30ed7
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Prime factorization
2 × 3 × 5
Step size
112.294¢
Octave
11\30ed7 (1235.24¢)
Twelfth
17\30ed7 (1909¢)
Consistency limit
3
Distinct consistency limit
3
| ← 29ed7 | 30ed7 | 31ed7 → |
Division of the 7th harmonic into 30 equal parts (30ed7) is related to 17edt, but with the 7/1 rather than the 3/1 being just. The step size is about 112.2942 cents, corresponding to 10.6862 edo.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | 1/1 | |
| 1 | 112.2942 | 16/15 | |
| 2 | 224.5884 | 25/22, 91/80, 57/50, 65/57 | |
| 3 | 336.8826 | 17/14 | |
| 4 | 449.1768 | 22/17, 35/27 | |
| 5 | 561.4710 | 18/13 | pseudo-7/5 |
| 6 | 673.7652 | 28/19, 96/65, 65/44, 34/23 | |
| 7 | 786.0594 | 63/40 | |
| 8 | 898.3536 | 42/25 | pseudo-5/3 |
| 9 | 1010.6478 | 70/39 | |
| 10 | 1122.9420 | 44/23, 245/128 | |
| 11 | 1235.2362 | 49/24 | 49/48 plus octave |
| 12 | 1347.5304 | 24/11 | 12/11 plus octave |
| 13 | 1459.8246 | pseudo-7/3 | |
| 14 | 1572.1188 | 119/48 | |
| 15 | 1684.4130 | 119/45, 45/17 | |
| 16 | 1796.7072 | 48/17 | 24/17 plus octave |
| 17 | 1909.0013 | pseudo-3/1 | |
| 18 | 2021.2955 | 77/24 | |
| 19 | 2133.5897 | 24/7 | 12/7 plus octave |
| 20 | 2245.8839 | 128/35, 161/44 | |
| 21 | 2358.1781 | 39/10 | |
| 22 | 2470.4723 | 25/6 | 25/24 plus two octaves |
| 23 | 2582.7665 | 40/9 | 10/9 plus two octaves |
| 24 | 2695.0607 | 19/4 | |
| 25 | 2807.3549 | 91/18 | pseudo-5/1 |
| 26 | 2919.6491 | 27/5 | 27/20 plus two octaves |
| 27 | 3031.9433 | 98/17 | |
| 28 | 3144.2375 | 80/13 | 20/13 plus two octaves |
| 29 | 3256.5317 | 105/16, 46/7 | |
| 30 | 3368.8259 | 7/1 | 7/4 plus two octaves |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +35.2 | +7.0 | -41.8 | +21.0 | +42.3 | +0.0 | -6.6 | +14.1 | -56.0 | +3.6 | -34.8 |
| Relative (%) | +31.4 | +6.3 | -37.2 | +18.7 | +37.7 | +0.0 | -5.9 | +12.5 | -49.9 | +3.2 | -31.0 | |
| Steps (reduced) |
11 (11) |
17 (17) |
21 (21) |
25 (25) |
28 (28) |
30 (0) |
32 (2) |
34 (4) |
35 (5) |
37 (7) |
38 (8) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +51.2 | +35.2 | +28.1 | +28.7 | +36.0 | +49.3 | -44.3 | -20.8 | +7.0 | +38.8 | -38.2 |
| Relative (%) | +45.6 | +31.4 | +25.0 | +25.5 | +32.0 | +43.9 | -39.4 | -18.5 | +6.3 | +34.6 | -34.0 | |
| Steps (reduced) |
40 (10) |
41 (11) |
42 (12) |
43 (13) |
44 (14) |
45 (15) |
45 (15) |
46 (16) |
47 (17) |
48 (18) |
48 (18) | |
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