38ed10

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38ED10 is the equal division of the 10th harmonic into 38 parts of 104.9030 cents each. It is related to the 17-limit temperament which tempers out 351/350, 540/539, 561/560, 715/714, and 4225/4224, which is supported by 80edo, 103edo, and 183edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 104.9030 17/16
2 209.8060 44/39
3 314.7090 6/5
4 419.6120 65/51, 51/40
5 524.5150 65/48
6 629.4180 23/16
7 734.3209 55/36
8 839.2239 13/8
9 944.1269 88/51
10 1049.0299 11/6
11 1153.9329
12 1258.8359 91/44, 60/29, 176/85
13 1363.7389 11/5
14 1468.6419
15 1573.5449
16 1678.4479
17 1783.3509 14/5
18 1888.2539
19 1993.1569
20 2098.0598
21 2202.9628 25/7
22 2307.8658
23 2412.7688
24 2517.6718
25 2622.5748 50/11
26 2727.4778 29/6, 440/91
27 2832.3808
28 2937.2838 60/11
29 3042.1868 255/44
30 3147.0898 80/13
31 3251.9928 72/11
32 3356.8958 160/23
33 3461.7988 96/13
34 3566.7017 102/13
35 3671.6047 25/3
36 3776.5077 195/22
37 3881.4107 160/17
38 3986.3137 exact 10/1 just major third plus three octaves