Families of scales: Difference between revisions

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~~By a~~ ''family of scales'' is ~~meant~~ a ~~certain set~~ of scales, finite or infinite, generated according to a regular and exactly specified method.

A '''family of scales''' is a collection of scales, finite or infinite, generated according to a regular and exactly specified method.

~~Examples~~ of scale families ~~include:~~

== List of scale families ==

* [[Equal-step tuning]]s (including [[EDO]]s)

* [[~~Cartesian scale|Cartesian scales~~]]

* [[Moment of symmetry]] (MOS) scales

* [[~~Chord cubes~~]]

* [[Generator-offset]] (GO) scales

* [[~~Clippers~~]]

* [[Fokker block]]s

* [[~~Combination product sets~~]]

* [[Euler-Fokker genus|Euler-Fokker genera]]

** [[~~Dekany~~|~~Dekanies~~]]

* [[Cartesian scale]]s

** [[~~Eikosany|Eikosanies~~]]

* [[Tonality diamond]]s

** [[~~Hexany|Hexanies~~]]

* [[Breed diamonds]]

** [[~~Pentadekany|Pentadekanies~~]]

* [[Diaconv scales]]

* [[~~Compound~~ scale~~|Compound scales~~]]

* [[Scale products and scale powers]]

* [[~~Crystal balls~~]]

* [[Combination product set]]s

* [[Dwarves]]

** [[~~Especially tempered~~ dwarves]]

* [[Marvelous dwarves]]

** [[~~Marvelous~~ dwarves]]

* [[Especially tempered dwarves]]

* [[Elves]]

* [[List of essentially tempered scales|Essentially tempered scales]]

* [[Euler-Fokker genus|Euler-Fokker genera]]

* [[Fokker block]]s

* [[Harmonotonic tuning|Harmonotonic tunings]]

** [[Arithmetic tuning|Arithmetic tunings]]

*** [[Equal-step tuning|Equal-step tunings]]

**** [[EDO|Equal divisions of the octave (EDOs)]]

*** [[Overtone scales]]

**** [[Primodality|Primodal scales]]

* [[Highschool scales]]

* [[Hobbits]]

** [[~~MOS scale|Moment of symmetry scales~~]]

* [[Clippers]]

* [[~~Homothetic just intonation|Homothetic JI~~ scales]]

* [[Maximal harmony epimorphic scales]]

* [[Lesfip scales]]

* [[~~Maximal harmony epimorphic~~ scales]]

* [[Highschool scales]]

* [[~~Omniconsonant scale|Omniconsonant scales~~]]

* [[Crystal balls]]

* [[~~Scale products and scale powers~~]]

* [[Chord cubes]]

* [[~~Tonality diamond~~|~~Tonality diamonds]]~~

* [[List of essentially tempered scales|Essentially tempered scales]]

** [[Breed diamonds]]

** [[Diaconv scales]]

* [[Xenharmonic series]]

* [[Yantras]]

* [[Overtone scales]]

{{todo|inline=1|complete list|improve layout|comment=Maybe turn this list into a glossary with a short description below each scale family?}}

[[Category:Scales by family| ]]

[[Category:Lists of scales]]

~~[[category:todo:expand]]~~

@@ Line 1: / Line 1: @@
-By a ''family of scales'' is meant a certain set of scales, finite or infinite, generated according to a regular and exactly specified method.
+A '''family of scales''' is a collection of scales, finite or infinite, generated according to a regular and exactly specified method.
-Examples of scale families include:
+== List of scale families ==
+* [[Equal-step tuning]]s (including [[EDO]]s)
-* [[Cartesian scale|Cartesian scales]]
+* [[Moment of symmetry]] (MOS) scales
-* [[Chord cubes]]
+* [[Generator-offset]] (GO) scales
-* [[Clippers]]
+* [[Fokker block]]s
-* [[Combination product sets]]
+* [[Euler-Fokker genus|Euler-Fokker genera]]
-** [[Dekany|Dekanies]]
+* [[Cartesian scale]]s
-** [[Eikosany|Eikosanies]]
+* [[Tonality diamond]]s
-** [[Hexany|Hexanies]]
+* [[Breed diamonds]]
-** [[Pentadekany|Pentadekanies]]
+* [[Diaconv scales]]
-* [[Compound scale|Compound scales]]
+* [[Scale products and scale powers]]
-* [[Crystal balls]]
+* [[Combination product set]]s
 * [[Dwarves]]
-** [[Especially tempered dwarves]]
+* [[Marvelous dwarves]]
-** [[Marvelous dwarves]]
+* [[Especially tempered dwarves]]
 * [[Elves]]
-* [[List of essentially tempered scales|Essentially tempered scales]]
-* [[Euler-Fokker genus|Euler-Fokker genera]]
-* [[Fokker block]]s
-* [[Harmonotonic tuning|Harmonotonic tunings]]
-** [[Arithmetic tuning|Arithmetic tunings]]
-*** [[Equal-step tuning|Equal-step tunings]]
-**** [[EDO|Equal divisions of the octave (EDOs)]]
-*** [[Overtone scales]]
-**** [[Primodality|Primodal scales]]
-* [[Highschool scales]]
 * [[Hobbits]]
-** [[MOS scale|Moment of symmetry scales]]
+* [[Clippers]]
-* [[Homothetic just intonation|Homothetic JI scales]]
+* [[Maximal harmony epimorphic scales]]
 * [[Lesfip scales]]
-* [[Maximal harmony epimorphic scales]]
+* [[Highschool scales]]
-* [[Omniconsonant scale|Omniconsonant scales]]
+* [[Crystal balls]]
-* [[Scale products and scale powers]]
+* [[Chord cubes]]
-* [[Tonality diamond|Tonality diamonds]]
+* [[List of essentially tempered scales|Essentially tempered scales]]
-** [[Breed diamonds]]
-** [[Diaconv scales]]
-* [[Xenharmonic series]]
 * [[Yantras]]
+* [[Overtone scales]]
+{{todo|inline=1|complete list|improve layout|comment=Maybe turn this list into a glossary with a short description below each scale family?}}
 [[Category:Scales by family| ]] <!-- main article -->
 [[Category:Lists of scales]]
-[[category:todo:expand]]