7ed9/7
| ← 6ed9/7 | 7ed9/7 | 8ed9/7 → |
7 equal divisions of 9/7 (abbreviated 7ed9/7) is a nonoctave tuning system that divides the interval of 9/7 into 7 equal parts of about 62.2 ¢ each. Each step represents a frequency ratio of (9/7)1/7, or the 7th root of 9/7.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.5 | -16.6 | +5.5 | +3.1 | -18.0 | -17.2 | -10.3 | +14.7 | +10.3 | +7.8 | +1.1 | -15.1 |
| Relative (%) | -9.7 | -45.8 | +15.1 | +8.5 | -49.7 | -47.4 | -28.3 | +40.6 | +28.3 | +21.5 | +3.1 | -41.8 | |
| Steps (reduced) |
33 (9) |
52 (4) |
77 (5) |
93 (9) |
114 (6) |
122 (2) |
135 (3) |
141 (9) |
150 (6) |
161 (5) |
164 (8) |
172 (4) | |