Table of 103edo intervals
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This table of 103edo intervals assumes 17-limit patent val ⟨103 163 239 289 356 381 421] 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 | Marks | 5-limit | 7-limit | 11-limit | 13-limit | Higher Limits |
---|---|---|---|---|---|---|---|
0 | 0.000 | P1 | 1/1 | ||||
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 | 36/35 | 33/32 | " | 35/34 | ||
5 | 58.252 | 27/26 | 34/33 | ||||
6 | 69.903 | 25/24 | 28/27 | " | 26/25 | " | |
7 | 81.553 | 21/20 | 22/21 | " | " | ||
8 | 93.204 | 18/17 | |||||
9 | 104.854 | m2 | 17/16 | ||||
10 | 116.505 | 16/15 | 15/14 | " | " | " | |
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 | M2 | 9/8 | " | " | " | " |
18 | 209.708 | 44/39 | " | ||||
19 | 221.359 | 25/22 | " | 17/15 | |||
20 | 233.010 | 8/7 | " | " | " | ||
21 | 244.660 | 15/13 | " | ||||
22 | 256.311 | 52/45 | " | ||||
23 | 267.961 | 7/6 | " | " | " | ||
24 | 279.712 | 20/17 | |||||
25 | 291.262 | 13/11 | " | ||||
26 | 303.013 | m3 | 32/27 | 25/21 | " | " | " |
27 | 314.563 | 6/5 | " | " | " | " | |
28 | 326.214 | 63/52, 65/54 | " | ||||
29 | 337.864 | 39/32 | 17/14 | ||||
30 | 349.615 | 49/40, 60/49 | 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 | M3 | 63/50 | 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 | 21/16 | " | " | 17/13 | ||
41 | 477.670 | ||||||
42 | 489.320 | 65/49 | " | ||||
43 | 500.971 | P4 | 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 | 45/32 | 7/5 | " | " | " | |
51 | 594.175 | A4 | 24/17 | ||||
52 | 605.825 | d5 | 17/12 | ||||
53 | 617.476 | 64/45 | 10/7 | " | " | " | |
54 | 629.126 | 36/25 | " | " | " | " | |
55 | 640.777 | 13/9 | " | ||||
56 | 652.427 | 16/11 | " | " | |||
57 | 664.078 | 22/15 | " | " | |||
58 | 675.728 | 96/65 | " | ||||
59 | 687.379 | 40/27 | " | " | " | " | |
60 | 699.029 | P5 | 3/2 | " | " | " | " |
61 | 710.680 | 98/65 | " | ||||
62 | 722.330 | ||||||
63 | 733.981 | 32/21 | " | " | " | ||
64 | 745.631 | 20/13 | " | ||||
65 | 757.282 | 17/11 | |||||
66 | 768.932 | 14/9 | " | " | " | ||
67 | 780.583 | 11/7 | " | " | |||
68 | 792.233 | 52/33 | " | ||||
69 | 803.883 | m6 | 100/63 | 35/22 | " | " | |
70 | 815.534 | 8/5 | " | " | " | ||
71 | 827.184 | 21/13, 130/81 | " | ||||
72 | 838.835 | 13/8 | 34/21 | ||||
73 | 850.485 | 49/30, 80/49 | 18/11, 44/27 | " | " | ||
74 | 862.136 | 64/39 | 28/17 | ||||
75 | 873.786 | 104/63, 108/65 | " | ||||
76 | 885.437 | 5/3 | " | " | " | ||
77 | 897.087 | M6 | 27/16 | 42/25 | " | " | " |
78 | 908.738 | 22/13 | " | ||||
79 | 920.388 | 17/10 | |||||
80 | 932.039 | 12/7 | " | " | " | ||
81 | 943.689 | 45/26 | " | " | |||
82 | 955.340 | 26/15 | " | " | |||
83 | 966.990 | 7/4 | " | " | " | ||
84 | 978.641 | 44/25 | " | 30/17 | |||
85 | 990.291 | 39/22 | " | ||||
86 | 1001.942 | m7 | 16/9 | " | " | " | " |
87 | 1013.592 | 9/5 | " | " | " | " | |
88 | 1025.243 | 65/36 | " | ||||
89 | 1036.893 | 20/11 | " | " | |||
90 | 1048.544 | 11/6 | " | " | |||
91 | 1060.194 | 24/13 | " | ||||
92 | 1071.845 | 13/7 | " | ||||
93 | 1083.495 | 15/8 | 28/15 | " | " | " | |
94 | 1095.146 | M7 | " | " | " | " | 32/17 |
95 | 1106.796 | 17/9 | |||||
96 | 1118.447 | 40/21 | 21/11 | " | " | ||
97 | 1130.097 | 48/25 | 27/14 | " | 25/13 | " | |
98 | 1141.748 | 52/27 | 33/17 | ||||
99 | 1153.398 | 35/18 | 64/33 | " | 68/35 | ||
100 | 1165.049 | 49/25, 63/32, 96/49 | " | " | " | ||
101 | 1176.699 | 65/33, 77/39, 128/65 | " | ||||
102 | 1188.350 | 160/81 | 125/63 | " | " | " | |
103 | 1200.000 | P8 | 2/1 |