935edo

Revision as of 11:28, 2 November 2023 by FloraC (talk | contribs) (Adopt template: Factorization; misc. cleanup)
← 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 is distinctly consistent through to the 27-odd-limit. It is also a zeta peak edo. The equal temperament tempers out the [39 -29 3 (tricot comma), [-52 -17 34 (septendecima), and [91 -12 -31 (astro) in the 5-limit; 4375/4374 and 52734375/52706752 in the 7-limit; 161280/161051 and 117649/117612 in the 11-limit; and 2080/2079, 4096/4095 and 4225/4224 in the 13-limit.

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)

Subsets and supersets

Since 935 factors into 5 × 11 × 17, 935edo has subset edos 5, 11, 17, 55, 85, and 187.