37ed4

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← 35ed437ed439ed4 →
Prime factorization 37 (prime)
Step size 64.8649¢ 
Octave 19\37ed4 (1232.43¢)
Twelfth 29\37ed4 (1881.08¢)
Consistency limit 1
Distinct consistency limit 1

37ED4 is an equal tuning which divides the 4/1 double octave into 37 steps of approximately 64.865¢. As an ED4 system, it is equivalent to taking every other tone of 37edo. All the intervals of 37ED4 are thus the same as or an octave away from a corresponding interval in 37edo.

65cET is a slightly stretched version of 37ED4, in which the 37th degree is 5¢ sharp of 4/1.

Approximation of harmonics in 37ed4
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +32.4 -20.9 +0.0 +2.9 +11.6 +4.1 +32.4 +23.1 -29.6 +0.0 -20.9
Relative (%) +50.0 -32.2 +0.0 +4.4 +17.8 +6.4 +50.0 +35.6 -45.6 +0.1 -32.2
Steps
(reduced)
19
(19)
29
(29)
37
(0)
43
(6)
48
(11)
52
(15)
56
(19)
59
(22)
61
(24)
64
(27)
66
(29)

Music