45edt
Jump to navigation
Jump to search
The 45 equal division of 3, the tritave, divides it into 45 equal parts of 42.266 cents each, corresponding to 28.392 edo. It makes for a strong 17-limit no-twos system, particularly with respect to the tuning of 5, 13, and 17. It tempers out 3125/3087 in the 7-limit, 891/875 and 2475/2401 in the 11-limit, 275/273, 351/343, 847/845 and 2197/2187 in the 13-limit, and 121/119, 459/455 and 2025/2023 in the 17-limit. It is the tenth no-twos zeta peak edt.
Intervals of 45edt[edit]
Degrees | Cents | Approximate Ratios |
0 | 0 | 1/1 |
1 | 42.266 | |
2 | 84.531 | |
3 | 126.797 | 14/13, 15/14, 16/15, 29/27 |
4 | 169.063 | |
5 | 211.328 | 9/8 |
6 | 253.594 | 15/13 |
7 | 295.860 | |
8 | 338.125 | |
9 | 380.391 | 5/4 |
10 | 422.657 | |
11 | 464.922 | 13/10 |
12 | 507.188 | 4/3 |
13 | 549.454 | |
14 | 591.719 | 7/5 |
15 | 633.985 | 13/9 |
16 | 676.251 | |
17 | 718.516 | |
18 | 760.782 | 14/9 |
19 | 803.048 | 8/5 |
20 | 845.313 | |
21 | 887.579 | 5/3 |
22 | 929.845 | 12/7 |
23 | 972.110 | 7/4 |
24 | 1014.376 | 9/5 |
25 | 1056.642 | |
26 | 1098.907 | 17/9 |
27 | 1141.173 | 27/14 |
28 | 1183.439 | |
29 | 1225.704 | |
30 | 1267.970 | 27/13 |
31 | 1310.236 | |
32 | 1352.501 | |
33 | 1394.767 | 9/4 (9/8 plus an octave) |
34 | 1437.033 | 16/7 |
35 | 1479.298 | |
36 | 1521.564 | 12/5 (6/5 plus an octave) |
37 | 1563.830 | |
38 | 1606.095 | |
39 | 1648.361 | 13/5 (13/10 plus an octave) |
40 | 1690.627 | 8/3 |
41 | 1732.892 | |
42 | 1775.158 | 14/5 (7/5 plus an octave) |
43 | 1817.424 | 20/7 |
44 | 1859.689 | |
45 | 1901.955 | 3/1 |