Edonoi - Revision history

Fredg999 category edits: Sort key

2025-08-01T20:09:25Z

Sort key

← Older revision		Revision as of 20:09, 1 August 2025
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	[[Category:Terms]]		[[Category:Terms]]
	[[Category:Edonoi]]		[[Category:Edonoi\| ]] <!-- main article -->
	[[Category:Acronyms]]		[[Category:Acronyms]]

Fredg999 category edits: Moving from Category:Equal-step tuning to Category:Edonoi using Cat-a-lot

2025-08-01T15:34:56Z

Moving from Category:Equal-step tuning to Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 15:34, 1 August 2025
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	[[Category:Terms]]		[[Category:Terms]]
	[[Category:~~Equal-step tuning~~]]		[[Category:Edonoi]]
	[[Category:Acronyms]]		[[Category:Acronyms]]

BudjarnLambeth: Merged into "Equal step tuning"

2025-05-19T01:18:43Z

Merged into "Equal step tuning"

← Older revision		Revision as of 01:18, 19 May 2025
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	~~An '''equal division of a non-octave interval''' ('''EDONOI''' or '''edonoi''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of~~ [[~~equal~~-step tuning~~\|equal steps]]. In the broader sense, any [[equal tuning]] that is not an integer [[EDO~~]] ~~is an EDONOI.~~		#redirect [[Equal-step tuning#Edonoi]]

	The most often used EDONOI include the equal-tempering of the [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].

	~~For a more extensive list of EDONOI see [[Equal-step tuning#Equal divisions]].~~

	Some EDONOI contain an interval close to [[2/1]] that might function like a stretched or squashed octave. They can thus be considered variations on EDOs. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of [[octave equivalence]], which might require special attention.

	~~== External links ==~~
	* [http://www.nonoctave.com/tuning/quintave.html X. J. Scott's Equal Divisions of Rational Intervals]

	~~[[Category:Edonoi\| ]] <!-- main article -->~~
	[[Category:Terms]]		[[Category:Terms]]
	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	[[Category:Acronyms]]		[[Category:Acronyms]]

BudjarnLambeth at 12:49, 18 May 2025

2025-05-18T12:49:47Z

← Older revision		Revision as of 12:49, 18 May 2025
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any [[equal tuning]] that is not an integer [[EDO]] is an EDONOI.		An '''equal division of a non-octave interval''' ('''EDONOI''' or '''edonoi''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any [[equal tuning]] that is not an integer [[EDO]] is an EDONOI.

	The most often used EDONOI include the equal-tempering of the [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].		The most often used EDONOI include the equal-tempering of the [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].

BudjarnLambeth: Reword slightly, add links

2025-05-18T12:49:20Z

Reword slightly, add links

← Older revision		Revision as of 12:49, 18 May 2025
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[~~edo~~]] is an ~~edonoi~~.		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any [[equal tuning]] that is not an integer [[EDO]] is an EDONOI.

	~~Examples~~ include the equal-~~tempered~~ [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET~~]]. For a more extensive list see [[Equal-step tuning#Equal divisions~~]].		The most often used EDONOI include the equal-tempering of the [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].

	Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on ~~edos~~. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, ~~and thus~~ require special attention.		For a more extensive list of EDONOI see [[Equal-step tuning#Equal divisions]].

			Some EDONOI contain an interval close to [[2/1]] that might function like a stretched or squashed octave. They can thus be considered variations on EDOs. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of [[octave equivalence]], which might require special attention.

	== External links ==		== External links ==

BudjarnLambeth: Change link destination

2025-05-18T12:44:23Z

Change link destination

← Older revision		Revision as of 12:44, 18 May 2025
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.

	Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive list see [[~~:Category:Edonoi~~]].		Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive list see [[Equal-step tuning#Equal divisions]].

	Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.		Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

BudjarnLambeth at 13:32, 20 September 2024

2024-09-20T13:32:08Z

← Older revision		Revision as of 13:32, 20 September 2024
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.

	Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive list see [[Category:Edonoi]].		Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive list see [[:Category:Edonoi]].

	Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.		Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

BudjarnLambeth: + “ For a more extensive list see Category:Edonoi.”

2024-09-20T13:31:06Z

+ “ For a more extensive list see Category:Edonoi.”

← Older revision		Revision as of 13:31, 20 September 2024
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.

	Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].		Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive list see [[Category:Edonoi]].

	Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.		Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

FloraC: Try a definition based on relative complement. Paragraphing.

2024-08-10T07:25:32Z

Try a definition based on relative complement. Paragraphing.

← Older revision		Revision as of 07:25, 10 August 2024
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	An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]].		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.

	Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].		Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].

	Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on ~~[[edo]]s~~.		Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on edos. Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

	Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

	== External links ==		== External links ==

FloraC: Cleanup

2024-08-10T07:15:35Z

Cleanup

← Older revision		Revision as of 07:15, 10 August 2024
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	'''EDONOI''' is ~~short for "equal divisions of~~ non-octave ~~intervals"~~.		An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning\|equal steps]].

	Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (a.k.~~a. the 13th root~~ of 3), the [[Phoenix]] tuning, [[Carlos Alpha]], [[Carlos Beta]], [[Carlos Gamma]], the [[~~19ED3~~\|~~19th root~~ of 3]], the [[6edf\|~~6th root~~ of 3:2]] , ~~[[88cET]] and~~ the [[~~square root of 13 over~~ 10\|~~square root~~ of 13:10]].		Examples include the equal-tempered [[BP\|Bohlen-Pierce scale]] (i.e. [[13edt\|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta\|Beta]], and [[Carlos Gamma\|Gamma]], the [[19edt\|19 equal divisions of 3]], the [[6edf\|6 equal divisions of 3/2]], the [[2ed13/10\|2 equal divisions of 13/10]], and [[88cET]].

	Some EDONOI contain an interval close to a 2:1 that might function like a stretched or squashed octave. They can thus be considered variations on [[~~EDO~~]]s.		Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on [[edo]]s.

	Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[~~redundancy\|~~redundancy]], that of octave equivalence, and thus require special attention.		Other EDONOI contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional [[redundancy]], that of octave equivalence, and thus require special attention.

	== ~~See also~~ ==		== External links ==
	* [[Nonoctave]]
	* [http://www.nonoctave.com/tuning/quintave.html X. J. Scott's Equal Divisions of Rational Intervals]		* [http://www.nonoctave.com/tuning/quintave.html X. J. Scott's Equal Divisions of Rational Intervals]
	* [[Equal-step tuning]]

	[[Category:Edonoi\| ]] <!-- main article -->		[[Category:Edonoi\| ]] <!-- main article -->