48ed10

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48ED10 is the equal division of the 10th harmonic into 48 parts of 83.0482 cents each. It is related to the sextilififths temperament, which tempers out 364/363, 441/440, 676/675, and 10985/10976 in the 13-limit.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 83.0482 21/20
2 166.0964 11/10
3 249.1446 15/13, 52/45
4 332.1928 23/19, 63/52, 40/33
5 415.2410 33/26, 14/11
6 498.2892 4/3
7 581.3374 7/5
8 664.3856 22/15
9 747.4338 20/13
10 830.4820 21/13
11 913.5302 22/13
12 996.5784 16/9
13 1079.6266 28/15
14 1162.6748 88/45, 45/23
15 1245.7230 80/39
16 1328.7712 28/13
17 1411.8194 52/23
18 1494.8676 64/27, 19/8
19 1577.9158 209/84
20 1660.9640 60/23
21 1744.0122 52/19, 63/23
22 1827.0605 66/23, 23/8
23 1910.1087 253/84, 190/63
24 1993.1569 60/19, 256/81, 405/128, 19/6
25 2076.2051 63/19
26 2159.2533 66/19, 80/23
27 2242.3015 84/23
28 2325.3497 88/23, 23/6
29 2408.3979 840/209
30 2491.4461 80/19, 135/32, 38/9
31 2574.4943 84/19
32 2657.5425 88/19, 65/14
33 2740.5907 39/8
34 2823.6389 46/9, 225/44
35 2906.6871 75/14
36 2989.7353 45/8
37 3072.7835 65/11
38 3155.8317 130/21
39 3238.8799 13/2
40 3321.9281 75/11
41 3404.9763 50/7
42 3488.0245 15/2
43 3571.0727 55/7
44 3654.1209 33/4
45 3737.1691 26/3
46 3820.2173 136/15, 100/11
47 3903.2655 200/21
48 3986.3137 exact 10/1 just major third plus three octaves