Generator-offset property: Difference between revisions
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=== Theorem 4 (Classification of PWF scales) === | === Theorem 4 (Classification of PWF scales) === | ||
Let ''S'' | Let ''S'' be a PWF ternary scale word. Then ''S'' is abstractly SV3 and has an odd number of notes. Moreover, ''S'' is either GO or equivalent to the scale word abacaba. | ||
==== Proof ==== | ==== Proof ==== | ||
===== If the generator of a projection of ''S'' is a ''k''-step, the word of stacked ''k''-steps in ''S'' is PWF ===== | ===== If the generator of a projection of ''S'' is a ''k''-step, the word of stacked ''k''-steps in ''S'' is PWF ===== | ||