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. Examples of scale families are [[EDO|EDOs]], [https://en.xen.wiki/w/Equal-step_tuning equal-step tunings], [[MOSScales|MOS]], and [[Fokker blocks]]. Below are some further scale families.
A ''family of scales'' is a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are [[EDO]]<nowiki/>s, [https://en.xen.wiki/w/Equal-step_tuning equal-step tunings], [[MOSScales|MOS]], and [[Fokker blocks]]. Below are some further scale families.
 
===[[Fokker block]]s===
 
===[[Euler-Fokker genus|Euler-Fokker genera]]===
 
===[[Cartesian scale]]s===
 
===[[Tonality diamond]]s===
 
===[[Breed diamonds]]===
 
===[[Diaconv scales]]===
 
===[[Scale products and scale powers]]===


===[[Arithmetic tuning|Arithmetic tunings]]===
====[[EDO|Equal divisions of the octave (EDOs)]]====
====[[Overtone scales]]====
=====[[Primodality|Primodal scales]]=====
===[[Cartesian scale|Cartesian scales]]===
===[[Chord cubes]]===
===[[Clippers]]===
===[[Combination product sets]]===
===[[Combination product sets]]===
===[[Compound scale|Compound scales]]===
 
===[[Crystal balls]]===
===[[Dwarves]]===
===[[Dwarves]]===
====[[Marvelous dwarves]]====
 
===[[Marvelous dwarves]]===
 
===[[Especially tempered dwarves]]===
 
===[[Elves]]===
===[[Elves]]===
===[[Especially tempered dwarves]]===
 
===[[Euler-Fokker genus|Euler-Fokker genera]]===
===[[Fokker block]]s===
===[[Highschool scales]]===
===[[Hobbits]]===
===[[Hobbits]]===
====[[MOSScale|Moment of symmetry scales]]====
 
===[[Homothetic just intonation|Homothetic JI scales]]===
===[[Clippers]]===
 
===[[Maximal harmony epimorphic scales]]===
 
===[[Lesfip scales]]===
===[[Lesfip scales]]===
===[[Highschool scales]]===
===[[Crystal balls]]===
===[[Chord cubes]]===
===[[List of essentially tempered scales|Essentially tempered scales]]===
===[[List of essentially tempered scales|Essentially tempered scales]]===
===[[Maximal harmony epimorphic scales]]===
 
===[[Omniconsonant scale|Omniconsonant scales]]===
===[[Scale products and scale powers]]===
===[[Tonality diamond|Tonality diamonds]]===
====[[Breed diamonds]]====
====[[Diaconv scales]]====
===[[Xenharmonic series]]===
===[[Yantras]]===
===[[Yantras]]===
===[[Overtone scales]]===
{{todo|inline=1|rework|review heading structure|improve layout|improve synopsis}}


[[Category:Scales by family| ]] <!-- main article -->
[[Category:Scales by family| ]] <!-- main article -->
[[Category:Lists of scales]]
[[Category:Lists of scales]]
[[category:todo:expand]]

Latest revision as of 02:28, 2 April 2025

A family of scales is a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are EDOs, equal-step tunings, MOS, and Fokker blocks. Below are some further scale families.

Fokker blocks

Euler-Fokker genera

Cartesian scales

Tonality diamonds

Breed diamonds

Diaconv scales

Scale products and scale powers

Combination product sets

Dwarves

Marvelous dwarves

Especially tempered dwarves

Elves

Hobbits

Clippers

Maximal harmony epimorphic scales

Lesfip scales

Highschool scales

Crystal balls

Chord cubes

Essentially tempered scales

Yantras

Overtone scales

Todo: rework , review heading structure, improve layout, improve synopsis
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