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39edo: Difference between revisions

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| 10\39
| 10\39
| 307.7
| 307.7
| [[Familia]] (39df)
|  
| [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]], [[4L 23s]], [[4L 27s]], [[4L 31s]]
| [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]], [[4L 23s]], [[4L 27s]], [[4L 31s]]
|-
|-
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|-
|-
| 3
| 3
| 6\39
| 3\39
| 184.6
| 92.3
| [[Terrain]] / [[mirkat]] (39df)
| [[Augene]] (39d)
| [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15]], [[6L 21s]], [[6L 27s]]
| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]], [[12L 15s]]
|-
| 3
| 4\39
| 123.0
| [[Deflated]] (39bd)
| [[3L 3s]], [[3L 6s]], [[9L 3s]], [[9L 12s]], [[9L 21s]]
|-
|-
| 3
| 3
| 8\39 <br>(5\39)
| 5\39
| 246.2 <br>(153.8)
| 153.8
| [[Triforce]] (39)
| [[Triforce]] (39)
| [[3L&nbsp;3s]], [[6L&nbsp;3s]], [[9L&nbsp;6s]], [[15L&nbsp;9s]]
| [[3L&nbsp;3s]], [[6L&nbsp;3s]], [[9L&nbsp;6s]], [[15L&nbsp;9s]]
|-
|-
| 3
| 3
| 16\39 <br>(3\39)
| 6\39
| 492.3 <br>(92.3)
| 184.6
| [[Augene]] (39d)
| [[Terrain]]
| [[3L&nbsp;3s]], [[3L&nbsp;6s]], [[3L&nbsp;9s]], [[12L&nbsp;3s]], [[12L&nbsp;15s]]
| [[3L&nbsp;3s]], [[6L&nbsp;3s]], [[6L&nbsp;9s]], [[6L 15]], [[6L&nbsp;21s]], [[6L&nbsp;27s]]
|-
| 3
| 17\39 <br>(4\39)
| 523.1 <br>(123.0)
| [[Deflated]] (39bd)
| [[3L&nbsp;3s]], [[3L&nbsp;6s]], [[9L&nbsp;3s]], [[9L&nbsp;12s]], [[9L&nbsp;21s]]
|-
|-
| 13
| 13
| 16\39 <br>(1\39)
| 1\39
| 492.3 <br>(30.8)
| 30.8
| [[Tridecatonic]]
| [[Tridecatonic]]
| [[13L&nbsp;13s]]
| [[13L&nbsp;13s]]
|}
|}
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]
 
39et can be detempered to [[mirkat]] (39df & 72) and [[familia]] (39df & 113).


== Octave stretch or compression ==
== Octave stretch or compression ==
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It also offers ''many'' possible [[pentatonic]] scales, including the [[2L 3s]] mos (which is 9 7 7 9 7). [[Slendro]] can be approximated using that scale or using something like the [[quasi-equal]] 8 8 8 8 7 or 8 8 7 8 8.  
It also offers ''many'' possible [[pentatonic]] scales, including the [[2L 3s]] mos (which is 9 7 7 9 7). [[Slendro]] can be approximated using that scale or using something like the [[quasi-equal]] 8 8 8 8 7 or 8 8 7 8 8.  


One expressive [[pentatonic]] scale is the oneirotonic subset 9 6 9 9 6.  
An expressive [[pentatonic]] subset of [[oneirotonic]] - 9 6 9 9 6 - is available because 39edo contains [[13edo]].


Many Asian{{clarify|which ones specifically}} and [[African music|African]] {{clarify|which ones specifically}} musical styles can thus be accommodated.
Many Asian{{clarify|which ones specifically}} and [[African music|African]] {{clarify|which ones specifically}} musical styles can thus be accommodated.


== Scales ==
== Scales ==
* [[Quasisuper]][7] [[MOS scale]]: 7 7 2 7 7 7 2
; [[Augene]] scales
* Quasisuper[7] [[5-limit|pental]] [[modmos]]: 7 6 3 7 6 7 3
* Augene[6] [[MOS scale]]: 10 3 10 3 10 3
* [[3L 6s]] modmos: 7 3 3 3 7 3 3 7 3
* Augene[9] MOS: 3 7 3 3 7 3 3 7 3
* [[3L 6s]] (augene9) [[modmos]]: 7 3 3 3 7 3 3 7 3
* Augene[12] MOS: 3 3 4 3 3 3 4 3 3 3 4 3
* Augene[15] MOS: 3 3 1 3 3 3 3 1 3 3 3 3 1 3 3
 
; [[Quasisuper]] scales
* Quasisuper[7] MOS: 7 7 2 7 7 7 2
* Quasisuper[7] [[5-limit|pental]] modmos: 7 6 3 7 6 7 33
* Extended quasisuper: 4 3 6 3 4 3 6 4 3 3
* Extended quasisuper: 4 3 6 3 4 3 6 4 3 3
* Quasisuper[22] MOS scale (resembles [[Indian]] [[sruti]]): 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2
* Quasisuper[22] MOS (resembles [[Indian]] [[sruti]]): 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2
* Slendro approximations: 9 7 7 9 7 or 8 8 8 8 7 or 8 8 7 8 8
 
* An expressive [[oneirotonic]] subset: 9 6 9 9 6
; [[Amity]] scales
* Amity[7] MOS: 6 6 5 6 5 6 5
* Amity[11] MOS: 5 1 5 5 1 5 1 5 5 1 5
* Amity[18] MOS: 1 4 1 4 1 1 4 1 1 4 1 4 1 1 4 1 4 1
* Amity[25] MOS: 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1
* Amity[32] MOS: 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1
 
; Others
* Pelog approximation: 4 5 13 4 13
* Slendro/[[equipentatonic]] approximations: 9 7 7 9 7 ''or'' 8 8 8 8 7 ''or'' 8 8 7 8 8
* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''
* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''


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[[Category:Listen]]
[[Category:Listen]]
{{Todo|add scales list}}
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