13ed11
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Prime factorization
13 (prime)
Step size
319.332¢
Octave
4\13ed11 (1277.33¢)
Twelfth
6\13ed11 (1915.99¢)
(semiconvergent)
Consistency limit
7
Distinct consistency limit
3
| ← 12ed11 | 13ed11 | 14ed11 → |
(semiconvergent)
13ED11 is the equal division of the 11th harmonic into 13 parts of 319.3321 cents each. It is related to the 13-limit temperament which tempers out 275/273, 325/324, 385/384, and 1331/1323, which is supported by 15edo, 79edo, and 94edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 319.3321 | 6/5, 77/64 | |
| 2 | 638.6643 | 13/9 | |
| 3 | 957.9964 | 33/19 | |
| 4 | 1277.3286 | 44/21 | |
| 5 | 1596.6607 | 121/48 | |
| 6 | 1915.9929 | 121/40 | |
| 7 | 2235.3250 | 40/11 | |
| 8 | 2554.6572 | 48/11 | |
| 9 | 2873.9893 | 21/4 | |
| 10 | 3193.3215 | 19/3 | |
| 11 | 3512.6536 | 38/5, 160/21 | |
| 12 | 3831.9858 | 64/7, 55/6 | |
| 13 | 4151.3179 | exact 11/1 | undecimal fourth plus three octaves |