Ed12 - Revision history

Overthink: /* Individual pages for ed12's */ update

2026-01-18T21:52:19Z

Individual pages for ed12's: update

← Older revision		Revision as of 21:52, 18 January 2026
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	; 200 and beyond		; 200 and beyond
	* [[258ed12\|258]]		[[201ed12\|201]], [[258ed12\|258]]

	<!-- Uncomment this when there are more pages		<!-- Uncomment this when there are more pages

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:39:41Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:39, 1 August 2025
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	[[Category:Ed12's\| ]]		[[Category:Ed12's\| ]]
	<!-- main article -->		<!-- main article -->
	~~[[Category:Edonoi]]~~
	[[Category:List of scales]]		[[Category:List of scales]]

Fredg999 category edits: Moving from Category:Ed12 to Category:Ed12's using Cat-a-lot

2025-08-01T18:36:29Z

Moving from Category:Ed12 to Category:Ed12's using Cat-a-lot

← Older revision		Revision as of 18:36, 1 August 2025
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	-->		-->

	[[Category:Ed12\| ]] <!-- main article -->		[[Category:Ed12's\| ]]
			<!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:List of scales]]		[[Category:List of scales]]

FloraC: Sort category key

2025-05-22T17:29:23Z

Sort category key

← Older revision		Revision as of 17:29, 22 May 2025
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	-->		-->

			[[Category:Ed12\| ]] <!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	~~[[Category:Ed12]]~~
	[[Category:List of scales]]		[[Category:List of scales]]

FloraC: Address how it optimizes for a 3-limit chord. I think this is enough of a case for its notability

2025-05-22T11:26:56Z

Address how it optimizes for a 3-limit chord. I think this is enough of a case for its notability

← Older revision		Revision as of 11:26, 22 May 2025
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	The twelfth harmonic, duodecuple, or dodecatave, is particularly wide as far as [[equivalence]]s go, as there are at absolute most about 3.1 instances of the 12th harmonic within the [[human hearing range]]. This width means that the listener probably will not hear the interval as an equivalence, but instead will hear the [[pseudo-octave]] or pseudo-tritave or similar as one – this disconnect between period versus equivalence could be used by a composer to surprise their listener, in a similar way that [[13edo]] can be used to make melodies that sound like [[12edo]], until they suddenly do not.		The twelfth harmonic, duodecuple, or dodecatave, is particularly wide as far as [[equivalence]]s go, as there are at absolute most about 3.1 instances of the 12th harmonic within the [[human hearing range]]. This width means that the listener probably will not hear the interval as an equivalence, but instead will hear the [[pseudo-octave]] or pseudo-tritave or similar as one – this disconnect between period versus equivalence could be used by a composer to surprise their listener, in a similar way that [[13edo]] can be used to make melodies that sound like [[12edo]], until they suddenly do not.

	However, using ed12's does not necessarily imply using the 12th harmonic as an interval of equivalence. The quintessential reason for using a 12th-harmonic based tuning is that it is a compromise between [[2/1\|octave]] and [[3/1\|twelfth]] based tunings, like an [[ed6]] – but ed12 leans more towards octaves than ed6 does. An ed12 ~~sometimes gives you~~ the ~~right amount~~ of [[~~stretched and compressed tuning\|stretch~~]] ~~for equal temperaments whose~~ 3 ~~is more inaccurate than its higher [[prime interval\|primes]]~~.		However, using ed12's does not necessarily imply using the 12th harmonic as an interval of equivalence. The quintessential reason for using a 12th-harmonic based tuning is that it is a compromise between [[2/1\|octave]] and [[3/1\|twelfth]] based tunings, like an [[ed6]] – but ed12 leans more towards octaves than ed6 does. In fact, ed12's optimize for the 1:2:3:4:6:12 chord, with equal magnitudes and opposite signs of [[error]] on 3 and 4 and on 2 and 6.

	Here for example, you can choose how much you wish to stretch [[31edo]] depending on your harmonic style: [[80ed6]] vs [[111ed12]].		As such, an ed12 sometimes gives you the right amount of [[stretched and compressed tuning\|stretch]] for equal temperaments whose 3 is more inaccurate than its higher [[prime interval\|primes]]. Here for example, you can choose how much you wish to stretch [[31edo]] depending on your harmonic style: [[80ed6]] vs [[111ed12]].

	== Individual pages for ed12's ==		== Individual pages for ed12's ==
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	[[Category:Ed12]]		[[Category:Ed12]]
	[[Category:List of scales]]		[[Category:List of scales]]


	{{todo\|inline=1\|explain edonoi\|text=Most people do not think 12/1 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.}}

FloraC: Rework following the format of ed6 article. - irrelevant stuff. Recategorize

2025-05-22T11:08:36Z

Rework following the format of ed6 article. - irrelevant stuff. Recategorize

Show changes

BudjarnLambeth: /* Table of Ed12s */

2025-05-22T03:21:39Z

Table of Ed12s

← 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 12/1 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.}}

BudjarnLambeth: Todo

2025-05-22T03:20:13Z

Todo

← Older revision		Revision as of 03:20, 22 May 2025
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	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Ed12]]		[[Category:Ed12]]


			{{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.}}

BudjarnLambeth at 00:54, 22 May 2025

2025-05-22T00:54:38Z

← Older revision		Revision as of 00:54, 22 May 2025
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	~~{{Editable user page}}~~
	'''Ed12''' means '''division of the twelfth harmonic ([[12/1]]) into n equal parts'''.		'''Ed12''' means '''division of the twelfth harmonic ([[12/1]]) into n equal parts'''.

BudjarnLambeth: BudjarnLambeth moved page User:BudjarnLambeth/Ed12 to Ed12 over redirect

2025-05-22T00:54:22Z

BudjarnLambeth moved page User:BudjarnLambeth/Ed12 to Ed12 over redirect

← Older revision	Revision as of 00:54, 22 May 2025
(No difference)