editing disabled

103edo is the equal division of the octave into 103 steps of size 11.6505 cents each. It is a good miracle tuning, especially for the 7- and 13- limits and benediction and hemisecordite, two of the 13-limit extensions of miracle. It tempers out 78732/78125 in the 5-limit; 225/224, 1029/1024 and 2401/2400 in the 7-limit; 243/242, 441/440 and 540/539 in the 11-limit; 351/350 and 847/845 in the 13-limit. In the 13-limit it provides the optimal patent val for marvel temperament as well as benediction and hemisecordite.

103edo is the 27th prime edo.

13-limit temperaments

Degree
cents
temperament
1
11.650
Marvel and Benediction
2
23.301
Hemisecordite
3
34.951
Marvel and Benediction, Hemisecordite
4
46.602
Marvel and Benediction
5
58.252
Hemisecordite
6
69.903
Marvel and Benediction
7
81.553
Marvel and Benediction, Hemisecordite
8
93.204
Hemisecordite
9
104.854
Marvel and Benediction
10
116.505
Marvel and Benediction, Hemisecordite
11
128.155
Marvel and Benediction
12
139.806
Hemisecordite
13
151.456
Marvel and Benediction, Hemisecordite
14
163.107
Marvel and Benediction
15
174.757
Hemisecordite
16
186.408
Marvel and Benediction
17
198.058
Marvel and Benediction, Hemisecordite
18
209.708
Hemisecordite
19
221.359
Marvel and Benediction
20
233.010
Marvel and Benediction, Hemisecordite
21
244.660
Marvel and Benediction
22
256.311
Hemisecordite
23
267.961
Marvel and Benediction, Hemisecordite
24
279.712
Marvel and Benediction
25
291.262
Hemisecordite
26
303.013
Marvel and Benediction
27
314.563
Marvel and Benediction, Hemisecordite
28
326.214
Hemisecordite
29
337.864
Marvel and Benediction
30
349.615
Marvel and Benediction, Hemisecordite
31
361.165
Marvel and Benediction
32
372.816
Hemisecordite
33
384.466
Marvel and Benediction, Hemisecordite
34
396.117
Marvel and Benediction
35
407.767
Hemisecordite
36
419.4175
Marvel and Benediction
37
431.068
Marvel and Benediction, Hemisecordite
38
442.708
Hemisecordite
39
454.369
Marvel and Benediction
40
466.019
Marvel and Benediction, Hemisecordite
41
477.670
Marvel and Benediction
42
489.320
Hemisecordite
43
500.971
Marvel and Benediction, Hemisecordite
44
512.621
Marvel and Benediction
45
524.272
Hemisecordite
46
535.922
Marvel and Benediction
47
547.573
Marevel and Benediction, Hemisecordite
48
559.223
Hemisecordite
49
570.874
Marvel and Benediction
50
582.524
Marvel and Benediction, Hemisecordite
52
605.825
Marvel and Benediction, Hemisecordite
53
617.476
Marvel and Benediction, Hemisecordite
54
629.126
Marvel and Benediction
55
640.777
Hemisecordite
56
652.427
Marvel and Benediction, Hemisecordite
57
664.078
Marvel and Benediction
58
675.728
Hemisecordite
59
687.379
Marvel and Benediction
60
699.029
Marvel and Benediction, Hemisecordite
61
710.677
Hemisecordite
62
722.330
Marvel and Benediction
63
733.981
Marvel and Benediction, Hemisecordite
64
745.631
Marvel and Benediction
65
757.282
Hemisecordite
66
768.932
Marvel and Benediction, Hemisecordite
67
780.583
Marvel and Benediction
68
792.233
Hemisecordite
69
803.883
Marvel and Benediction
70
815.534
Marvel and Benediction, Hemisecordite
71
827.185
Hemisecordite
72
838.835
Marvel and Benediction
73
850.385
Marvel and Benediction. Hemisecordite
74
862.156
Marvel and Benediction
75
873.786
Hemisecordite
76
885.537
Marvel and Benediction, Hemisecordite
77
896.987
Marvel and Benediction
78
908.638
Hemisecordite
79
920.388
Marvel and Benediction, Hemisecordite
80
932.039
Marvel and Benediction
81
943.689
Hemisecordite
82
955.34
Marvel and Benediction
83
966.99
Marvel and Benediction, Hemisecordite
84
978.641
Marvel and Benediction
85
990.291
Hemisecordite
86
1001.942
Marvel and Benediction, Hemisecordite
87
1013.592
Marvel and Benediction
88
1025.243
Hemisecordite
89
1036.893
Marvel and Benediction
90
1048.544
Marvel and Benediction, Hemisecordite
91
1060.194
Hemisecordite
92
1071.845
Marvel and Benediction
93
1083.495
Marvel and Benediction, Hemisecordite
94
1095.146
Marvel and Benediction
95
1106.796
Hemisecordite
96
1118.447
Marvel and Benediction, Hemisecordite
97
1130.097
Marvel and Benediction
98
1141.748
Hemisecordite
99
1153.398
Marvel and Benediction
100
1165.0485
Marvel and Benediction, Hemisecordite
101
1176.609
Hemisecordite
102
1188.3495
Marvel and Benediction