188edo - Revision history

ArrowHead294 at 19:25, 20 February 2025

2025-02-20T19:25:07Z

← Older revision		Revision as of 19:25, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|188~~}}		{{ED intro}}

	188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. The equal temperament [[tempering out\|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit. It [[support]]s [[harry]] and [[newt]], and provides the [[optimal patent val]] for [[tuskaloosa]], the 77 & 111 temperament.		188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. The equal temperament [[tempering out\|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit. It [[support]]s [[harry]] and [[newt]], and provides the [[optimal patent val]] for [[tuskaloosa]], the 77 & 111 temperament.

FloraC: Expand

2024-04-22T16:03:23Z

Expand

← Older revision		Revision as of 16:03, 22 April 2024
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	{{EDO intro\|188}}		{{EDO intro\|188}}

	188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. The equal temperament [[tempering out\|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit.		188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. The equal temperament [[tempering out\|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit. It [[support]]s [[harry]] and [[newt]], and provides the [[optimal patent val]] for [[tuskaloosa]], the 77 & 111 temperament.

	Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit. It [[~~support~~]]s the 7-limit [[~~reenactment~~]] ~~temperament~~, ~~described as 188 & 360~~.		Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit; supporting 13-limit tuskaloosa. Using the alternative 188e val, [[243/242]], [[441/440]], [[540/539]], [[8019/8000]], and [[9801/9800]] in the 11-limit; 351/350, [[1716/1715]], and [[2080/2079]] in the 13-limit; supporting 13-limit harry.

	188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.		The 188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.

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

FloraC: +prime error table; +subsets and supersets; -redundant categories

2024-04-22T15:52:36Z

+prime error table; +subsets and supersets; -redundant categories

← Older revision		Revision as of 15:52, 22 April 2024
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	{{EDO intro\|188}}		{{EDO intro\|188}}

	188edo is closely related to [[94edo]], but the patent ~~vals~~ differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit. It ~~supports~~ the 7-limit reenactment temperament, described as 188 & 360.		188edo is closely related to [[94edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. The equal temperament [[tempering out\|tempers out]] 129140163/128000000 ([[graviton]]) and 268435456/263671875 ([[mabila comma]]) in the 5-limit; [[2401/2400]], [[19683/19600]], and 110592/109375 in the 7-limit.

			Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; [[351/350]], [[352/351]], [[676/675]], [[1573/1568]], and 16848/16807 in the 13-limit. It [[support]]s the 7-limit [[reenactment]] temperament, described as 188 & 360.

	188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.		188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.

	~~[[Category:Equal divisions of the octave~~\|~~###]] <!-- 3-digit number -->~~		=== Odd harmonics ===
			{{Harmonics in equal\|188}}

			=== Subsets and supersets ===
			Since 188 factors into {{factorization\|188}}, 188edo contains subset edos {{EDOs\| 2, 4, 47, and 94 }}.

Eliora at 18:33, 3 May 2023

2023-05-03T18:33:38Z

← Older revision		Revision as of 18:33, 3 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro}}		{{EDO intro\|188}}

	188edo is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit. It supports the 7-limit reenactment temperament, described as 188 & 360.		188edo is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit. It supports the 7-limit reenactment temperament, described as 188 & 360.

Eliora: slightly complete

2023-05-03T18:33:28Z

slightly complete

← Older revision		Revision as of 18:33, 3 May 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''~~188edo~~''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It~~ is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.		{{EDO intro}}

			188edo is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit. It supports the 7-limit reenactment temperament, described as 188 & 360.

			188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.

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

Plumtree: Infobox ET added

2022-10-04T21:16:52Z

Infobox ET added

← Older revision		Revision as of 21:16, 4 October 2022
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			{{Infobox ET}}
	'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.		'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 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

2022-07-02T21:23:31Z

Sort key

← Older revision		Revision as of 21:23, 2 July 2022
Line 1:		Line 1:
	'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.		'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 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:
	'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.		'''188edo''' is the [[EDO\|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.

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

Xenllium: Created page with "'''188edo''' is the equal division of the octave into 188 parts of 6.3830 cents each. It is closely related to 94edo, but the patent vals differ on the mapping for..."

2019-03-05T08:40:25Z

Created page with "'''188edo''' is the equal division of the octave into 188 parts of 6.3830 cents each. It is closely related to 94edo, but the patent vals differ on the mapping for..."

New page

'''188edo''' is the [[EDO|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.

[[Category:Edo]]