38ed10

From Xenharmonic Wiki
Jump to navigation Jump to search

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