Table of 99edo intervals
Assuming the 13-limit patent val ⟨99 157 230 278 342 366].
Step | Cents | Five limit | Seven limit | Eleven limit | Thirteen limit |
---|---|---|---|---|---|
1 | 12.121 | 2048/2025 | 126/125 | 99/98 | 91/90 |
2 | 24.242 | 81/80 | 64/63 | 55/54 | |
3 | 36.364 | 128/125 | 49/48 | ||
4 | 48.485 | 250/243 | 36/35 | 33/32 | |
5 | 60.606 | 648/625 | 28/27 | 26/25 | |
6 | 72.727 | 25/24 | 22/21 | ||
7 | 84.848 | 256/243 | 21/20 | ||
8 | 96.970 | 135/128 | 81/77 | 52/49 | |
9 | 109.091 | 16/15 | |||
10 | 121.212 | 2187/2048 | 15/14 | ||
11 | 133.333 | 27/25 | 13/12 | ||
12 | 145.455 | 625/576 | 49/45 | ||
13 | 157.576 | 800/729 | 35/32 | 11/10 | |
14 | 169.697 | 1125/1024 | 54/49 | ||
15 | 181.818 | 10/9 | |||
16 | 193.939 | 4096/3645 | 28/25 | ||
17 | 206.061 | 9/8 | |||
18 | 218.182 | 256/225 | 245/216 | 112/99 | 91/80 |
19 | 230.303 | 729/640 | 8/7 | ||
20 | 242.424 | 144/125 | 144/125 | 63/55 | 52/45 |
21 | 254.545 | 125/108 | 81/70 | 15/13 | |
22 | 266.667 | 729/625 | 7/6 | ||
23 | 278.788 | 75/64 | 33/28 | ||
24 | 290.909 | 32/27 | 13/11 | ||
25 | 303.030 | 1215/1024 | 25/21 | ||
26 | 315.152 | 6/5 | |||
27 | 327.273 | 3125/2592 | 98/81 | 91/75 | |
28 | 339.394 | 243/200 | 128/105 | 11/9 | |
29 | 351.515 | 625/512 | 49/40 | ||
30 | 363.636 | 100/81 | 100/81 | 27/22 | 16/13 |
31 | 375.758 | 3888/3125 | 56/45 | ||
32 | 387.879 | 5/4 | |||
33 | 400 | 512/405 | 63/50 | 49/39 | |
34 | 412.121 | 81/64 | 80/63 | 80/63 | 33/26 |
35 | 424.242 | 32/25 | 32/25 | 14/11 | |
36 | 436.364 | 625/486 | 9/7 | ||
37 | 448.485 | 162/125 | 35/27 | 13/10 | |
38 | 460.606 | 125/96 | 64/49 | 55/42 | |
39 | 472.727 | 320/243 | 21/16 | ||
40 | 484.848 | 675/512 | 250/189 | 65/49 | |
41 | 496.970 | 4/3 | |||
42 | 509.091 | 8192/6075 | 75/56 | 66/49 | |
43 | 521.212 | 27/20 | |||
44 | 533.333 | 512/375 | 49/36 | ||
45 | 545.455 | 1000/729 | 48/35 | 11/8 | |
46 | 557.576 | 864/625 | 112/81 | 91/66 | |
47 | 569.697 | 25/18 | 18/13 | ||
48 | 581.818 | 1024/729 | 7/5 | ||
49 | 593.939 | 45/32 | |||
50 | 606.061 | 64/45 | |||
51 | 618.182 | 729/512 | 10/7 | ||
52 | 630.303 | 36/25 | 13/9 | ||
53 | 642.424 | 625/432 | 81/56 | 75/52 | |
54 | 654.545 | 729/500 | 35/24 | 16/11 | |
55 | 666.667 | 375/256 | 72/49 | ||
56 | 678.788 | 40/27 | |||
57 | 690.909 | 6075/4096 | 112/75 | 49/33 | |
58 | 703.030 | 3/2 | |||
59 | 715.152 | 1024/675 | 189/125 | 91/60 | |
60 | 727.273 | 243/160 | 32/21 | ||
61 | 739.394 | 192/125 | 49/32 | ||
62 | 751.515 | 125/81 | 54/35 | 20/13 | |
63 | 763.636 | 972/625 | 14/9 | ||
64 | 775.758 | 25/16 | 11/7 | ||
65 | 787.879 | 128/81 | 63/40 | 52/33 | |
66 | 800 | 405/256 | 100/63 | 78/49 | |
67 | 812.121 | 8/5 | |||
68 | 824.242 | 3125/1944 | 45/28 | ||
69 | 836.364 | 81/50 | 44/27 | 13/8 | |
70 | 848.485 | 625/384 | 49/30 | ||
71 | 860.606 | 400/243 | 105/64 | 18/11 | |
72 | 872.727 | 3375/2048 | 81/49 | ||
73 | 884.848 | 5/3 | |||
74 | 896.970 | 2048/1215 | 42/25 | ||
75 | 909.091 | 27/16 | 22/13 | ||
76 | 921.212 | 128/75 | 56/33 | ||
77 | 933.333 | 1250/729 | 12/7 | ||
78 | 945.455 | 216/125 | 140/81 | 26/15 | |
79 | 957.576 | 125/72 | 110/63 | 45/26 | |
80 | 969.697 | 1280/729 | 7/4 | ||
81 | 981.818 | 225/128 | 99/56 | ||
82 | 993.939 | 16/9 | |||
83 | 1006.061 | 3645/2048 | 25/14 | ||
84 | 1018.182 | 9/5 | |||
85 | 1030.303 | 2048/1125 | 49/27 | ||
86 | 1042.424 | 729/400 | 64/35 | 11/6 | |
87 | 1054.545 | 1152/625 | 90/49 | ||
88 | 1066.667 | 50/27 | 13/7 | ||
89 | 1078.788 | 4096/2187 | 28/15 | ||
90 | 1090.909 | 15/8 | |||
91 | 1103.030 | 256/135 | 189/100 | 154/81 | 49/26 |
92 | 1115.152 | 243/128 | 40/21 | ||
93 | 1127.273 | 48/25 | 21/11 | ||
94 | 1139.394 | 625/324 | 27/14 | 25/13 | |
95 | 1151.515 | 243/125 | 35/18 | ||
96 | 1163.636 | 125/64 | 49/25 | ||
97 | 1175.758 | 160/81 | 63/32 | ||
98 | 1187.879 | 2025/1024 | 125/63 | ||
99 | 1200 | 2/1 |