313edo - Revision history

BudjarnLambeth: /* Music */

2026-04-29T13:02:21Z

Music

← Older revision		Revision as of 13:02, 29 April 2026
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	* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – in Hemischis, 313edo tuning		* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – in Hemischis, 313edo tuning
	* "Fried Rolled Up Trousers With Fish Sauce" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/4Gnz6Dagdkg5C35osK1HXa Spotify] \| [https://francium223.bandcamp.com/track/fried-rolled-up-trousers-with-fish-sauce Bandcamp] \| [https://www.youtube.com/watch?v=ZSq62yTs3p0 YouTube]		* "Fried Rolled Up Trousers With Fish Sauce" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/4Gnz6Dagdkg5C35osK1HXa Spotify] \| [https://francium223.bandcamp.com/track/fried-rolled-up-trousers-with-fish-sauce Bandcamp] \| [https://www.youtube.com/watch?v=ZSq62yTs3p0 YouTube]

			; [[Sevish]]
			* ''[[Desert Island Rain]]''
			* ''[[Disorient]]''
			* ''[[Never Coming Home]]''
			* ''[[Never Coming Home (Remix)]]''
			* ''[[Septillion Reptilians]]''

	[[Category:Albus]]		[[Category:Albus]]

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"

2026-03-13T13:32:15Z

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
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	\| [[Vydubychi]]		\| [[Vydubychi]]
	\|}		\|}
	<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 ==
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	\| [[2/1]] (0¢)		\| [[2/1]] (0¢)
	\|}		\|}
	<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

	== Music ==		== Music ==

Francium: /* Music */ +music

2026-02-27T13:39:41Z

Music: +music

← Older revision		Revision as of 13:39, 27 February 2026
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	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – ~~hemischis~~ in 313edo tuning		* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – in Hemischis, 313edo tuning
			* "Fried Rolled Up Trousers With Fish Sauce" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/4Gnz6Dagdkg5C35osK1HXa Spotify] \| [https://francium223.bandcamp.com/track/fried-rolled-up-trousers-with-fish-sauce Bandcamp] \| [https://www.youtube.com/watch?v=ZSq62yTs3p0 YouTube]

	[[Category:Albus]]		[[Category:Albus]]

Lériendil: Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

2025-04-17T02:29:24Z

Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

← Older revision		Revision as of 02:29, 17 April 2025
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	\| 498.40		\| 498.40
	\| 4/3		\| 4/3
	\| [[Helmholtz temperament\|Helmholtz]]		\| [[Helmholtz (temperament)\|Helmholtz]]
	\|-		\|-
	\| 1		\| 1

Nick Vuci: Edited Helmholtz redirect

2025-04-16T15:40:55Z

Edited Helmholtz redirect

← Older revision		Revision as of 15:40, 16 April 2025
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	\| 498.40		\| 498.40
	\| 4/3		\| 4/3
	\| [[Helmholtz]]		\| [[Helmholtz temperament\|Helmholtz]]
	\|-		\|-
	\| 1		\| 1

FloraC: No need to remind readers of what a regular temperament is everywhere

2025-04-11T11:19:57Z

No need to remind readers of what a regular temperament is everywhere

← Older revision		Revision as of 11:19, 11 April 2025
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	== Theory ==		== Theory ==
	313edo provides the [[optimal patent val]] for 11- and 13-limit [[hemischis]] temperament and the 13-limit rank-3 temperaments [[madagascar]] and [[hera]]. It tempers out the [[schisma]], 32805/32768, in the 5-limit; [[6144/6125]] and [[19683/19600]] in the 7-limit; [[540/539]], [[5632/5625]], [[8019/8000]] and [[16384/16335]] in the 11-limit; [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[2080/2079]] and [[4096/4095]] in the 13-limit. ~~(''See [[regular temperament]] for more about what all this means and how to use it.'')~~		313edo provides the [[optimal patent val]] for 11- and 13-limit [[hemischis]] temperament and the 13-limit rank-3 temperaments [[madagascar]] and [[hera]]. It tempers out the [[schisma]], 32805/32768, in the 5-limit; [[6144/6125]] and [[19683/19600]] in the 7-limit; [[540/539]], [[5632/5625]], [[8019/8000]] and [[16384/16335]] in the 11-limit; [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[2080/2079]] and [[4096/4095]] in the 13-limit.

	=== Prime harmonics ===		=== Prime harmonics ===
Line 60:		Line 60:

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	~~''See [[regular temperament]] for more about what all this means and how to use it.''~~

	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator

BudjarnLambeth: (''See regular temperament for more about what all this means and how to use it.'')

2025-04-11T07:51:06Z

(''See regular temperament for more about what all this means and how to use it.'')

← Older revision		Revision as of 07:51, 11 April 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	313edo provides the [[optimal patent val]] for 11- and 13-limit [[hemischis]] temperament and the 13-limit rank-3 temperaments [[madagascar]] and [[hera]]. It tempers out the [[schisma]], 32805/32768, in the 5-limit; [[6144/6125]] and [[19683/19600]] in the 7-limit; [[540/539]], [[5632/5625]], [[8019/8000]] and [[16384/16335]] in the 11-limit; [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[2080/2079]] and [[4096/4095]] in the 13-limit.		313edo provides the [[optimal patent val]] for 11- and 13-limit [[hemischis]] temperament and the 13-limit rank-3 temperaments [[madagascar]] and [[hera]]. It tempers out the [[schisma]], 32805/32768, in the 5-limit; [[6144/6125]] and [[19683/19600]] in the 7-limit; [[540/539]], [[5632/5625]], [[8019/8000]] and [[16384/16335]] in the 11-limit; [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[2080/2079]] and [[4096/4095]] in the 13-limit. (''See [[regular temperament]] for more about what all this means and how to use it.'')

	=== Prime harmonics ===		=== Prime harmonics ===
Line 60:		Line 60:

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
			''See [[regular temperament]] for more about what all this means and how to use it.''

	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator

ArrowHead294 at 14:37, 20 February 2025

2025-02-20T14:37:24Z

← Older revision		Revision as of 14:37, 20 February 2025
Line 149:		Line 149:

	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "Calling Voices" from ''HemischisMatic EP'' (2023) ~~–~~ [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] ~~–~~ hemischis in 313edo tuning		* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] \| [https://francium223.bandcamp.com/track/calling-voices Bandcamp] \| [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – hemischis in 313edo tuning

	[[Category:Albus]]		[[Category:Albus]]

ArrowHead294 at 14:37, 20 February 2025

2025-02-20T14:37:04Z

← Older revision		Revision as of 14:37, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|313~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 16:46, 15 January 2025

2025-01-15T16:46:37Z

← Older revision		Revision as of 16:46, 15 January 2025
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	\| 32805/32768, {{monzo\| -1 49 -33 }}		\| 32805/32768, {{monzo\| -1 49 -33 }}
	\| {{mapping\| 313 496 727 }}		\| {{mapping\| 313 496 727 }}
	\| ~~−0~~.055		\| −0.055
	\| 0.254		\| 0.254
	\| 6.64		\| 6.64
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	\| 6144/6125, 19683/19600, 40500000/40353607		\| 6144/6125, 19683/19600, 40500000/40353607
	\| {{mapping\| 313 496 727 879 }}		\| {{mapping\| 313 496 727 879 }}
	\| ~~−0~~.143		\| −0.143
	\| 0.268		\| 0.268
	\| 6.99		\| 6.99
Line 47:		Line 47:
	\| 540/539, 5632/5625, 8019/8000, 43923/43904		\| 540/539, 5632/5625, 8019/8000, 43923/43904
	\| {{mapping\| 313 496 727 879 1083 }}		\| {{mapping\| 313 496 727 879 1083 }}
	\| ~~−0~~.158		\| −0.158
	\| 0.242		\| 0.242
	\| 6.30		\| 6.30
Line 54:		Line 54:
	\| 351/350, 540/539, 676/675, 4096/4095, 43923/43904		\| 351/350, 540/539, 676/675, 4096/4095, 43923/43904
	\| {{mapping\| 313 496 727 879 1083 1158 }}		\| {{mapping\| 313 496 727 879 1083 1158 }}
	\| ~~−0~~.091		\| −0.091
	\| 0.267		\| 0.267
	\| 6.97		\| 6.97
Line 93:		Line 93:
	\| [[Vydubychi]]		\| [[Vydubychi]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Scales ==		== Scales ==
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	{\| class="wikitable right-2"		{\| class="wikitable right-2"
	\|+ style="font-size: 105%;" \| Madagascar[9] (or Barbados[9]) scale		\|+ style="font-size: 105%;" \| Madagascar[9] (Barbados[9]) scale
	\|-		\|-
	! Step		! Step
Line 109:		Line 109:
	\| 53 (53\313)		\| 53 (53\313)
	\| 203.195		\| 203.195
	\| [[9/8]] (~~−0~~.~~715 ¢~~)		\| [[9/8]] (−0.715¢)
	\|-		\|-
	\| 12 (65\313)		\| 12 (65\313)
	\| 249.201		\| 249.201
	\| [[15/13]] (+1.~~46 ¢~~)		\| [[15/13]] (+1.46¢)
	\|-		\|-
	\| 53 (118\313)		\| 53 (118\313)
	\| 452.396		\| 452.396
	\| [[13/10]] (~~−1~~,~~818 ¢~~)		\| [[13/10]] (−1,818¢)
	\|-		\|-
	\| 12 (130\313)		\| 12 (130\313)
	\| 498.403		\| 498.403
	\| [[4/3]] (+0.~~358 ¢~~)		\| [[4/3]] (+0.358¢)
	\|-		\|-
	\| 53 (183\313)		\| 53 (183\313)
	\| 701.597		\| 701.597
	\| [[3/2]] (~~−0~~.~~358 ¢~~)		\| [[3/2]] (−0.358¢)
	\|-		\|-
	\| 12 (195\313)		\| 12 (195\313)
	\| 747.604		\| 747.604
	\| [[20/13]] (+1.~~818 ¢~~)		\| [[20/13]] (+1.818¢)
	\|-		\|-
	\| 53 (248\313)		\| 53 (248\313)
	\| 950.799		\| 950.799
	\| [[26/15]] (~~−1~~.~~46 ¢~~)		\| [[26/15]] (−1.46¢)
	\|-		\|-
	\| 12 (260\313)		\| 12 (260\313)
	\| 996.805		\| 996.805
	\| [[16/9]] (+0.~~715 ¢~~)		\| [[16/9]] (+0.715¢)
	\|-		\|-
	\| 53 (313\313)		\| 53 (313\313)
	\| 1200.000		\| 1200.000
	\| [[2/1]] (~~0 ¢~~)		\| [[2/1]] (0¢)
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==