Table of 99edo intervals
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This table of 99edo intervals assumes the 99ef val ⟨99 157 230 278 343 367 405 421 448 481] as tending sharp and 99 patent val ⟨99 157 230 278 342 366 405 421 448 481] as tending flat. Prime harmonics and subharmonics are labeled in bold.
# | Cents | Marks | 5-limit | 7-limit | 13-limit Extension (Tending Sharp) |
13-limit Extension (Tending Flat) |
Higher Limit Extension |
---|---|---|---|---|---|---|---|
0 | 0.00 | P1 | 1/1 | ||||
1 | 12.12 | 2048/2025 | 126/125 | ||||
2 | 24.24 | 81/80 | 64/63 | 56/55, 66/65, 78/77 | 55/54, 66/65, 78/77 | 58/57, 69/68, 70/69, 76/75 | |
3 | 36.36 | 128/125 | 49/48, 50/49 | 40/39, 45/44, 55/54 | 56/55 | 46/45, 51/50, 57/56 | |
4 | 48.48 | 250/243 | 36/35 | 33/32, 40/39, 45/44 | 35/34 | ||
5 | 60.60 | 648/625 | 28/27 | 27/26, 33/32 | 26/25 | 29/28, 30/29 | |
6 | 72.72 | 25/24 | 26/25 | 22/21, 27/26 | 24/23 | ||
7 | 84.84 | m2 | 256/243 | 21/20 | 22/21 | 20/19 | |
8 | 96.96 | 135/128 | " | 18/17, 19/18 | |||
9 | 109.09 | 16/15 | " | 17/16 | |||
10 | 121.21 | 2187/2048 | 15/14 | 14/13 | 29/27 | ||
11 | 133.33 | 27/25 | " | 13/12, 14/13 | |||
12 | 145.45 | 625/576 | 49/45 | 12/11, 13/12 | |||
13 | 157.57 | 800/729 | 35/32 | 11/10, 12/11 | 23/21 | ||
14 | 169.69 | 1125/1024 | 54/49 | 11/10 | 21/19, 32/29 | ||
15 | 181.81 | 10/9 | " | ||||
16 | 193.93 | 4096/3645 | 28/25 | 19/17 | |||
17 | 206.06 | M2 | 9/8 | " | |||
18 | 218.18 | 256/225 | 245/216 | 25/22 | 17/15 | ||
19 | 230.30 | 729/640 | 8/7 | 25/22 | |||
20 | 242.42 | 144/125 | " | 15/13 | 23/20 | ||
21 | 254.54 | 125/108 | 81/70 | 15/13 | |||
22 | 266.66 | 729/625 | 7/6 | ||||
23 | 278.78 | 75/64 | " | 33/28 | 20/17, 27/23, 34/29 | ||
24 | 290.90 | m3 | 32/27 | " | 13/11, 33/28 | 13/11 | |
25 | 303.03 | 1215/1024 | 25/21 | 19/16 | |||
26 | 315.15 | 6/5 | " | ||||
27 | 327.27 | 3125/2592 | 98/81 | 40/33 | 23/19, 29/24 | ||
28 | 339.39 | 243/200 | 128/105 | 11/9, 39/32, 40/33 | 17/14, 28/23 | ||
29 | 351.51 | 625/512 | 49/40, 60/49 | 11/9, 16/13, 27/22, 39/32 | |||
30 | 363.63 | 100/81 | " | 16/13, 26/21, 27/22 | 21/17 | ||
31 | 375.75 | 3888/3125 | 56/45 | 26/21 | 36/29 | ||
32 | 387.87 | 5/4 | " | ||||
33 | 400.00 | 512/405 | 63/50 | 24/19, 29/23 | |||
34 | 412.12 | M3 | 81/64 | 80/63 | 14/11, 33/26 | 33/26 | 19/15 |
35 | 424.24 | 32/25 | " | 14/11 | 23/18 | ||
36 | 436.36 | 625/486 | 9/7 | ||||
37 | 448.48 | 162/125 | 35/27 | 13/10 | |||
38 | 460.60 | 125/96 | 64/49 | 13/10 | 30/23 | ||
39 | 472.72 | 320/243 | 21/16 | 33/25 | 38/29 | ||
40 | 484.84 | 675/512 | 250/189 | 33/25 | |||
41 | 496.96 | P4 | 4/3 | " | |||
42 | 509.09 | 8192/6075 | 75/56 | 51/38 | |||
43 | 521.21 | 27/20 | " | 23/17 | |||
44 | 533.33 | 512/375 | 49/36 | 15/11 | |||
45 | 545.45 | 1000/729 | 48/35 | 11/8, 15/11 | |||
46 | 557.57 | 864/625 | 112/81 | 11/8, 18/13 | 29/21, 40/29 | ||
47 | 569.69 | 25/18 | " | 18/13 | 32/23 | ||
48 | 581.81 | d5 | 1024/729 | 7/5 | |||
49 | 593.93 | 45/32 | " | 24/17, 38/27 | |||
50 | 606.06 | 64/45 | " | 17/12, 27/19 | |||
51 | 618.18 | A4 | 729/512 | 10/7 | |||
52 | 630.30 | 36/25 | " | 13/9 | 23/16 | ||
53 | 642.42 | 625/432 | 81/56 | 16/11 | 29/20, 42/29 | ||
54 | 654.54 | 729/500 | 35/24 | 16/11, 22/15 | |||
55 | 666.66 | 375/256 | 72/49 | 22/15 | |||
56 | 678.78 | 40/27 | " | 34/23 | |||
57 | 690.90 | 6075/4096 | 112/75 | 76/51 | |||
58 | 703.03 | P5 | 3/2 | " | |||
59 | 715.15 | 1024/675 | 189/125 | 50/33 | |||
60 | 727.27 | 243/160 | 32/21 | 50/33 | 29/19 | ||
61 | 739.39 | 192/125 | 49/32 | 20/13 | 23/15 | ||
62 | 751.51 | 125/81 | 54/35 | 20/13 | |||
63 | 763.63 | 972/625 | 14/9 | ||||
64 | 775.75 | 25/16 | " | 11/7 | 36/23 | ||
65 | 787.87 | m6 | 128/81 | 63/40 | 11/7, 52/33 | 52/33 | |
66 | 800.00 | 405/256 | 100/63 | 27/17, 46/29 | |||
67 | 812.12 | 8/5 | " | ||||
68 | 824.24 | 3125/1944 | 45/28 | 21/13 | 29/18 | ||
69 | 836.36 | 81/50 | " | 13/8, 21/13, 44/27 | 34/21 | ||
70 | 848.48 | 625/384 | 49/30, 80/49 | 13/8, 18/11, 44/27, 64/39 | |||
71 | 860.60 | 400/243 | 105/64 | 18/11, 33/20, 64/39 | 28/17, 23/14 | ||
72 | 872.72 | 3375/2048 | 81/49 | 33/20 | 38/23, 48/29 | ||
73 | 884.84 | 5/3 | " | ||||
74 | 896.96 | 2048/1215 | 42/25 | 32/19 | |||
75 | 909.09 | M6 | 27/16 | " | 22/13, 56/33 | 22/13 | |
76 | 921.21 | 128/75 | " | 56/33 | 17/10, 29/17, 46/27 | ||
77 | 933.33 | 1250/729 | 12/7 | ||||
78 | 945.45 | 216/125 | 140/81 | 26/15 | |||
79 | 957.57 | 125/72 | 26/15 | 40/23 | |||
80 | 969.69 | 1280/729 | 7/4 | 44/25 | |||
81 | 981.81 | 225/128 | " | 44/25 | 30/17 | ||
82 | 993.93 | m7 | 16/9 | " | |||
83 | 1006.06 | 3645/2048 | 25/14 | 34/19 | |||
84 | 1018.18 | 9/5 | " | ||||
85 | 1030.30 | 2048/1125 | 49/27 | 20/11 | 29/16 | ||
86 | 1042.42 | 729/400 | 64/35 | 11/6, 20/11 | 42/23 | ||
87 | 1054.54 | 1152/625 | 90/49 | 11/6, 24/13 | |||
88 | 1066.66 | 50/27 | " | 13/7, 24/13 | |||
89 | 1078.78 | 4096/2187 | 28/15 | 13/7 | 54/29 | ||
90 | 1090.90 | 15/8 | " | 32/17 | |||
91 | 1103.03 | 256/135 | 189/100 | 17/9, 36/19 | |||
92 | 1115.15 | M7 | 243/128 | 40/21 | 19/10 | ||
93 | 1127.27 | 48/25 | " | 25/13 | 52/27 | 23/12 | |
94 | 1139.39 | 625/324 | 27/14 | 52/27, 64/33 | 25/13 | 29/15, 56/29 | |
95 | 1151.51 | 243/125 | 35/18 | 39/20, 64/33, 88/45 | |||
96 | 1163.63 | 125/64 | 49/25, 96/49 | 39/20, 88/45, 108/55 | 55/28 | 45/23, 100/51, 112/57 | |
97 | 1175.75 | 160/81 | 63/32 | 55/28, 65/33, 77/39 | 65/33, 77/39, 108/55 | 57/29, 69/35, 75/38, 136/69 | |
98 | 1187.87 | 2025/1024 | 125/63 | ||||
99 | 1200.00 | P8 | 2/1 |