211edo - Revision history

ArrowHead294 at 16:37, 20 February 2025

2025-02-20T16:37:42Z

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

	211edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 211 334 490 }} ([[patent val]]) and {{val\| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo\| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		211edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 211 334 490 }} ([[patent val]]) and {{val\| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo\| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

FloraC at 10:04, 13 April 2024

2024-04-13T10:04:17Z

← Older revision		Revision as of 10:04, 13 April 2024
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	{{EDO intro}}		{{EDO intro}}

	211edo is in[[consistent]] to the 5-limit and higher limits, with two mappings possible for the 5-limit: {{val\| 211 334 490 }} ([[patent val]]) and {{val\| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo\| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		211edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val\| 211 334 490 }} ([[patent val]]) and {{val\| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo\| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

	=== Odd harmonics ===		=== Odd harmonics ===

FloraC: Cleanup

2024-04-03T09:08:56Z

Cleanup

← Older revision		Revision as of 09:08, 3 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''211edo''' is the [[~~EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna family\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1568000 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; 351/350, 847/845, and 1001/1000 in the 13-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit; 3136/3125, 84035/82944, and 100352/98415 in the 7-limit; 385/384, 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; 196/195, 364/363, 625/624, and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out 6144/6125, 16875/16807, and 327680/321489 in the 7-limit; 896/891, 2420/2401, 3388/3375, and 6655/6561 in the 11-limit; 572/567, 625/624, 640/637, 1573/1568, and 1625/1617 in the 13-limit. Using the 211f val, 364/363, 676/675, 1287/1280, and 1716/1715 are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		{{EDO intro}}

	211edo is the ~~47th~~ [[~~prime EDO~~]].		211edo is in[[consistent]] to the 5-limit and higher limits, with two mappings possible for the 5-limit: {{val\| 211 334 490 }} ([[patent val]]) and {{val\| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo\| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

	~~[[Category:Equal divisions of the octave~~\|~~###]] <!-- 3-digit number -->~~		=== Odd harmonics ===
	[[~~Category:Prime EDO~~]]		{{Harmonics in equal\|211}}

			=== Subsets and supersets ===
			211edo is the 47th [[prime edo]].

Plumtree: Infobox ET added

2022-10-04T21:22:23Z

Infobox ET added

← Older revision		Revision as of 21:22, 4 October 2022
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			{{Infobox ET}}
	'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna family\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1568000 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; 351/350, 847/845, and 1001/1000 in the 13-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit; 3136/3125, 84035/82944, and 100352/98415 in the 7-limit; 385/384, 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; 196/195, 364/363, 625/624, and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out 6144/6125, 16875/16807, and 327680/321489 in the 7-limit; 896/891, 2420/2401, 3388/3375, and 6655/6561 in the 11-limit; 572/567, 625/624, 640/637, 1573/1568, and 1625/1617 in the 13-limit. Using the 211f val, 364/363, 676/675, 1287/1280, and 1716/1715 are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna family\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1568000 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; 351/350, 847/845, and 1001/1000 in the 13-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit; 3136/3125, 84035/82944, and 100352/98415 in the 7-limit; 385/384, 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; 196/195, 364/363, 625/624, and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out 6144/6125, 16875/16807, and 327680/321489 in the 7-limit; 896/891, 2420/2401, 3388/3375, and 6655/6561 in the 11-limit; 572/567, 625/624, 640/637, 1573/1568, and 1625/1617 in the 13-limit. Using the 211f val, 364/363, 676/675, 1287/1280, and 1716/1715 are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

Fredg999 category edits: Sort key

2022-07-03T18:33:14Z

Sort key

← Older revision		Revision as of 18:33, 3 July 2022
Line 3:		Line 3:
	211edo is the 47th [[prime EDO]].		211edo is the 47th [[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

2020-12-04T23:13:18Z

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:
	211edo is the 47th [[prime EDO]].		211edo is the 47th [[prime EDO]].

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

Xenllium at 00:15, 25 December 2018

2018-12-25T00:15:06Z

← Older revision		Revision as of 00:15, 25 December 2018
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	'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (~~optimal~~ patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna ~~Family~~\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/~~1562500~~ in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna family\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1568000 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; 351/350, 847/845, and 1001/1000 in the 13-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit; 3136/3125, 84035/82944, and 100352/98415 in the 7-limit; 385/384, 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; 196/195, 364/363, 625/624, and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out 6144/6125, 16875/16807, and 327680/321489 in the 7-limit; 896/891, 2420/2401, 3388/3375, and 6655/6561 in the 11-limit; 572/567, 625/624, 640/637, 1573/1568, and 1625/1617 in the 13-limit. Using the 211f val, 364/363, 676/675, 1287/1280, and 1716/1715 are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

	211edo is the 47th [[prime EDO]].		211edo is the 47th [[prime EDO]].

Xenllium at 12:29, 13 December 2018

2018-12-13T12:29:23Z

← Older revision		Revision as of 12:29, 13 December 2018
Line 1:		Line 1:
	'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (optimal patent val) and <211 335 490\| (211b). Using the ~~optimal~~ patent val, it tempers out the unicorn comma, 1594323/1562500 and the luna comma, 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1562500 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55, -1, -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.		'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (optimal patent val) and <211 335 490\| (211b). Using the patent val, it tempers out the unicorn comma, 1594323/1562500 and the [[Luna Family\|luna comma]], 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1562500 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55 -1 -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

	211edo is the 47th [[prime EDO]].		211edo is the 47th [[prime EDO]].

Xenllium: minor edit

2018-12-02T13:50:43Z

minor edit

← Older revision		Revision as of 13:50, 2 December 2018
Line 1:		Line 1:
	'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (optimal patent val) and <211 335 490\| (211b). Using the optimal patent val, it tempers out the unicorn comma, 1594323/1562500 and the luna comma, 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1562500 in the 7-limit; 540/539,		'''211edo''' is the [[EDO\|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490\| (optimal patent val) and <211 335 490\| (211b). Using the optimal patent val, it tempers out the unicorn comma, 1594323/1562500 and the luna comma, 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1562500 in the 7-limit; 540/539, 2835/2816, 6912/6875, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55, -1, -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.
	2835/2816, ~~3136~~/~~3125~~, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family\|tetracot comma]], 20000/19683 and \|55, -1, -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

	211edo is the 47th [[prime EDO]].		211edo is the 47th [[prime EDO]].

Xenllium: Created page with "'''211edo''' is the equal division of the octave into 211 parts of 5.6872 cents each. It is inconsistent to the 5-limit and higher limit, with two mappings possibl..."

2018-12-02T13:45:42Z

Created page with "'''211edo''' is the equal division of the octave into 211 parts of 5.6872 cents each. It is inconsistent to the 5-limit and higher limit, with two mappings possibl..."

New page

'''211edo''' is the [[EDO|equal division of the octave]] into 211 parts of 5.6872 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <211 334 490| (optimal patent val) and <211 335 490| (211b). Using the optimal patent val, it tempers out the unicorn comma, 1594323/1562500 and the luna comma, 274877906944/274658203125 in the 5-limit; 1029/1024, 3136/3125, and 1594323/1562500 in the 7-limit; 540/539,
2835/2816, 3136/3125, and 12005/11979 in the 11-limit. Using the 211b val, it tempers out [[Tetracot family|tetracot comma]], 20000/19683 and |55, -1, -23> in the 5-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.

211edo is the 47th [[prime EDO]].

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