258edo: Difference between revisions

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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.

~~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]].

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]].

=== Prime harmonics ===

=== 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]]~~

[[Category:Meridic]]

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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.
+{{Infobox ET}}
+{{ED intro}}
-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]].
+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]]
 [[Category:Meridic]]