48ed10

← 47ed10

48ed10

49ed10 →

Prime factorization	24 × 3
Step size	83.0482¢
Octave	14\48ed10 (1162.67¢) (→7\24ed10)
Twelfth	23\48ed10 (1910.11¢)
Consistency limit	2
Distinct consistency limit	2
Special properties	highly composite

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