442edo

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← 441edo 442edo 443edo →
Prime factorization 2 × 13 × 17
Step size 2.71493¢ 
Fifth 259\442 (703.167¢)
Semitones (A1:m2) 45:31 (122.2¢ : 84.16¢)
Dual sharp fifth 259\442 (703.167¢)
Dual flat fifth 258\442 (700.452¢) (→129\221)
Dual major 2nd 75\442 (203.62¢)
Consistency limit 3
Distinct consistency limit 3

442 equal divisions of the octave (abbreviated 442edo or 442ed2), also called 442-tone equal temperament (442tet) or 442 equal temperament (442et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 442 equal parts of about 2.71 ¢ each. Each step represents a frequency ratio of 21/442, or the 442nd root of 2.

There is a very good 6/5 at 116\442.

Harmonics

Approximation of odd harmonics in 442edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.21 -0.79 +0.40 -0.29 -0.19 +1.10 +0.42 +0.93 +1.13 -1.10 -1.13
Relative (%) +44.7 -29.2 +14.9 -10.7 -6.9 +40.6 +15.4 +34.1 +41.6 -40.4 -41.4
Steps
(reduced)
701
(259)
1026
(142)
1241
(357)
1401
(75)
1529
(203)
1636
(310)
1727
(401)
1807
(39)
1878
(110)
1941
(173)
1999
(231)


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