2**n teams are not mandatory
... ... ...
copyright (c) 1998 William C. Corwin; billc@issi1.com including permutations derived from this solution
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patterns for twice an odd number, 6 thru 38, of teams ...For 6 teams... ...For 10 teams... ...For 14 teams... ...For 18 teams... ...For 20 teams... use this twice ! ...For 22 teams...
...For 24 teams... ...For 26 teams... ...For 28 teams... ...For 30 teams... ...For 34 teams...

The Schedule for 12 teams can easlily be constructed using the 6 team schedule.
The same for all multiples of 4.