78edt - Revision history

Squib: remove duplicate comma list, contorted in 3.5.7

2026-03-06T04:25:04Z

remove duplicate comma list, contorted in 3.5.7

← Older revision		Revision as of 04:25, 6 March 2026
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	{{Infobox ET}}		{{Infobox ET}}
	'''78EDT''' is the [[Edt\|equal division of the third harmonic]] into 78 parts of 24.3840 [[cent\|cents]] each, corresponding to 49.2125 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 2 (octave), 5, 7, 11, 13, 17, and 19 are all flat. It is consistent to the no-twos 19-limit, tempering out 245/243 and 3125/3087 in the 7-limit; 1331/1323, 6655/6561, and 9375/9317 in the 11-limit; 275/273, 847/845, 1575/1573, and 2197/2187 in the 13-limit; 875/867 and 2025/2023 in the 17-limit; 325/323, 363/361, 665/663, 935/931, and 1547/1539 in the 19-limit (no-twos subgroup).		'''78EDT''' is the [[Edt\|equal division of the third harmonic]] into 78 parts of 24.3840 [[cent\|cents]] each, corresponding to 49.2125 [[edo]]. It is contorted in the [[3.5.7 subgroup]], sharing [[13edt]]'s structure. It has a distinct flat tendency, in the sense that if 3 is pure, 2 (octave), 5, 7, 11, 13, 17, and 19 are all flat. It is consistent to the no-twos 19-limit, tempering out 245/243 and 3125/3087 in the 7-limit; 1331/1323, 6655/6561, and 9375/9317 in the 11-limit; 275/273, 847/845, 1575/1573, and 2197/2187 in the 13-limit; 875/867 and 2025/2023 in the 17-limit; 325/323, 363/361, 665/663, 935/931, and 1547/1539 in the 19-limit (no-twos subgroup).

	78EDT is related to [[49edo\|49 edo]], but with octave compression of 5.1821 cents. ~~Patent~~ vals match through the 11-limit, tempering out 64/63, 100/99, 245/243, and 1331/1323. 78EDT tempers out 144/143, 196/195, 275/273, 325/324, 364/363, and 572/567 in the 13-limit; 120/119, 136/135, 154/153, 170/169, and 224/221 in the 17-limit; 96/95, 190/189, and 210/209 in the 19-limit (full integer limit).		78EDT is related to [[49edo\|49 edo]], but with octave compression of 5.1821 cents. Their patent vals match only through the 11-limit.

	== Intervals ==		== Intervals ==

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:23:18Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:23, 1 August 2025
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	\| intervals = prime		\| intervals = prime
	}}		}}

	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Edt using Cat-a-lot

2025-07-31T15:31:39Z

Removing from Category:Edt using Cat-a-lot

← Older revision		Revision as of 15:31, 31 July 2025
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	}}		}}

	~~[[Category:Edt]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Add intervals split harmonics

2024-10-06T07:42:05Z

Add intervals split harmonics

@@ Line 4: / Line 4: @@
 EDT is related to [[49edo|49 edo]], but with octave compression of 5.1821 cents. Patent vals match through the 11-limit, tempering out 64/63, 100/99, 245/243, and 1331/1323. 78EDT tempers out 144/143, 196/195, 275/273, 325/324, 364/363, and 572/567 in the 13-limit; 120/119, 136/135, 154/153, 170/169, and 224/221 in the 17-limit; 96/95, 190/189, and 210/209 in the 19-limit (full integer limit).
-==Harmonics==
+== Intervals ==
-{{Harmonics in equal|78|3|1|intervals=prime}}
+{{Interval table}}
 [[Category:Edt]]
 [[Category:Edonoi]]

Lériendil at 00:15, 19 September 2024

2024-09-19T00:15:55Z

← Older revision		Revision as of 00:15, 19 September 2024
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	78EDT is related to [[49edo\|49 edo]], but with octave compression of 5.1821 cents. Patent vals match through the 11-limit, tempering out 64/63, 100/99, 245/243, and 1331/1323. 78EDT tempers out 144/143, 196/195, 275/273, 325/324, 364/363, and 572/567 in the 13-limit; 120/119, 136/135, 154/153, 170/169, and 224/221 in the 17-limit; 96/95, 190/189, and 210/209 in the 19-limit (full integer limit).		78EDT is related to [[49edo\|49 edo]], but with octave compression of 5.1821 cents. Patent vals match through the 11-limit, tempering out 64/63, 100/99, 245/243, and 1331/1323. 78EDT tempers out 144/143, 196/195, 275/273, 325/324, 364/363, and 572/567 in the 13-limit; 120/119, 136/135, 154/153, 170/169, and 224/221 in the 17-limit; 96/95, 190/189, and 210/209 in the 19-limit (full integer limit).

			==Harmonics==
			{{Harmonics in equal\|78\|3\|1\|intervals=prime}}

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

Plumtree: Infobox ET added

2022-10-05T20:05:31Z

Infobox ET added

← Older revision		Revision as of 20:05, 5 October 2022
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			{{Infobox ET}}
	'''78EDT''' is the [[Edt\|equal division of the third harmonic]] into 78 parts of 24.3840 [[cent\|cents]] each, corresponding to 49.2125 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 2 (octave), 5, 7, 11, 13, 17, and 19 are all flat. It is consistent to the no-twos 19-limit, tempering out 245/243 and 3125/3087 in the 7-limit; 1331/1323, 6655/6561, and 9375/9317 in the 11-limit; 275/273, 847/845, 1575/1573, and 2197/2187 in the 13-limit; 875/867 and 2025/2023 in the 17-limit; 325/323, 363/361, 665/663, 935/931, and 1547/1539 in the 19-limit (no-twos subgroup).		'''78EDT''' is the [[Edt\|equal division of the third harmonic]] into 78 parts of 24.3840 [[cent\|cents]] each, corresponding to 49.2125 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 2 (octave), 5, 7, 11, 13, 17, and 19 are all flat. It is consistent to the no-twos 19-limit, tempering out 245/243 and 3125/3087 in the 7-limit; 1331/1323, 6655/6561, and 9375/9317 in the 11-limit; 275/273, 847/845, 1575/1573, and 2197/2187 in the 13-limit; 875/867 and 2025/2023 in the 17-limit; 325/323, 363/361, 665/663, 935/931, and 1547/1539 in the 19-limit (no-twos subgroup).

Xenllium: Created page with "'''78EDT''' is the equal division of the third harmonic into 78 parts of 24.3840 cents each, corresponding to 49.2125 edo. It has a distinct flat tendency..."

2019-03-09T08:02:19Z

Created page with "'''78EDT''' is the equal division of the third harmonic into 78 parts of 24.3840 cents each, corresponding to 49.2125 edo. It has a distinct flat tendency..."

New page

'''78EDT''' is the [[Edt|equal division of the third harmonic]] into 78 parts of 24.3840 [[cent|cents]] each, corresponding to 49.2125 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 2 (octave), 5, 7, 11, 13, 17, and 19 are all flat. It is consistent to the no-twos 19-limit, tempering out 245/243 and 3125/3087 in the 7-limit; 1331/1323, 6655/6561, and 9375/9317 in the 11-limit; 275/273, 847/845, 1575/1573, and 2197/2187 in the 13-limit; 875/867 and 2025/2023 in the 17-limit; 325/323, 363/361, 665/663, 935/931, and 1547/1539 in the 19-limit (no-twos subgroup).

78EDT is related to [[49edo|49 edo]], but with octave compression of 5.1821 cents. Patent vals match through the 11-limit, tempering out 64/63, 100/99, 245/243, and 1331/1323. 78EDT tempers out 144/143, 196/195, 275/273, 325/324, 364/363, and 572/567 in the 13-limit; 120/119, 136/135, 154/153, 170/169, and 224/221 in the 17-limit; 96/95, 190/189, and 210/209 in the 19-limit (full integer limit).

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