45edt

From TD Xenharmonic Wiki
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