Rank-3 scale: Difference between revisions

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3-SN scales are generated from MOS scales, and 4-SN scales are generated from 3-SN scales, etc.
3-SN scales are generated from MOS scales, and 4-SN scales are generated from 3-SN scales, etc.


Conjecture: The only SN scale that is trivalent is abacaba.
'''Conjecture''': The only SN scale that is trivalent is abacaba.


Conjecture: The only SN scales that are MV3 are abacaba, and scales of the form a…ba…c.
'''Conjecture''': The only SN scales that are MV3 are abacaba, and scales of the form a…ba…c.


Conjecture: The only SN scales that are MV3, and have mean variety < 3 are those of the form aa…baa…c.
'''Conjecture''': The only SN scales that are MV3, and have mean variety < 3 are those of the form aa…baa…c.


See [[Gallery of 3-SN scales]] for examples of 3-SN scales.
See [[Gallery of 3-SN scales]] for examples of 3-SN scales.