35edt
Division of the third harmonic into 35 equal parts (35edt) is related to 22 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 4.4854 cents compressed and the step size is about 54.3416 cents. It is consistent to the 12-integer-limit.
degree | cents value | corresponding JI intervals |
comments |
---|---|---|---|
0 | 0.0000 | exact 1/1 | |
1 | 54.3416 | 33/32, 32/31 | |
2 | 108.6831 | 33/31 | |
3 | 163.0247 | ||
4 | 217.3663 | 17/15 | |
5 | 271.7079 | ||
6 | 326.0494 | ||
7 | 380.3910 | 81/65 | pseudo-5/4 |
8 | 434.7326 | 9/7 | |
9 | 489.0741 | 69/52 | |
10 | 543.4157 | 26/19 | |
11 | 597.7573 | 24/17 | |
12 | 652.0989 | 35/24 | |
13 | 706.4404 | pseudo-3/2 | |
14 | 760.7820 | 45/29 | |
15 | 815.1236 | 8/5 | |
16 | 869.4651 | 38/23, 81/49 | |
17 | 923.8067 | 46/27 | |
18 | 978.1483 | 81/46 | |
19 | 1032.4899 | 49/27, 69/38 | |
20 | 1086.8314 | 15/8 | |
21 | 1141.1730 | 29/15 | |
22 | 1195.5146 | pseudo-octave | |
23 | 1249.8561 | 72/35 | |
24 | 1304.1977 | 17/8 | |
25 | 1358.5393 | 57/26 | |
26 | 1412.8809 | 52/23 | |
27 | 1467.2224 | 7/3 | |
28 | 1521.5640 | 65/27 | |
29 | 1575.9056 | ||
30 | 1630.2471 | ||
31 | 1684.5887 | 45/17 | |
32 | 1738.9303 | ||
33 | 1793.2719 | 31/11 | |
34 | 1847.6134 | 32/11 | |
35 | 1901.9550 | exact 3/1 | just perfect fifth plus an octave |