15ed7
| ← 14ed7 | 15ed7 | 16ed7 → |
Division of the 7th harmonic into 15 equal parts (15ed7) is related to the supermajor temperament, which tempers out 4375/4374 and 52734375/52706752. The step size is about 224.5884 cents, corresponding to 5.3431 edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3 | +23 | +6 | +101 | +26 | +0 | +9 | +46 | +104 | -61 | +29 |
| Relative (%) | +1.3 | +9.6 | +2.6 | +42.1 | +10.9 | +0.0 | +3.9 | +19.2 | +43.4 | -25.2 | +12.2 | |
| Steps (reduced) |
5 (5) |
8 (8) |
10 (10) |
12 (12) |
13 (13) |
14 (0) |
15 (1) |
16 (2) |
17 (3) |
17 (3) |
18 (4) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -109 | +3 | -116 | +13 | -92 | +49 | -44 | +108 | +23 | -57 | +106 |
| Relative (%) | -45.4 | +1.3 | -48.3 | +5.2 | -38.4 | +20.5 | -18.4 | +44.7 | +9.6 | -23.9 | +44.1 | |
| Steps (reduced) |
18 (4) |
19 (5) |
19 (5) |
20 (6) |
20 (6) |
21 (7) |
21 (7) |
22 (8) |
22 (8) |
22 (8) |
23 (9) | |
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 224.5884 | ||
| 2 | 449.1768 | 35/27 | |
| 3 | 673.7652 | ||
| 4 | 898.3536 | 42/25 | |
| 5 | 1122.9420 | 21/11, 44/23 | |
| 6 | 1347.5304 | 98/45 | |
| 7 | 1572.1188 | 119/48 | |
| 8 | 1796.7072 | 48/17 | |
| 9 | 2021.2955 | 45/14 | |
| 10 | 2245.8839 | 11/3 | |
| 11 | 2470.4723 | 25/6 | |
| 12 | 2695.0607 | ||
| 13 | 2919.6491 | 27/5 | |
| 14 | 3144.2375 | ||
| 15 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |
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