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Here's a schedule that maybe fits your needs.
I presume your game usually generate a schedule with teams playing 3 3-games series in a row followed by a day off, not taking care of weekends. I have generated the schedule with the thinking of MLB. Every team play 2 3-games series a week with a series Friday to Sunday. The other series start either a Monday or a Tuesday, leaving Monday or Thursday off. Doing it this way the schedule might be longer than you expect (having, in average, an off day every week, or 6 games, instead of after 9 games). I hope you don't mind.
Regarding the matchups, I think you will be happy, it is quite random. Also, there are games everyday.
Here are the details:
20 team schedule, 54 games
Designed for the following configuration:
2 subleagues, each with 1 division of 10 teams
Team plays 54 games against other 9 teams in division (3H/3A)
No cases of more than 9 straight days without offday
No homestands or roadtrips longer than 9 games
Game times set at 7:05pm, Sunday games at 1:05pm
Season begins last Thursday on or after June 1
Season thus ends early August
All-Star Game set for Tuesday of 6 th week of season day 33 (early July)
I have not tested it... so let me know.
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