2**n teams are not mandatory
... ... ...
copyright (c) 1998 William C. Corwin; Corwin????@gmail.com including permutations derived from this solution
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In any case credit and reference must be given.

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...For 6 teams... ...For 10 teams... ...For 12 teams... ...For 14 teams... ...For 18 teams... ...For 20 teams...
...For 22 teams... ...For 24 teams... ...For 26 teams... ...For 28 teams... ...For 30 teams... ...For 32 teams... ...For 34 teams... ...For 38 teams...
...For 34 teams... ...For 38 teams... ...For 40 teams... ...For 42 teams... ...For 44 teams... ...For 50 teams...
The Schedule for 12 teams can easlily be constructed using the 6 team schedule.
The same for all multiples of 4.