31ed6 - Revision history

FloraC: - abuse of quotation marks; - redundant category

2025-06-11T12:49:16Z

- abuse of quotation marks; - redundant category

← Older revision		Revision as of 12:49, 11 June 2025
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	== Theory ==		== Theory ==
	31ed6 is not a "true" xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.		31ed6 is not a true xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.

	=== Harmonics ===		=== Harmonics ===
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	[[Category:12edo]]		[[Category:12edo]]
	~~[[Category:Macrotonal]]~~

ArrowHead294: /* See also */

2025-06-10T13:27:04Z

ArrowHead294 at 13:17, 10 June 2025

2025-06-10T13:17:25Z

← Older revision		Revision as of 13:17, 10 June 2025
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	== Theory ==		== Theory ==
	31ed6 is not a ~~truly~~ xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.		31ed6 is not a "true" xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.

	=== Harmonics ===		=== Harmonics ===
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	* [[43ed12]] – relative ed12		* [[43ed12]] – relative ed12

	[[~~category~~:Macrotonal]]		[[Category:12edo]]
			[[Category:Macrotonal]]

FloraC: /* See also */ -typo

2025-01-15T13:49:15Z

FloraC: /* Theory */ +subsets and supersets

2025-01-15T13:48:46Z

Theory: +subsets and supersets

← Older revision		Revision as of 13:48, 15 January 2025
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	{{Harmonics in equal\|31\|6\|1\|columns=12}}		{{Harmonics in equal\|31\|6\|1\|columns=12}}
	{{Harmonics in equal\|31\|6\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 31ed6 (continued)}}		{{Harmonics in equal\|31\|6\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 31ed6 (continued)}}

			=== Subsets and supersets ===
			31ed6 is the 11th [[prime equal division\|prime ed6]], following [[29ed6]] and before [[37ed6]].

	== See also ==		== See also ==

FloraC: Cleanup

2025-01-15T13:47:31Z

Cleanup

← Older revision		Revision as of 13:47, 15 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed6\|Division of the sixth harmonic]] into 31 equal parts''' (31ED6) is very nearly identical to [[12edo\|12 EDO]], but with the [[6/1]] rather than the 2/1 being just. The octave is about 0.7568 [[cent]]s stretched and the step size is about 100.0631 cents.		{{ED intro}}

	==~~Harmonics~~==		== Theory ==
	~~{{Harmonics in equal\|31\|~~6\|1~~\|prec=~~2~~\|columns=15}}~~		31ed6 is not a truly xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.

	== ~~Division of~~ 6/1 ~~into~~ 31 ~~equal parts~~ ==		=== Harmonics ===
	~~Note: 31 equal divisions~~ of ~~the hexatave is not a "real" xenharmonic tuning; it is a slightly stretched version~~ (~~with an octave of 1200.8 cents~~) ~~of the normal [[12edo\|12-tone scale]], similar to [[19ed3\|19ED3]].~~		{{Harmonics in equal\|31\|6\|1\|columns=12}}
			{{Harmonics in equal\|31\|6\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 31ed6 (continued)}}

	== See also ==		== See also ==
	* [[7edf~~\|7EDF~~]] ~~–~~ relative ~~ED3~~/2		* [[7edf]] – relative ed3/2
	* [[12edo~~\|12EDO~~]] ~~–~~ relative ~~EDO~~		* [[12edo]] – relative edo
	* [[19ed3~~\|19ED3~~]] ~~–~~ relative ~~ED3~~		* [[19ed3]] – relative ed3
	* [[28ed5~~\|28ED5~~]] ~~–~~ relative ~~ED5~~		* [[28ed5]] – relative ed5
	* [[34ed7~~\|34ED7~~]] ~~–~~ relative ~~ED7~~		* [[34ed7]] – relative ed7
	* [[40ed10~~\|40ED10~~]] ~~–~~ relative ~~ED10~~		* [[40ed10]] – relative ed10
	* [[43ed12~~\|43ED12~~]] ~~–~~ relative ~~ED12~~		* [[43ed12]] – relative edD12

	~~[[Category:Ed6]]~~
	~~[[Category:Edonoi]]~~
	[[category:Macrotonal]]		[[category:Macrotonal]]

ArrowHead294: /* See also */

2024-05-17T12:13:58Z

ArrowHead294: /* See also */

2024-05-17T12:13:14Z

ArrowHead294 at 17:07, 9 May 2024

2024-05-09T17:07:52Z

← Older revision		Revision as of 17:07, 9 May 2024
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	==Harmonics==		==Harmonics==
	{{Harmonics in equal\|31\|6\|1\|prec=2}}		{{Harmonics in equal\|31\|6\|1\|prec=2\|columns=15}}

	== Division of 6/1 into 31 equal parts ==		== Division of 6/1 into 31 equal parts ==

ArrowHead294 at 13:09, 7 May 2024

2024-05-07T13:09:29Z

← Older revision		Revision as of 13:09, 7 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed6\|Division of the sixth harmonic]] into 31 equal parts''' (31ED6) is very nearly identical to [[12edo\|12 EDO]], but with the [[6/1]] rather than the 2/1 being just. The octave is about 0.7568 [[cent]]s stretched and the step size is about 100.0631 cents.		'''[[Ed6\|Division of the sixth harmonic]] into 31 equal parts''' (31ED6) is very nearly identical to [[12edo\|12 EDO]], but with the [[6/1]] rather than the 2/1 being just. The octave is about 0.7568 [[cent]]s stretched and the step size is about 100.0631 cents.

			==Harmonics==
			{{Harmonics in equal\|31\|6\|1\|prec=2}}

	== Division of 6/1 into 31 equal parts ==		== Division of 6/1 into 31 equal parts ==

← Older revision		Revision as of 12:13, 17 May 2024
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	== See also ==		== See also ==
			* [[7edf\|7EDF]] – relative ED3/2
	* [[12edo\|12EDO]] – relative EDO		* [[12edo\|12EDO]] – relative EDO
	* [[19ed3\|19ED3]] – relative ED3		* [[19ed3\|19ED3]] – relative ED3

← Older revision		Revision as of 12:13, 17 May 2024
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	== See also ==		== See also ==
	* [[12edo\|12EDO]] - relative EDO		* [[12edo\|12EDO]] – relative EDO
	* [[19ed3\|19ED3]] - relative ED3		* [[19ed3\|19ED3]] – relative ED3
	* [[28ed5\|28ED5]] - relative ED5		* [[28ed5\|28ED5]] – relative ED5
	* [[34ed7\|34ED7]] - relative ED7		* [[34ed7\|34ED7]] – relative ED7
	* [[40ed10\|40ED10]] - relative ED10		* [[40ed10\|40ED10]] – relative ED10
			* [[43ed12\|43ED12]] – relative ED12

	[[Category:Ed6]]		[[Category:Ed6]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[category:Macrotonal]]		[[category:Macrotonal]]

← Older revision		Revision as of 13:27, 10 June 2025
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	* [[40ed10]] – relative ed10		* [[40ed10]] – relative ed10
	* [[43ed12]] – relative ed12		* [[43ed12]] – relative ed12
			* [[76ed80]] – close to the zeta-optimized tuning for 12edo
			* [[1ed18/17\|AS18/17]] – relative [[AS\|ambitonal sequence]]

	[[Category:12edo]]		[[Category:12edo]]
	[[Category:Macrotonal]]		[[Category:Macrotonal]]

← Older revision		Revision as of 13:49, 15 January 2025
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	== See also ==		== See also ==
	* [[7edf]] – relative ~~ed3/2~~		* [[7edf]] – relative edf
	* [[12edo]] – relative edo		* [[12edo]] – relative edo
	* [[19ed3]] – relative ed3		* [[19ed3]] – relative ed3
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	* [[34ed7]] – relative ed7		* [[34ed7]] – relative ed7
	* [[40ed10]] – relative ed10		* [[40ed10]] – relative ed10
	* [[43ed12]] – relative ~~edD12~~		* [[43ed12]] – relative ed12

	[[category:Macrotonal]]		[[category:Macrotonal]]