Parallelogram substring scale: Difference between revisions

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== Ternary scales with this property ==
== Ternary scales with this property ==
* All non-Fraenkel balanced MV3 scales
* All non-Fraenkel balanced MV3 scales
* All aX(bY (a-b)Z) MOS substitution scales
* All ''a'''''x'''(''b'''''y'''(''a'' - ''b'')'''z''') MOS substitution scales
* All MOS substitution scales where:
** The template MOS is primitive
** There exists a pair (''g'', ''h'') where:
**# ''g'' is a generator of the template MOS
**# ''h'' is a generator of the filling MOS
**# |''g''|<sub>'''X'''</sub> = |''h''|
Conjecture: All ternary quasi-parallelogram scales are MOS substitution scales.
Conjecture: All ternary quasi-parallelogram scales are MOS substitution scales.