43ed12 - Revision history

FloraC: Cleanup & expand

2025-06-11T12:48:09Z

Cleanup & expand

← Older revision		Revision as of 12:48, 11 June 2025
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	{{ED intro}}		{{ED intro}}

	43ed12 is very nearly identical to [[12edo]], but with the [[12/1]] ~~rather than the 2/1~~ being just. The octave is about 0.55 [[cent]]s stretched and the ~~step size is about 100~~.~~045 cents~~.		== Theory ==
			43ed12 is very nearly identical to [[12edo]], but with the 12th harmonic rather than the [[2/1\|octave]] being just. The octave is about 0.546 [[cent]]s stretched.

			=== Harmonics ===
			{{Harmonics in equal\|43\|12\|1\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|43\|12\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 43ed12 (continued)}}

			=== Subsets and supersets ===
			43ed12 is the 14th [[prime equal division\|prime ed12]]. It does not contain any nontrivial subset ed12's.

	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

	~~== Harmonics ==~~
	~~{{Harmonics in equal~~
	~~\| steps = 43~~
	~~\| num = 12~~
	~~\| denom = 1~~
	}}
	~~{{Harmonics in equal~~
	~~\| steps = 43~~
	~~\| num = 12~~
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	}}

	== See also ==		== See also ==
	* [[7edf~~\|7EDF~~]] – relative ~~ED3/2~~		* [[7edf]] – relative edf
	* [[12edo~~\|12EDO~~]] – relative ~~EDO~~		* [[12edo]] – relative edo
	* [[~~19ed3\|19ED3~~]] – relative ~~ED3~~		* [[19edt]] – relative edt
	* [[28ed5~~\|28ED5~~]] – relative ~~ED5~~		* [[28ed5]] – relative ed5
	* [[31ed6~~\|31ED6~~]] – relative ~~ED6~~		* [[31ed6]] – relative ed6
	* [[34ed7~~\|34ED7~~]] – relative ~~ED7~~		* [[34ed7]] – relative ed7
	* [[40ed10\|~~40ED10~~]] – relative ~~ED10~~		* [[40ed10]] – relative ed10
			* [[76ed80]] – close to the zeta-optimized tuning for 12edo
			* [[1ed18/17\|AS18/17]] – relative [[AS\|ambitonal sequence]]

	[[Category:12edo]]		[[Category:12edo]]
	~~[[Category:Edonoi]]~~

ArrowHead294 at 13:20, 10 June 2025

2025-06-10T13:20:43Z

← Older revision		Revision as of 13:20, 10 June 2025
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	* [[40ed10\|40ED10]] – relative ED10		* [[40ed10\|40ED10]] – relative ED10

			[[Category:12edo]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

ArrowHead294 at 13:21, 21 January 2025

2025-01-21T13:21:39Z

← Older revision		Revision as of 13:21, 21 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[Ed12\|Division of the twelfth harmonic]] into 43 equal parts''' (43ED12)~~ is very nearly identical to [[12edo~~\|12 EDO~~]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 100.045 cents.		{{ED intro}}

			43ed12 is very nearly identical to [[12edo]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 100.045 cents.

	== Intervals ==		== Intervals ==
Line 19:		Line 21:
	}}		}}

	==See also==		== See also ==
	* [[7edf\|7EDF]] ~~–~~ relative ED3/2		* [[7edf\|7EDF]] – relative ED3/2
	* [[12edo\|12EDO]] ~~–~~ relative EDO		* [[12edo\|12EDO]] – relative EDO
	* [[19ed3\|19ED3]] ~~–~~ relative ED3		* [[19ed3\|19ED3]] – relative ED3
	* [[28ed5\|28ED5]] ~~–~~ relative ED5		* [[28ed5\|28ED5]] – relative ED5
	* [[31ed6\|31ED6]] ~~–~~ relative ED6		* [[31ed6\|31ED6]] – relative ED6
	* [[34ed7\|34ED7]] ~~–~~ relative ED7		* [[34ed7\|34ED7]] – relative ED7
	* [[40ed10\|40ED10]] ~~–~~ relative ED10		* [[40ed10\|40ED10]] – relative ED10

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

BudjarnLambeth: Intervals harmonics

2024-11-30T02:06:16Z

Intervals harmonics

@@ Line 2: / Line 2: @@
 '''[[Ed12|Division of the twelfth harmonic]] into 43 equal parts''' (43ED12) is very nearly identical to [[12edo|12 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 100.045 cents.
-==Harmonics==
+== Intervals ==
-{{Harmonics in equal|43|12|1|prec=2|columns=15}}
+{{Interval table}}
 ==See also==

ArrowHead294 at 12:15, 17 May 2024

2024-05-17T12:15:37Z

← Older revision		Revision as of 12:15, 17 May 2024
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	==Harmonics==		==Harmonics==
	{{Harmonics in equal\|43\|12\|1\|prec=2\|columns=15}}		{{Harmonics in equal\|43\|12\|1\|prec=2\|columns=15}}

			==See also==
			* [[7edf\|7EDF]] – relative ED3/2
			* [[12edo\|12EDO]] – relative EDO
			* [[19ed3\|19ED3]] – relative ED3
			* [[28ed5\|28ED5]] – relative ED5
			* [[31ed6\|31ED6]] – relative ED6
			* [[34ed7\|34ED7]] – relative ED7
			* [[40ed10\|40ED10]] – relative ED10

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

ArrowHead294 at 17:07, 9 May 2024

2024-05-09T17:07:36Z

← Older revision		Revision as of 17:07, 9 May 2024
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	==Harmonics==		==Harmonics==
	{{Harmonics in equal\|43\|12\|1\|prec=2}}		{{Harmonics in equal\|43\|12\|1\|prec=2\|columns=15}}

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

ArrowHead294: Created page with

2024-05-09T14:44:04Z

Created page with

New page

{{Infobox ET}}
'''[[Ed12|Division of the twelfth harmonic]] into 43 equal parts''' (43ED12) is very nearly identical to [[12edo|12 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 100.045 cents.

==Harmonics==
{{Harmonics in equal|43|12|1|prec=2}}

[[Category:Edonoi]]