76edo - Revision history

Lucius Chiaraviglio: /* Music */ Add Chase Mcallister's color trinity sharing relations take 5 (2025)

2025-10-30T05:47:25Z

Music: Add Chase Mcallister's color trinity sharing relations take 5 (2025)

← Older revision		Revision as of 05:47, 30 October 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/IUqoN9YhTtQ ''microtonal improvisation in 76edo''] (2025)		* [https://www.youtube.com/shorts/IUqoN9YhTtQ ''microtonal improvisation in 76edo''] (2025)

			; [[Chase Mcallister]]
			* [https://soundcloud.com/level-frequences/color-trinity-sharing-4?si=147e778d5ae14910b4e5729e697d3e49&utm_source=clipboard&utm_medium=text&utm_campaign=social_sharing&fbclid=IwY2xjawNv2o1leHRuA2FlbQIxMABicmlkETFzUzZRYVZyczJTWHM5d013AR72m-QvK6FraqcA40LQxKifkeK6PDevB2F-PZpxUzKuIi5-RCZbdyFZ3wb-Jw_aem_0KyUPc0tpeQOzWbanSCrTw ''color trinity sharing relations take 5''] (2025)

Lucius Chiaraviglio: /* Instruments */ Lumatone mappings for 76edo are now available

2025-07-02T08:29:32Z

Instruments: Lumatone mappings for 76edo are now available

← Older revision		Revision as of 08:29, 2 July 2025
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	== Instruments ==		== Instruments ==

	=== Skip fretting ===		=== Skip fretting ===
	'''[[Skip fretting]] system 76 2 17''' optimizes the subminor chord, 0-17-44 of 76edo.		'''[[Skip fretting]] system 76 2 17''' optimizes the subminor chord, 0-17-44 of 76edo.
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	A regular minor chord, with a 19\76 3rd, is also easily playable. 19\76 is found on the 2nd string, 1st fret; as well as on the 6th string, 5th fret.		A regular minor chord, with a 19\76 3rd, is also easily playable. 19\76 is found on the 2nd string, 1st fret; as well as on the 6th string, 5th fret.

			=== Keyboards ===

			[[Lumatone mapping for 76edo\|Lumatone mappings for 76edo]] are available.

	== Music ==		== Music ==

Lucius Chiaraviglio: /* Instruments */ Insert Music section after this, starting with Bryan Deister's ''microtonal improvisation in 76edo'' (2025)

2025-06-27T06:54:26Z

Instruments: Insert Music section after this, starting with Bryan Deister's ''microtonal improvisation in 76edo'' (2025)

← Older revision		Revision as of 06:54, 27 June 2025
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	A regular minor chord, with a 19\76 3rd, is also easily playable. 19\76 is found on the 2nd string, 1st fret; as well as on the 6th string, 5th fret.		A regular minor chord, with a 19\76 3rd, is also easily playable. 19\76 is found on the 2nd string, 1st fret; as well as on the 6th string, 5th fret.

			== Music ==

			; [[Bryan Deister]]
			* [https://www.youtube.com/shorts/IUqoN9YhTtQ ''microtonal improvisation in 76edo''] (2025)

BudjarnLambeth: /* Instruments */ merge

2025-04-27T03:38:46Z

Instruments: merge

@@ Line 63: / Line 63: @@
 == Instruments ==
-; Fretted instruments
+=== Skip fretting ===
-* [[Skip fretting system 76 2 17]]
+'''[[Skip fretting]] system 76 2 17''' optimizes the subminor chord, 0-17-44 of 76edo.

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

2025-04-11T11:02:27Z

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

← Older revision		Revision as of 11:02, 11 April 2025
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	== Theory ==		== Theory ==
	~~''It is recommended to read the page [[regular temperament]] first to understand this section.''~~

	76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that {{nowrap\|76 {{=}} 4 × 19}}. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the {{nowrap\|44\76 {{=}} 11\19}} fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.		76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that {{nowrap\|76 {{=}} 4 × 19}}. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the {{nowrap\|44\76 {{=}} 11\19}} fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.

BudjarnLambeth: /* Theory */ ''It is recommended to read the page regular temperament first to understand this section.''

2025-04-11T07:24:07Z

Theory: ''It is recommended to read the page regular temperament first to understand this section.''

← Older revision		Revision as of 07:24, 11 April 2025
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	== Theory ==		== Theory ==
			''It is recommended to read the page [[regular temperament]] first to understand this section.''

	76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that {{nowrap\|76 {{=}} 4 × 19}}. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the {{nowrap\|44\76 {{=}} 11\19}} fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.		76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that {{nowrap\|76 {{=}} 4 × 19}}. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the {{nowrap\|44\76 {{=}} 11\19}} fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.

ArrowHead294 at 13:16, 12 March 2025

2025-03-12T13:16:17Z

← Older revision		Revision as of 13:16, 12 March 2025
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	== Theory ==		== Theory ==
	76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 × 19. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.		76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that {{nowrap\|76 {{=}} 4 × 19}}. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the {{nowrap\|44\76 {{=}} 11\19}} fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.

	Using the 76dgh val, 76edo provides an excellent tuning for [[teff]] temperament, a low-complexity, medium-accuracy, and high-limit (17- or 19-limit) temperament.		Using the 76dgh val, 76edo provides an excellent tuning for [[teff]] temperament, a low-complexity, medium-accuracy, and high-limit (17- or 19-limit) temperament.

TallKite: /* Notation */ added the modern (as opposed to the classical) version of the ups and downs accidentals

2025-02-22T07:29:10Z

Notation: added the modern (as opposed to the classical) version of the ups and downs accidentals

← Older revision		Revision as of 07:29, 22 February 2025
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	== Notation ==		== Notation ==
	=== Ups and downs notation ===		=== Ups and downs notation ===
			76edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
			{{Sharpness-sharp4a}}
	Using [[Helmholtz–Ellis]] accidentals, 76edo can also be notated using [[ups and downs notation]] along with Stein–Zimmerman [[24edo#Notation\|quarter-tone]] accidentals:		Using [[Helmholtz–Ellis]] accidentals, 76edo can also be notated using [[ups and downs notation]] along with Stein–Zimmerman [[24edo#Notation\|quarter-tone]] accidentals:
	{{Sharpness-sharp4}}		{{Sharpness-sharp4}}

ArrowHead294 at 16:15, 20 February 2025

2025-02-20T16:15:46Z

← Older revision		Revision as of 16:15, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|76~~}}		{{ED intro}}

	== Theory ==		== Theory ==
	76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 × 19. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the 24 & 26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.		76edo's [[patent val]] is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 × 19. In the 7-limit it [[tempering out\|tempers out]] [[2401/2400]] in addition to [[81/80]], and so [[support]]s the [[squares]] temperament. In the 11-limit, it tempers out [[245/242]] and [[385/384]], and supports [[pombe]], the {{nowrap\|24 & 26}} temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[hornbostel]] temperament's [[POTE]] fifth, whereas its sharp fifth, 45\76, makes for an excellent [[superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.

	Using the 76dgh val, 76edo provides an excellent tuning for [[teff]] temperament, a low-complexity, medium-accuracy, and high-limit (17- or 19-limit) temperament.		Using the 76dgh val, 76edo provides an excellent tuning for [[teff]] temperament, a low-complexity, medium-accuracy, and high-limit (17- or 19-limit) temperament.
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	== Notation ==		== Notation ==
	===Sagittal notation===		=== Ups and downs notation ===
			Using [[Helmholtz–Ellis]] accidentals, 76edo can also be notated using [[ups and downs notation]] along with Stein–Zimmerman [[24edo#Notation\|quarter-tone]] accidentals:
			{{Sharpness-sharp4}}
			Here, a sharp raises by four steps, and a flat lowers by four steps, so arrows can be used to fill in the gap.

			=== Sagittal notation ===
	This notation uses the same sagittal sequence as EDOs [[62edo#Sagittal notation\|62]] and [[69edo#Sagittal notation\|69]], and is a superset of the notations for EDOs [[38edo#Sagittal notation\|38]] and [[19edo#Sagittal notation\|19]].		This notation uses the same sagittal sequence as EDOs [[62edo#Sagittal notation\|62]] and [[69edo#Sagittal notation\|69]], and is a superset of the notations for EDOs [[38edo#Sagittal notation\|38]] and [[19edo#Sagittal notation\|19]].
	~~====Evo flavor====~~

			==== Evo flavor ====
	<imagemap>		<imagemap>
	File:76-EDO_Evo_Sagittal.svg		File:76-EDO_Evo_Sagittal.svg
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	</imagemap>		</imagemap>

	====Revo flavor====		==== Revo flavor ====

	<imagemap>		<imagemap>
	File:76-EDO_Revo_Sagittal.svg		File:76-EDO_Revo_Sagittal.svg
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	</imagemap>		</imagemap>

	====Evo-SZ flavor====		==== Evo-SZ flavor ====

	<imagemap>		<imagemap>
	File:76-EDO_Evo-SZ_Sagittal.svg		File:76-EDO_Evo-SZ_Sagittal.svg

BudjarnLambeth: Moved to appropriate section

2025-01-28T03:45:12Z

Moved to appropriate section

← Older revision		Revision as of 03:45, 28 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|76}}		{{EDO intro\|76}}


	~~[[Skip fretting system 76 2 17]]~~

	== Theory ==		== Theory ==
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	In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma\|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.		In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma\|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.

			== Instruments ==
			; Fretted instruments
			* [[Skip fretting system 76 2 17]]