Monotone-MOS scale: Difference between revisions
No edit summary |
No edit summary |
||
| Line 3: | Line 3: | ||
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. | [[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 (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]] | ||