| Prime factorization
|
32 × 5
|
| Step size
|
42.2657¢
|
| Octave
|
28\45edt (1183.44¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
45EDT is the equal division of the third harmonic into 45 parts of 42.2657 cents each, corresponding to 28.3918 edo. It makes for a strong no-twos 17-limit 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 (no-twos subgroup). It is the tenth no-twos zeta peak edt.
Intervals of 45EDT
| Degrees
|
Cents
|
hekts
|
Approximate Ratios
|
| 0
|
1/1
|
| 1
|
42.266
|
28.889
|
|
| 2
|
84.531
|
57.778
|
21/20
|
| 3
|
126.797
|
86.667
|
14/13, 15/14, 16/15, 29/27
|
| 4
|
169.063
|
115.556
|
11/10
|
| 5
|
211.328
|
144.444
|
9/8
|
| 6
|
253.594
|
173.333
|
15/13
|
| 7
|
295.86
|
202.222
|
19/16
|
| 8
|
338.125
|
231.111
|
17/14
|
| 9
|
380.391
|
260
|
5/4
|
| 10
|
422.657
|
288.889
|
14/11
|
| 11
|
464.922
|
317.778
|
21/16, 17/13
|
| 12
|
507.188
|
336.667
|
4/3
|
| 13
|
549.454
|
375.556
|
11/8
|
| 14
|
591.719
|
304.444
|
7/5
|
| 15
|
633.985
|
433.333
|
13/9
|
| 16
|
676.251
|
462.222
|
40/27. 189/128
|
| 17
|
718.516
|
491.111
|
50/33
|
| 18
|
760.782
|
520
|
14/9
|
| 19
|
803.048
|
548.889
|
8/5
|
| 20
|
845.313
|
577.778
|
13/8
|
| 21
|
887.579
|
606.667
|
5/3, 17/11
|
| 22
|
929.845
|
635.556
|
12/7
|
| 23
|
972.110
|
664.444
|
7/4
|
| 24
|
1014.376
|
693.333
|
9/5, 33/17
|
| 25
|
1056.642
|
722.222
|
24/13
|
| 26
|
1098.907
|
751.111
|
17/9
|
| 27
|
1141.173
|
780
|
27/14
|
| 28
|
1183.439
|
808.889
|
99/50
|
| 29
|
1225.704
|
837.778
|
81/40, 128/63
|
| 30
|
1267.97
|
866.667
|
27/13
|
| 31
|
1310.236
|
895.556
|
32/15
|
| 32
|
1352.501
|
924.444
|
24/11
|
| 33
|
1394.767
|
953.333
|
9/4 (9/8 plus an octave)
|
| 34
|
1437.033
|
982.222
|
16/7, 39/17
|
| 35
|
1479.298
|
1011.111
|
33/14
|
| 36
|
1521.564
|
1040
|
12/5 (6/5 plus an octave)
|
| 37
|
1563.83
|
1068.889
|
42/17
|
| 38
|
1606.095
|
1097.778
|
48/19
|
| 39
|
1648.361
|
1126.667
|
13/5 (13/10 plus an octave)
|
| 40
|
1690.627
|
1155.556
|
8/3
|
| 41
|
1732.892
|
1184.444
|
30/11
|
| 42
|
1775.158
|
1213.333
|
39/14, 14/5 (7/5 plus an octave), 45/16, 81/29
|
| 43
|
1817.424
|
1242.222
|
20/7
|
| 44
|
1859.689
|
1271.111
|
|
| 45
|
1901.955
|
1300
|
3/1
|