7ed7/4
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Prime factorization
7 (prime)
Step size
138.404¢
Octave
9\7ed7/4 (1245.63¢)
Twelfth
14\7ed7/4 (1937.65¢) (→2\1ed7/4)
Consistency limit
3
Distinct consistency limit
2
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| ← 6ed7/4 | 7ed7/4 | 8ed7/4 → |
7ed7/4 is the equal division of the interval 7/4 into 7 parts of 138.4037 cents each, corresponding to 8.67edo. It is vaguely related to 17ed4.
Intervals
| Steps | Cents | Approximate Ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 138.404 | 10/9, 11/10, 14/13, 15/14, 20/19, 21/19 |
| 2 | 276.807 | 13/11, 15/13 |
| 3 | 415.211 | 13/10, 14/11, 17/13, 19/15, 21/17 |
| 4 | 553.615 | 7/5, 15/11, 19/14 |
| 5 | 692.019 | 3/2, 19/13 |
| 6 | 830.422 | 11/7, 21/13 |
| 7 | 968.826 | 19/11 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +45.6 | +35.7 | -47.1 | -18.2 | -57.1 | -47.1 | -1.5 | -67.0 | +27.4 | +0.8 | -11.4 |
| Relative (%) | +33.0 | +25.8 | -34.1 | -13.2 | -41.2 | -34.1 | -1.1 | -48.4 | +19.8 | +0.6 | -8.3 | |
| Steps (reduced) |
9 (2) |
14 (0) |
17 (3) |
20 (6) |
22 (1) |
24 (3) |
26 (5) |
27 (6) |
29 (1) |
30 (2) |
31 (3) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -11.6 | -1.5 | +17.5 | +44.1 | -60.8 | -21.4 | +23.4 | -65.4 | -11.4 | +46.4 | -30.5 |
| Relative (%) | -8.4 | -1.1 | +12.6 | +31.9 | -43.9 | -15.4 | +16.9 | -47.2 | -8.3 | +33.5 | -22.1 | |
| Steps (reduced) |
32 (4) |
33 (5) |
34 (6) |
35 (0) |
35 (0) |
36 (1) |
37 (2) |
37 (2) |
38 (3) |
39 (4) |
39 (4) | |