84edo - Revision history

FloraC: /* Rank-2 temperaments */

2026-06-20T15:15:34Z

Rank-2 temperaments

← Older revision		Revision as of 15:15, 20 June 2026
Line 917:		Line 917:
	\| [[Oquatonic]]		\| [[Oquatonic]]
	\|}		\|}
	<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]]

	== Scales ==		== Scales ==

FloraC: /* Rank-2 temperaments */ + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave

2026-06-20T15:15:05Z

Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave

← Older revision		Revision as of 15:15, 20 June 2026
Line 829:		Line 829:
	\| 1		\| 1
	\| 19\84		\| 19\84
	\| 271.43		\| 271.4
	\| 7/6		\| 7/6
	\| [[Orwell]] (84e) / [[newspeak]] (84)		\| [[Orwell]] (84e) / [[newspeak]] (84)
Line 835:		Line 835:
	\| 1		\| 1
	\| 25\84		\| 25\84
	\| 357.14		\| 357.1
	\| 768/625		\| 768/625
	\| [[Dodifo]]		\| [[Dodifo]]
Line 841:		Line 841:
	\| 1		\| 1
	\| 27\84		\| 27\84
	\| 385.71		\| 385.7
	\| 5/4		\| 5/4
	\| [[Mutt]]		\| [[Mutt]]
Line 847:		Line 847:
	\| 1		\| 1
	\| 31\84		\| 31\84
	\| 442.86		\| 442.9
	\| 162/125		\| 162/125
	\| [[Sensei]]		\| [[Sensei]]
Line 853:		Line 853:
	\| 1		\| 1
	\| 41\84		\| 41\84
	\| 585.71		\| 585.7
	\| 7/5		\| 7/5
	\| [[Merman]]		\| [[Merman]]
Line 859:		Line 859:
	\| 2		\| 2
	\| 5\84		\| 5\84
	\| 71.43		\| 71.4
	\| 25/24		\| 25/24
	\| [[Narayana]]		\| [[Narayana]]
Line 865:		Line 865:
	\| 2		\| 2
	\| 11\84		\| 11\84
	\| 157.14		\| 157.1
	\| 35/32		\| 35/32
	\| [[Bison]]		\| [[Bison]]
Line 871:		Line 871:
	\| 2		\| 2
	\| 13\84		\| 13\84
	\| 185.71		\| 185.7
	\| 10/9		\| 10/9
	\| [[Secant]]		\| [[Secant]]
Line 877:		Line 877:
	\| 3		\| 3
	\| 11\84		\| 11\84
	\| 157.14		\| 157.1
	\| 35/32		\| 35/32
	\| [[Nessafof]]		\| [[Nessafof]]
			\|-
			\| 6
			\| 5\84
			\| 71.4
			\| 25/24
			\| [[Trivish]]
	\|-		\|-
	\| 7		\| 7
	\| 5\84		\| 5\84
	\| ~~500.00<br>(~~14.~~29)~~		\| 14.3
	\| ~~4/3<br>(~~81/80)		\| 81/80
	\| [[Absurdity]]		\| [[Absurdity]]
	\|-		\|-
	\| 12		\| 12
	\| ~~27\84<br>(~~1\84)		\| 1\84
	\| ~~385.71<br>(~~14.~~29)~~		\| 14.3
	\| ~~5/4<br>(~~126/125)		\| 126/125
	\| [[Compton]]		\| [[Compton]]
	\|-		\|-
	\| 12		\| 12
	\| ~~16\84<br>(~~2\84)		\| 2\84
	\| ~~228~~.6~~<br>(28.57)~~		\| 28.6
	\| ~~8/7<br>(~~64/63)		\| 64/63
	\| [[Catler]] (84c)		\| [[Catler]] (84c)
	\|-		\|-
	\| 21		\| 21
	\| ~~41\84<br>(~~1\84)		\| 1\84)
	\| ~~585.71<br>(~~14.~~29)~~		\| 14.3
	\| ~~91875/65536<br>(~~126/125)		\| 126/125
	\| [[Akjayland]]		\| [[Akjayland]]
	\|-		\|-
	\| 28		\| 28
	\| ~~49\84<br>(~~1\84)		\| 1\84
	\| ~~500.00<br>(~~14.~~29)~~		\| 14.3
	\| ~~4/3<br>(~~105/104)		\| 105/104
	\| [[Oquatonic]]		\| [[Oquatonic]]
	\|}		\|}

Lucius Chiaraviglio: /* Rank-2 temperaments */ While both 162/125 and 125/81 could be generators for Sensei, 31\84 is the former, which is also what is listed in the Sensi temperament entry.

2026-05-10T02:42:52Z

Rank-2 temperaments: While both 162/125 and 125/81 could be generators for Sensei, 31\84 is the former, which is also what is listed in the Sensi temperament entry.

← Older revision		Revision as of 02:42, 10 May 2026
Line 848:		Line 848:
	\| 31\84		\| 31\84
	\| 442.86		\| 442.86
	\| 125~~/81~~		\| 162/125
	\| [[Sensei]]		\| [[Sensei]]
	\|-		\|-

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''84edo groove'' (2026)

2026-05-10T02:25:20Z

Music: Add Bryan Deister's ''84edo groove'' (2026)

← Older revision		Revision as of 02:25, 10 May 2026
Line 941:		Line 941:
	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/Sqkxrmwggr0 ''microtonal improvisation in 84edo''] (2025)		* [https://www.youtube.com/shorts/Sqkxrmwggr0 ''microtonal improvisation in 84edo''] (2025)
			* [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026)

	; [[Eliora]]		; [[Eliora]]

FloraC: /* Regular temperament properties */ note the val for catler

2026-05-02T09:53:17Z

Regular temperament properties: note the val for catler

← Older revision		Revision as of 09:53, 2 May 2026
Line 769:		Line 769:
	\| 2.3.5		\| 2.3.5
	\| 78732/78125, 531441/524288		\| 78732/78125, 531441/524288
	\| {{~~mapping~~\| 84 133 195 }}		\| {{Mapping\| 84 133 195 }}
	\| +0.498		\| +0.498
	\| 0.531		\| 0.531
Line 776:		Line 776:
	\| 2.3.5.7		\| 2.3.5.7
	\| 225/224, 1728/1715, 78732/78125		\| 225/224, 1728/1715, 78732/78125
	\| {{~~mapping~~\| 84 133 195 236 }}		\| {{Mapping\| 84 133 195 236 }}
	\| +0.141		\| +0.141
	\| 0.769		\| 0.769
Line 783:		Line 783:
	\| 2.3.5.7.13		\| 2.3.5.7.13
	\| 225/224, 351/350, 640/637, 1701/1690		\| 225/224, 351/350, 640/637, 1701/1690
	\| {{~~mapping~~\| 84 133 195 236 311 }}		\| {{Mapping\| 84 133 195 236 311 }}
	\| −0.013		\| −0.013
	\| 0.754		\| 0.754
Line 790:		Line 790:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 225/224, 441/440, 1344/1331, 1728/1715		\| 225/224, 441/440, 1344/1331, 1728/1715
	\| {{~~mapping~~\| 84 133 195 236 291 }} (84)		\| {{Mapping\| 84 133 195 236 291 }} (84)
	\| −0.225		\| −0.225
	\| 1.003		\| 1.003
Line 797:		Line 797:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 144/143, 225/224, 351/350, 441/440, 975/968		\| 144/143, 225/224, 351/350, 441/440, 975/968
	\| {{~~mapping~~\| 84 133 195 236 291 311 }} (84)		\| {{Mapping\| 84 133 195 236 291 311 }} (84)
	\| −0.292		\| −0.292
	\| 0.928		\| 0.928
Line 804:		Line 804:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 99/98, 121/120, 176/175, 78732/78125		\| 99/98, 121/120, 176/175, 78732/78125
	\| {{~~mapping~~\| 84 133 195 236 290 }} (84e)		\| {{Mapping\| 84 133 195 236 290 }} (84e)
	\| +0.601		\| +0.601
	\| 1.151		\| 1.151
Line 811:		Line 811:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 99/98, 121/120, 176/175, 275/273, 1701/1690		\| 99/98, 121/120, 176/175, 275/273, 1701/1690
	\| {{~~mapping~~\| 84 133 195 236 290 311 }} (84e)		\| {{Mapping\| 84 133 195 236 290 311 }} (84e)
	\| +0.396		\| +0.396
	\| 1.146		\| 1.146
Line 894:		Line 894:
	\|-		\|-
	\| 12		\| 12
	\| 68\84<br>(2\84)		\| 16\84<br>(2\84)
	\| ~~971~~.4<br>(28.6)		\| 228.6<br>(28.57)
	\| 7/4<br>(64/63)		\| 8/7<br>(64/63)
	\| [[Catler]]		\| [[Catler]] (84c)
	\|-		\|-
	\| 21		\| 21

BudjarnLambeth: /* Rank-2 temperaments */

2026-05-02T09:38:58Z

Rank-2 temperaments

← Older revision		Revision as of 09:38, 2 May 2026
Line 896:		Line 896:
	\| 68\84<br>(2\84)		\| 68\84<br>(2\84)
	\| 971.4<br>(28.6)		\| 971.4<br>(28.6)
	\| 7/4<br>(16/15)		\| 7/4<br>(64/63)
	\| [[Catler]]		\| [[Catler]]
	\|-		\|-

BudjarnLambeth: /* Rank-2 temperaments */

2026-05-02T09:37:39Z

Rank-2 temperaments

← Older revision		Revision as of 09:37, 2 May 2026
Line 894:		Line 894:
	\|-		\|-
	\| 12		\| 12
	\| (2\84)		\| 68\84<br>(2\84)
	\| (28.6)		\| 971.4<br>(28.6)
	\| 7/4<br>(16/15)		\| 7/4<br>(16/15)
	\| [[Catler]]		\| [[Catler]]

BudjarnLambeth: /* Rank-2 temperaments */

2026-05-02T09:37:06Z

Rank-2 temperaments

← Older revision		Revision as of 09:37, 2 May 2026
Line 896:		Line 896:
	\| (2\84)		\| (2\84)
	\| (28.6)		\| (28.6)
	\|		\| 7/4<br>(16/15)
	\| [[Catler]]		\| [[Catler]]
	\|-		\|-

BudjarnLambeth: /* Rank-2 temperaments */ add Catler

2026-05-02T09:35:48Z

Rank-2 temperaments: add Catler

← Older revision		Revision as of 09:35, 2 May 2026
Line 892:		Line 892:
	\| 5/4<br>(126/125)		\| 5/4<br>(126/125)
	\| [[Compton]]		\| [[Compton]]
			\|-
			\| 12
			\| (2\84)
			\| (28.6)
			\|
			\| [[Catler]]
	\|-		\|-
	\| 21		\| 21

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:32:44Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:32, 13 March 2026
Line 905:		Line 905:
	\| [[Oquatonic]]		\| [[Oquatonic]]
	\|}		\|}
	<nowiki/>* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<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

	== Scales ==		== Scales ==