19ed5
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Prime factorization
19 (prime)
Step size
146.648¢
Octave
8\19ed5 (1173.18¢)
Twelfth
13\19ed5 (1906.43¢)
(convergent)
Consistency limit
7
Distinct consistency limit
3
| ← 18ed5 | 19ed5 | 20ed5 → |
(convergent)
Division of the 5th harmonic into 19 equal parts (19ED5) is related to the Bohlen-Pierce scale, but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 cents, corresponding to 8.1829 EDO. It provides 5, 7, 13, and 15-odd-limit minimax generator for the bohpier temperament.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 146.6481 | 49/45 | |
| 2 | 293.2962 | 13/11 | |
| 3 | 439.9443 | 9/7 | |
| 4 | 586.5924 | 7/5 | |
| 5 | 733.2405 | 49/32 | |
| 6 | 879.8885 | 5/3 | |
| 7 | 1026.5366 | 9/5 | |
| 8 | 1173.1847 | 63/32 | |
| 9 | 1319.8328 | 15/7 | |
| 10 | 1466.4809 | 7/3 | |
| 11 | 1613.1290 | 28/11 | |
| 12 | 1759.7771 | 11/4 | |
| 13 | 1906.4252 | 3/1 | |
| 14 | 2053.0733 | 49/15 | |
| 15 | 2199.7214 | 32/9 | |
| 16 | 2346.3694 | 35/9 | |
| 17 | 2493.0175 | 21/5 | |
| 18 | 2639.6656 | 32/7 | |
| 19 | 2786.3137 | exact 5/1 | just major third plus two octaves |