Generator-offset property: Difference between revisions

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By Theorem 4, this conjecture would follow from proving that such scales are PWF.
By Theorem 4, this conjecture would follow from proving that such scales are PWF.
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==== Conjecture 2 ====
==== Conjecture 2 ====
If a 3-step size scale word is  
If a 3-step size scale word ax by cz is unconditionally SV3 (strict variety 3, i.e. every k-step except multiples of the equave comes in ''exactly'' 3 sizes), then two of a, b, c are equal.
# unconditionally SV3 (strict variety 3, i.e. every k-step except multiples of the equave comes in ''exactly'' 3 sizes)
# has ''even'' length, and
# is not of the form ''mx my mz'',
then it is of the form ''W''(''x'', ''y'', ''z'')''W''(''y'', ''x'', ''z'') for some word ''W'' in 3 variables.-->


=== Conjecture ("MV3 Sequences") ===
=== Conjecture ("MV3 Sequences") ===