12TET Musical 3-Interval-String/6-Interval Cell/Set Non-Redundancy Permutation Ordering Problem:

I'm a non-computer-programmer working on a permutation/ordered set

problem by hand and was wondering if anybody out there can help me

with the problem.

The goal is to create 30 6-interval (containing all 6 of the 6 smaller

forms of the 6 12TET interval classes [1,2,3,4,5,6 semitones]) ordered

sets, which also internally contain all 120 possible orderings of 3 of

the 6 intervals.

I've done 3 passes so far by hand, and have only been able to produce

25 of the 30 cells before hitting a brick wall.

to respond privately. Thanks.

Bill Flavell