72ed5

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Division of the 5th harmonic into 72 equal parts (72ed5) is related to 31 edo, but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.3372 cents) and the step size is about 38.6988 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 38.6988 46/45, 45/44
2 77.3976 23/22, 68/65, 22/21
3 116.0964 15/14 pseudo-16/15
4 154.7952 35/32, 23/21
5 193.4940 19/17, 85/76
6 232.1928 8/7
7 270.8916 76/65 pseudo-7/6
8 309.5904 55/46 pseudo-6/5
9 348.2892 11/9
10 386.9880 5/4
11 425.6868 23/18
12 464.3856 17/13
13 503.0844 pseudo-4/3
14 541.7832 175/128, 26/19
15 580.4820 7/5
16 619.1808 10/7
17 657.8796 19/13
18 696.5784 meantone fifth
(pseudo-3/2)
19 735.2772 55/36, 26/17
20 773.9760 25/16, 36/23
21 812.6748 8/5
22 851.3736 85/52, 18/11
23 890.0724 pseudo-5/3
24 928.7712 65/38
25 967.4700 7/4
26 1006.1688 25/14
27 1044.8676 95/52, 64/35
28 1083.5664 pseudo-15/8
29 1122.2652 21/11, 65/34, 44/23
30 1160.9640 45/23
31 1199.6628 2/1
32 1238.3617 45/22
33 1277.0605 23/11
34 1315.7593
35 1354.4581 35/16
36 1393.1569 38/17, 85/38 meantone major second plus an octave
37 1431.8557 16/7
38 1470.5545
39 1509.2533 55/23
40 1547.9521 22/9
41 1586.6509 5/2
42 1625.3497 23/9
43 1664.0485 34/13
44 1702.7473 pseudo-8/3
45 1741.4461 175/64, 52/19
46 1780.1449 14/5
47 1818.8437 20/7
48 1857.5425 38/13
49 1896.2413 pseudo-3/1
50 1934.9401 55/18, 52/17
51 1973.6389 25/8
52 2012.3377 115/36, 16/5
53 2051.0365 85/26, 36/11
54 2089.7353 meantone major sixth plus an octave
(pseudo-10/3)
55 2128.4341 65/19
56 2167.1329 7/2
57 2205.8317 25/7
58 2244.5305 95/26, 128/35
59 2283.2293 pseudo-15/4
60 2321.9281 65/17
61 2360.6269 90/23
62 2399.3257 4/1
63 2438.0245 45/11
64 2476.7233 46/11
65 2515.4221
66 2554.1209 35/8
67 2592.8197 76/17, 85/19
68 2631.5185 32/7
69 2670.2173 14/3
70 2708.9161 110/23
71 2747.6149 44/9
72 2786.3137 exact 5/1 just major third plus two octaves