37ed8
| ← 36ed8 | 37ed8 | 38ed8 → |
37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, fifteenth) into 37 equal steps of approximately 97.297 cents. It stands out as a 8.9.10.14.22.26.17/2.19/2 subgroup tuning. This is an another approach for 97.5cET.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -32.4 | +44.0 | +32.4 | +35.3 | +11.6 | +36.6 | +0.0 | -9.3 | +2.9 | +32.5 | -20.9 | +35.1 | +4.1 | -18.0 |
| Relative (%) | -33.3 | +45.2 | +33.3 | +36.3 | +11.9 | +37.6 | +0.0 | -9.6 | +3.0 | +33.4 | -21.5 | +36.1 | +4.3 | -18.5 | |
| Steps (reduced) |
12 (12) |
20 (20) |
25 (25) |
29 (29) |
32 (32) |
35 (35) |
37 (0) |
39 (2) |
41 (4) |
43 (6) |
44 (7) |
46 (9) |
47 (10) |
48 (11) | |
Intervals
| Steps | Cents | Ratio approximated |
|---|---|---|
| 1 | 97.297 | 17/16, 18/17, 19/18, 20/19 |
| 2 | 194.595 | 9/8, 10/9, 19/17 |
| 3 | 291.892 | 13/11, 19/16, 20/17 |
| 4 | 389.189 | 5/4 |
| 5 | 486.486 | 25/19, 45/34 |
| 6 | 583.784 | 7/5 |
| 7 | 681.081 | 28/19 |
| 8 | 778.378 | 11/7, 14/9, 25/16 |
| 9 | 875.676 | 28/17 |
| 10 | 972.973 | 7/4 |
| 11 | 1070.270 | 13/7 |
| 12 | 1167.568 | 49/25, 35/18 |
| 13 | 1264.865 | 35/17, 52/25 |
| 14 | 1362.162 | 11/5 |
| 15 | 1459.459 | 44/19, 65/28 |
| 16 | 1556.757 | 22/9 |
| 17 | 1654.054 | 44/17, 13/5 |
| 18 | 1751.351 | 11/4, 52/19 |
| 19 | 1848.649 | 26/9, 55/19 |
| 20 | 1945.946 | 52/17, 55/18 |
| 21 | 2043.243 | 13/4, 55/17 |
| 33 | 3210.811 | 32/5 |
| 34 | 3308.108 | 88/13, 34/5 |
| 35 | 3405.405 | 36/5, 64/9 |
| 36 | 3502.703 | 38/5, 68/9 |
| 37 | 3600.000 | 8/1 |