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75 tone equal temperament


75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for tetracot temperament. It provides the optimal patent val for 12&51 temperament in the 7-limit and the 31&75 temperament in the 13-limit.

Intervals

Step
Size in Cents
0
0
1
16
2
32
3
48
4
64
5
80
6
96
7
112
8
128
9
144
10
160
11
176
12
192
13
208
14
224
15
240
16
256
17
272
18
288
19
304
20
320
21
336
22
352
23
368
24
384
25
400
26
416
27
432
28
448
29
464
30
480
31
496
32
512
33
528
34
544
35
560
36
576
37
592
38
608
39
624
40
640
41
656
42
672
43
688
44
704
45
720
46
736
47
752
48
768
49
784
50
800
51
816
52
832
53
848
54
864
55
880
56
896
57
912
58
928
59
944
60
960
61
976
62
992
63
1008
64
1024
65
1040
66
1056
67
1072
68
1088
69
1104
70
1120
71
1136
72
1152
73
1168
74
1184