Table of 103edo intervals

Revision as of 04:22, 29 January 2024 by FloraC (talk | contribs) (New table contained too many problems. Revert to old table)

This table of 103edo intervals assumes 13-limit patent val 103 163 239 289 356 381] of 103edo.

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

Degree Cents Approximate Ratios
1 11.650 81/80, 126/125
2 23.301 65/64, 66/65, 78/77
3 34.951 49/48, 50/49, 64/63
4 46.602 33/32, 35/34, 36/35
5 58.252 27/26, 34/33
6 69.903 25/24, 26/25, 28/27
7 81.553 21/20, 22/21
8 93.204 18/17
9 104.854 17/16
10 116.505 15/14, 16/15
11 128.155 14/13
12 139.806 13/12
13 151.456 12/11
14 163.107 11/10
15 174.757 72/65
16 186.408 10/9
17 198.058 9/8
18 209.708
19 221.359 17/15, 25/22
20 233.010 8/7
21 244.660 15/13
22 256.311
23 267.961 7/6
24 279.712 20/17
25 291.262 13/11
26 303.013 25/21
27 314.563 6/5
28 326.214 63/52, 65/54
29 337.864 17/14, 39/32
30 349.615 11/9, 27/22
31 361.165 16/13, 21/17
32 372.816 26/21, 81/65
33 384.466 5/4
34 396.117 44/35
35 407.767 33/26
36 419.417 14/11
37 431.068 9/7
38 442.708 22/17
39 454.369 13/10
40 466.019 17/13, 21/16
41 477.670
42 489.320 65/49
43 500.971 4/3
44 512.621 27/20
45 524.272 65/48
46 535.922 15/11
47 547.573 11/8
48 559.223 18/13
49 570.874 25/18
50 582.524 7/5
51 594.175 24/17