I am hoping this will reach Michael Edwards. Your post re. 351 possible scales is very thorough, and one of the very few discussions I've been able to find on musical material and combinatorics. Have you seen "The Scale-Chord Synopticon?" It is a VERY sytematic study of scales, chords, modes, etc. and employs a definition of scales much like yours.
    I've been playing with circular patterns in music for some time, and I've added your post to my references. If you've taken this any further, please drop me a line.
Douglas Baldwin, coyote-at-large
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