186edo - Revision history

ArrowHead294 at 19:23, 20 February 2025

2025-02-20T19:23:06Z

← Older revision		Revision as of 19:23, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit.		186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit.

FloraC at 16:09, 22 April 2024

2024-04-22T16:09:56Z

← Older revision		Revision as of 16:09, 22 April 2024
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	186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit.		186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit.

	=== ~~Odd~~ harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|186}}		{{Harmonics in equal\|186}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 186 factors into {{factorization\|186}}, 186edo has subset edos {{EDOs\| 2, 3, 6, 31, 62, and 93 }}.		Since 186 factors into {{factorization\|186}}, 186edo has subset edos {{EDOs\| 2, 3, 6, 31, 62, and 93 }}.

FloraC: Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

2024-04-22T16:09:29Z

Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

← Older revision		Revision as of 16:09, 22 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''~~186edo~~''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It~~ is closely related to [[31edo]], but the patent ~~vals~~ differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.		{{EDO intro}}
	{{~~stub~~}}
	~~[[Category:Equal divisions of the octave~~\|~~###]] <!--~~ 3~~-digit number -->~~		186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit.

			=== Odd harmonics ===
			{{Harmonics in equal\|186}}

			=== Subsets and supersets ===
			Since 186 factors into {{factorization\|186}}, 186edo has subset edos {{EDOs\| 2, 3, 6, 31, 62, and 93 }}.

BudjarnLambeth: Marked as stub

2024-01-04T01:54:22Z

Marked as stub

← Older revision		Revision as of 01:54, 4 January 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.		'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.
			{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Plumtree: Infobox ET added

2022-10-04T21:16:17Z

Infobox ET added

← Older revision		Revision as of 21:16, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.		'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 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

2022-07-02T21:23:18Z

Sort key

← Older revision		Revision as of 21:23, 2 July 2022
Line 1:		Line 1:
	'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.		'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 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

2020-12-04T23:13:14Z

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:
	'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.		'''186edo''' is the [[EDO\|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.

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

Xenllium: Created page with "'''186edo''' is the equal division of the octave into 186 parts of 6.4516 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

2019-02-20T05:38:24Z

Created page with "'''186edo''' is the equal division of the octave into 186 parts of 6.4516 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

New page

'''186edo''' is the [[EDO|equal division of the octave]] into 186 parts of 6.4516 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 67108864/66430125 (misty comma) and 390625000/387420489 (quartonic comma) in the 5-limit, as well as 6115295232/6103515625 (vishnuzma); 3136/3125, 5120/5103 and 117649/116640 in the 7-limit. Using the patent val, it tempers out 385/384, 1331/1323, 2200/2187, and 3773/3750 in the 11-limit; 325/324, 352/351, 847/845, and 1573/1568 in the 13-limit.

[[Category:Edo]]