22ed7/4 - Revision history

BudjarnLambeth: /* Harmonics */

2025-11-08T09:58:54Z

Harmonics

← Older revision		Revision as of 09:58, 8 November 2025
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	* 2.3.5.14.11.13		* 2.3.5.14.11.13
	Though other interpretations could be possible as well.		Though other interpretations could be possible as well.

	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 22		\| steps = 22

2025-11-08T09:58:45Z

← Older revision		Revision as of 09:58, 8 November 2025
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	It is a heavily [[Octave shrinking\|octave-compressed]] version of [[27edo]].		It is a heavily [[Octave shrinking\|octave-compressed]] version of [[27edo]].

			== Intervals ==
			{{Interval table}}

			== Harmonics ==
	Compared to 27edo:		Compared to 27edo:
	* [[Prime]]s 11 and 13 are much more accurate		* [[Prime]]s 11 and 13 are much more accurate
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	22ed7/4's mapping of prime 2 is very inconsistent. This might not necessarily be a bad thing, as it might allow for the perceived [[octave equivalence]] to fall on different scale degrees each octave or two. This could make each perceived octave sound different to the last, which may make the music more interesting to listen to in the hands of a skilled composer.		22ed7/4's mapping of prime 2 is very inconsistent. This might not necessarily be a bad thing, as it might allow for the perceived [[octave equivalence]] to fall on different scale degrees each octave or two. This could make each perceived octave sound different to the last, which may make the music more interesting to listen to in the hands of a skilled composer.

	~~== Intervals ==~~		Possible [[JI subgroup]]s for interpreting 22ed7/4 could be:
	~~{{Interval table}}~~		* 2.3.5.7/2.11.13
			or
			* 2.3.5.14.11.13
			Though other interpretations could be possible as well.

	~~== Harmonics ==~~
	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 22		\| steps = 22

2025-11-08T09:23:57Z

← Older revision		Revision as of 09:23, 8 November 2025
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	\| title = 27edo for comparison (cont.)		\| title = 27edo for comparison (cont.)
	}}		}}

			== Scales ==
			* [[User:BudjarnLambeth/Subsets of 22ed7/4]]

2025-11-08T08:50:27Z

← Older revision		Revision as of 08:50, 8 November 2025
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	While 27edo is quite close to the zeta peak [[zpi\|106zpi]], 22ed7/4 is quite close to the zeta peak [[zpi\|107zpi]].		While 27edo is quite close to the zeta peak [[zpi\|106zpi]], 22ed7/4 is quite close to the zeta peak [[zpi\|107zpi]].

			22ed7/4's mapping of prime 2 is very inconsistent. This might not necessarily be a bad thing, as it might allow for the perceived [[octave equivalence]] to fall on different scale degrees each octave or two. This could make each perceived octave sound different to the last, which may make the music more interesting to listen to in the hands of a skilled composer.

	== Intervals ==		== Intervals ==
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	\| title = 27edo for comparison (cont.)		\| title = 27edo for comparison (cont.)
	}}		}}

	~~{{Stub}}~~

2025-11-08T08:45:29Z

← Older revision		Revision as of 08:45, 8 November 2025
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	* The mapping of primes 2, 3, 5 and 7 is the same as 27edo		* The mapping of primes 2, 3, 5 and 7 is the same as 27edo
	* The mapping of primes 11, 13, 17, 19 and 23 is different from 27edo		* The mapping of primes 11, 13, 17, 19 and 23 is different from 27edo

			While 27edo is quite close to the zeta peak [[zpi\|106zpi]], 22ed7/4 is quite close to the zeta peak [[zpi\|107zpi]].

	== Intervals ==		== Intervals ==

2025-11-08T08:43:17Z

← Older revision		Revision as of 08:43, 8 November 2025
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	It is a heavily [[Octave shrinking\|octave-compressed]] version of [[27edo]].		It is a heavily [[Octave shrinking\|octave-compressed]] version of [[27edo]].

			Compared to 27edo:
			* [[Prime]]s 11 and 13 are much more accurate
			* Primes 2 and 7 are much less accurate
			* Other primes have roughly similar accuracy
			and
			* The mapping of primes 2, 3, 5 and 7 is the same as 27edo
			* The mapping of primes 11, 13, 17, 19 and 23 is different from 27edo

	== Intervals ==		== Intervals ==

2025-11-08T08:38:50Z

Harmonics

2025-11-08T08:37:38Z

← Older revision		Revision as of 08:37, 8 November 2025
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	~~{{Stub}}~~
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}
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	\| title = 27edo for comparison (cont.)		\| title = 27edo for comparison (cont.)
	}}		}}

			{{Stub}}

2025-11-08T08:37:28Z

Someone mentioned this tuning in the scales channel in the XA Discord so I'm expanding the page a little

@@ Line 2: / Line 2: @@
 {{Infobox ET}}
 {{ED intro}}
 == Intervals ==
@@ Line 18: / Line 20: @@
 | start = 12
 | collapsed = 1
 }}

2024-10-04T09:02:23Z

Intro inter harm