Monotone-MOS scale: Difference between revisions

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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.
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.


[[Regular MV3 scale]]s and [[diregular scale]]s satisfy all 3 properties and hence are monotone-MOS, from the stronger property that they are both [[pairwise-MOS]] and [[deletion-MOS scale]]s. However, scales that are monotone-MOS need not be regular, diregular or MV3; a counterexample is the 7L10m5s scale LmmLsmLmsLmmLsmLmsmLms.
Both [[Odd-regular MV3 scale|odd-regular]] and [[even-regular MV3 scale|even-regular]] MV3 scales satisfy all 3 properties and hence are monotone-MOS, from the stronger property that they are both [[pairwise-MOS]] and [[deletion-MOS scale]]s. 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)).


The term ''monotone-MOS'' was coined by Tom Price.
The term ''monotone-MOS'' was coined by Tom Price.


[[Category:Aberrismic theory]]
[[Category:Aberrismic theory]]