Monotone-MOS property: Difference between revisions
From Xenharmonic Reference
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| A [[ternary scale]] in L > M > s > 0 is '''monotone-MOS''' if it becomes a MOS under all three of the identifications L = M, M = s, and s = 0. If ''any'' (not necessarily all) of the identifications make the scale a MOS, the scale is said to ''satisfy '''a''' monotone-MOS condition''.
| | #redirect [[Aberrisma#Glossary]] |
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| The monotone-MOS conditions are used in [[aberrismic theory]]. An aberrismic scale is required to satisfy the s = 0 monotone-MOS condition and at least one other monotone-MOS condition.
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| Both [[odd-regular]] and [[even-regular]] MV3 scales satisfy all 3 properties and hence are monotone-MOS. However, scales that are monotone-MOS need not be odd-regular, even-regular or MV3; a counterexample is the 7L10m5s scale LmmLsmLmsLmmLsmLmsmLms (which is, however, a [[MOS substitution]] scale subst 7L(10m5s)).
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| The term ''monotone-MOS'' was coined by Tom Price.
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| [[Category:Aberrismic terms]]
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Latest revision as of 21:38, 17 December 2025
