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 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.


Examples of scale families include:
===[[Fokker block]]s===


* [[Cartesian scale|Cartesian scales]]
===[[Euler-Fokker genus|Euler-Fokker genera]]===
* [[Chord cubes]]
 
* [[Clippers]]
===[[Cartesian scale]]s===
* [[Combination product sets]]
 
** [[Hexany|Hexanies]]
===[[Tonality diamond]]s===
* [[Compound scale|Compound scales]]
 
* [[Crystal balls]]
===[[Breed diamonds]]===
* [[Dwarves]]
 
** [[Especially tempered dwarves]]
===[[Diaconv scales]]===
** [[Marvelous dwarves]]
 
* [[Elves]]
===[[Scale products and scale powers]]===
* [[List of essentially tempered scales|Essentially tempered scales]]
 
* [[Euler-Fokker genus|Euler-Fokker genera]]
===[[Combination product sets]]===
* [[Fokker block]]s
 
* [[Harmonotonic tuning|Harmonotonic tunings]]
===[[Dwarves]]===
** [[Arithmetic tuning|Arithmetic tunings]]
 
*** [[Equal-step tuning|Equal-step tunings]]
===[[Marvelous dwarves]]===
**** [[EDO|Equal divisions of the octave (EDOs)]]
 
*** [[Overtone scales]]
===[[Especially tempered dwarves]]===
**** [[Primodality|Primodal scales]]
 
* [[Highschool scales]]
===[[Elves]]===
* [[Hobbits]]
 
** [[MOS scale|Moment of symmetry scales]]
===[[Hobbits]]===
* [[Homothetic just intonation|Homothetic JI scales]]
 
* [[Lesfip scales]]
===[[Clippers]]===
* [[Maximal harmony epimorphic scales]]
 
* [[Omniconsonant scale|Omniconsonant scales]]
===[[Maximal harmony epimorphic scales]]===
* [[Scale products and scale powers]]
 
* [[Tonality diamond|Tonality diamonds]]
===[[Lesfip scales]]===
** [[Breed diamonds]]
 
** [[Diaconv scales]]
===[[Highschool scales]]===
* [[Xenharmonic series]]
 
* [[Yantras]]
===[[Crystal balls]]===
 
===[[Chord cubes]]===
 
===[[List of essentially tempered scales|Essentially tempered scales]]===
 
===[[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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