48ed10

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