User:MisterShafXen/14ed7/4
| ← 13ed7/4 | 14ed7/4 | 15ed7/4 → |
(semiconvergent)
14 equal divisions of 7/4 (abbreviated 14ed7/4) is a nonoctave tuning system that divides the interval of 7/4 into 14 equal parts of about 69.2 ¢ each. Each step represents a frequency ratio of (7/4)1/14, or the 14th root of 7/4.
Intervals
| Steps | Cents | Approximate ratios | Note names (3\52) |
|---|---|---|---|
| 0 | 0 | 1/1 | C |
| 1 | 69.2 | 22/21, 23/22 | ^C# |
| 2 | 138.4 | 14/13, 23/21 | Db |
| 3 | 207.6 | 9/8, 19/17 | ^D |
| 4 | 276.8 | 13/11 | vvEb |
| 5 | 346 | 17/14, 21/17 | vE |
| 6 | 415.2 | 14/11 | E# |
| 7 | 484.4 | 4/3, 17/13 | vF |
| 8 | 553.6 | F# | |
| 9 | 622.8 | vGb | |
| 10 | 692 | 3/2 | G |
| 11 | 761.2 | 11/7, 17/11, 23/15 | ^G# |
| 12 | 830.4 | 21/13 | Ab |
| 13 | 899.6 | 5/3, 22/13 | ^A |
| 14 | 968.8 | 19/11, 23/13 | vvBb |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -23.6 | -33.5 | +22.1 | -18.2 | +12.1 | +22.1 | -1.5 | +2.2 | +27.4 | +0.8 | -11.4 |
| Relative (%) | -34.1 | -48.4 | +31.9 | -26.4 | +17.5 | +31.9 | -2.2 | +3.2 | +39.6 | +1.1 | -16.5 | |
| Steps (reduced) |
17 (3) |
27 (13) |
35 (7) |
40 (12) |
45 (3) |
49 (7) |
52 (10) |
55 (13) |
58 (2) |
60 (4) |
62 (6) | |