1edo - Revision history

Lucius Chiaraviglio: /* Music */ Fix typo

2026-05-17T03:39:43Z

Music: Fix typo

← Older revision		Revision as of 03:39, 17 May 2026
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	; [[Chris Vaisvil]]		; [[Chris Vaisvil]]
	* [https://www.youtube.com/watch?v=EAutHhRv3Gg ''0-EDO for Orchestra''] (2021) (despite the title, actually in 1edo))		* [https://www.youtube.com/watch?v=EAutHhRv3Gg ''0-EDO for Orchestra''] (2021) (despite the title, actually in 1edo)

	== See also ==		== See also ==

Lucius Chiaraviglio: /* Music */ Chris Vaisvil's ''0-EDO for Orchestra'' (2021): Move here from 0edo, because it is really in 1edo

2026-05-17T03:38:31Z

Music: Chris Vaisvil's ''0-EDO for Orchestra'' (2021): Move here from 0edo, because it is really in 1edo

← Older revision		Revision as of 03:38, 17 May 2026
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	; [[STC_1001]]		; [[STC_1001]]
	* "Neainaz Antithetica, Theme", from [https://soundcloud.com/sexytoadsandfrogsfriendcircle/sets/staffcirc-vol-7-terra-octava ''STAFFcirc vol. 7''] (2021) – [https://soundcloud.com/sexytoadsandfrogsfriendcircle/1-stc-s1001-neainaz SoundCloud] \| [https://sexytoadsandfrogsfriendcircle.bandcamp.com/track/1-neainaz-antithetica-theme Bandcamp]		* "Neainaz Antithetica, Theme", from [https://soundcloud.com/sexytoadsandfrogsfriendcircle/sets/staffcirc-vol-7-terra-octava ''STAFFcirc vol. 7''] (2021) – [https://soundcloud.com/sexytoadsandfrogsfriendcircle/1-stc-s1001-neainaz SoundCloud] \| [https://sexytoadsandfrogsfriendcircle.bandcamp.com/track/1-neainaz-antithetica-theme Bandcamp]

			; [[Chris Vaisvil]]
			* [https://www.youtube.com/watch?v=EAutHhRv3Gg ''0-EDO for Orchestra''] (2021) (despite the title, actually in 1edo))

	== See also ==		== See also ==

Overthink: Undo revision 224410 by Overthink (talk) nvm

2026-02-20T22:30:02Z

Undo revision 224410 by Overthink (talk) nvm

← Older revision		Revision as of 22:30, 20 February 2026
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	== Theory ==		== Theory ==
	One note repeated in octaves is an example of a [[trivial temperament]] (specifically, it is the trivial temperament of the [[2-limit]]); most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves.		One note repeated in octaves is an example of a [[trivial temperament]] (specifically, it is the trivial temperament of the [[2-limit]]); most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves.

	~~{{Wikipedia\|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}}~~

	The first piece of ''Musica ricercata'' by {{w\|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern.		The first piece of ''Musica ricercata'' by {{w\|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern.
Line 36:		Line 34:
	; [[User:Wendy_gunk\|Wendy Gunk]]		; [[User:Wendy_gunk\|Wendy Gunk]]
	* [https://www.youtube.com/watch?v=YpNh8CNS4tc ''1edo howard''] (2025)		* [https://www.youtube.com/watch?v=YpNh8CNS4tc ''1edo howard''] (2025)

			{{Wikipedia\|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}}

	; [[Wikipedia:György Ligeti\|György Ligeti]]		; [[Wikipedia:György Ligeti\|György Ligeti]]

Overthink: move this up

2026-02-20T22:28:42Z

move this up

← Older revision		Revision as of 22:28, 20 February 2026
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	== Theory ==		== Theory ==
	One note repeated in octaves is an example of a [[trivial temperament]] (specifically, it is the trivial temperament of the [[2-limit]]); most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves.		One note repeated in octaves is an example of a [[trivial temperament]] (specifically, it is the trivial temperament of the [[2-limit]]); most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves.

			{{Wikipedia\|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}}

	The first piece of ''Musica ricercata'' by {{w\|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern.		The first piece of ''Musica ricercata'' by {{w\|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern.
Line 34:		Line 36:
	; [[User:Wendy_gunk\|Wendy Gunk]]		; [[User:Wendy_gunk\|Wendy Gunk]]
	* [https://www.youtube.com/watch?v=YpNh8CNS4tc ''1edo howard''] (2025)		* [https://www.youtube.com/watch?v=YpNh8CNS4tc ''1edo howard''] (2025)

	~~{{Wikipedia\|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}}~~

	; [[Wikipedia:György Ligeti\|György Ligeti]]		; [[Wikipedia:György Ligeti\|György Ligeti]]

Overthink: rewrite intro

2026-02-20T22:24:41Z

rewrite intro

← Older revision		Revision as of 22:24, 20 February 2026
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	}}		}}
	{{Infobox ET}}		{{Infobox ET}}
	'''1 equal divisions of the octave''' (abbreviated '''1edo'''), or '''1-tone equal temperament''' ('''1tet'''), '''1 equal temperament''' ('''1et)''' when viewed under a [[regular temperament]] perspective, is the [[tuning system]] that contains a single pitch and pitches [[octave]]s above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the octave.		'''1 equal divisions of the octave''' (abbreviated '''1edo'''), '''1-tone equal temperament''' ('''1tet'''), or '''1 equal temperament''' ('''1et'''), when viewed under a [[regular temperament]] perspective, is the [[tuning system]] that contains a single pitch and pitches any whole number of [[octave]]s above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the octave.

	== Theory ==		== Theory ==

FloraC: Interval table is trivial

2026-01-16T07:32:26Z

Interval table is trivial

@@ Line 18: / Line 18: @@
 === Odd harmonics ===
 {{Harmonics in equal|1}}
 == Music ==

Overthink: /* Intervals */ expand a bit

2026-01-16T00:00:09Z

Intervals: expand a bit

← Older revision		Revision as of 00:00, 16 January 2026
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	\| 4800		\| 4800
	\| [[16/1]]		\| [[16/1]]
			\|-
			\| 5
			\| 6000
			\| [[32/1]]
	\|}		\|}
	<nowiki/>*2-limit (all tuned justly)		<nowiki/>*2-limit (all tuned justly)

Overthink: Interval table

2026-01-15T23:59:26Z

Interval table

@@ Line 18: / Line 18: @@
 === Odd harmonics ===
 {{Harmonics in equal|1}}
 == Music ==

Overthink: /* Odd harmonics */ shrink table

2026-01-09T06:01:57Z

Odd harmonics: shrink table

← Older revision		Revision as of 06:01, 9 January 2026
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	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1~~\|columns=15~~}}		{{Harmonics in equal\|1}}

	== Music ==		== Music ==

FloraC: + category

2025-09-05T09:23:31Z

+ category

← Older revision		Revision as of 09:23, 5 September 2025
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	* [[Octave]]		* [[Octave]]

			[[Category:Trivial temperaments]]
	[[Category:2-limit]]		[[Category:2-limit]]
	[[Category:1-odd-limit]]		[[Category:1-odd-limit]]
	[[Category:Just intonation scales]]		[[Category:Just intonation scales]]
	[[Category:Listen]]		[[Category:Listen]]