, for the same range the shells within a given radius is going to have a non-linear relation to the radius chosen.

Looks like figured out the hard way what you already knew, eh, that's how I usually operate and now I've proved to myself it works:Smile_teethhappy:

Surprised linear dispersion is that straightforward, the truncated gaussian is tricky to apply, but simple concept. Learn something new every day I guess.

17 minutes ago, LittleWhiteMouse said:

I have been trying for years to manually plot dispersion and I've largely had to give up on hoping to solve the puzzle this way.  There's no way to test this with the current in game client that I'm aware of.  As soon as you touch the throttle to position your firing ship, it's impossible to get the ship to remain stationary after.  Even if you cut the throttle, the ship will drift (often in odd angles).  This means you might begin a test at a range of 15.00km but by the end and the angle of fire has drifted, giving you a different aim point from the start.  Some ships drift worse than others.  I couldn't complete even an approximate dispersion map for Poltava because of how badly she slid about with her engines cut.  That means these kinds of plotting will only ever be approximate:

Yy9jBom.gif

These are 180 shells fired at 15km at a stationary Fuso.  The Fuso lacks camouflage and the guns are locked on.  Both firing ships drifted only slightly, but they still drifted.

You really have a love/hate relationship with those dispersion plots don't you Mouse?:Smile_teethhappy: Great visuals, but I know it's a real pain and a TON of time to make them.

On the drifting, I wonder if running one or both ships aground, and holding it there with throttle and rudder would work? Less flexibility with range, but at least you're not moving (maybe?).

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3 minutes ago, AJTP89 said:

That's what I figured you meant, yeah, for the same range the shells within a given radius is going to have a non-linear relation to the radius chosen.

Looks like figured out the hard way what you already knew, eh, that's how I usually operate and now I've proved to myself it works:Smile_teethhappy:

Surprised linear dispersion is that straightforward, the truncated gaussian is tricky to apply, but simple concept. Learn something new every day I guess.

:)

25 minutes ago, LittleWhiteMouse said:

I have been trying for years to manually plot dispersion and I've largely had to give up on hoping to solve the puzzle this way.  There's no way to test this with the current in game client that I'm aware of.  As soon as you touch the throttle to position your firing ship, it's impossible to get the ship to remain stationary after.  Even if you cut the throttle, the ship will drift (often in odd angles).  This means you might begin a test at a range of 15.00km but by the end and the angle of fire has drifted, giving you a different aim point from the start.  Some ships drift worse than others.  I couldn't complete even an approximate dispersion map for Poltava because of how badly she slid about with her engines cut.  That means these kinds of plotting will only ever be approximate:

Yy9jBom.gif

These are 180 shells fired at 15km at a stationary Fuso.  The Fuso lacks camouflage and the guns are locked on.  Both firing ships drifted only slightly, but they still drifted.

Do ships still drift if they beach themselves?

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1 hour ago, Lege_ranger said:

:)

Do ships still drift if they beach themselves?

Yes.  They're pushed away from islands.

Edited by LittleWhiteMouse

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Nice work.

Your assumptions look like reasonable interpretations of the source material.  I've been looking for confirmation of the same assumptions (and info on vertical dispersion), but haven't found much more.

I think I've seen somewhere that they use a Gaussian distribution (not truncated), and reroll a with a uniform distribution if the value from the Gaussian was outside the ellipse.

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9 hours ago, Lege_ranger said:

For instance, shooting at a locked target at a range of 15km, 75% of Yamato's shells will fall up to about 47m away from where you aimed (to either left or right), while 75% of Thunderer's shells will fall up to almost 49m away.

Can you help me visualize how big that 47m/49m diameter circle would be when placed on top of a ship? Is that the difference between a superstructure hit, a citadel hit, and a splash on either side both short and long? Or smaller than that?

 

55 minutes ago, LittleWhiteMouse said:

Yes.  They're pushed away from islands.

Could the map borders be useful in eliminating the drift factor? For example have both ships drive into the left map border at 15km then cut speed to 1/4 and play with the rudder until neither ship moves closer/further from the other? 

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3 hours ago, Pseudovector said:

Nice work.

Your assumptions look like reasonable interpretations of the source material.  I've been looking for confirmation of the same assumptions (and info on vertical dispersion), but haven't found much more.

I think I've seen somewhere that they use a Gaussian distribution (not truncated), and reroll a with a uniform distribution if the value from the Gaussian was outside the ellipse.

If that is true, then it is in practice a truncated distribution. Industrial quality control works in a similar fashion, and the result is considered a truncated gaussian distribution.

One of the packages for truncated distributions mention it in the introduction, with examples of practical applications (https://www.jstatsoft.org/article/view/v016c02/v16c02.pdf):

"Truncated distributions arise in many practical situations, particularly in numerous industrial settings (Cho and Govindaluri 2002; Jeang 1997; Kapur and Cho 1994, 1996; Phillips and Cho 1998, 2000; Khasawneh, Bowling, Kaewkuekool, and Cho 2004, 2005). Final products are often subject to screening inspection before being sent to the customer. The usual practice is that if a product’s performance falls within certain tolerance limits, it is judged conforming and sent to thee customer. If it fails, a product is rejected and thus scrapped or reworked. In this case, the actual distribution to the customer is truncated."

We can now add gaming as an application.

3 hours ago, Mkatx5 said:

Can you help me visualize how big that 47m/49m diameter circle would be when placed on top of a ship? Is that the difference between a superstructure hit, a citadel hit, and a splash on either side both short and long? Or smaller than that?

I remember a post on the EU forums mentioning Fuso has a 212.75m length. That circle/ellipsoid with a 47m/49 radius (not diameter) would then be a bit less than half of the ship length.

https://forum.worldofwarships.eu/topic/59891-ship-size-comparisons/

In other words, if a ship of about 200m length is perfectly 90º broadside to you and you aim just at the center, it's expected that 75% of the shells will hit just about half of the ship, with about a 1/4 of the ship being to the left of that halve and another 1/4 part being to the right.

High tier battleships are larger than Fuso, you can expect something like the 47m/49m ellipsoid being 2/5 or less of the ship's length instead.

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Good work on your data analysis !  It's really interesting...........

Coming from a Six Sigma background, this discussion begs to ask of the veracity of your initial data and the environmental conditions you use as a baseline?  This can't be a linear solution because ships operate a lot like aircraft displaying Roll, Pitch and Yaw; and, those have to be accounted for at the very beginning of your analysis: did you actually measure ship movement (target and shooter)?  With stabilized gun platforms, which they were not using in WW2, you can measure the shooting ship's actual solutions for "level" but, as they found in the 1980's, the target..........well, is another story.  Not to mention weather and air currents.....  Yikes !  Talk about "variation"....  In the Aircraft business, the highest sigma value we ever saw was <1 sigma.........because variation in a 3D product is so great.....  Planes are NOT cell phone.   Battleships aren't planes but, they exist in an environment that moves unpredictability: what is the game's environmental engine producing that adds errors into fire control solutions?   Are these ship actually moving and if so, what is that metric???    You need that to calculate anything else....  I'm not sure "Measure" has reached a point of mathematical confidence and "Analyze" will only compound the errors unless those Measure conditions are understood.....   

Remember:  "On the up roll, FIRE" actually meant something......  Imagine how long it takes for a round to travel out the tube in 6 foot seas, with the ship traveling 12 knots.......  That's a lot of error that isn't linear...... 

 

 

Edited by Asym_KS

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13 hours ago, iDuckman said:

If I were to imagine, I'd say that the cross-section of the flight path of incoming shells would be made to conform to an ellipse a circle, and the published dispersion pattern a projection of that ellipse circle upon the sea surface.  Thus the vertical pattern (the projection) is not an ellipse and the vertical (major) axis is not symmetrical. 

 

9 hours ago, AJTP89 said:

I think vertical dispersion is a function of shell velocity and horizontal dispersion, because I believe WG has said (or people have proven) that higher velocity guns have worse vertical dispersion. However, shell velocity is a tricky thing to calculate, as it is done pretty realistically in game. And we don't have any firm measures of it. So yeah, kind of pointless to speculate.

 

14 hours ago, LittleWhiteMouse said:

This is very nice work.  The missing piece of the puzzle (which frustrates me to this day) is the vertical axis.  One would assume that the combination of ballistics plus a related (modified by ballistics) dispersion for the vertical axis would also exist but cornering Wargaming on this subject is like herding cats.

There was an interesting post on vertical dispersion by Sub_Octavian a couple of years ago.  I also originally just assumed that vertical dispersion was simply a function of horizontal dispersion, air drag, and muzzle velocity, but it seems there is an additional balancing factor - the horizontal to vertical dispersion ratio.  This ratio is something they tune on different ships to lengthen or shorten the vertical dispersion compared to the horizontal.  Obviously if horizontal dispersion increases, then so does vertical dispersion, after it has been modified by the relation.

Here's the interesting stuff from the linked post:

Dispersion ellipse is initially projected on your aiming plane, not on water. Shells are set to pass through it - see the picture with initial ellipse and real ellipse. In game that means that ships with better ballistics will have longer real ellipses - flatter shell trajectories result in real ellipse stretching more.

There are three stances of dispersion ellipse parameters (well, there are more technically, but only three are used). Between them, dispersion changes are lineal. The stances are: minimal dispersion (closest shooting distance), close dispersion (set around 4 km) and maximum dispersion. You can see horizontal dispersion for maximum range in Port, by the way.

For each stance, there are two parameters: horizontal dispersion and relation between horizontal and vertical dispersion. Relation may be used in balancing.

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6 hours ago, Mkatx5 said:

Could the map borders be useful in eliminating the drift factor? For example have both ships drive into the left map border at 15km then cut speed to 1/4 and play with the rudder until neither ship moves closer/further from the other? 

Continually reversing into the corner may be an aggravating but effective means to control drift, at the expense of a consistent heading.

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The model seems faithful to what's best-known, with one exception: there is a minimum dispersion value for each ship that sets a dispersion floor at closer ranges, so the actual function is only piecewise linear (and then constant within a certain range that I think varies by ship). Empirical validation would be great, of course.

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