Ternary parallelogram scales are MOS substitution: Difference between revisions

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This article proves the following theorem:
This article proves the following theorem:


''Ternary parallelogram scale words are [[MOS substitution]] scale words, where the period count (gcd of step signature) of the template MOS is the number of rows of the parallelogram parallel to the unique step parallel to an axis.''
''Ternary parallelogram scale words are [[MOS substitution]] scale words, where the period count (gcd of step signature) of the template MOS is the number of rows of the parallelogram parallel to the unique step parallel to a side of the parallelogram.''
== Definitions ==
== Definitions ==
=== Pitch-class group ===
=== Pitch-class group ===