Trimming your original 30 teams more fairly, it is pretty easy to come up with a fair arrangement where each player gets to play on 5 teams. For example: 

AGMS BIKR CFNQ DHLP EJOT UVWX
AHOQ AKPU ALTW ANRV BCDE BHTU
BJPX BLQV CHMW CIPV CJSU DGOR
DINX DJKQ EGNW EHKS EIMU FGIJ
FLRX FMTV FOSW GKTX LMNO PQRS

[download]

I strongly doubt that such can be broken into "rounds", however.

- tye        

In reply to Re^2: Unique Combos with Math::Combinatorics (fair 5) by tye
in thread Unique Combos with Math::Combinatorics by ketema

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