222edo

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← 221edo222edo223edo →
Prime factorization 2 × 3 × 37
Step size 5.40541¢
Fifth 130\222 (702.703¢) (→65\111)
Semitones (A1:m2) 22:16 (118.9¢ : 86.49¢)
Consistency limit 3
Distinct consistency limit 3

222 equal divisions of the octave (222edo), or 222-tone equal temperament (222tet), 222 equal temperament (222et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 222 equal parts of about 5.41 ¢ each.

Theory

222edo is strongly related to 111edo, but they differ on the mapping for 5, 7, and 13.

Prime harmonics

Approximation of prime harmonics in 222edo
Harmonic 2 3 5 7 11 13 17 19 23 29
Error absolute (¢) +0.00 +0.75 -2.53 -1.26 +0.03 -2.69 -2.25 -0.22 -1.25 -2.55
relative (%) +0 +14 -47 -23 +1 -50 -42 -4 -23 -47
Steps
(reduced)
222
(0)
352
(130)
515
(71)
623
(179)
768
(102)
821
(155)
907
(19)
943
(55)
1004
(116)
1078
(190)

Scales