54/19
| Ratio | 54/19 |
| Monzo | |1 3 0 0 0 0 0 -1> |
| Size | 1808.3519864639 ¢ |
| Name(s) | undevicesimal major eleventh |
In 19-limit Just Intonation, 54/19 is the "undevicesimal major eleventh" measuring about 1808.4¢. Its tritave complement is 19/18, the "undevicesimal minor second".
The small comma (54/19)^2/(105/13) = 12636/12635 is tempered out in {{#rreplace: 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1178, 1065, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs|/(\d+)(\D+)?/|\1\2}}.
The password comma, (256/243)/(20/19) = (128/45)/(54/19) = 1216/1215 is tempered out in {{#rreplace: 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692 EDOs|/(\d+)(\D+)?/|\1\2}}, leading to a variety of temperaments which identifies small undevicesimal semitone with Pythagorean limma and greater undevicesimal semitone with major limma respectively.
See also
- 20/19 — small undevicesimal semitone