Glossary of scale properties: Difference between revisions

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A simplified explanation of the various properties of [[periodic scale]]s.

A simplified explanation of the various properties of [[periodic scale]]s. Also check the main [[Glossary]].

{{TOC Horizontal

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=== H ===

=== I ===

~~; [[interval variety]]~~

~~: The number of different interval qualities available for an interval class in a [[#P|periodic scale]].~~

=== J ===

=== K ===

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; [[maximum variety]] (MV)

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

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

; MOS

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=== S ===

; [[strict variety]] (SV)

: The [[~~#I|~~interval variety]] of all interval classes of a [[#P|periodic scale]], when all interval classes have the same interval variety.

: The [[interval variety]] of all interval classes of a [[#P|periodic scale]], when all interval classes have the same interval variety.

; symmetry

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; trivalence property

: Same as Myhill's property, but replace "two interval sizes" with "three interval sizes." The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.

: Same as [[#M|Myhill's property]], but replace "two interval sizes" with "three interval sizes". A.k.a. strict variety 3. The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.

=== U ===

@@ Line 1: / Line 1: @@
-A simplified explanation of the various properties of [[periodic scale]]s.
+A simplified explanation of the various properties of [[periodic scale]]s. Also check the main [[Glossary]].
 {{TOC Horizontal
@@ Line 63: / Line 63: @@
 === H ===
 === I ===
-; [[interval variety]]
-: The number of different interval qualities available for an interval class in a [[#P|periodic scale]].
 === J ===
 === K ===
@@ Line 74: / Line 71: @@
 ; [[maximum variety]] (MV)
-: The maximum [[#I|interval variety]] from all interval classes of a [[#P|periodic scale]].
+: The maximum [[interval variety]] from all interval classes of a [[#P|periodic scale]].
 ; MOS
@@ Line 105: / Line 102: @@
 === S ===
 ; [[strict variety]] (SV)
-: The [[#I|interval variety]] of all interval classes of a [[#P|periodic scale]], when all interval classes have the same interval variety.
+: The [[interval variety]] of all interval classes of a [[#P|periodic scale]], when all interval classes have the same interval variety.
 ; symmetry
@@ Line 115: / Line 112: @@
 ; trivalence property
-: Same as Myhill's property, but replace "two interval sizes" with "three interval sizes." The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.
+: Same as [[#M|Myhill's property]], but replace "two interval sizes" with "three interval sizes". A.k.a. strict variety 3. The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.
 === U ===