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 {{ | 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. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
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Revision as of 12:16, 17 January 2021
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 zeta peak tuning. In the 5-limit it tempers out the tricot comma [39 -29 3⟩, septendecima [-52 -17 34⟩, and astro [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.