267edo - Revision history

ArrowHead294 at 22:48, 20 February 2025

2025-02-20T22:48:17Z

← Older revision		Revision as of 22:48, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	267edo is a fairly good [[5-limit]] tuning, but in[[consistent]] in the [[7-odd-limit]]. In the 5-limit, the equal temperament [[tempering out\|tempers out]] both 129140163/128000000 ([[graviton]]) and 274877906944/274658203125 (luna comma), enabling it to [[support]] [[gravity]] and [[luna]] temperaments.		267edo is a fairly good [[5-limit]] tuning, but in[[consistent]] in the [[7-odd-limit]]. In the 5-limit, the equal temperament [[tempering out\|tempers out]] both 129140163/128000000 ([[graviton]]) and 274877906944/274658203125 (luna comma), enabling it to [[support]] [[gravity]] and [[luna]] temperaments.

FloraC: Rework

2024-03-11T04:45:10Z

Rework

← Older revision		Revision as of 04:45, 11 March 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''267edo''' is the [[~~EDO~~\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each.~~		{{EDO intro}}

	~~In the~~ 5-limit~~, it tempers out both [[Graviton\|129140163/128000000~~]] ~~and 274877906944/274658203125~~, ~~enabling it to support both~~ [[~~Gravity_family\|gravity~~]] ~~and~~ [[~~Luna_family\|luna~~]] ~~temperaments~~. In the 7-limit, it tempers out ~~1029~~/~~1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625~~ and ~~28824005~~/~~28697814~~, enabling it to ~~support~~ [[~~Gamelismic_clan\|gamelismic~~]], [[~~Hemimean_family\|hemimean~~]] and [[~~Trimyna_family\|trimyna~~]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.		267edo is a fairly good [[5-limit]] tuning, but in[[consistent]] in the [[7-odd-limit]]. In the 5-limit, the equal temperament [[tempering out\|tempers out]] both 129140163/128000000 ([[graviton]]) and 274877906944/274658203125 (luna comma), enabling it to [[support]] [[gravity]] and [[luna]] temperaments.

			The 267d [[val]] being the best, tempers out [[1029/1024]], [[3136/3125]], [[50421/50000]], [[65625/65536]], 9882516/9765625 and 28824005/28697814, supporting [[gamelismic]], [[hemimean]] and [[trimyna]] temperaments among others; in the 11-limit, [[243/242]], 1375/1372, [[4000/3993]], [[6144/6125]], [[8019/8000]]; in the 13-limit, [[351/350]], 1375/1372, [[1575/1573]], [[2080/2079]], [[4096/4095]], [[4225/4224]] and 59535/59488.

			=== Prime harmonics ===
	{{Harmonics in equal\|267}}		{{Harmonics in equal\|267}}
	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~
	[[Category:Gravity]]		[[Category:Gravity]]
	[[Category:Luna]]		[[Category:Luna]]
	~~[[Category:Quartismic]]~~

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T03:26:08Z

Added "harmonics in equal" table

← Older revision		Revision as of 03:26, 24 June 2023
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	{{Infobox ET}}		{{Infobox ET}}
	'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.		'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each.

			In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.

			{{Harmonics in equal\|267}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Gravity]]		[[Category:Gravity]]
	[[Category:Luna]]		[[Category:Luna]]
	[[Category:Quartismic]]		[[Category:Quartismic]]

Plumtree: Infobox ET added

2022-10-04T21:45:28Z

Infobox ET added

← Older revision		Revision as of 21:45, 4 October 2022
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			{{Infobox ET}}
	'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.		'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.

Fredg999 category edits: Sort key

2022-07-03T19:06:12Z

Sort key

← Older revision		Revision as of 19:06, 3 July 2022
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	'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.		'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.

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

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

2020-12-04T23:13:22Z

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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	'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.		'''267edo''' is the [[EDO\|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton\|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family\|gravity]] and [[Luna_family\|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan\|gamelismic]], [[Hemimean_family\|hemimean]] and [[Trimyna_family\|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma\|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:Gravity]]		[[Category:Gravity]]
	[[Category:Luna]]		[[Category:Luna]]
	[[Category:Quartismic]]		[[Category:Quartismic]]

Aura: Created page with "'''267edo''' is the equal division of the octave into 267 parts of 4.494382 cents each. In the 5-limit, it tempers out both 129140163/128000000 and 2..."

2020-09-15T16:33:12Z

Created page with "'''267edo''' is the equal division of the octave into 267 parts of 4.494382 cents each. In the 5-limit, it tempers out both 129140163/128000000 and 2..."

New page

'''267edo''' is the [[EDO|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family|gravity]] and [[Luna_family|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan|gamelismic]], [[Hemimean_family|hemimean]] and [[Trimyna_family|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488.

[[Category:Edo]]
[[Category:Gravity]]
[[Category:Luna]]
[[Category:Quartismic]]