23ed5
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Prime factorization
23 (prime)
Step size
121.144¢
Octave
10\23ed5 (1211.44¢)
(semiconvergent)
Twelfth
16\23ed5 (1938.31¢)
Consistency limit
8
Distinct consistency limit
4
| ← 22ed5 | 23ed5 | 24ed5 → |
(semiconvergent)
Division of the 5th harmonic into 23 equal parts (23ed5) is related to 10edo, but with the 5/1 rather than the 2/1 being just. The octave is stretched (about 11.4408 cents) and the step size is about 121.14407 cents.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 121.1441 | 15/14 | |
| 2 | 242.2882 | 147/128 | |
| 3 | 363.4322 | 16/13 | |
| 4 | 484.5763 | 169/128 | |
| 5 | 605.7204 | 17/12 | |
| 6 | 726.8645 | 195/128 | |
| 7 | 848.0085 | 80/49 | |
| 8 | 969.1526 | 7/4 | |
| 9 | 1090.2967 | 15/8 | |
| 10 | 1211.4408 | 512/255 | pseudo-octave |
| 11 | 1332.5848 | 28/13 | |
| 12 | 1453.7289 | 512/221 | |
| 13 | 1574.8730 | ||
| 14 | 1696.0170 | 8/3 | |
| 15 | 1817.1611 | 20/7 | |
| 16 | 1938.3052 | 49/16 | |
| 17 | 2059.4493 | 128/39 | |
| 18 | 2180.5933 | 169/48 | |
| 19 | 2301.7374 | 34/9 | |
| 20 | 2422.8815 | 65/16 | pseudo-4/1 |
| 21 | 2544.0256 | 352/81 | |
| 22 | 2665.1696 | 14/3 | |
| 23 | 2786.3137 | exact 5/1 | just major third plus two octaves |
Music
- Aria Of A Ghost by Francium