User:Moremajorthanmajor/Ed9/4 - Revision history

BudjarnLambeth: Redirected page to Ed9/4

2025-05-22T03:23:29Z

Redirected page to Ed9/4

2025-05-22T03:22:27Z

← Older revision		Revision as of 03:22, 22 May 2025
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	~~{{Editable user page}}~~
	The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4\|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps.		The '''equal division of 9/4''' ('''ed9/4''') is a [[tuning]] obtained by dividing the [[9/4\|Pythagorean ninth (9/4)]] in a certain number of [[equal]] steps.

2025-05-22T03:21:17Z

2025-05-22T03:21:02Z

2025-05-22T02:54:54Z

45ed9/4

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	=== 45ed9/4 ===		=== 45ed9/4 ===
	Very similar to [[61edt]] but improves on its approximations of [[JI]], with better ~~harmonics~~ 2, 5, 7, 11, 13, 17, 19 ''and'' 23 compared to 61edt.		Very similar to [[61edt]] but improves on its approximations of [[JI]], with slightly better approximations of primes 2, 5, 7, 11, 13, 17, 19 ''and'' 23 compared to 61edt.

			Compared to the nearest edo ([[38edo]]), it has a much worse prime 2 or course, but it has dramatically better primes 3, 7 and 11, and slightly better 13, 17, 19, 23 and even 29 compared to 38edo. It does however have a worse 5/1, but only slightly.

	Every other step of [[45edf]].		Every other step of [[45edf]].

2025-05-22T02:50:46Z

45ed9/4

← Older revision		Revision as of 02:50, 22 May 2025
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	=== 45ed9/4 ===		=== 45ed9/4 ===
	Very similar to [[61edt]] but improves on its approximations of [[JI]].		Very similar to [[61edt]] but improves on its approximations of [[JI]], with better harmonics 2, 5, 7, 11, 13, 17, 19 ''and'' 23 compared to 61edt.

	Every other step of [[45edf]].		Every other step of [[45edf]].

2025-05-22T02:46:35Z

20ed9/4

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	{{main\|11ed9/4}}		{{main\|11ed9/4}}
	Every other step of [[11edf]] (almost exactly every other step of [[Carlos Beta]]).		Every other step of [[11edf]] (almost exactly every other step of [[Carlos Beta]]).

	~~=== 20ed9/4 ===~~
	~~Every other step of [[20edf]] (almost exactly every other step of [[Carlos Gamma]]).~~
	~~{{Harmonics in equal\|11\|9\|4\|intervals=integer}}~~

	=== 29ed9/4 ===		=== 29ed9/4 ===

2025-05-22T02:37:03Z

Equivalence

← Older revision		Revision as of 02:37, 22 May 2025
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	=== Equivalence ===		=== Equivalence ===
	Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2 equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though ~~this~~ is ~~quite~~ controversial. If that is the case, then perhaps in a similar ~~scale that also has no 3/2~~, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2. ~~Most composers and theorists consider this unlikely,~~ though.		Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2-equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though that claim is controversial. If that is the case though, then perhaps in a similar situation, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2. This is usually not really the point of using ed9/4 though as discussed above.

	== Important ed9/4s ==		== Important ed9/4s ==

2025-05-22T02:34:11Z

43ed9/4

← Older revision		Revision as of 02:34, 22 May 2025
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	=== 43ed9/4 ===		=== 43ed9/4 ===
			The smallest ed9/4 with a truly great approximation of full [[11-limit]] JI (let alone all the way up to the full [[23-limit]]).

	A compromise between [[58edt]] and [[37edo]], combining the benefits and drawbacks of both systems while being audibly different from either.		A compromise between [[58edt]] and [[37edo]], combining the benefits and drawbacks of both systems while being audibly different from either.

2025-05-22T02:20:33Z

Equivalence

← Older revision		Revision as of 02:20, 22 May 2025
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	=== Equivalence ===		=== Equivalence ===
	Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2 equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though this is quite controversial. If that is the case, then perhaps in a similar scale that also has no 3/2, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2.		Few would argue that 9/4 itself could be heard as an equivalence. Some might argue that some degree of 3/2 equivalence may be possible in a scale which has no 2/1, 3/1, or 4/1, though this is quite controversial. If that is the case, then perhaps in a similar scale that also has no 3/2, 9/4 may have some form of faint equivalence as it might sound like two periods of 3/2. Most composers and theorists consider this unlikely, though.

	== Important ed9/4s ==		== Important ed9/4s ==

← Older revision		Revision as of 03:21, 22 May 2025
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	{{todo\|inline=1\|explain edonoi\|text=Most people do not think 5/3 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}}		{{todo\|inline=1\|explain edonoi\|text=Most people do not think 9/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}}

← Older revision		Revision as of 03:21, 22 May 2025
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	{{todo\|~~review~~}}		{{todo\|inline=1\|explain edonoi\|text=Most people do not think 5/3 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}}