151edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-19T17:59:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:59, 19 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	151edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).		151edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).

Fredg999: Internal links

2024-07-06T16:58:42Z

Internal links

← Older revision		Revision as of 16:58, 6 July 2024
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	Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], [[3125/3087]], and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.		Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], [[3125/3087]], and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.

	Using the 151be val, it tempers out 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 39 -26 1 }} in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and [[3025/3024]] in the 11-limit; [[196/195]], 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit.		Using the 151be val, it tempers out 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 39 -26 1 }} in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and [[3025/3024]] in the 11-limit; [[196/195]], 572/567, [[832/825]], 1001/1000, and 2197/2178 in the 13-limit.

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

FloraC: Group vals by similarity

2024-05-14T09:23:24Z

Group vals by similarity

← Older revision		Revision as of 09:23, 14 May 2024
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	151edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).		151edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).

	Using the patent val, it tempers out the mynic comma, 10077696/9765625 and the [[python comma]], 43046721/41943040 in the 5-limit; [[126/125]], [[1728/1715]], and 31104/30625 in the 7-limit; [[176/175]], [[243/242]], [[441/440]], and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit.		Using the patent val, it tempers out the mynic comma, 10077696/9765625 and the [[python comma]], 43046721/41943040 in the 5-limit; [[126/125]], [[1728/1715]], and 31104/30625 in the 7-limit; [[176/175]], [[243/242]], [[441/440]], and 5314683/5242880 in the 11-limit; 1287/1280, [[1573/1568]], and [[2200/2197]] in the 13-limit.

	Using the ~~151be~~ val, it tempers out ~~15625~~/~~15552 (~~[[~~15625~~/~~15552\|kleisma~~]]~~) and {{monzo\| 39 -26 1 }}~~ in the 5-limit; [[~~4000~~/~~3969~~]], [[~~6144~~/~~6125~~]], ~~and 33614~~/~~32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541~~, and ~~3025/3024 in the 11-limit;~~ [[~~196~~/~~195~~]]~~, 572/567, 832/825, 1001/1000, and 2197/2178~~ in the 13-limit.		Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and [[4000/3993]] in the 11-limit; [[144/143]], [[364/363]], [[1001/1000]], and [[1716/1715]] in the 13-limit.

	Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], 3125/3087, and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.		Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], [[3125/3087]], and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.

	Using the ~~151e~~ val, it tempers out ~~1344~~/~~1331, 2187~~/~~2156, 2835/2816,~~ and ~~4000/3993~~ in the 11-limit; [[~~144~~/~~143~~]], [[~~364~~/~~363~~]], [[~~1001~~/~~1000~~]]~~, and~~ [[~~1716~~/~~1715~~]] in the 13-limit.		Using the 151be val, it tempers out 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 39 -26 1 }} in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and [[3025/3024]] in the 11-limit; [[196/195]], 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit.

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

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

2024-05-14T09:20:30Z

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

← Older revision		Revision as of 09:20, 14 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''151edo''' is the [[~~EDO~~\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each.~~		{{EDO intro}}

	It is ~~inconsistent~~ to the 5-limit and higher ~~limit~~, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).		151edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).

	Using the patent val, it tempers out the ~~quinbigu~~ comma, 10077696/9765625 and the ~~lalagu~~ comma, 43046721/41943040 in the 5-limit; [[126/125]], [[1728/1715]], and 31104/30625 in the 7-limit; [[176/175]], [[243/242]], [[441/440]], and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit.		Using the patent val, it tempers out the mynic comma, 10077696/9765625 and the [[python comma]], 43046721/41943040 in the 5-limit; [[126/125]], [[1728/1715]], and 31104/30625 in the 7-limit; [[176/175]], [[243/242]], [[441/440]], and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit.

	Using the 151be val, it tempers out [[kleisma]] ~~(15625/15552~~) and ~~2748779069440/2541865828329~~ in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; [[196/195]], 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit.		Using the 151be val, it tempers out 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 39 -26 1 }} in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; [[196/195]], 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit.

	Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], 3125/3087, and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.		Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], 3125/3087, and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.
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	Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; [[144/143]], [[364/363]], [[1001/1000]], and [[1716/1715]] in the 13-limit.		Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; [[144/143]], [[364/363]], [[1001/1000]], and [[1716/1715]] in the 13-limit.

	~~151edo is the 36th [[prime EDO]].~~		=== Odd harmonics ===
			{{Harmonics in equal\|151}}

	~~[[Category:Equal divisions of~~ the ~~octave\|###]] <!-- 3-digit number -->~~		=== Subsets and supersets ===
	[[~~Category:Prime EDO~~]]		151edo is the 36th [[prime edo]].

Aura at 19:08, 4 October 2022

2022-10-04T19:08:27Z

← Older revision		Revision as of 19:08, 4 October 2022
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			{{Infobox ET}}
	'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each.		'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each.

Fredg999 category edits: Sort key

2022-07-02T21:08:46Z

Sort key

← Older revision		Revision as of 21:08, 2 July 2022
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	151edo is the 36th [[prime EDO]].		151edo is the 36th [[prime EDO]].

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

FloraC: Cleanup

2021-06-12T07:00:41Z

Cleanup

← Older revision		Revision as of 07:00, 12 June 2021
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	'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: ~~<~~151 239 351\| (patent val), ~~<~~151 240 351\| (151b), and ~~<~~151 239 350\| (151c). Using the patent val, it tempers out the quinbigu comma, 10077696/9765625 and the lalagu comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit. Using the 151be val, it tempers out [[kleisma]], 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; 196/195, 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit. Using the 151c val, it tempers out the [[~~Sycamore family\|~~sycamore comma]], 48828125/47775744 and [[graviton]], 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out 169/168, 325/324, 975/968, and 1287/1280 in the 13-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; 144/143, 364/363, 1001/1000, and 1716/1715 in the 13-limit.		'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each.

			It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: {{val\| 151 239 351 }} ([[patent val]]), {{val\| 151 '''240''' 351 }} (151b), and {{val\| 151 239 '''350''' }} (151c).

			Using the patent val, it tempers out the quinbigu comma, 10077696/9765625 and the lalagu comma, 43046721/41943040 in the 5-limit; [[126/125]], [[1728/1715]], and 31104/30625 in the 7-limit; [[176/175]], [[243/242]], [[441/440]], and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit.

			Using the 151be val, it tempers out [[kleisma]] (15625/15552) and 2748779069440/2541865828329 in the 5-limit; [[4000/3969]], [[6144/6125]], and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; [[196/195]], 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit.

			Using the 151c val, it tempers out the [[sycamore comma]] (48828125/47775744) and [[graviton]] (129140163/128000000) in the 5-limit; [[2430/2401]], 3125/3087, and 33075/32768 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out [[169/168]], [[325/324]], 975/968, and 1287/1280 in the 13-limit.

			Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; [[144/143]], [[364/363]], [[1001/1000]], and [[1716/1715]] in the 13-limit.

	151edo is the 36th [[prime EDO]].		151edo is the 36th [[prime EDO]].

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

2020-12-04T23:13:10Z

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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	151edo is the 36th [[prime EDO]].		151edo is the 36th [[prime EDO]].

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

TallKite: updated the color names

2019-02-07T01:00:51Z

updated the color names

← Older revision		Revision as of 01:00, 7 February 2019
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	'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <151 239 351\| (patent val), <151 240 351\| (151b), and <151 239 350\| (151c). Using the patent val, it tempers out the ~~tenfold green~~ comma, 10077696/9765625 and the ~~double large green~~ comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit. Using the 151be val, it tempers out [[kleisma]], 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; 196/195, 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit. Using the 151c val, it tempers out the [[Sycamore family\|sycamore comma]], 48828125/47775744 and [[graviton]], 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out 169/168, 325/324, 975/968, and 1287/1280 in the 13-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; 144/143, 364/363, 1001/1000, and 1716/1715 in the 13-limit.		'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <151 239 351\| (patent val), <151 240 351\| (151b), and <151 239 350\| (151c). Using the patent val, it tempers out the quinbigu comma, 10077696/9765625 and the lalagu comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit. Using the 151be val, it tempers out [[kleisma]], 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; 196/195, 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit. Using the 151c val, it tempers out the [[Sycamore family\|sycamore comma]], 48828125/47775744 and [[graviton]], 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out 169/168, 325/324, 975/968, and 1287/1280 in the 13-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; 144/143, 364/363, 1001/1000, and 1716/1715 in the 13-limit.

	151edo is the 36th [[prime EDO]].		151edo is the 36th [[prime EDO]].

Xenllium at 13:03, 16 December 2018

2018-12-16T13:03:13Z

← Older revision		Revision as of 13:03, 16 December 2018
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	'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <151 239 351\| (~~optimal~~ patent val), <151 240 351\| (151b), and <151 239 350\| (151c). Using the patent val, it tempers out the tenfold green comma, 10077696/9765625 and the double large green comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit. Using the 151be val, it tempers out [[kleisma]], 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit. Using the 151c val, it tempers out the [[Sycamore family\|sycamore comma]], 48828125/47775744 and [[graviton]], 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit.		'''151edo''' is the [[EDO\|equal division of the octave]] into 151 parts of 7.9470 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <151 239 351\| (patent val), <151 240 351\| (151b), and <151 239 350\| (151c). Using the patent val, it tempers out the tenfold green comma, 10077696/9765625 and the double large green comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit. Using the 151be val, it tempers out [[kleisma]], 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; 196/195, 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit. Using the 151c val, it tempers out the [[Sycamore family\|sycamore comma]], 48828125/47775744 and [[graviton]], 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out 169/168, 325/324, 975/968, and 1287/1280 in the 13-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; 144/143, 364/363, 1001/1000, and 1716/1715 in the 13-limit.

	151edo is the 36th [[prime EDO]].		151edo is the 36th [[prime EDO]].