17ed7
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Prime factorization
17 (prime)
Step size
198.166¢
Octave
6\17ed7 (1189¢)
(semiconvergent)
Twelfth
10\17ed7 (1981.66¢)
Consistency limit
3
Distinct consistency limit
3
| ← 16ed7 | 17ed7 | 18ed7 → |
(semiconvergent)
Division of the 7th harmonic into 17 equal parts (17ed7) is related to 6 edo, but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 198.1662 cents.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 198.1662 | 28/25 | |
| 2 | 396.3325 | 49/39, 34/27 | pseudo-5/4 |
| 3 | 594.4987 | 24/17 | |
| 4 | 792.6649 | 30/19, 128/81 | |
| 5 | 990.8311 | 85/48, 39/22 | |
| 6 | 1188.9974 | 143/72, 175/88 | pseudo-octave |
| 7 | 1387.1636 | 49/22 | |
| 8 | 1585.3298 | 5/2 | |
| 9 | 1783.4961 | 14/5 | |
| 10 | 1981.6623 | 22/7 | |
| 11 | 2179.8285 | 88/25 | |
| 12 | 2377.9948 | 154/39, 320/81, 336/85 | pseudo-4/1 |
| 13 | 2576.1610 | 133/30 | |
| 14 | 2774.3272 | 119/24 | pseudo-5/1 |
| 15 | 2972.4934 | 39/7 | |
| 16 | 3170.6597 | 25/4 | |
| 17 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |