53edt - Revision history

FloraC: Adopt standard layout. - dubious stuff

2026-01-02T13:10:22Z

Adopt standard layout. - dubious stuff

2026-01-02T04:06:50Z

removed note, added body text instead

← Older revision		Revision as of 04:06, 2 January 2026
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	\| start = 12		\| start = 12
	\| collapsed = 1		\| collapsed = 1
	}}		}}Notably, 7/4 is a [[generator]] of 53edt.

	== Intervals ==		== Intervals ==
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	\| 662.26415		\| 662.26415
	\| [[7/4]]		\| [[7/4]]
	\| Off by ~0.104¢~~<ref group=Note name=Note01/>~~		\| Off by ~0.104¢
	\|-		\|-
	\| 28		\| 28
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	\|		\|
	\|}		\|}

	~~==Notes==~~
	~~{{reflist\|group=Note\|refs=<references group="Note"/>~~
	~~<ref name=Note01>7/4 is notably a generator of this scale</ref></references>~~
	}}

2026-01-02T04:04:08Z

← Older revision		Revision as of 04:04, 2 January 2026
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	==Notes==		==Notes==
	{{reflist\|group=Note\|refs=		{{reflist\|group=Note\|refs=<references group="Note"/>
	<ref name=Note01>7/4 is notably a generator of this scale</ref>		<ref name=Note01>7/4 is notably a generator of this scale</ref></references>
	}}		}}

2026-01-02T04:02:51Z

Changed formatting in the Notes section that appears to be broken??? for some reason??? tbf idk what im doing

← Older revision		Revision as of 04:02, 2 January 2026
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	==Notes==		==Notes==
	{{reflist\|group=Note\|refs=		{{reflist\|group=Note\|refs=
	<ref name=Note01>7/4 is notably a [[generator]] of this scale</ref>		<ref name=Note01>7/4 is notably a generator of this scale</ref>
	}}		}}

2026-01-02T04:01:18Z

Added a note about 7/4 being a generator of 53edt

← Older revision		Revision as of 04:01, 2 January 2026
Line 189:		Line 189:
	\| 662.26415		\| 662.26415
	\| [[7/4]]		\| [[7/4]]
	\| Off by ~0.104¢		\| Off by ~0.104¢<ref group=Note name=Note01/>
	\|-		\|-
	\| 28		\| 28
Line 347:		Line 347:
	\|		\|
	\|}		\|}

			==Notes==
			{{reflist\|group=Note\|refs=
			<ref name=Note01>7/4 is notably a [[generator]] of this scale</ref>
			}}

2026-01-02T03:56:42Z

Added a comment on the approximation of 7/4

2025-08-01T19:23:09Z

2025-07-31T15:31:34Z

2025-02-21T15:11:41Z

← Older revision		Revision as of 15:11, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''53EDT''' is the [[Edt\|equal division of the third harmonic]] into 53 parts of 35.8859 [[cent\|cents]] each, corresponding to 33.4393 [[edo]]. It has a generally sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, and 17 are all sharp. It tempers out 413343/390625 and 823543/820125 in the 7-limit; 891/875, 3087/3025, and 164025/161051 in the 11-limit; 637/625, 729/715, 847/845, and 1575/1573 in the 13-limit; 189/187, 429/425, 459/455, and 833/825 in the 17-limit; 171/169, 247/245, 361/357, and 855/847 in the 19-limit (no-twos subgroup).		'''53EDT''' is the [[Edt\|equal division of the third harmonic]] into 53 parts of 35.8859 [[cent\|cents]] each, corresponding to 33.4393 [[edo]]. It has a generally sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, and 17 are all sharp. It tempers out 413343/390625 and 823543/820125 in the 7-limit; [[891/875\|891/875,]] 3087/3025, and 164025/161051 in the 11-limit; 637/625, 729/715, 847/845, and 1575/1573 in the 13-limit; 189/187, 429/425, 459/455, and 833/825 in the 17-limit; 171/169, 247/245, 361/357, and 855/847 in the 19-limit (no-twos subgroup).

	== Harmonics ==		== Harmonics ==

2025-01-14T18:38:41Z