Generator-offset property: Difference between revisions
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== Theorems == | == Theorems == | ||
=== Proposition 1 (Properties of SGA scales) === | === Proposition 1 (Properties of SGA scales) === | ||
Let ''S'' be a 3-step-size scale word in L, M, and s, and suppose ''S'' is SGA. Then: | Let ''S'' be a 3-step-size scale word in L, M, and s of length n, and suppose ''S'' is SGA. Then: | ||
# ''S'' is abstractly SV3 (i.e. SV3 for almost all tunings). | # ''S'' is abstractly SV3 (i.e. SV3 for almost all tunings). | ||
# ''S'' is of the form ''ax by bz'' for some permutation (''x'', ''y'', ''z'') of (L, M, s). | # ''S'' is of the form ''ax by bz'' for some permutation (''x'', ''y'', ''z'') of (L, M, s). | ||