97ed12 - Revision history

ArrowHead294: /* See also */

2025-06-25T19:10:08Z

2025-06-19T15:28:34Z

Theory

← Older revision		Revision as of 15:28, 19 June 2025
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	== Theory ==		== Theory ==
	97ed12 is closely related to [[27edo]], but with the 12th harmonic rather than the [[2/1\|octave]] being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.		97ed12 is closely related to [[27edo]], but with the 12th harmonic rather than the [[2/1\|octave]] being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}. The harmonics that 27edo approximates accurately—3, 5, 7, 13, and 19—are all tuned significantly sharper than just, and 97ed12 improves these approximations.

	=== Harmonics ===		=== Harmonics ===

2025-06-10T13:21:24Z

2025-05-27T10:36:39Z

Theory: very nearly identical -> closely related. Misc. cleanup

← Older revision		Revision as of 10:36, 27 May 2025
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	== Theory ==		== Theory ==
	97ed12 is ~~very nearly identical~~ to [[27edo]], but with the [[12/1]] ~~rather than the 2/1~~ being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.		97ed12 is closely related to [[27edo]], but with the 12th harmonic rather than the [[2/1\|octave]] being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.

	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|97\|12\|1}}		{{Harmonics in equal\|97\|12\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|97\|12\|1\|~~start~~=12\|~~columns~~=12\|collapsed=true\|title=Approximation of harmonics in 97ed12 (continued)}}		{{Harmonics in equal\|97\|12\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 97ed12 (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	97ed12 is the 25th [[prime equal division\|prime ed12]], following 89ed12 and before 101ed12.		97ed12 is the 25th [[prime equal division\|prime ed12]], following 89ed12 and before 101ed12, so it does not contain any nontrivial subset ed12's.

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

2025-03-04T08:17:31Z

2025-03-04T08:16:00Z

+subsets and supersets; +see also

← Older revision		Revision as of 08:16, 4 March 2025
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	{{ED intro}}		{{ED intro}}

			== Theory ==
	97ed12 is very nearly identical to [[27edo]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.		97ed12 is very nearly identical to [[27edo]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.

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	{{Harmonics in equal\|97\|12\|1}}		{{Harmonics in equal\|97\|12\|1}}
	{{Harmonics in equal\|97\|12\|1\|start=12\|columns=12\|collapsed=true\|title=Approximation of harmonics in 97ed12 (continued)}}		{{Harmonics in equal\|97\|12\|1\|start=12\|columns=12\|collapsed=true\|title=Approximation of harmonics in 97ed12 (continued)}}

			=== Subsets and supersets ===
			97ed12 is the 25th [[prime equal division\|prime ed12]], following 89ed12 and before 101ed12.

			== See also ==
			* [[27edo]] – relative edo
			* [[41edt]] – relative edt
			* [[70ed6]] – relative ed6

2025-03-04T08:12:45Z

Cleanup

← Older revision		Revision as of 08:12, 4 March 2025
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	{{ED intro}}		{{ED intro}}

	97ed12 is very nearly identical to [[27edo~~\|27 EDO~~]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.		97ed12 is very nearly identical to [[27edo]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.

	== Harmonics ==		=== Harmonics ===
	{{Harmonics in equal\|97\|12\|1\|~~prec~~=2\|columns=15}}		{{Harmonics in equal\|97\|12\|1}}
			{{Harmonics in equal\|97\|12\|1\|start=12\|columns=12\|collapsed=true\|title=Approximation of harmonics in 97ed12 (continued)}}
	~~[[Category:Edonoi]]~~

2025-02-25T15:00:27Z

← Older revision		Revision as of 15:00, 25 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed12\|Division of the twelfth harmonic]] into 97 equal parts''' (97ED12) is very nearly identical to [[27edo\|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.45 [[cent]]s [[stretched and compressed tuning\|compressed]] and the step size is about 44.35 cents.		{{ED intro}}

	==Harmonics==		97ed12 is very nearly identical to [[27edo\|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning\|compresses the octave]] by about 2.45{{c}}.

			== Harmonics ==
	{{Harmonics in equal\|97\|12\|1\|prec=2\|columns=15}}		{{Harmonics in equal\|97\|12\|1\|prec=2\|columns=15}}

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

2024-05-16T13:05:55Z

← Older revision		Revision as of 13:05, 16 May 2024
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	==Harmonics==		==Harmonics==
	{{Harmonics in equal\|97\|12\|1\|prec=2\|columns=23}}		{{Harmonics in equal\|97\|12\|1\|prec=2\|columns=15}}

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

2024-05-15T18:07:49Z

← Older revision		Revision as of 18:07, 15 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed12\|Division of the ~~sixth~~ harmonic]] into 97 equal parts''' (~~97ED6~~) is very nearly identical to [[27edo\|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.45 [[cent]]s [[stretched and compressed tuning\|compressed]] and the step size is about 44.35 cents.		'''[[Ed12\|Division of the twelfth harmonic]] into 97 equal parts''' (97ED12) is very nearly identical to [[27edo\|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.45 [[cent]]s [[stretched and compressed tuning\|compressed]] and the step size is about 44.35 cents.

	==Harmonics==		==Harmonics==