We have an odd number of teams (29) for a golf league. Not sure this complicates things as the tables show calculations for even number of teams and we do not want any byes as it's just a 10 week/match season.
With 29 teams, in each week, you can have one of these:
- 14 pairs + 1 sitout (you have excluded this possibility)
- 14 pairs + 1 solo
- 13 pairs + 1 threeway
If you plan with a solo, select 10 rounds from a 30 item balanced schedule. Whoever plays team 1 is the solo for that week.
If you plan with a threeway AND you have
one team (call it F) that agrees to float each week then consider using the 28 items cyclic schedule. In rounds 1 through 10, place F as the third in matches 1, 3, 5, 2, 4, 9, 11, 14, 2. F takes on the onus of tripling each week, but always plays against different teams.
If instead, you want to spread the tripling evenly out amongst all the teams, I think it is a much harder problem. Here is one way, but might not be the most evenly spread out. Look at the 30 item balanced schedule. '1' is a ghost and does not play. Select the first 10 rounds. In each round whoever is paired with '1' is moved to Match 1 for a triple. With this scheme, these seven teams have to triple twice over the course of the season: 2, 3, 5, 14, 18, 21, 27.
You could also look at 30 item cyclic and move the team paired with '1' to the last match for the triple.
