Glossary of scale properties: Difference between revisions

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=== D ===

; [[distributional evenness]] (DE)

: A scale with two step sizes is ''distributionally even'' if it has its two step sizes distributed as evenly as possible

: A scale with two step sizes is ''distributionally even'' if it has its two step sizes distributed as evenly as possible.

=== E ===

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: The maximum [[#I|interval variety]] from all interval classes of a [[#P|periodic scale]].

; ~~Myhill's property and~~ MOS

; MOS

* A scale ~~has ''Myhill's property''~~ if there are ''~~exactly~~'' two interval sizes for each ~~(reduced)~~ interval class not including the equave. A ~~scale is~~ a ~~[[MOS~~ scale]] if there are ''~~no more than~~'' two interval sizes for each ~~generic~~ interval class not including the equave. ~~This is equivalent to~~ a scale ~~being Myhill~~ with ~~a smaller equave.~~ Myhill's property is ~~sometimes~~ called "strict ~~MOS"~~.

* A scale is a [[mos scale]] if there are ''no more than'' two interval sizes for each generic interval class not including the equave. A.k.a. maximum variety 2.

; Myhill's property

* A scale has ''Myhill's property'' if there are ''exactly'' two interval sizes for each interval class not including the equave. A.k.a. strict variety 2. A scale with Myhill's property is called a ''strict mos''.

=== N ===

@@ Line 46: / Line 46: @@
 === D ===
 ; [[distributional evenness]] (DE)
-: A scale with two step sizes is ''distributionally even'' if it has its two step sizes distributed as evenly as possible
+: A scale with two step sizes is ''distributionally even'' if it has its two step sizes distributed as evenly as possible.
 === E ===
@@ Line 76: / Line 76: @@
 : The maximum [[#I|interval variety]] from all interval classes of a [[#P|periodic scale]].
-; Myhill's property and MOS
+; MOS
-* A scale has ''Myhill's property'' if there are ''exactly'' two interval sizes for each (reduced) interval class not including the equave. A scale is a [[MOS scale]] if there are ''no more than'' two interval sizes for each generic interval class not including the equave. This is equivalent to a scale being Myhill with a smaller equave. Myhill's property is sometimes called "strict MOS".
+* A scale is a [[mos scale]] if there are ''no more than'' two interval sizes for each generic interval class not including the equave. A.k.a. maximum variety 2.
+; Myhill's property
+* A scale has ''Myhill's property'' if there are ''exactly'' two interval sizes for each interval class not including the equave. A.k.a. strict variety 2. A scale with Myhill's property is called a ''strict mos''.
 === N ===