Rank-3 scale: Difference between revisions

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All GO scales of odd cardinality are MV3. The only GO scale of even cardinality is abac.
All GO scales of odd cardinality are MV3. The only GO scale of even cardinality is abac.


'''Conjecture:''' The only mirror-symmetric MV3 scales are abacaba (and its repetitions) and the scales of the form a...ba...c. Therefore the only MV3 scales that are mirror-symmetric are the only MV3 scales that are also 3-[[SN scales]] (introduced below).
'''Conjecture:''' The only mirror-symmetric MV3 scales are abacaba (and its repetitions) and the scales of the form aa...baa...c (and their repeititions). Therefore the only MV3 scales that are mirror-symmetric are the only MV3 scales that are also 3-[[SN scales]] (introduced below).


== Trivalent scales ==
== Trivalent scales ==