45edt

Revision as of 00:00, 17 July 2018 by Wikispaces>FREEZE

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

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