User:CompactStar/Ed9/2 - Revision history

BudjarnLambeth at 02:41, 19 May 2025

2025-05-19T02:41:12Z

← Older revision		Revision as of 02:41, 19 May 2025
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			{{Editable user page}}
	The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.		The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.

BudjarnLambeth: BudjarnLambeth moved page Ed9/2 to User:CompactStar/Ed9/2 over redirect

2025-05-19T02:41:03Z

BudjarnLambeth moved page Ed9/2 to User:CompactStar/Ed9/2 over redirect

← Older revision	Revision as of 02:41, 19 May 2025
(No difference)

BudjarnLambeth at 00:57, 19 May 2025

2025-05-19T00:57:57Z

← Older revision		Revision as of 00:57, 19 May 2025
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	~~{{Editable user page}}~~
	The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.		The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.

BudjarnLambeth: BudjarnLambeth moved page User:CompactStar/Ed9/2 to Ed9/2 over redirect: Discussion in Discord

2025-05-19T00:57:48Z

BudjarnLambeth moved page User:CompactStar/Ed9/2 to Ed9/2 over redirect: Discussion in Discord

← Older revision	Revision as of 00:57, 19 May 2025
(No difference)

BudjarnLambeth at 12:06, 18 May 2025

2025-05-18T12:06:54Z

← Older revision		Revision as of 12:06, 18 May 2025
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			{{Editable user page}}
	The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.		The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.

BudjarnLambeth: BudjarnLambeth moved page Ed9/2 to User:CompactStar/Ed9/2

2025-05-18T12:06:45Z

BudjarnLambeth moved page Ed9/2 to User:CompactStar/Ed9/2

← Older revision	Revision as of 12:06, 18 May 2025
(No difference)

BudjarnLambeth: /* Properties */ adapted wording from ed16/15

2025-04-25T02:14:39Z

Properties: adapted wording from ed16/15

← Older revision		Revision as of 02:14, 25 April 2025
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	== Properties ==		== Properties ==
	Division of 9/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]~~. The question of equivalence has not even been posed yet~~. Many, though not all, ~~of these~~ scales have a perceptually important false octave, with various degrees of accuracy.		Division of 9/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed9/2 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	~~Incidentally, one way~~ to ~~treat 9~~/2 ~~as an equivalence~~ is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.		One approach to ed9/2 tunings is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.

	[[Category:Ed9/2\| ]] <!-- main article -->		[[Category:Ed9/2\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

FloraC: Recategorize

2024-05-19T09:20:04Z

Recategorize

← Older revision		Revision as of 09:20, 19 May 2024
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	The '''equal division of 9//2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.		The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.

	== Properties ==		== Properties ==
Line 6:		Line 6:
	Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.		Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.

			[[Category:Ed9/2\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
			[[Category:Lists of scales]]

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

2024-05-19T08:26:32Z

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

← Older revision		Revision as of 08:26, 19 May 2024
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	The '''equal division of 9//2''' ('''ed9/2''') is a [[tuning]] obtained by dividing ~~the~~ [[9/2\|~~just~~ major ~~sixteenth~~ (9/2)]] into a number of [[equal]] steps.		The '''equal division of 9//2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2\|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.

	== Properties ==		== Properties ==
	Division of 9/2 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. Many, though not all, of these scales have a perceptually important ~~pseudo (~~false) octave, with various degrees of accuracy.		Division of 9/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy.

	Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7, 10, 17, and 27 note ~~MOS~~.		Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.

	[[Category:Edonoi]]		[[Category:Edonoi]]

CompactStar at 09:35, 16 May 2023

2023-05-16T09:35:18Z

← Older revision		Revision as of 09:35, 16 May 2023
Line 4:		Line 4:
	Division of 9/2 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. Many, though not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.		Division of 9/2 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. Many, though not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.

	Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup).		Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7, 10, 17, and 27 note MOS.

	[[Category:Edonoi]]		[[Category:Edonoi]]