19ed10
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Prime factorization
19 (prime)
Step size
209.806¢
Octave
6\19ed10 (1258.84¢)
Twelfth
9\19ed10 (1888.25¢)
(semiconvergent)
Consistency limit
3
Distinct consistency limit
3
| ← 18ed10 | 19ed10 | 20ed10 → |
(semiconvergent)
19ED10 is the equal division of the 10th harmonic into 19 parts of 209.8060 cents each. It is related to the 13-limit rank-three temperament which tempers out 540/539, 1573/1568, and 10648/10647, which is supported by 63edo, 80edo, and 103edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 209.8060 | 44/39 | |
| 2 | 419.6120 | 14/11 | |
| 3 | 629.4180 | 23/16, 36/25 | |
| 4 | 839.2239 | 13/8 | |
| 5 | 1049.0299 | 11/6 | |
| 6 | 1258.8359 | 91/44, 60/29 | |
| 7 | 1468.6419 | 7/3 | |
| 8 | 1678.4479 | 50/19, 95/36 | |
| 9 | 1888.2539 | ||
| 10 | 2098.0598 | ||
| 11 | 2307.8658 | 72/19, 19/5 | |
| 12 | 2517.6718 | 30/7 | |
| 13 | 2727.4778 | 29/6, 440/91 | |
| 14 | 2937.2838 | 60/11 | |
| 15 | 3147.0898 | 80/13 | |
| 16 | 3356.8958 | 125/18, 160/23 | |
| 17 | 3566.7017 | 55/7 | |
| 18 | 3776.5077 | 195/22 | |
| 19 | 3986.3137 | exact 10/1 | just major third plus three octaves |