237edo

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← 236edo237edo238edo →
Prime factorization 3 × 79
Step size 5.06329¢
Fifth 139\237 (703.797¢)
Semitones (A1:m2) 25:16 (126.6¢ : 81.01¢)
Dual sharp fifth 139\237 (703.797¢)
Dual flat fifth 138\237 (698.734¢) (→46\79)
Dual major 2nd 40\237 (202.532¢)
Consistency limit 3
Distinct consistency limit 3

237 equal divisions of the octave (abbreviated 237edo), or 237-tone equal temperament (237tet), 237 equal temperament (237et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 237 equal parts of about 5.06 ¢ each. Each step of 237edo represents a frequency ratio of 21/237, or the 237th root of 2.

Theory

Approximation of odd harmonics in 237edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +1.84 -1.50 -1.74 -1.38 +0.58 -0.02 +0.34 +1.37 +1.22 +0.11 -0.43
relative (%) +36 -30 -34 -27 +11 -0 +7 +27 +24 +2 -8
Steps
(reduced)
376
(139)
550
(76)
665
(191)
751
(40)
820
(109)
877
(166)
926
(215)
969
(21)
1007
(59)
1041
(93)
1072
(124)


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