242edo

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← 241edo242edo243edo →
Prime factorization 2 × 112
Step size 4.95868¢
Fifth 142\242 (704.132¢) (→71\121)
Semitones (A1:m2) 26:16 (128.9¢ : 79.34¢)
Dual sharp fifth 142\242 (704.132¢) (→71\121)
Dual flat fifth 141\242 (699.174¢)
Dual major 2nd 41\242 (203.306¢)
Consistency limit 5
Distinct consistency limit 5

242 equal divisions of the octave (abbreviated 242edo), or 242-tone equal temperament (242tet), 242 equal temperament (242et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 242 equal parts of about 4.96 ¢ each. Each step of 242edo represents a frequency ratio of 21/242, or the 242nd root of 2.

Theory

Approximation of odd harmonics in 242edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +2.18 +0.46 -1.88 -0.60 -0.90 +2.45 -2.32 -0.82 +0.01 +0.29 +1.48
relative (%) +44 +9 -38 -12 -18 +49 -47 -17 +0 +6 +30
Steps
(reduced)
384
(142)
562
(78)
679
(195)
767
(41)
837
(111)
896
(170)
945
(219)
989
(21)
1028
(60)
1063
(95)
1095
(127)


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