Ternary scale theorems: Difference between revisions
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# If ''n'' is singly even, then ''s'' is a [[interleaving|contrainterleaving]] of the two opposite chiralities of an odd-regular scale. | # If ''n'' is singly even, then ''s'' is a [[interleaving|contrainterleaving]] of the two opposite chiralities of an odd-regular scale. | ||
# If ''n'' is doubly even and > 4, then ''s'' is an [[interleaving]] of two copies of a smaller even-regular scale. | # If ''n'' is doubly even and > 4, then ''s'' is an [[interleaving]] of two copies of a smaller even-regular scale. | ||
# If ''n'' = 4, then ''s'' is an interleaving of a 2-note MOS. | # If ''n'' = 4, then ''s'' = '''xyxz''' is an interleaving of a 2-note MOS. | ||
=== Proof === | === Proof === | ||
Statement 3 is trivial and is included for completeness. | Statement 3 is trivial and is included for completeness. | ||