191edo - Revision history

ArrowHead294 at 16:37, 20 February 2025

2025-02-20T16:37:35Z

← Older revision		Revision as of 16:37, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|191~~}}		{{ED intro}}

	191edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 191 303 443 }} ([[patent val]]) and {{val\| 191 303 444 }} (191c). Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and {{monzo\| -52 5 19 }} in the 5-limit; [[245/243]], [[2401/2400]], and 68359375/67108864 in the 7-limit; [[385/384]], [[896/891]], 1375/1372, and 118125/117128 in the 11-limit; [[352/351]], [[364/363]], 1625/1617, 1875/1859, and [[2197/2187]] in the 13-limit. Using the 191c val, it tempers out the [[amity comma]], 1600000/1594323 and {{monzo\| 39 -7 -12 }} in the 5-limit; [[4375/4374]], [[5120/5103]], and 823543/810000 in the 7-limit; [[441/440]], 896/891, 6912/6875, and [[14641/14580]] in the 11-limit; [[196/195]], 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out [[1728/1715]], [[3136/3125]], and 1605632/1594323 in the 7-limit; [[176/175]], [[540/539]], 1331/1323, and 655360/649539 in the 11-limit; [[351/350]], 352/351, [[640/637]], [[1573/1568]], and 2197/2187 in the 13-limit, [[support]]ing the [[semisept]] temperament.		191edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 191 303 443 }} ([[patent val]]) and {{val\| 191 303 444 }} (191c). Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and {{monzo\| -52 5 19 }} in the 5-limit; [[245/243]], [[2401/2400]], and 68359375/67108864 in the 7-limit; [[385/384]], [[896/891]], 1375/1372, and 118125/117128 in the 11-limit; [[352/351]], [[364/363]], 1625/1617, 1875/1859, and [[2197/2187]] in the 13-limit. Using the 191c val, it tempers out the [[amity comma]], 1600000/1594323 and {{monzo\| 39 -7 -12 }} in the 5-limit; [[4375/4374]], [[5120/5103]], and 823543/810000 in the 7-limit; [[441/440]], 896/891, 6912/6875, and [[14641/14580]] in the 11-limit; [[196/195]], 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out [[1728/1715]], [[3136/3125]], and 1605632/1594323 in the 7-limit; [[176/175]], [[540/539]], 1331/1323, and 655360/649539 in the 11-limit; [[351/350]], 352/351, [[640/637]], [[1573/1568]], and 2197/2187 in the 13-limit, [[support]]ing the [[semisept]] temperament.

FloraC: Cleanup

2024-04-19T02:58:11Z

Cleanup

← Older revision		Revision as of 02:58, 19 April 2024
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	{{EDO intro\|191}}		{{EDO intro\|191}}

	191edo is ~~inconsistent~~ to the 5-limit and higher ~~limit~~, with two mappings possible for the 5-limit: ~~<~~191 303 443\| (patent val) and ~~<~~191 303 444\| (191c). Using the patent val, it tempers out the [[~~Tetracot family\|~~tetracot comma]], 20000/19683 and \|-52 5 19~~>~~ in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[~~Amity family\|~~amity comma]], 1600000/1594323 and ~~549755813888/533935546875~~ in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, ~~supporting~~ the [[~~Hemimean clan\|~~semisept ~~temperament~~]].		191edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 191 303 443 }} ([[patent val]]) and {{val\| 191 303 444 }} (191c). Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and {{monzo\| -52 5 19 }} in the 5-limit; [[245/243]], [[2401/2400]], and 68359375/67108864 in the 7-limit; [[385/384]], [[896/891]], 1375/1372, and 118125/117128 in the 11-limit; [[352/351]], [[364/363]], 1625/1617, 1875/1859, and [[2197/2187]] in the 13-limit. Using the 191c val, it tempers out the [[amity comma]], 1600000/1594323 and {{monzo\| 39 -7 -12 }} in the 5-limit; [[4375/4374]], [[5120/5103]], and 823543/810000 in the 7-limit; [[441/440]], 896/891, 6912/6875, and [[14641/14580]] in the 11-limit; [[196/195]], 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out [[1728/1715]], [[3136/3125]], and 1605632/1594323 in the 7-limit; [[176/175]], [[540/539]], 1331/1323, and 655360/649539 in the 11-limit; [[351/350]], 352/351, [[640/637]], [[1573/1568]], and 2197/2187 in the 13-limit, [[support]]ing the [[semisept]] temperament.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{~~harmonics~~ in equal\|191}}		{{Harmonics in equal\|191}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	191edo is the 43rd [[prime ~~EDO~~]].		191edo is the 43rd [[prime edo]].

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

Eliora at 13:19, 8 May 2023

2023-05-08T13:19:01Z

← Older revision		Revision as of 13:19, 8 May 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''191edo''' is the [[~~EDO\|~~equal division of the octave]] into~~ 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, supporting the [[Hemimean clan\|semisept temperament]].		{{EDO intro\|191}}

			191edo is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, supporting the [[Hemimean clan\|semisept temperament]].
			=== Odd harmonics ===
			{{harmonics in equal\|191}}
			=== Subsets and supersets ===
	191edo is the 43rd [[prime EDO]].		191edo is the 43rd [[prime EDO]].

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

Plumtree: Infobox ET added

2022-10-04T21:17:24Z

Infobox ET added

← Older revision		Revision as of 21:17, 4 October 2022
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			{{Infobox ET}}
	'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, supporting the [[Hemimean clan\|semisept temperament]].		'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, supporting the [[Hemimean clan\|semisept temperament]].

Fredg999 category edits: Sort key

2022-07-02T21:23:55Z

Sort key

← Older revision		Revision as of 21:23, 2 July 2022
Line 3:		Line 3:
	191edo is the 43rd [[prime EDO]].		191edo is the 43rd [[prime EDO]].

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

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

2020-12-04T23:13:15Z

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 3:		Line 3:
	191edo is the 43rd [[prime EDO]].		191edo is the 43rd [[prime EDO]].

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

Xenllium at 12:25, 24 December 2018

2018-12-24T12:25:02Z

← Older revision		Revision as of 12:25, 24 December 2018
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	'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (~~optimal~~ patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 ~~are tempered out~~ in the 7-limit.		'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit; 385/384, 896/891, 1375/1372, and 118125/117128 in the 11-limit; 352/351, 364/363, 1625/1617, 1875/1859, and 2197/2187 in the 13-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit; 441/440, 896/891, 6912/6875, and 14641/14580 in the 11-limit; 196/195, 352/351, 364/363, 2197/2187, and 3146/3125 in the 13-limit. Using the alternative 191cd val, it tempers out 1728/1715, 3136/3125, and 1605632/1594323 in the 7-limit; 176/175, 540/539, 1331/1323, and 655360/649539 in the 11-limit; 351/350, 352/351, 640/637, 1573/1568, and 2197/2187 in the 13-limit, supporting the [[Hemimean clan\|semisept temperament]].

	191edo is the 43rd [[prime EDO]].		191edo is the 43rd [[prime EDO]].

Xenllium at 12:31, 13 December 2018

2018-12-13T12:31:52Z

← Older revision		Revision as of 12:31, 13 December 2018
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	'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (optimal patent val) and <191 303 444\| (191c). Using the ~~optimal~~ patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52, 5, 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 are tempered out in the 7-limit.		'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (optimal patent val) and <191 303 444\| (191c). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52 5 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 are tempered out in the 7-limit.

	191edo is the 43rd [[prime EDO]].		191edo is the 43rd [[prime EDO]].

Xenllium at 01:39, 3 December 2018

2018-12-03T01:39:44Z

← Older revision		Revision as of 01:39, 3 December 2018
Line 1:		Line 1:
	'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (optimal patent val) and <191 303 444\| (191c). Using the optimal patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52, 5, 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 are tempered out in the 7-limit.		'''191edo''' is the [[EDO\|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443\| (optimal patent val) and <191 303 444\| (191c). Using the optimal patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and \|-52, 5, 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family\|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 are tempered out in the 7-limit.

	191edo is the ~~43th~~ [[prime EDO]].		191edo is the 43rd [[prime EDO]].

	[[Category:Edo]]		[[Category:Edo]]
	[[Category:Prime EDO]]		[[Category:Prime EDO]]

Xenllium: Created page with "'''191edo''' is the equal division of the octave into 191 parts of 6.2827 cents each. It is inconsistent to the 5-limit and higher limit, with two mappings possibl..."

2018-12-02T12:59:32Z

Created page with "'''191edo''' is the equal division of the octave into 191 parts of 6.2827 cents each. It is inconsistent to the 5-limit and higher limit, with two mappings possibl..."

New page

'''191edo''' is the [[EDO|equal division of the octave]] into 191 parts of 6.2827 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <191 303 443| (optimal patent val) and <191 303 444| (191c). Using the optimal patent val, it tempers out the [[Tetracot family|tetracot comma]], 20000/19683 and |-52, 5, 19> in the 5-limit; 245/243, 2401/2400, and 68359375/67108864 in the 7-limit. Using the 191c val, it tempers out the [[Amity family|amity comma]], 1600000/1594323 and 549755813888/533935546875 in the 5-limit; 4375/4374, 5120/5103, and 823543/810000 in the 7-limit. Using the alternative 191cd val, 1728/1715, 3136/3125, and 1605632/1594323 are tempered out in the 7-limit.

191edo is the 43th [[prime EDO]].

[[Category:Edo]]
[[Category:Prime EDO]]