73edo - Revision history

Lucius Chiaraviglio: /* Music */ Bryan Deister's ''Waltz in 73edo'' (2026): add full version

2026-05-21T01:44:00Z

Music: Bryan Deister's ''Waltz in 73edo'' (2026): add full version

← Older revision		Revision as of 01:44, 21 May 2026
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/meZYE1Yj2pY ''microtonal improvisation in 73edo''] (2025)		* [https://www.youtube.com/shorts/meZYE1Yj2pY ''microtonal improvisation in 73edo''] (2025)
	* [https://www.youtube.com/shorts/sRZEJVBuDl0 ''~~Waltz in 73edo~~''] (~~2026~~)		* ''Waltz in 73edo'' (2026)
			** [https://www.youtube.com/shorts/sRZEJVBuDl0 ''<nowiki>[short]</nowiki>''] (Lumatone view)
			** [https://www.youtube.com/watch?v=Z-3a5LJlul8 ''<nowiki>[full version]</nowiki>'']

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Waltz in 73edo'' (2026)

2026-05-18T11:27:46Z

Music: Add Bryan Deister's ''Waltz in 73edo'' (2026)

← Older revision		Revision as of 11:27, 18 May 2026
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/meZYE1Yj2pY ''microtonal improvisation in 73edo''] (2025)		* [https://www.youtube.com/shorts/meZYE1Yj2pY ''microtonal improvisation in 73edo''] (2025)
			* [https://www.youtube.com/shorts/sRZEJVBuDl0 ''Waltz in 73edo''] (2026)

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]

Overthink: /* Theory */ grammar

2026-01-03T00:50:09Z

Theory: grammar

← Older revision		Revision as of 00:50, 3 January 2026
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	== Theory ==		== Theory ==
	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] ~~tunes~~ it better.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tune it better.

	73edo can be used as a tuning of [[trismegistus]] or [[mavila]], by the 9:5 relation in the [[7L 2s\|superdiatonic]] scheme, though neither of these use the most accurate 3/2. It is also notable for supporting the 2.3.5.7.13 version of [[sensi]] entirely by patent val.		73edo can be used as a tuning of [[trismegistus]] or [[mavila]], by the 9:5 relation in the [[7L 2s\|superdiatonic]] scheme, though neither of these use the most accurate 3/2. It is also notable for supporting the 2.3.5.7.13 version of [[sensi]] entirely by patent val.

Lériendil at 22:49, 18 September 2025

2025-09-18T22:49:48Z

← Older revision		Revision as of 22:49, 18 September 2025
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	== Theory ==		== Theory ==
	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

	73edo can be used as a tuning of [[trismegistus]] or [[mavila]], by the 9:5 relation in the [[7L 2s\|superdiatonic]] scheme, though neither of these use the most accurate 3/2.		73edo can be used as a tuning of [[trismegistus]] or [[mavila]], by the 9:5 relation in the [[7L 2s\|superdiatonic]] scheme, though neither of these use the most accurate 3/2. It is also notable for supporting the 2.3.5.7.13 version of [[sensi]] entirely by patent val.

	=== Prime harmonics ===		=== Prime harmonics ===

VectorGraphics at 06:22, 30 July 2025

2025-07-30T06:22:18Z

← Older revision		Revision as of 06:22, 30 July 2025
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	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

	73edo ~~fits in~~ [[mavila]] ~~scale~~, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.		73edo can be used as a tuning of [[trismegistus]] or [[mavila]], by the 9:5 relation in the [[7L 2s\|superdiatonic]] scheme, though neither of these use the most accurate 3/2.

	=== Prime harmonics ===		=== Prime harmonics ===

Lucius Chiaraviglio: /* Music */ Insert Instruments section before this, now that a Lumatone mapping for 73edo is now available

2025-06-11T07:16:03Z

Music: Insert Instruments section before this, now that a Lumatone mapping for 73edo is now available

← Older revision		Revision as of 07:16, 11 June 2025
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	== Scales ==		== Scales ==
	* Porky[7]: 10 10 10 13 10 10 10 ((10, 20, 30, 43, 53, 63, 73)\73)		* Porky[7]: 10 10 10 13 10 10 10 ((10, 20, 30, 43, 53, 63, 73)\73)

			== Instruments ==

			A [[Lumatone mapping for 73edo]] is available.

	== Music ==		== Music ==

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''microtonal improvisation in 73edo'' (2025)

2025-06-09T15:18:20Z

Music: Add Bryan Deister's ''microtonal improvisation in 73edo'' (2025)

← Older revision		Revision as of 15:18, 9 June 2025
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	== Music ==		== Music ==
			; [[Bryan Deister]]
			* [https://www.youtube.com/shorts/meZYE1Yj2pY ''microtonal improvisation in 73edo''] (2025)

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]
	* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday''] (2020)		* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday''] (2020)

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

2025-04-11T11:02:51Z

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 ==
	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

	The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better. ~~(''See [[regular temperament]] for more about what all this means and how to use it.'')~~

	73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.		73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.

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

2025-04-11T07:27:00Z

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

← Older revision		Revision as of 07:27, 11 April 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp.

			The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better. (''See [[regular temperament]] for more about what all this means and how to use it.'')

	73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.		73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.

ArrowHead294 at 16:07, 20 February 2025

2025-02-20T16:07:42Z

← Older revision		Revision as of 16:07, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|73~~}}		{{ED intro}}

	== Theory ==		== Theory ==
	73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.		73edo has a very sharp tendency, with the approximations of [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]] all sharp. The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]], and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

	73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.		73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s\|superdiatonic]] scheme.
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	== Notation ==		== Notation ==

	===Sagittal notation===		=== Sagittal notation ===
	This notation uses the same sagittal sequence as [[80edo#Sagittal notation\|80-EDO]].		This notation uses the same sagittal sequence as [[80edo#Sagittal notation\|80-EDO]].
	~~====Evo flavor====~~

			==== Evo flavor ====
	<imagemap>		<imagemap>
	File:73-EDO_Evo_Sagittal.svg		File:73-EDO_Evo_Sagittal.svg
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	</imagemap>		</imagemap>

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

	<imagemap>		<imagemap>
	File:73-EDO_Revo_Sagittal.svg		File:73-EDO_Revo_Sagittal.svg