37ed4
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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
| ← 35ed4 | 37ed4 | 39ed4 → |
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.
| 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) | |