195edo - Revision history

ArrowHead294 at 19:30, 20 February 2025

2025-02-20T19:30:28Z

← Older revision		Revision as of 19:30, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	195edo is [[contorted]] in the 5-limit, with the same tuning as [[65edo]], [[tempering out]] 32805/32768 ([[schisma]]), 78732/78125 ([[sensipent comma]]), 393216/390625 ([[würschmidt comma]]), and 129140163/128000000 ([[graviton]]). Using the [[patent val]], it tempers out [[1029/1024]], [[10976/10935]], and 395136/390625 in the 7-limit; [[243/242]], 3773/3750, [[4000/3993]], and [[5632/5625]] in the 11-limit; [[196/195]], [[364/363]], [[729/728]], [[1001/1000]], and [[4096/4095]] in the 13-limit. Using the 195d val, it tempers out [[1728/1715]], 177147/175616, and [[250047/250000]] in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out [[385/384]], [[441/440]], [[19712/19683]], and 47432/46875 in the 11-limit; 351/350, [[847/845]], [[1287/1280]], [[1573/1568]], and [[2197/2187]] in the 13-limit.		195edo is [[contorted]] in the 5-limit, with the same tuning as [[65edo]], [[tempering out]] 32805/32768 ([[schisma]]), 78732/78125 ([[sensipent comma]]), 393216/390625 ([[würschmidt comma]]), and 129140163/128000000 ([[graviton]]). Using the [[patent val]], it tempers out [[1029/1024]], [[10976/10935]], and 395136/390625 in the 7-limit; [[243/242]], 3773/3750, [[4000/3993]], and [[5632/5625]] in the 11-limit; [[196/195]], [[364/363]], [[729/728]], [[1001/1000]], and [[4096/4095]] in the 13-limit. Using the 195d val, it tempers out [[1728/1715]], 177147/175616, and [[250047/250000]] in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out [[385/384]], [[441/440]], [[19712/19683]], and 47432/46875 in the 11-limit; 351/350, [[847/845]], [[1287/1280]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

FloraC: Cleanup; +error table; +subsets and supersets

2024-04-16T14:02:43Z

Cleanup; +error table; +subsets and supersets

← Older revision		Revision as of 14:02, 16 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''195edo''' is the [[~~EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		{{EDO intro}}

	[[~~Category:Equal divisions of~~ the ~~octave\|###~~]] <!-- 3-~~digit number~~ -->		195edo is [[contorted]] in the 5-limit, with the same tuning as [[65edo]], [[tempering out]] 32805/32768 ([[schisma]]), 78732/78125 ([[sensipent comma]]), 393216/390625 ([[würschmidt comma]]), and 129140163/128000000 ([[graviton]]). Using the [[patent val]], it tempers out [[1029/1024]], [[10976/10935]], and 395136/390625 in the 7-limit; [[243/242]], 3773/3750, [[4000/3993]], and [[5632/5625]] in the 11-limit; [[196/195]], [[364/363]], [[729/728]], [[1001/1000]], and [[4096/4095]] in the 13-limit. Using the 195d val, it tempers out [[1728/1715]], 177147/175616, and [[250047/250000]] in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out [[385/384]], [[441/440]], [[19712/19683]], and 47432/46875 in the 11-limit; 351/350, [[847/845]], [[1287/1280]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

			=== Odd harmonics ===
			{{Harmonics in equal\|195}}

			=== Subsets and supersets ===
			Since 195 factors into {{factorization\|195}}, 195edo has subset edos {{EDOs\| 3, 5, 13, 15, 39, and 65 }}.

Plumtree: Infobox ET added

2022-10-04T21:18:15Z

Infobox ET added

← Older revision		Revision as of 21:18, 4 October 2022
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			{{Infobox ET}}
	'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 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

2022-07-02T21:24:40Z

Sort key

← Older revision		Revision as of 21:24, 2 July 2022
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	'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.

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

Cmloegcmluin: remove temporary link to defactoring

2021-11-12T23:08:20Z

remove temporary link to defactoring

← Older revision		Revision as of 23:08, 12 November 2021
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	'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] ~~(or [[enfactored]])~~ in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.

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

Cmloegcmluin: add link for defactoring

2021-09-29T19:47:25Z

add link for defactoring

← Older revision		Revision as of 19:47, 29 September 2021
Line 1:		Line 1:
	'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] (or [[enfactored]]) in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.

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

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
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	'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.		'''195edo''' is the [[EDO\|equal division of the octave]] into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.

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

Xenllium: Created page with "'''195edo''' is the equal division of the octave into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125..."

2019-03-17T07:19:26Z

Created page with "'''195edo''' is the equal division of the octave into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125..."

New page

'''195edo''' is the [[EDO|equal division of the octave]] into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.

[[Category:Edo]]