11edf - Revision history

Xenllium at 07:10, 22 February 2026

2026-02-22T07:10:08Z

← Older revision		Revision as of 07:10, 22 February 2026
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	* [[68ed12]] – relative ed12		* [[68ed12]] – relative ed12
	* [[93ed30]] – relative ed30		* [[93ed30]] – relative ed30
			* [[Alpha, beta, and gamma family of equal divisions]]
	* [~~https://en.xen.wiki/w/Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions~~ Alpha-beta~~-gamma_family_of_equal_divisions~~]

2025-10-28T01:47:25Z

← Older revision		Revision as of 01:47, 28 October 2025
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	* [[68ed12]] – relative ed12		* [[68ed12]] – relative ed12
	* [[93ed30]] – relative ed30		* [[93ed30]] – relative ed30

			* [https://en.xen.wiki/w/Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions Alpha-beta-gamma_family_of_equal_divisions]

2025-05-31T19:34:49Z

+music

← Older revision		Revision as of 19:34, 31 May 2025
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	\| [[9/4]]		\| [[9/4]]
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "McGarfyGarf" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/2iaicUkq6EcjcGM8RioFZj Spotify] \| [https://francium223.bandcamp.com/track/mcgarfygarf Bandcamp] \| [https://www.youtube.com/watch?v=sI8X6PNOiXE YouTube]

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

2025-03-30T13:00:49Z

+see also

2025-03-30T13:00:02Z

Theory: note consistency and +subsets and supersets

← Older revision		Revision as of 13:00, 30 March 2025
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	== Theory ==		== Theory ==
	11edf corresponds to 18.8046…[[edo]]. It is similar to [[19edo]], and nearly identical to [[Carlos Beta]].		11edf corresponds to 18.8046…[[edo]]. It is similar to [[19edo]], and nearly identical to [[Carlos Beta]]. Unlike 19edo, which is [[consistent]] to the [[integer limit\|10-integer-limit]], 11edf is only consistent to the 7-integer-limit.

	While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo. At 510.51{{c}}, it is 12.47{{c}} sharper than just and 3.7{{c}} flat of that of [[7edo]].		While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo. At 510.51{{c}}, it is 12.47{{c}} sharper than just and 3.7{{c}} flat of that of [[7edo]].
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	{{Harmonics in equal\|11\|3\|2\|intervals=integer\|columns=11}}		{{Harmonics in equal\|11\|3\|2\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|11\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 11edf (continued)}}		{{Harmonics in equal\|11\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 11edf (continued)}}

			=== Subsets and supersets ===
			11edf is the fifth [[prime equal division\|prime edf]], past [[7edf]] and before [[13edf]]. It does not contain any nontrivial subset edfs.

	== Intervals ==		== Intervals ==

2025-03-30T12:56:09Z

Cleanup

2025-03-06T20:02:37Z

← Older revision		Revision as of 20:02, 6 March 2025
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	{{ED intro}} It corresponds to 18.8046[[edo]], is is similar to [[19edo]], and nearly identical to [[Carlos Beta]].		{{ED intro}} It corresponds to 18.8046[[edo]], is is similar to [[19edo]], and nearly identical to [[Carlos Beta]].

	While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo, ~~being about four cents~~ flat of that of [[7edo]].		While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo. At 510.51{{c}}, it is 12.47{{c}} sharper than just and 3.7{{c}} flat of that of [[7edo]].

	11edf represents the upper bound of the [[phoenix]] tuning range. 11edf benefits from all the desirable properties of phoenix tuning systems.		11edf represents the upper bound of the [[phoenix]] tuning range. 11edf benefits from all the desirable properties of phoenix tuning systems.

2025-01-21T13:23:57Z

2024-12-19T08:56:36Z

2024-10-27T01:05:54Z

Mention connection to phoenix

← Older revision		Revision as of 01:05, 27 October 2024
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	{{Infobox ET}}		{{Infobox ET}}

	'''~~11EDF~~''' is the [[EDF\|equal division of the just perfect fifth]] into 11 parts of 63.8141 [[cent\|cents]] each, corresponding to 18.8046 [[edo]] (similar to every fifth step of [[94edo]]). It is similar to [[19edo]] and nearly identical to [[Carlos Beta]].		'''11edf''' is the [[EDF\|equal division of the just perfect fifth]] into 11 parts of 63.8141 [[cent\|cents]] each, corresponding to 18.8046 [[edo]] (similar to every fifth step of [[94edo]]). It is similar to [[19edo]] and nearly identical to [[Carlos Beta]].

	While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo, being about four cents flat of that of [[7edo]].		While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo, being about four cents flat of that of [[7edo]].

			11edf represents the upper bound of the [[phoenix]] tuning range. 11edf benefits from all the desirable properties of phoenix tuning systems.

	==Harmonics==		==Harmonics==