237edt
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Prime factorization
3 × 79
Step size
8.02513¢
Octave
150\237edt (1203.77¢) (→50\79edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 236edt | 237edt | 238edt → |
237 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 237edt or 237ed3), is a nonoctave tuning system that divides the interval of 3/1 into 237 equal parts of about 8.03 ¢ each. Each step represents a frequency ratio of 31/237, or the 237th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.77 | +0.00 | -0.49 | -1.59 | +3.77 | +1.73 | +3.28 | +0.00 | +2.17 | -2.33 | -0.49 |
| Relative (%) | +47.0 | +0.0 | -6.1 | -19.9 | +47.0 | +21.5 | +40.9 | +0.0 | +27.1 | -29.0 | -6.1 | |
| Steps (reduced) |
150 (150) |
237 (0) |
299 (62) |
347 (110) |
387 (150) |
420 (183) |
449 (212) |
474 (0) |
497 (23) |
517 (43) |
536 (62) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -2.53 | -1.59 | -0.97 | -1.60 | +3.77 | -1.56 | -2.08 | +1.73 | +1.44 | -3.29 |
| Relative (%) | -32.8 | -31.5 | -19.9 | -12.1 | -20.0 | +47.0 | -19.4 | -25.9 | +21.5 | +18.0 | -41.0 | |
| Steps (reduced) |
553 (79) |
569 (95) |
584 (110) |
598 (124) |
611 (137) |
624 (150) |
635 (161) |
646 (172) |
657 (183) |
667 (193) |
676 (202) | |