10ed7/4

10ED7/4 is the equal division of the harmonic seventh into ten parts of 96.8826 cents each, corresponding to 12.3861 EDO.

Intervals

degree	cents value	ratio
0	0.0000	1/1
1	96.8826	(7/4)1/10
2	193.7652	(7/4)1/5
3	290.6478	(7/4)3/10
4	387.5304	(7/4)2/5
5	484.4130	(7/4)1/2
6	581.2955	(7/4)3/5
7	678.1781	(7/4)7/10
8	775.0607	(7/4)4/5
9	871.9433	(7/4)9/10
10	968.8259	7/4
11	1065.7085	(7/4)11/10
12	1162.5911	(7/4)6/5
13	1259.4737	(7/4)13/10
14	1356.3563	(7/4)7/2
15	1453.2389	(7/4)3/2
16	1550.1215	(7/4)8/5
17	1647.0040	(7/4)17/10
18	1743.8866	(7/4)9/5
19	1840.7692	(7/4)19/10
20	1937.6518	(7/4)2 = 49/16
21	2034.5344	(7/4)21/10
22	2131.4170	(7/4)11/5
23	2228.2996	(7/4)23/10
24	2325.1822	(7/4)12/5
25	2422.0648	(7/4)5/2
26	2518.9474	(7/4)13/5
27	2615.8299	(7/4)27/10
28	2712.7125	(7/4)14/5
29	2809.5951	(7/4)29/10
30	2906.4777	(7/4)3 = 343/64
31	3003.3603	(7/4)31/10
32	3100.2429	(7/4)16/5
33	3197.1255	(7/4)33/10
34	3294.0081	(7/4)17/10
35	3390.8907	(7/4)7/2
36	3487.7733	(7/4)18/5
37	3584.6559	(7/4)37/10
38	3681.5384	(7/4)19/5

Just approximation

Only very few intervals like the just major third and the Huygens' tritone are well approximated by 10ed7/4.

15-odd-limit mappings

The following table shows how 15-odd-limit intervals are represented in 10ed7/4 (can be ordered by absolute error).

Direct mapping (even if inconsistent)

Interval(s)	Error (abs, ¢)
7/4	0.0
2/1	37.409
3/2	23.777
5/4	1.217
9/8	10.145
11/8	29.978
13/8	31.416
15/8	22.56
14/9	10.145
28/15	14.849
10/7	36.192
16/11	29.496
13/10	30.199
9/5	48.112
10/9	11.361
26/15	16.567
13/11	1.438
13/7	5.993
16/13	28.058
7/6	23.777
5/3	12.415
20/13	29.275
11/10	28.761
8/5	38.626
9/7	47.554
11/9	40.122
18/11	19.351
24/13	4.281
22/15	15.129
15/13	42.907
15/11	44.345
16/9	27.264
12/7	35.697
7/5	1.217
12/11	43.128
4/3	13.632
11/6	16.346
13/12	41.69
8/7	37.409
20/11	30.713
14/13	31.416
6/5	24.994
18/13	17.913
15/14	22.56
11/7	7.431
13/9	41.56
14/11	29.978
22/13	38.847
16/15	14.849