53ed7

Division of the 7th harmonic into 53 equal parts (53ed7) is related to 19edo, 30edt, and Carlos Beta, but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	63.5628	28/27, 27/26
2	127.1255	14/13
3	190.6883	19/17
4	254.2510	22/19
5	317.8138	6/5, 77/64
6	381.3765	96/77
7	444.9393	22/17
8	508.5020
9	572.0648	32/23
10	635.6275	13/9
11	699.1903	3/2
12	762.7530	14/9
13	826.3158
14	889.8785	77/46
15	953.4413	26/15
16	1017.0040	9/5
17	1080.5668	28/15
18	1144.1296	64/33
19	1207.6923	161/80	pseudo-octave
20	1271.2551	25/12
21	1334.8178	54/25
22	1398.3806	56/25, 110/49
23	1461.9433
24	1525.5061
25	1589.0688	5/2
26	1652.6316	13/5
27	1716.1943	35/13
28	1779.7571	14/5
29	1843.3198
30	1906.8826		pseudo-3/1
31	1970.4453	25/8
32	2034.0081	68/21
33	2097.5708	84/25
34	2161.1336	80/23
35	2224.6964	76/21
36	2288.2591	15/4
37	2351.8219	35/9
38	2415.3846	105/26	pseudo-4/1
39	2478.9474	46/11, 88/21
40	2542.5101	100/23
41	2606.0729	9/2
42	2669.6356	14/3
43	2733.1984	63/13
44	2796.7611	161/32	pseudo-5/1
45	2860.3239
46	2923.8866	119/22
47	2987.4494
48	3051.0121	64/11, 35/6
49	3114.5749	133/22	pseudo-6/1
50	3178.1376	119/19
51	3241.7004	13/2
52	3305.2632	27/4
53	3368.8259	exact 7/1	harmonic seventh plus two octaves