933edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 932edo933edo934edo →
Prime factorization 3 × 311
Step size 1.28617¢
Fifth 546\933 (702.251¢) (→182\311)
Semitones (A1:m2) 90:69 (115.8¢ : 88.75¢)
Consistency limit 3
Distinct consistency limit 3

933 equal divisions of the octave (abbreviated 933edo or 933ed2), also called 933-tone equal temperament (933tet) or 933 equal temperament (933et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 933 equal parts of about 1.286 ¢ each. Each step represents a frequency ratio of 21/933, or the 933rd root of 2.

As the triple of 311edo, 933edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.

Prime harmonics

Approximation of prime harmonics in 933edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error absolute (¢) +0.000 +0.296 -0.462 -0.337 +0.451 +0.630 +0.511 -0.407 -0.622 -0.638 -0.341 -0.540
relative (%) +0 +23 -36 -26 +35 +49 +40 -32 -48 -50 -27 -42
Steps
(reduced)
933
(0)
1479
(546)
2166
(300)
2619
(753)
3228
(429)
3453
(654)
3814
(82)
3963
(231)
4220
(488)
4532
(800)
4622
(890)
4860
(195)