935edo

Revision as of 15:30, 29 December 2022 by FloraC (talk | contribs) (Improve intro and sectioning)
← 934edo 935edo 936edo →
Prime factorization 5 × 11 × 17
Step size 1.28342 ¢ 
Fifth 547\935 (702.032 ¢)
Semitones (A1:m2) 89:70 (114.2 ¢ : 89.84 ¢)
Consistency limit 27
Distinct consistency limit 27

Template:EDO intro 935edo 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 [39 -29 3 (tricot comma), [-52 -17 34 (septendecima), and [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

Approximation of prime harmonics in 935edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.077 -0.004 +0.158 +0.554 +0.114 +0.285 +0.241 +0.603 -0.272 -0.223
Relative (%) +0.0 +6.0 -0.3 +12.3 +43.1 +8.9 +22.2 +18.8 +47.0 -21.2 -17.4
Steps
(reduced)
935
(0)
1482
(547)
2171
(301)
2625
(755)
3235
(430)
3460
(655)
3822
(82)
3972
(232)
4230
(490)
4542
(802)
4632
(892)

Divisors

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