User:CompactStar/Ed16/9 - Revision history

BudjarnLambeth at 11:58, 18 May 2025

2025-05-18T11:58:20Z

← Older revision		Revision as of 11:58, 18 May 2025
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			{{Editable user page}}
	The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.		The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.

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	The structural importance of 16/9 is suggested by its being the most common width for a [[tetrad]] in Western harmony, though it could be argued that this distinction belongs instead to [[7/4]] or [[9/5]] depending how one converts [[12edo\|10\12]] into [[JI]].		The structural importance of 16/9 is suggested by its being the most common width for a [[tetrad]] in Western harmony, though it could be argued that this distinction belongs instead to [[7/4]] or [[9/5]] depending how one converts [[12edo\|10\12]] into [[JI]].

	~~{{Todo\|inline=1\|improve synopsis}}~~
	[[Category:Ed16/9\| ]] <!-- main article -->		[[Category:Ed16/9\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

BudjarnLambeth: BudjarnLambeth moved page Ed16/9 to User:CompactStar/Ed16/9

2025-05-18T11:58:04Z

BudjarnLambeth moved page Ed16/9 to User:CompactStar/Ed16/9

← Older revision	Revision as of 11:58, 18 May 2025
(No difference)

BudjarnLambeth at 01:42, 25 April 2025

2025-04-25T01:42:19Z

← Older revision		Revision as of 01:42, 25 April 2025
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	The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.		The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.

	Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The ~~utility~~ of 16/9 ~~(or another seventh) as a base though,~~ is ~~apparent~~ by being ~~used at~~ the ~~base of so much modern tonal~~ harmony.		Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]].

			The structural importance of 16/9 is suggested by its being the most common width for a [[tetrad]] in Western harmony, though it could be argued that this distinction belongs instead to [[7/4]] or [[9/5]] depending how one converts [[12edo\|10\12]] into [[JI]].

	{{Todo\|inline=1\|improve synopsis}}		{{Todo\|inline=1\|improve synopsis}}

BudjarnLambeth: Todo

2025-04-25T01:38:37Z

Todo

← Older revision		Revision as of 01:38, 25 April 2025
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	Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.		Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.

	{{Todo\| ~~expand~~ }}		{{Todo\|inline=1\|improve synopsis}}
	[[Category:Ed16/9\| ]] <!-- main article -->		[[Category:Ed16/9\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

FloraC: Recategorize

2024-05-19T09:03:47Z

Recategorize

← Older revision		Revision as of 09:03, 19 May 2024
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	Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.		Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.

	[[Category:~~Todo:expand~~]]		{{Todo\| expand }}
			[[Category:Ed16/9\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
			[[Category:Lists of scales]]

FloraC: Anything of integer ed4/3's should be discussed under the ed4/3 article

2024-05-18T15:36:35Z

Anything of integer ed4/3's should be discussed under the ed4/3 article

← Older revision		Revision as of 15:36, 18 May 2024
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	The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps.		The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.

	Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.		Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.

	~~An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's can also be used for neo-Medieval harmony.~~

	[[Category:Todo:expand]]		[[Category:Todo:expand]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

FloraC: Rework the trivial statements into something more informative; improve linking and style

2024-05-18T15:34:56Z

Rework the trivial statements into something more informative; improve linking and style

← Older revision		Revision as of 15:34, 18 May 2024
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	'''~~ED16~~/9''' is the ~~equal division of the the~~ Pythagorean minor seventh ([[16/9]]~~) into n parts~~.		The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9\|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps.

	Division of 16/9 into equal parts ~~can be conceived of as to~~ directly ~~use~~ this interval as an [[equivalence]]~~, or not~~. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.		Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.

			An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's can also be used for neo-Medieval harmony.

	~~An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for neo-Medieval harmony.~~
	[[Category:Todo:expand]]		[[Category:Todo:expand]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Cleaned up the page

2023-04-26T08:39:22Z

Cleaned up the page

← Older revision		Revision as of 08:39, 26 April 2023
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	~~WIP~~		'''ED16/9''' is the equal division of the the Pythagorean minor seventh ([[16/9]]) into n parts.

	~~'''ED16~~/9~~''' is the~~ equal ~~division~~ of ~~the the Pythagorean minor seventh (~~[[16/9]]) ~~into n parts~~.		Division of 16/9 into equal parts can be conceived of as to directly use this interval as an [[equivalence]], or not. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.

	Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for ~~Neo~~-Medieval harmony ~~and such~~.		An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for neo-Medieval harmony.
	[[Category:Todo:expand]]		[[Category:Todo:expand]]
	~~[[Category:Todo:cleanup]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-23T20:56:57Z

Categorised this uncategorised page

← Older revision		Revision as of 20:56, 23 April 2023
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	Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.		Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.
			[[Category:Todo:expand]]
			[[Category:Todo:cleanup]]
			[[Category:Edonoi]]

CompactStar at 04:44, 11 March 2023

2023-03-11T04:44:46Z

← Older revision		Revision as of 04:44, 11 March 2023
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	'''ED16/9''' is the equal division of the the Pythagorean minor seventh ([[16/9]]) into n parts.		'''ED16/9''' is the equal division of the the Pythagorean minor seventh ([[16/9]]) into n parts.

	Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. An ED16/9 can be generated by taking every other tone of an [[ED4/3]], so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.		Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. An ED16/9 can be generated by taking every other tone of an [[ed4/3\|ED4/3]], so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.