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