7ed5/3
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Prime factorization
7 (prime)
Step size
126.337¢
Octave
9\7ed5/3 (1137.03¢)
Twelfth
15\7ed5/3 (1895.05¢)
(convergent)
Consistency limit
3
Distinct consistency limit
2
| ← 6ed5/3 | 7ed5/3 | 8ed5/3 → |
(convergent)
7ed5/3 is the equal division of the just major sixth into seven parts of 126.337 cents each, corresponding to 9.4984edo (very nearly 19ed4 or 15edt). It is very closely related to the negri temperament.
Intervals
| ed7\10 | 19ed4 | ed5/3 | |
|---|---|---|---|
| 1 | 120 | 126.316 | 126.337 |
| 2 | 240 | 252.632 | 252.674 |
| 3 | 360 | 378.947 | 379.01 |
| 4 | 480 | 503.263 | 505.348 |
| 5 | 600 | 631.579 | 631.685 |
| 6 | 720 | 757.895 | 758.022 |
| 7 | 840 | 884.2105 | 884.359 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -63.0 | -6.9 | +0.4 | -6.9 | +56.5 | +42.3 | -62.6 | -13.8 | +56.5 | +17.8 | -6.5 |
| Relative (%) | -49.8 | -5.5 | +0.3 | -5.5 | +44.7 | +33.5 | -49.5 | -10.9 | +44.7 | +14.1 | -5.1 | |
| Steps (reduced) |
9 (2) |
15 (1) |
19 (5) |
22 (1) |
25 (4) |
27 (6) |
28 (0) |
30 (2) |
32 (4) |
33 (5) |
34 (6) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -18.7 | -20.7 | -13.8 | +0.8 | +22.2 | +49.6 | -44.0 | -6.5 | +35.4 | -45.2 | +4.2 |
| Relative (%) | -14.8 | -16.4 | -10.9 | +0.6 | +17.6 | +39.2 | -34.9 | -5.1 | +28.0 | -35.8 | +3.3 | |
| Steps (reduced) |
35 (0) |
36 (1) |
37 (2) |
38 (3) |
39 (4) |
40 (5) |
40 (5) |
41 (6) |
42 (0) |
42 (0) |
43 (1) | |
 |
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