Monotone-MOS scale: Difference between revisions
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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 | 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''. | ||
[[Regular MV3 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. | 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. | |||
The term ''monotone-MOS'' was coined by Tom Price. | The term ''monotone-MOS'' was coined by Tom Price. | ||
[[Category:Aberrismic theory]] | [[Category:Aberrismic theory]] | ||
Revision as of 16:55, 3 December 2024
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.
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 scales and diregular scales satisfy all 3 properties and hence are monotone-MOS, from the stronger property that they are both pairwise-MOS and deletion-MOS scales. However, scales that are monotone-MOS need not be regular, diregular or MV3; a counterexample is the 7L10m5s scale LmmLsmLmsLmmLsmLmsmLms.
The term monotone-MOS was coined by Tom Price.