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


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