258edo - Revision history

ArrowHead294 at 22:50, 20 February 2025

2025-02-20T22:50:48Z

← Older revision		Revision as of 22:50, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|258~~}}		{{ED intro}}

	The equal temperament [[Tempering out\|tempers out]] 10976/10935 ([[hemimage comma]]), 65625/65536 ([[horwell comma]]), and 235298/234375 ([[triwellisma]]) in the 7-limit as well as 250047/250000 ([[landscape comma]]), 823543/819200 ([[quince comma]]), and 1500625/1492992 ([[uniwiz comma]]). Using the patent val, it tempers out [[441/440]], 4375/4356, [[16384/16335]], and [[19712/19683]] in the 11-limit; [[364/363]], [[625/624]], and [[2200/2197]] in the 13-limit; [[375/374]], [[595/594]], [[833/832]], [[936/935]], [[2500/2499]], 4928/4913 in the 17-limit. It supports [[cotoneum]] and [[mutt]].		The equal temperament [[Tempering out\|tempers out]] 10976/10935 ([[hemimage comma]]), 65625/65536 ([[horwell comma]]), and 235298/234375 ([[triwellisma]]) in the 7-limit as well as 250047/250000 ([[landscape comma]]), 823543/819200 ([[quince comma]]), and 1500625/1492992 ([[uniwiz comma]]). Using the patent val, it tempers out [[441/440]], 4375/4356, [[16384/16335]], and [[19712/19683]] in the 11-limit; [[364/363]], [[625/624]], and [[2200/2197]] in the 13-limit; [[375/374]], [[595/594]], [[833/832]], [[936/935]], [[2500/2499]], 4928/4913 in the 17-limit. It supports [[cotoneum]] and [[mutt]].

FloraC: Rework

2023-09-24T04:54:46Z

Rework

← Older revision		Revision as of 04:54, 24 September 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''258EDO''' is the [[~~EDO\|~~equal division of the octave]] into~~ 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments\|hemimage]]), 65625/65536 ([[Horwell temperaments\|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments\|landscape]]), 823543/819200 ([[Quince clan\|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.		{{EDO intro\|258}}

	~~258 has divisors 2~~, 3, 6, 43, 86, and ~~129, so 258EDO~~ [[~~support~~]]s the [[~~Mitonismic temperaments\|meridic temperament~~]], ~~which tempers out 43-15-comma~~, ~~{{monzo\|168 -43 -43}}~~ and the ~~mitonisma~~, ~~5250987~~/~~5242880~~. ~~Other temperaments which 258EDO~~ supports ~~include~~ [[cotoneum]] and [[~~Mutt temperament\|~~mutt]].		The equal temperament [[Tempering out\|tempers out]] 10976/10935 ([[hemimage comma]]), 65625/65536 ([[horwell comma]]), and 235298/234375 ([[triwellisma]]) in the 7-limit as well as 250047/250000 ([[landscape comma]]), 823543/819200 ([[quince comma]]), and 1500625/1492992 ([[uniwiz comma]]). Using the patent val, it tempers out [[441/440]], 4375/4356, [[16384/16335]], and [[19712/19683]] in the 11-limit; [[364/363]], [[625/624]], and [[2200/2197]] in the 13-limit; [[375/374]], [[595/594]], [[833/832]], [[936/935]], [[2500/2499]], 4928/4913 in the 17-limit. It supports [[cotoneum]] and [[mutt]].

	{{~~Primes~~ in ~~edo~~\|~~edo~~=258\|~~columns=11~~\|~~prec=3~~}}		=== Prime harmonics ===
			{{Harmonics in equal\|258}}

			=== Subsets and supersets ===
			Since 258 factors into 2 × 3 × 43, 258edo has subset edos {{EDOs\| 2, 3, 6, 43, 86, and 129 }}, and the equal temperament [[support]]s the [[meridic]] temperament, which tempers out the 43-15-comma, {{monzo\| 168 -43 -43 }} and the mitonisma, 5250987/5242880.

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

Plumtree: Infobox ET added

2022-10-04T21:29:00Z

Infobox ET added

← Older revision		Revision as of 21:29, 4 October 2022
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			{{Infobox ET}}
	'''258EDO''' is the [[EDO\|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments\|hemimage]]), 65625/65536 ([[Horwell temperaments\|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments\|landscape]]), 823543/819200 ([[Quince clan\|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.		'''258EDO''' is the [[EDO\|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments\|hemimage]]), 65625/65536 ([[Horwell temperaments\|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments\|landscape]]), 823543/819200 ([[Quince clan\|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.

Fredg999 category edits: Sort key

2022-07-03T19:05:34Z

Sort key

← Older revision		Revision as of 19:05, 3 July 2022
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	{{Primes in edo\|edo=258\|columns=11\|prec=3}}		{{Primes in edo\|edo=258\|columns=11\|prec=3}}

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

Cmloegcmluin: link to new page for Supports

2022-01-25T17:52:53Z

link to new page for Supports

← Older revision		Revision as of 17:52, 25 January 2022
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	'''258EDO''' is the [[EDO\|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments\|hemimage]]), 65625/65536 ([[Horwell temperaments\|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments\|landscape]]), 823543/819200 ([[Quince clan\|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.		'''258EDO''' is the [[EDO\|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments\|hemimage]]), 65625/65536 ([[Horwell temperaments\|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments\|landscape]]), 823543/819200 ([[Quince clan\|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.

	258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO ~~supports~~ the [[Mitonismic temperaments\|meridic temperament]], which tempers out 43-15-comma, {{monzo\|168 -43 -43}} and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include [[cotoneum]] and [[Mutt temperament\|mutt]].		258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO [[support]]s the [[Mitonismic temperaments\|meridic temperament]], which tempers out 43-15-comma, {{monzo\|168 -43 -43}} and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include [[cotoneum]] and [[Mutt temperament\|mutt]].

	{{Primes in edo\|edo=258\|columns=11\|prec=3}}		{{Primes in edo\|edo=258\|columns=11\|prec=3}}

Xenllium at 21:24, 22 August 2021

2021-08-22T21:24:23Z

← Older revision		Revision as of 21:24, 22 August 2021
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	258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO supports the [[Mitonismic temperaments\|meridic temperament]], which tempers out 43-15-comma, {{monzo\|168 -43 -43}} and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include [[cotoneum]] and [[Mutt temperament\|mutt]].		258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO supports the [[Mitonismic temperaments\|meridic temperament]], which tempers out 43-15-comma, {{monzo\|168 -43 -43}} and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include [[cotoneum]] and [[Mutt temperament\|mutt]].

			{{Primes in edo\|edo=258\|columns=11\|prec=3}}

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

Xenllium: Created page with "'''258EDO''' is the equal division of the octave into 258 parts of 4.651163 cents each. It tempers out 10976/10935 (hemimage), 65625/6553..."

2021-08-22T00:39:49Z

Created page with "'''258EDO''' is the equal division of the octave into 258 parts of 4.651163 cents each. It tempers out 10976/10935 (hemimage), 65625/6553..."

New page

'''258EDO''' is the [[EDO|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments|hemimage]]), 65625/65536 ([[Horwell temperaments|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments|landscape]]), 823543/819200 ([[Quince clan|quince]]), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.

258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO supports the [[Mitonismic temperaments|meridic temperament]], which tempers out 43-15-comma, {{monzo|168 -43 -43}} and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include [[cotoneum]] and [[Mutt temperament|mutt]].

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