2100edo - Revision history

ArrowHead294 at 14:16, 20 February 2025

2025-02-20T14:16:35Z

← Older revision		Revision as of 14:16, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2100~~}}		{{ED intro}}

	The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic\|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but the 1219\2100 fifth is notable for being an extremely close approximation to [[quarter-comma meantone]].		The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic\|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but the 1219\2100 fifth is notable for being an extremely close approximation to [[quarter-comma meantone]].

BudjarnLambeth: Add category

2025-01-04T00:28:01Z

Add category

← Older revision		Revision as of 00:28, 4 January 2025
Line 9:		Line 9:
	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 2100 factors into {{factorization\|2100}}, 2100edo has subset edos {{EDOs\| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}.		Since 2100 factors into {{factorization\|2100}}, 2100edo has subset edos {{EDOs\| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}.

			[[Category:Meantone]]

Eliora: not sure how there's 7 limit in 1/4cm but ok

2024-02-13T22:38:11Z

not sure how there's 7 limit in 1/4cm but ok

← Older revision		Revision as of 22:38, 13 February 2024
Line 2:		Line 2:
	{{EDO intro\|2100}}		{{EDO intro\|2100}}

	The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic\|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but ~~{{val\|~~ 2100 ~~3319 4876 5890 }}~~ is notable for being ~~nearly identical~~ to [[quarter-comma meantone]].		The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic\|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but the 1219\2100 fifth is notable for being an extremely close approximation to [[quarter-comma meantone]].

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

FloraC: +prime error table; +subsets and supersets

2023-10-30T11:06:20Z

+prime error table; +subsets and supersets

← Older revision		Revision as of 11:06, 30 October 2023
Line 2:		Line 2:
	{{EDO intro\|2100}}		{{EDO intro\|2100}}

	The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit ~~schismatic aka~~ [[~~Schismatic family~~\|helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but {{val\| 2100 3319 4876 5890 }} is notable for being nearly identical to [[quarter-comma meantone]].		The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic\|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but {{val\| 2100 3319 4876 5890 }} is notable for being nearly identical to [[quarter-comma meantone]].

			=== Odd harmonics ===
			{{Harmonics in equal\|2100}}

			=== Subsets and supersets ===
			Since 2100 factors into {{factorization\|2100}}, 2100edo has subset edos {{EDOs\| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}.

FloraC: Cleanup

2023-10-15T13:28:16Z

Cleanup

← Older revision		Revision as of 13:28, 15 October 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 ~~3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].~~		{{EDO intro\|2100}}

	[[~~Category:Equal divisions of the octave~~\|~~####~~]] <!-- 4-~~digit~~ number -->		The [[patent val]] [[Tempering out\|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic family\|helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but {{val\| 2100 3319 4876 5890 }} is notable for being nearly identical to [[quarter-comma meantone]].

BudjarnLambeth at 07:00, 9 July 2023

2023-07-09T07:00:43Z

← Older revision		Revision as of 07:00, 9 July 2023
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].		The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].

	[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->

BudjarnLambeth at 04:39, 9 July 2023

2023-07-09T04:39:21Z

← Older revision		Revision as of 04:39, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].		The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].

	[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->

Plumtree: Infobox ET added

2022-10-04T22:14:53Z

Infobox ET added

← Older revision		Revision as of 22:14, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].		The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].

	[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->

Fredg999 category edits: Categories

2022-07-04T01:25:29Z

Cmloegcmluin: link to new page for Supports

2022-01-25T17:56:20Z

link to new page for Supports

← Older revision		Revision as of 17:56, 25 January 2022
Line 1:		Line 1:
	The 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it ~~supports~~ a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].		The 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].

← Older revision		Revision as of 01:25, 4 July 2022
Line 1:		Line 1:
	The 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].		The '''2100 equal division''' divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic_family\|helmholtz]] temperament, and the 7-limit [[Schismatic_family#Sesquiquartififths\|sesquiquartififths temperament]]. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but <2100 3319 4876 5890\| is notable for being nearly identical to [[Quarter-comma_meantone\|quarter-comma meantone]].

			[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->