There are two "rest days" before the playoffs start. If you have a 7-game Semi, there is no rest day. If you win in 6, you have one rest day; win in 5, 2 rest days; sweep and get 3 rest days.......... I think my math is right.......
If you ever forget how the "rest days" before the semis and finals works you can click on the "per game starters" link that you use to assign your starting pitchers and you will see the rest days.