53ed7
Division of the 7th harmonic into 53 equal parts (53ed7) is related to 19edo and 30edt, but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 63.5628 | ||
| 2 | 127.1255 | ||
| 3 | 190.6883 | ||
| 4 | 254.2510 | ||
| 5 | 317.8138 | ||
| 6 | 381.3765 | ||
| 7 | 444.9393 | ||
| 8 | 508.5020 | ||
| 9 | 572.0648 | ||
| 10 | 635.6275 | ||
| 11 | 699.1903 | ||
| 12 | 762.7530 | ||
| 13 | 826.3158 | ||
| 14 | 889.8785 | ||
| 15 | 953.4413 | ||
| 16 | 1017.0040 | ||
| 17 | 1080.5668 | ||
| 18 | 1144.1296 | ||
| 19 | 1207.6923 | ||
| 20 | 1271.2551 | ||
| 21 | 1334.8178 | ||
| 22 | 1398.3806 | ||
| 23 | 1461.9433 | ||
| 24 | 1525.5061 | ||
| 25 | 1589.0688 | ||
| 26 | 1652.6316 | ||
| 27 | 1716.1943 | ||
| 28 | 1779.7571 | ||
| 29 | 1843.3198 | ||
| 30 | 1906.8826 | ||
| 31 | 1970.4453 | ||
| 32 | 2034.0081 | ||
| 33 | 2097.5708 | ||
| 34 | 2161.1336 | ||
| 35 | 2224.6964 | ||
| 36 | 2288.2591 | ||
| 37 | 2351.8219 | ||
| 38 | 2415.3846 | ||
| 39 | 2478.9474 | ||
| 40 | 2542.5101 | ||
| 41 | 2606.0729 | ||
| 42 | 2669.6356 | ||
| 43 | |||
| 44 | |||
| 45 | |||
| 46 | |||
| 47 | |||
| 48 | |||
| 49 | |||
| 50 | |||
| 51 | |||
| 52 | |||
| 53 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |