Ian, I really appreciate it, thank you so much!
I spent a few hours populating my spreadsheets using your numbers (for the 20 players, 4 courts versions...5/6/7 game options). You're right, the only version that is "fair" is the 5 game option, where each player gets 1 "bye" (or in the case of this particular tournament structure--where players get ranked based on wins and score differentials--each player "sits" 1 game and plays 4). The only way to get the 6/7 game versions to "work" (where 4/8 players would "sit" twice) would be to use the scoring system (of games won and score differentials) for the first 5 games...and then use game(s) 6 as "Playoffs" before a 7th "Finals" game(s)...but I don't think that's even possible because in order for all 20 players to play their 5 games (and get ranked), the full 7 games would need to be played (as there would be "sitting" by some players starting from game 1), so getting a ranking for all players based on wins/differentials would require all 7 games to be played before seeing which players are ranked highest/lowest.
In summary, I think I will use the
20 PLAYERS • 4 COURTS • 5 GAMES option when needed...and manually figure out a "Playoffs" and "Finals" segment once the "Pool Play" of 5 games has concluded.
Going forward, if time still permits (using your software) to see if a
24 PLAYERS • 4 COURTS • 5/6/7 GAMES format would balance out, I would be very grateful.
Also, now that I can visually see the challenges of having "fair" whist lists with a lower number of courts than what would allow all players to play simultaneously, I believe it should be more straightforward to have a version of these whist lists for the following formats, if and when you have the time! Thank you!
- 20 PLAYERS (10 TEAMS OF 2) • 5 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.
- 24 PLAYERS (12 TEAMS OF 2) • 6 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.
(If the 5/6 game options would use the same pairings as the 7 game options, I can omit games 6/7 to get those versions...if that would make it easier for you to populate the numbers.)
Thank you again,
Nathan