Table of 103edo intervals: Difference between revisions

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Created page with "This '''table of 103edo intervals''' assumes 13-limit patent val {{val|103 163 239 289 356 381}}. Intervals highlighted in '''bold''' are prime harmonics or subh..."
 
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|''169/128'', [[224/169]], [[65/49]]
|''169/128'', [[224/169]], [[65/49]]

Revision as of 13:12, 26 January 2024

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

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.

# Cents Marks 5-limit 7-limit 11-limit 13-limit
0 0.00 P1 1/1
1 11.650 81/80 1029/1024 2835/2816 512/507, 144/143
2 23.301 81/80 64/63 8192/8085 65/64, 78/77
3 34.951 128/125 64/63, 49/48, 50/49
4 46.602 128/125 36/35 33/32 40/39, 1053/1024, 416/405
5 58.252 28/27 33/32, 512/495 121/117
6 69.903 25/24 126/121 176/169
7 81.553 25/24, 16384/15625 21/20 22/21
8 93.204 m2 135/128 21/20 128/121, 5120/4851 96/91, 325/308
9 104.854 16/15 1225/1152, 3584/3375 1089/1024 273/256, 52/49
10 116.505 16/15 15/14 77/72
11 128.155 13/12, 14/13
12 139.806 1024/945 12/11 13/12
13 151.456 12/11, 275/252 16384/15015
14 163.107 1125/1024 35/32 11/10 100/91
15 174.757 10/9 567/512, 448/405 256/231
16 186.408 10/9 49/44
17 198.058 9/8 28/25, 18375/16384 121/108 175/156
18 209.709 M2 9/8 640/567 2048/1815 44/39
19 221.359 256/225 8/7 25/22
20 233.010 9375/8192 8/7 143/125
21 244.660 144/125 147/128 15/13
22 256.311 7/6 [64/55]], 297/256 196/169
23 267.961 7/6 2048/1755
24 279.612 75/64 288/245 33/28, 88/75, 1280/1089 169/144, 1053/896
25 291.262 m3 32/27 4096/3465 13/11, 200/169
26 302.913 32/27 25/21, 343/288 512/429, 143/120
27 314.563 6/5 2457/2048
28 326.214 6/5 77/64, 1024/847, 2475/2048 63/52, 169/140
29 337.864 175/144 39/32, 1280/1053
30 349.515 49/40, 60/49 11/9 16/13, 39/32, 175/143
31 361.165 8192/6655, 154/125 16/13, 832/675
32 372.816 96/77, 1024/825, 2541/2048, 32768/26411 26/21
33 384.466 5/4, 8192/6561 156/125
34 396.117 5/4 121/96, 44/35
35 407.767 M3 81/64 14/11
36 419.417 32/25 125/98, 32768/25725 14/11, 275/216 8192/6435, 312/245
37 431.068 32/25 77/60, 440/343 50/39
38 442.718 9/7, 1323/1024 128/99
39 454.369 64/49 13/10
40 466.019 21/16, 64/49 72/55 1089/832
41 477.670 675/512 21/16 169/128
42 489.320 4/3 4096/3087 512/385, 297/224 169/128, 224/169, 65/49
43 500.971 P4 4/3, 10935/8192 21875/16384 385/288, 147/110, 720/539 243/182
44 512.621 27/20 343/256, 168/125 121/90 192/143, 35/26, 3328/2475
45 524.272 27/20 256/189 693/512 65/48, 88/65
46 535.922 48/35 15/11 567/416
47 547.573 48/35 11/8
48 559.223 112/81 11/8, 243/176, 8192/5929, 2475/1792 18/13
49 570.874 25/18 7/5 245/176, 2816/2025 18/13
50 582.524 d5 7/5
51 594.175 45/32 512/363, 5775/4096 128/91, 55/39
52 605.825 A4 64/45 363/256, 78/55, 8192/5775 91/64
53 617.476 10/7
54 629.126 36/25 10/7 352/245, 2025/1408 13/9
55 640.777 81/56 16/11, 352/243, 5929/4096, 3584/2475 13/9
56 652.427 35/24 16/11
57 664.078 35/24 22/15 832/567
58 675.728 40/27 189/128 1024/693 96/65, 65/44
59 687.379 40/27 512/343, 125/84 180/121 143/96, 52/35, 2475/1664
60 699.029 P5 3/2, 16384/10935 32768/21875 576/385, 220/147, 539/360 364/243
61 710.680 3/2 3087/2048 385/256, 448/297 256/169, 169/112, 98/65
62 722.330 1024/675 32/21 256/169
63 733.981 32/21, 49/32 55/36 1664/1089
64 745.631 49/32 20/13
65 757.282 14/9, 2048/1323 99/64
66 768.932 25/16 120/77, 343/220 39/25
67 780.583 25/16 196/125, 25725/16384 11/7, 432/275 6435/4096, 245/156
68 792.233 m6 128/81 11/7
69 803.883 8/5 192/121, 35/22
70 815.534 8/5, 6561/4096 125/78
71 827.184 77/48, 825/512, 4096/2541, 26411/16384 21/13
72 838.835 6655/4096, 125/77 13/8, 675/416
73 850.485 80/49, 49/30 18/11 13/8, 64/39
74 862.136 288/175 64/39, 1053/640
75 873.786 5/3 128/77, 847/512, 4096/2475 104/63, 280/169
76 885.437 5/3 4096/2457
77 897.087 27/16 42/25, 576/343 429/256, 240/143
78 908.738 M6 27/16 3465/2048 22/13, 169/100
79 920.388 128/75 245/144 56/33, 75/44, 1089/640 288/169, 1792/1053
80 932.039 12/7 1755/1024
81 943.689 12/7 55/32, 512/297 169/98
82 955.340 125/72 256/147 26/15
83 966.990 16384/9375 7/4 250/143
84 978.641 225/128 7/4 44/25
85 990.291 m7 16/9 567/320 1815/1024 39/22
86 1001.942 16/9 25/14, 32768/18375 216/121 312/175
87 1013.592 9/5 88/49
88 1025.243 9/5 1024/567, 405/224 231/128
89 1036.893 2048/1125 64/35 20/11 91/50
90 1048.544 11/6, 504/275 15015/8192
91 1060.194 945/512 11/6 24/13
92 1071.845 24/13, 13/7
93 1083.495 15/8 28/15 144/77
94 1095.146 15/8 2304/1225, 3375/1792 2048/1089 512/273, 49/26
95 1106.796 M7 256/135 40/21 121/64, 4851/2560 91/48, 616/325
96 1118.447 48/25, 15625/8192 40/21 21/11
97 1130.097 48/25 121/63 169/88
98 1141.748 27/14 64/33, 495/256 234/121
99 1153.398 125/64 35/18 64/33 39/20, 2048/1053, 405/208
100 1165.049 125/64 63/32, 96/49, 49/25
101 1176.699 160/81 63/32 8085/4096 128/65, 77/39
102 1188.350 160/81 2048/1029 5632/2835 507/256, 143/72
103 1200.000 P8 2/1