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Let me know if this plan is okay:
Have teams play 5-game series, with 1 per week. With 4 teams there are two such series per week. One series plays its first game on Tuesday and the other series plays its first game on Wednesday. Then both series have games on Thu, Fri, Sat, and Sun.
A small problem is the mid-season break. The most convenient thing to do in that case is to put both first games of that week's series on Wednesday. That only gives one more league-wide offday (Tue) in addition to the regular Monday, but it makes it easy to maintain the overall series pattern.
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