# 935edo

 ← 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
Special properties

935 equal divisions of the octave (abbreviated 935edo or 935ed2), also called 935-tone equal temperament (935tet) or 935 equal temperament (935et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 935 equal parts of about 1.28 ¢ each. Each step represents a frequency ratio of 21/935, or the 935th root of 2.

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 +6 -0 +12 +43 +9 +22 +19 +47 -21 -17
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.