In case anyone is wondering how many games it would take them to rank out, I figured out a simple formula for you. The formula calculates the number of games from rank 16 since up to that point, no stars are lost. To progress from rank 16 to 1 requires 51 stars (previously stated as 55, corrected to 51 thanks to ckupf). Therefore, the total number of games can be calculated as follows:
Total games = 51 / (2*WP - 1 + TP*(1-WP))
where WP = win percent and TP = top percent (percent of times when you are the top XP earner in a loss)
In a 7v7 match, your chance of being top XP earner in a loss is nominally 1/7 or 14.3%. You can adjust this according to your own level of play.
WP = 52%, TP = 14.3% (nominal), total games = 469
WP = 54%, TP = 20% (better than avg), total games = 296
Now for those of you who are close to ranking out the current season and would like to know how many more games it might take according to your current stats, you would need to determine your TP as follows:
TP = (SC - TG*(2*WP-1)) / (TG*(1-WP))
where SC = stars count accumulated from rank 16 (or 51 - stars remaining until rank 1), TG = total games played this season.
Once you determine your TP, WP is known therefore if both remain constant, you could estimate the number of games remaining by calculating total games with the first formula then subtracting the games already played.
I hope this thought experiment is useful to someone.
Edits shown in BOLD
Edited by Bronco, 20 March 2017 - 07:37 PM.