53ed7

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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