0edo - Revision history

FloraC at 13:57, 18 March 2025

2025-03-18T13:57:35Z

← Older revision		Revision as of 13:57, 18 March 2025
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	#redirect [[Single-pitch tuning]]		#redirect [[Single-pitch tuning]]

	~~[[Category:Limiting case]]~~

Lériendil: redirected page to "single-pitch tuning"

2025-03-17T22:14:19Z

redirected page to "single-pitch tuning"

← Older revision		Revision as of 22:14, 17 March 2025
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	~~''See also:~~ [[Single-pitch tuning]]''		#redirect [[Single-pitch tuning]]
	~~{{Infobox ET}}~~
	~~'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.~~

	~~== Theory ==~~
	~~There are two ways to approach this idea.~~

	Given that ''n''-edo means that you are dividing the octave into 1/''n'' equal divisions and that 1/0 is sometimes considered undefined, it would follow that 0edo would be similarly undefined and thus one could not use it as a tuning system.

	The other way of looking at it is to see what happens as ''n'' gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As ''n'' gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one pitch without any octaves.

	Being an example of a [[trivial temperament]], 0edo [[tempering out\|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error\|relative error]] of all intervals is zero.

	~~0edo is equivalent to 0ed-''p'' of any positive, finite number ''p''.~~

	~~== Music ==~~
	~~; [[Cryptovolans]], [[Reuben Gingrich]]~~
	* [https://soundcloud.com/sexytoadsandfrogsfriendcircle/0-cryptovolans-reuben ''Many Birds Pecking On Wood''] (2021) ([https://sexytoadsandfrogsfriendcircle.bandcamp.com/album/staffcirc-vol-7-terra-octava Bandcamp])

	~~; [[Elliott Carter]]~~
	* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950)

	~~; [[Herman Miller]]~~
	* ''[https://soundcloud.com/morphosyntax-1/lost-at-c Lost at C]'' (2021)

	~~; [[No Clue Music]]~~
	* [https://www.youtube.com/watch?v=g-WXe2mvAPk ''0 EDO Experiment''] (2024)

	[[Category:Limiting case]]		[[Category:Limiting case]]

Lériendil at 22:13, 17 March 2025

2025-03-17T22:13:29Z

← Older revision		Revision as of 22:13, 17 March 2025
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	~~{{interwiki~~
	~~\| ro = Sistem monocord~~
	}}
	''See also: [[Single-pitch tuning]]''		''See also: [[Single-pitch tuning]]''
	{{Infobox ET}}		{{Infobox ET}}

VectorGraphics at 06:13, 13 February 2025

2025-02-13T06:13:39Z

← Older revision		Revision as of 06:13, 13 February 2025
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	\| ro = Sistem monocord		\| ro = Sistem monocord
	}}		}}
			''See also: [[Single-pitch tuning]]''
	{{Infobox ET}}		{{Infobox ET}}
	'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.		'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.

BudjarnLambeth: /* Music */ add music

2024-12-06T09:59:20Z

Music: add music

← Older revision		Revision as of 09:59, 6 December 2024
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	; [[Elliott Carter]]		; [[Elliott Carter]]
	* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950)		* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950)

			; [[Herman Miller]]
			* ''[https://soundcloud.com/morphosyntax-1/lost-at-c Lost at C]'' (2021)

	; [[No Clue Music]]		; [[No Clue Music]]

AraMax: Added romanian language page on the interwiki section

2024-12-03T11:30:45Z

Added romanian language page on the interwiki section

← Older revision		Revision as of 11:30, 3 December 2024
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			{{interwiki
			\| ro = Sistem monocord
			}}
	{{Infobox ET}}		{{Infobox ET}}
	'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.		'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.

Tristanbay: Pluralized "division"

2024-07-21T06:16:06Z

Pluralized "division"

← Older revision		Revision as of 06:16, 21 July 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''0 equal ~~division~~ of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.		'''0 equal divisions of the octave''' ('''0edo''') is the [[tuning system]] that contains a single note.

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2024-06-12T12:34:19Z

Music: +music

← Older revision		Revision as of 12:34, 12 June 2024
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	; [[Elliott Carter]]		; [[Elliott Carter]]
	* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950)		* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950)

			; [[No Clue Music]]
			* [https://www.youtube.com/watch?v=g-WXe2mvAPk ''0 EDO Experiment''] (2024)

	[[Category:Limiting case]]		[[Category:Limiting case]]

FloraC: Equivalency to 0ed-p

2024-02-12T08:40:12Z

Equivalency to 0ed-p

← Older revision		Revision as of 08:40, 12 February 2024
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	Being an example of a [[trivial temperament]], 0edo [[tempering out\|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error\|relative error]] of all intervals is zero.		Being an example of a [[trivial temperament]], 0edo [[tempering out\|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error\|relative error]] of all intervals is zero.

			0edo is equivalent to 0ed-''p'' of any positive, finite number ''p''.

	== Music ==		== Music ==

FloraC: Undefined != unpitched or silence

2024-01-06T15:03:45Z

Undefined != unpitched or silence

← Older revision		Revision as of 15:03, 6 January 2024
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	There are two ways to approach this idea.		There are two ways to approach this idea.

	Given that ''n''-edo means that you are dividing the octave into 1''/n'' equal divisions and that 1/0 is sometimes considered undefined, it would follow that 0edo would be similarly undefined and thus ~~would comprise no sounds at all (or intervals from unison are undefined, so 1 note is there)~~.		Given that ''n''-edo means that you are dividing the octave into 1/''n'' equal divisions and that 1/0 is sometimes considered undefined, it would follow that 0edo would be similarly undefined and thus one could not use it as a tuning system.

	The other way of looking at it is to see what happens as ''n'' gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As ''n'' gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one ~~note~~ without any octaves.		The other way of looking at it is to see what happens as ''n'' gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As ''n'' gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one pitch without any octaves.

	Being an example of a [[trivial temperament]], 0edo [[tempering out\|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error\|relative error]] of all intervals is zero.		Being an example of a [[trivial temperament]], 0edo [[tempering out\|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error\|relative error]] of all intervals is zero.