19ed4
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Prime factorization
19 (prime)
Step size
126.316¢
Octave
10\19ed4 (1263.16¢)
Twelfth
15\19ed4 (1894.74¢)
(semiconvergent)
Consistency limit
1
Distinct consistency limit
1
| ← 17ed4 | 19ed4 | 21ed4 → |
(semiconvergent)
19ED4 is the equal division of the double octave into 19 parts of 126.3158 cents each (every second step of 19edo).
Theory
It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.
Lookalikes: 15edt