39edo - Revision history

Lucius Chiaraviglio: /* Other */ Fix typo

2026-10-02T17:39:32Z

Other: Fix typo

← Older revision		Revision as of 17:39, 2 October 2026
Line 1,244:		Line 1,244:
	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.

	n expressive [[pentatonic]] subset of [[oneirotonic]] - 9 6 9 9 6 - is available because 39edo contains [[13edo]].		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.

BudjarnLambeth: /* Music */

2026-10-02T04:02:22Z

Music

← Older revision		Revision as of 04:02, 2 October 2026
Line 1,325:		Line 1,325:

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

BudjarnLambeth at 14:20, 1 October 2026

2026-10-01T14:20:55Z

← Older revision		Revision as of 14:20, 1 October 2026
Line 1,244:		Line 1,244:
	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.		n 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.
Line 1,272:		Line 1,272:
	* Pelog approximation: 4 5 13 4 13		* 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		* Slendro/[[equipentatonic]] approximations: 9 7 7 9 7 ''or'' 8 8 8 8 7 ''or'' 8 8 7 8 8
	* ''The scales listed in: ~~[[13edo#Scales]],~~ [[User:BudjarnLambeth/Quasipelog theory]]''		* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''

	== Instruments ==		== Instruments ==

BudjarnLambeth: /* Scales */

2026-10-01T14:13:47Z

Scales

← Older revision		Revision as of 14:13, 1 October 2026
Line 1,272:		Line 1,272:
	* Pelog approximation: 4 5 13 4 13		* 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		* Slendro/[[equipentatonic]] 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		* ''The scales listed in: [[13edo#Scales]], [[User:BudjarnLambeth/Quasipelog theory]]''
	* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''

	== Instruments ==		== Instruments ==

BudjarnLambeth: /* Scales */

2026-10-01T14:04:38Z

Scales

← Older revision		Revision as of 14:04, 1 October 2026
Line 1,255:		Line 1,255:
	* Augene[12] MOS: 3 3 4 3 3 3 4 3 3 3 4 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		* 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
			* 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

	; [[Amity]] scales		; [[Amity]] scales
Line 1,262:		Line 1,268:
	* 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[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		* 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

	~~; [[Quasisuper]] scales~~
	* Quasisuper[7] MOS scale: 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
	* 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

	; Others		; Others
	* Pelog approximation: 4 5 13 4 13		* 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		* Slendro/[[equipentatonic]] 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		* An expressive [[oneirotonic]] subset: 9 6 9 9 6
	* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''		* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''

BudjarnLambeth: /* Scales */ Add amity scales

2026-10-01T14:03:57Z

Scales: Add amity scales

← Older revision		Revision as of 14:03, 1 October 2026
Line 1,252:		Line 1,252:
	* Augene[6] [[MOS scale]]: 10 3 10 3 10 3		* Augene[6] [[MOS scale]]: 10 3 10 3 10 3
	* Augene[9] MOS: 3 7 3 3 7 3 3 7 3		* Augene[9] MOS: 3 7 3 3 7 3 3 7 3
	* [[3L 6s]] modmos: 7 3 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[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		* Augene[15] MOS: 3 3 1 3 3 3 3 1 3 3 3 3 1 3 3

	; [[Amity]] scales		; [[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

	; [[Quasisuper]] scales		; [[Quasisuper]] scales
Line 1,266:		Line 1,271:
	; Others		; Others
	* Pelog approximation: 4 5 13 4 13		* Pelog approximation: 4 5 13 4 13
	* Slendro approximations: 9 7 7 9 7 or 8 8 8 8 7 or 8 8 7 8 8		* Slendro/[[equipentatonic]] 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		* An expressive [[oneirotonic]] subset: 9 6 9 9 6
	* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''		* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''

BudjarnLambeth: /* Scales */ add augene scales

2026-10-01T13:51:08Z

Scales: add augene scales

← Older revision		Revision as of 13:51, 1 October 2026
Line 1,249:		Line 1,249:

	== 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
			* Augene[9] MOS: 3 7 3 3 7 3 3 7 3
	* [[3L 6s]] modmos: 7 3 3 3 7 3 3 7 3		* [[3L 6s]] 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

			; [[Amity]] scales

			; [[Quasisuper]] scales
			* Quasisuper[7] MOS scale: 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 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

			; Others
	* Pelog approximation: 4 5 13 4 13		* Pelog approximation: 4 5 13 4 13
	* Slendro approximations: 9 7 7 9 7 or 8 8 8 8 7 or 8 8 7 8 8		* Slendro approximations: 9 7 7 9 7 or 8 8 8 8 7 or 8 8 7 8 8

BudjarnLambeth: /* Scales */

2026-10-01T13:38:26Z

Scales

← Older revision		Revision as of 13:38, 1 October 2026
Line 1,254:		Line 1,254:
	* 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 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
			* Pelog approximation: 4 5 13 4 13
	* Slendro approximations: 9 7 7 9 7 or 8 8 8 8 7 or 8 8 7 8 8		* 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		* An expressive [[oneirotonic]] subset: 9 6 9 9 6

FloraC: /* Regular temperament properties */ rework to minimal-generator form; move certain temps to the bottom as they're too complex to be tuned to this edo

2026-09-20T04:28:50Z

Regular temperament properties: rework to minimal-generator form; move certain temps to the bottom as they're too complex to be tuned to this edo

← Older revision		Revision as of 04:28, 20 September 2026
Line 1,123:		Line 1,123:
	\| 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]]
	\|-		\|-
Line 1,169:		Line 1,169:
	\|-		\|-
	\| 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 3s]], [[6L 3s]], [[9L 6s]], [[15L 9s]]		\| [[3L 3s]], [[6L 3s]], [[9L 6s]], [[15L 9s]]
	\|-		\|-
	\| 3		\| 3
	\| 16\39 ~~<br>(3\39)~~		\| 6\39
	\| ~~492~~.~~3 <br>(92.3)~~		\| 184.6
	\| [[~~Augene~~]] ~~(39d)~~		\| [[Terrain]]
	\| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[~~12L 3s~~]], [[~~12L~~ ~~15s]]~~		\| [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15]], [[6L 21s]], [[6L 27s]]
	\|-
	~~\| 3~~
	~~\| 17\39 <br>(4\39)~~
	~~\| 523.1 <br>(123.0)~~
	~~\| [[Deflated]] (39bd)~~
	~~\| [[3L 3s]], [[3L 6s]], [[9L 3s~~]], [[9L ~~12s]], [[9L 21s~~]]
	\|-		\|-
	\| 13		\| 13
	\| ~~16\39 <br>(~~1\39)		\| 1\39
	\| ~~492.3 <br>(~~30.8)		\| 30.8
	\| [[Tridecatonic]]		\| [[Tridecatonic]]
	\| [[13L 13s]]		\| [[13L 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 ==

FloraC: /* Regular temperament properties */ + nusecond

2026-09-20T04:19:16Z

Regular temperament properties: + nusecond

← Older revision		Revision as of 04:19, 20 September 2026
Line 1,078:		Line 1,078:
	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	\|-		\|-
	! Periods <br />per 8ve		! Periods <br>per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
Line 1,105:		Line 1,105:
	\| 5\39		\| 5\39
	\| 153.8		\| 153.8
	\|		\| [[Nusecond]] (39df)
	\| [[1L 6s]], [[7L 1s]], [[8L 7s]], [[8L 15s]], [[8L 23s]]		\| [[1L 6s]], [[7L 1s]], [[8L 7s]], [[8L 15s]], [[8L 23s]]
	\|-		\|-