134edo - Revision history

ArrowHead294 at 19:28, 20 February 2025

2025-02-20T19:28:50Z

← Older revision		Revision as of 19:28, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand comma]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		The equal temperament [[tempering out\|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand comma]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

FloraC: Ampersand -> ampersand comma to distinguish it from the temp

2025-01-18T09:15:31Z

Ampersand -> ampersand comma to distinguish it from the temp

← Older revision		Revision as of 09:15, 18 January 2025
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	{{EDO intro}}		{{EDO intro}}

	The equal temperament [[tempering out\|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		The equal temperament [[tempering out\|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand comma]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 134 factors into ~~{{factorization\|134}}~~, 134edo contains [[2edo]] and [[67edo]] as its subsets.		Since 134 factors into 2 × 67, 134edo contains [[2edo]] and [[67edo]] as its subsets.

FloraC: +subsets and supersets

2024-05-27T16:12:29Z

+subsets and supersets

← Older revision		Revision as of 16:12, 27 May 2024
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	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|134}}		{{Harmonics in equal\|134}}

			=== Subsets and supersets ===
			Since 134 factors into {{factorization\|134}}, 134edo contains [[2edo]] and [[67edo]] as its subsets.

FloraC: Adopt template: EDO intro; -redundant categories; misc. cleanup

2024-05-27T16:11:20Z

Adopt template: EDO intro; -redundant categories; misc. cleanup

← Older revision		Revision as of 16:11, 27 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''134edo''' is the [[~~EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		{{EDO intro}}

			The equal temperament [[tempering out\|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

			=== Odd harmonics ===
	{{Harmonics in equal\|134}}		{{Harmonics in equal\|134}}
	~~{{stub}}~~
	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

BudjarnLambeth: Marked as stub

2024-01-04T01:47:34Z

Marked as stub

← Older revision		Revision as of 01:47, 4 January 2024
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	{{Harmonics in equal\|134}}		{{Harmonics in equal\|134}}
			{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T03:00:00Z

Added "harmonics in equal" table

← Older revision		Revision as of 03:00, 24 June 2023
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	'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

			{{Harmonics in equal\|134}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Aura at 18:57, 4 October 2022

2022-10-04T18:57:18Z

← Older revision		Revision as of 18:57, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Sort key

2022-07-02T16:34:43Z

Sort key

← Older revision		Revision as of 16:34, 2 July 2022
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	'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:08Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
Line 1:		Line 1:
	'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.		'''134edo''' is the [[EDO\|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]

Xenllium: Created page with "'''134edo''' is the equal division of the octave into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's..."

2019-03-12T05:43:24Z

Created page with "'''134edo''' is the equal division of the octave into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's..."

New page

'''134edo''' is the [[EDO|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

[[Category:Edo]]