935edo: Difference between revisions

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~~The '''~~935 ~~equal divisions of the octave''' ('''~~935edo~~''') divides the [[octave]] into 935 parts of 1.283 [[cent]]s each. It~~ is a very strong 23-limit system, and distinctly [[consistent]] through to the [[27-odd-limit]]. It is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the {{monzo| 39 -29 3 }} ([[tricot comma]]), {{monzo| -52 -17 34 }} ([[septendecima]]), and {{monzo| 91 -12 -31 }} (astro). In the 7-limit it tempers out [[4375/4374]] and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit [[2080/2079]], [[4096/4095]] and [[4225/4224]].

935edo is a very strong 23-limit system, and distinctly [[consistent]] through to the [[27-odd-limit]]. It is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the {{monzo| 39 -29 3 }} ([[tricot comma]]), {{monzo| -52 -17 34 }} ([[septendecima]]), and {{monzo| 91 -12 -31 }} (astro). In the 7-limit it tempers out [[4375/4374]] and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit [[2080/2079]], [[4096/4095]] and [[4225/4224]].

~~935 = 5 × 11 × 17, with subset edos 5, 11, 17, 55, 85, and 187~~.

=== Prime harmonics ===

=== Divisors ===

935 = 5 × 11 × 17, with subset edos 5, 11, 17, 55, 85, and 187.

[[Category:Equal divisions of the octave|###]]

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 {{Infobox ET}}
-The '''935 equal divisions of the octave''' ('''935edo''') divides the [[octave]] into 935 parts of 1.283 [[cent]]s each. It is a very strong 23-limit system, and distinctly [[consistent]] through to the [[27-odd-limit]]. It is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the {{monzo| 39 -29 3 }} ([[tricot comma]]), {{monzo| -52 -17 34 }} ([[septendecima]]), and {{monzo| 91 -12 -31 }} (astro). In the 7-limit it tempers out [[4375/4374]] and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit [[2080/2079]], [[4096/4095]] and [[4225/4224]].
+{{EDO intro|935}}
+edo is a very strong 23-limit system, and distinctly [[consistent]] through to the [[27-odd-limit]]. It is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the {{monzo| 39 -29 3 }} ([[tricot comma]]), {{monzo| -52 -17 34 }} ([[septendecima]]), and {{monzo| 91 -12 -31 }} (astro). In the 7-limit it tempers out [[4375/4374]] and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit [[2080/2079]], [[4096/4095]] and [[4225/4224]].
-= 5 × 11 × 17, with subset edos 5, 11, 17, 55, 85, and 187.
 === Prime harmonics ===
 {{Harmonics in equal|935}}
+=== Divisors ===
+= 5 × 11 × 17, with subset edos 5, 11, 17, 55, 85, and 187.
 [[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->