56ed5

Division of the 5th harmonic into 56 equal parts (56ed5) is related to 24 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size is about 49.7556 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. This tuning is also a hyperpyth, tempering out 135/133, 171/169, 225/221, and 1521/1445 in the patent val.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	49.7556	36/35, 35/34
2	99.5112	18/17
3	149.2668	12/11
4	199.0224	55/49
5	248.7780	15/13
6	298.5336	19/16
7	348.2892	11/9
8	398.0448	34/27	pseudo-5/4
9	447.8004	35/27
10	497.5560	4/3
11	547.3116	70/51
12	597.0672	24/17
13	646.8228
14	696.5784		meantone fifth (pseudo-3/2)
15	746.3340	20/13
16	796.0896	19/12
17	845.8452	44/27, 75/46
18	895.6008	57/34	pseudo-5/3
19	945.3564	19/11
20	995.1120	16/9	pseudo-9/5
21	1044.8676	64/35
22	1094.6232	32/17
23	1144.3788
24	1194.1344	255/128	pseudo-octave
25	1243.8901	80/39, 39/19
26	1293.6457	19/9
27	1343.4013	50/23
28	1393.1569	38/17, 85/38	meantone major second plus an octave
29	1442.9125	23/10
30	1492.6681	45/19
31	1542.4237	39/16
32	1592.1793	128/51	pseudo-5/2
33	1641.9349		pseudo-13/5
34	1691.6905	85/32
35	1741.4461	175/64
36	1791.2017	45/16
37	1840.9573	55/19
38	1890.7129	170/57	pseudo-3/1
39	1940.4685	46/15, 135/44
40	1990.2241	60/19
41	2039.9797	13/4
42	2089.7353		meantone major sixth plus an octave (pseudo-10/3)
43	2139.4909		pseudo-17/5
44	2189.2465	85/24
45	2239.0021	51/14
46	2288.7577	15/4	pseudo-19/5
47	2338.5133	27/7
48	2388.2689	135/34	pseudo-4/1
49	2438.0245	45/11
50	2487.7801	80/19	pseudo-21/5
51	2537.5357	13/3
52	2587.2913	49/11
53	2637.0469	55/12
54	2686.8025	85/18
55	2736.5581	34/7
56	2786.3137	exact 5/1	just major third plus two octaves