54edt
Division of the third harmonic into 54 equal parts (54edt) is related to 34 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 2.4728 cents compressed and the step size is about 35.2214 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 34edo is only consistent up to the 6-integer-limit.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 35.2214 | 50/49, 49/48 | |
| 2 | 70.4428 | 25/24 | |
| 3 | 105.6642 | 17/16 | |
| 4 | 140.8856 | ||
| 5 | 176.1069 | ||
| 6 | 211.3283 | 26/23 | |
| 7 | 246.5497 | 15/13 | |
| 8 | 281.7711 | 20/17 | |
| 9 | 316.9925 | pseudo-6/5 | |
| 10 | 352.2139 | ||
| 11 | 387.4353 | 5/4 | |
| 12 | 422.6567 | 60/47 | |
| 13 | 457.8781 | 99/76 | |
| 14 | 493.0994 | 117/88 | pseudo-4/3 |
| 15 | 528.3208 | 19/14 | |
| 16 | 563.5422 | 18/13 | |
| 17 | 598.7636 | 41/29, 140/99 | |
| 18 | 633.9850 | ||
| 19 | 669.2064 | ||
| 20 | 704.4278 | pseudo-3/2 | |
| 21 | 739.6492 | ||
| 22 | 774.8706 | 36/23 | |
| 23 | 810.0919 | pseudo-8/5 | |
| 24 | 845.3133 | 44/27 | |
| 25 | 880.5347 | pseudo-5/3 | |
| 26 | 915.7561 | ||
| 27 | 950.9775 | ||
| 28 | 986.1989 | ||
| 29 | 1021.4203 | pseudo-9/5 | |
| 30 | 1056.6417 | 81/44 | |
| 31 | 1091.8631 | ||
| 32 | 1127.0844 | 23/12 | |
| 33 | 1162.3058 | ||
| 34 | 1197.5272 | pseudo-2/1 | |
| 35 | 1232.7486 | ||
| 36 | 1267.9700 | ||
| 37 | 1303.1914 | ||
| 38 | 1338.4128 | 13/6 | |
| 39 | 1373.6342 | 42/19 | |
| 40 | 1408.8556 | 88/39 | |
| 41 | 1444.0769 | 76/33 | |
| 42 | 1479.2983 | 47/20 | |
| 43 | 1514.5197 | 12/5 | |
| 44 | 1549.7411 | ||
| 45 | 1584.9625 | pseudo-5/2 | |
| 46 | 1620.1839 | 51/20 | |
| 47 | 1655.4053 | 13/5 | |
| 48 | 1690.6267 | 69/26 | |
| 49 | 1725.8481 | ||
| 50 | 1761.0694 | ||
| 51 | 1796.2908 | 48/17 | |
| 52 | 1831.5122 | 72/25 | |
| 53 | 1866.7336 | 50/17 | |
| 54 | 1901.9550 | exact 3/1 | just perfect fifth plus an octave |