Families of scales: Difference between revisions

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


* [[Cartesian scale|Cartesian scales]]
'''Just Intonation'''
* [[Chord cubes]]
* [[Just intonation|Just intonated scales]]
* [[Clippers]]
**[[Chord cubes]]
* [[Combination product sets]]
**[[Combination product sets]]
** [[Dekany|Dekanies]]
***[[Dekany|Dekanies]]
** [[Eikosany|Eikosanies]]
***[[Eikosany|Eikosanies]]
** [[Hexany|Hexanies]]
***[[Hexany|Hexanies]]
** [[Pentadekany|Pentadekanies]]
***[[Pentadekany|Pentadekanies]]
* [[Compound scale|Compound scales]]
**[[Crystal balls]]
* [[Crystal balls]]
**[[Highschool scales]]
* [[Dwarves]]
**[[Homothetic just intonation|Homothetic JI scales]]
** [[Especially tempered dwarves]]
**[[Overtone scales]]
** [[Marvelous dwarves]]
***[[Primodality|Primodal scales]]
* [[Elves]]
**[[Tonality diamond|Tonality diamonds]]
* [[List of essentially tempered scales|Essentially tempered scales]]
***[[Breed diamonds]]
* [[Euler-Fokker genus|Euler-Fokker genera]]
***[[Diaconv scales]]
* [[Fokker block]]s
 
* [[Harmonotonic tuning|Harmonotonic tunings]]
'''Temperament'''
** [[Arithmetic tuning|Arithmetic tunings]]
*[[Temperament|Temperaments]]
*** [[Equal-step tuning|Equal-step tunings]]
**[[Clippers]]
**** [[EDO|Equal divisions of the octave (EDOs)]]
**[[Dwarves]]
*** [[Overtone scales]]
***[[Especially tempered dwarves]]
**** [[Primodality|Primodal scales]]
***[[Marvelous dwarves]]
* [[Highschool scales]]
**[[Elves]]
* [[Hobbits]]
**[[List of essentially tempered scales|Essentially tempered scales]]
** [[MOS scale|Moment of symmetry scales]]
**[[Hobbits]]
* [[Homothetic just intonation|Homothetic JI scales]]
***[[MOS scale|Moment of symmetry scales]]
* [[Lesfip scales]]
**[[Lesfip scales]]
* [[Maximal harmony epimorphic scales]]
**[[Regular temperament|Regular temperaments]]
* [[Omniconsonant scale|Omniconsonant scales]]
*** [[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]]
* [[Scale products and scale powers]]
**** [[EDO|Equal divisions of the octave (EDOs or ED2s)]]
* [[Tonality diamond|Tonality diamonds]]
**** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
** [[Breed diamonds]]
**** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
** [[Diaconv scales]]
**** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
* [[Xenharmonic series]]
**** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
* [[Yantras]]
**** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
**** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
**** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
**** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
**** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
**** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
**** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
**** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
**** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
*** [[Rank-2 temperament|Rank-2 temperaments]] / [[Linear temperament|Linear temperaments]]
****[[Linear temperament|Moment of symmetry scales]]
*** [[Rank-3 temperament|Rank-3 temperaments]]
*** [[Rank-4 temperament|Rank-4 temperaments]]
 
'''Harmonotonicity'''
*[[Harmonotonic tuning|Harmonotonic tunings]]
**[[Arithmetic tuning|Arithmetic tunings]]
***[[Equal-step tuning|Equal-step tunings]]
****[[EDO|Equal divisions of the octave (EDOs)]]
**** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
**** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
**** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
**** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
**** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
**** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
**** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
**** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
**** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
**** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
**** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
**** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
**** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
***[[Overtone scales]]
****[[Primodality|Primodal scales]]
***[[Xenharmonic series]]
 
'''Miscellaneous systems'''
*[[Cartesian scale|Cartesian scales]]
*[[Compound scale|Compound scales]]
*[[Euler-Fokker genus|Euler-Fokker genera]]
*[[Fokker block|Fookker blocks]]
*[[Maximal harmony epimorphic scales]]
*[[Omniconsonant scale|Omniconsonant scales]]
*[[Scale products and scale powers]]
*[[Yantras]]


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

Revision as of 10:42, 15 April 2023

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 include:

Just Intonation

Temperament

Harmonotonicity

Miscellaneous systems

Retrieved from "https://en.xen.wiki/index.php?title=Families_of_scales&oldid=107784"