935edo: Difference between revisions

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The 935 equal division divides the octave into 935 parts of 1.283 cents 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 tricot comma {{monzo| 39 -29 3 }}, septendecima {{monzo| -52 -17 34 }}, and astro {{monzo| 91 -12 -31 }}. 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.
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]].
 
=== Prime harmonics ===
{{Harmonics in equal|935}}


[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:Todo:expand]]