622edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 621edo622edo623edo →
Prime factorization 2 × 311
Step size 1.92926¢
Fifth 364\622 (702.251¢) (→182\311)
Semitones (A1:m2) 60:46 (115.8¢ : 88.75¢)
Consistency limit 7
Distinct consistency limit 7

622 equal divisions of the octave (622edo), or 622-tone equal temperament (622tet), 622 equal temperament (622et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 622 equal parts of about 1.93 ¢ each.

Theory

Approximation of prime harmonics in 622edo
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 -0.775 -0.407 +0.665 +0.648 +0.945 -0.540
relative (%) +0 +15 -24 -17 +23 +33 -40 -21 +34 +34 +49 -28
Steps
(reduced)
622
(0)
986
(364)
1444
(200)
1746
(502)
2152
(286)
2302
(436)
2542
(54)
2642
(154)
2814
(326)
3022
(534)
3082
(594)
3240
(130)

As the double of 311edo it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311edo.