Ternary scale theorems: Difference between revisions
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# A balanced primitive ternary scale is SV3 if and only if it is not diregular. | # A balanced primitive ternary scale is SV3 if and only if it is not diregular. | ||
# Regular balanced primitive ternary scales have a generator sequence of period 2. | # Regular balanced primitive ternary scales have a generator sequence of period 2. | ||
(Condensed: All single-period balanced ternary scales that are not the Fraenkel word are a'''X''' a'''Y''' b'''Z'''. In this case, if b is odd, then the scale is regular. If b is even, then the scale is irregular.) | |||
=== Theorem 7.2 (Classification of MV3 scales) === | === Theorem 7.2 (Classification of MV3 scales) === | ||