Families of scales: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
mNo edit summary
No edit summary
 
(63 intermediate revisions by one other user not shown)
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 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]]
 
** [[Dekany|Dekanies]]
===[[Tonality diamond]]s===
** [[Eikosany|Eikosanies]]
 
** [[Hexany|Hexanies]]
===[[Breed diamonds]]===
** [[Pentadekany|Pentadekanies]]
 
* [[Compound scale|Compound scales]]
===[[Diaconv scales]]===
* [[Crystal balls]]
 
* [[Dwarves]]
===[[Scale products and scale powers]]===
** [[Especially tempered dwarves]]
 
** [[Marvelous dwarves]]
===[[Combination product sets]]===
* [[Elves]]
 
* [[List of essentially tempered scales|Essentially tempered scales]]
===[[Dwarves]]===
* [[Euler-Fokker genus|Euler-Fokker genera]]
 
* [[Fokker block]]s
===[[Marvelous dwarves]]===
* [[Harmonotonic tuning|Harmonotonic tunings]]
 
** [[Arithmetic tuning|Arithmetic tunings]]
===[[Especially tempered dwarves]]===
*** [[Equal-step tuning|Equal-step tunings]]
 
**** [[EDO|Equal divisions of the octave (EDOs)]]
===[[Elves]]===
*** [[Overtone scales]]
 
**** [[Primodality|Primodal scales]]
===[[Hobbits]]===
* [[Highschool scales]]
 
* [[Hobbits]]
===[[Clippers]]===
** [[MOS scale|Moment of symmetry scales]]
 
* [[Homothetic just intonation|Homothetic JI scales]]
===[[Maximal harmony epimorphic scales]]===
* [[Lesfip scales]]
 
* [[Maximal harmony epimorphic scales]]
===[[Lesfip scales]]===
* [[Omniconsonant scale|Omniconsonant scales]]
 
* [[Scale products and scale powers]]
===[[Highschool scales]]===
* [[Tonality diamond|Tonality diamonds]]
 
** [[Breed diamonds]]
===[[Crystal balls]]===
** [[Diaconv scales]]
 
* [[Xenharmonic series]]
===[[Chord cubes]]===
* [[Yantras]]
 
===[[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
Retrieved from "https://en.xen.wiki/index.php?title=Families_of_scales&oldid=189541"