157edo

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157edo is the 37th prime EDO. It has a step size of 7.6433121019108 cents. It is a commatonal EDO. It is consistent and uniquely consistent in the 9-odd-limit. It is also sensipent.

Step Five limit Seven limit Eleven limit Thirteen limit
1 2048/2025 126/125 121/120 121/120
2 32805/32768 225/224 99/98 91/90
3 81/80 64/63 64/63 64/63
4 128/125 128/125 55/54 55/54
5 ? 49/48 49/48 49/48
6 3125/3072 36/35 36/35 36/35
7 250/243 250/243 33/32 33/32
8 16384/15625 28/27 28/27 26/25
9 16875/16384 256/245 80/77 27/26
10 25/24 25/24 22/21 22/21
11 256/243 21/20 21/20 21/20
12 ? 1296/1225 81/77 81/77
13 135/128 135/128 128/121 52/49
14 16/15 16/15 16/15 16/15
15 32768/30375 625/588 77/72 77/72
16 2187/2048 15/14 15/14 15/14
17 27/25 27/25 27/25 14/13
18 2048/1875 175/162 88/81 13/12
19 ? 49/45 49/45 49/45
20 625/576 192/175 12/11 12/11
21 800/729 35/32 11/10 11/10
22 65536/59049 54/49 54/49 54/49
23 1125/1024 625/567 243/220 72/65
24 10/9 10/9 10/9 10/9
25 4096/3645 28/25 28/25 28/25
26 18225/16384 125/112 55/49 55/49
27 9/8 9/8 9/8 9/8
28 256/225 256/225 112/99 112/99
29 ? 245/216 154/135 91/80
30 729/640 8/7 8/7 8/7
31 144/125 144/125 55/48 55/48
32 32768/28125 147/128 147/128 52/45
33 9375/8192 81/70 81/70 15/13
34 125/108 125/108 64/55 64/55
35 2560/2187 7/6 7/6 7/6
36 ? 147/125 90/77 90/77
37 75/64 75/64 33/28 33/28
38 32/27 32/27 32/27 13/11
39 65536/54675 448/375 196/165 108/91
40 1215/1024 25/21 25/21 25/21
41 6/5 6/5 6/5 6/5
42 4096/3375 756/625 77/64 65/54
43 19683/16384 98/81 98/81 91/75
44 243/200 128/105 40/33 40/33
45 768/625 175/144 11/9 11/9
46 ? 49/40 49/40 49/40
47 625/512 216/175 27/22 16/13
48 100/81 100/81 99/80 26/21
49 8192/6561 56/45 56/45 56/45
50 10125/8192 625/504 96/77 81/65
51 5/4 5/4 5/4 5/4
52 512/405 63/50 63/50 49/39
53 ? 1125/896 308/243 91/72
54 81/64 80/63 80/63 33/26
55 32/25 32/25 14/11 14/11
56 65536/50625 125/98 77/60 77/60
57 6561/5120 9/7 9/7 9/7
58 162/125 162/125 128/99 84/65
59 4096/3125 35/27 35/27 13/10
60 84375/65536 64/49 64/49 64/49
61 125/96 125/96 55/42 55/42
62 320/243 21/16 21/16 21/16
63 ? 324/245 324/245 120/91
64 675/512 250/189 160/121 65/49
65 4/3 4/3 4/3 4/3
66 8192/6075 168/125 121/90 121/90
67 10935/8192 75/56 66/49 66/49
68 27/20 27/20 27/20 27/20
69 512/375 512/375 110/81 65/48
70 ? 49/36 49/36 49/36
71 2187/1600 48/35 15/11 15/11
72 864/625 175/128 11/8 11/8
73 65536/46875 112/81 112/81 91/66
74 5625/4096 243/175 243/175 18/13
75 25/18 25/18 25/18 25/18
76 1024/729 7/5 7/5 7/5
77 91125/65536 625/448 108/77 108/77
78 45/32 45/32 45/32 45/32
79 64/45 64/45 64/45 64/45
80 ? 625/441 77/54 77/54
81 729/512 10/7 10/7 10/7
82 36/25 36/25 36/25 36/25
83 8192/5625 350/243 231/160 13/9
84 46875/32768 81/56 81/56 75/52
85 625/432 256/175 16/11 16/11
86 3200/2187 35/24 22/15 22/15
87 ? 72/49 72/49 72/49
88 375/256 375/256 81/55 81/55
89 40/27 40/27 40/27 40/27
90 16384/10935 112/75 49/33 49/33
91 6075/4096 125/84 125/84 125/84
92 3/2 3/2 3/2 3/2
93 1024/675 189/125 121/80 98/65
94 98415/65536 245/162 245/162 91/60
95 243/160 32/21 32/21 32/21
96 192/125 192/125 55/36 55/36
97 ? 49/32 49/32 49/32
98 3125/2048 54/35 54/35 20/13
99 125/81 125/81 99/64 65/42
100 10240/6561 14/9 14/9 14/9
101 50625/32768 196/125 120/77 81/52
102 25/16 25/16 11/7 11/7
103 128/81 63/40 63/40 52/33
104 ? 1792/1125 243/154 143/90
105 405/256 100/63 100/63 78/49
106 8/5 8/5 8/5 8/5
107 16384/10125 625/392 77/48 77/48
108 6561/4096 45/28 45/28 45/28
109 81/50 81/50 81/50 21/13
110 1024/625 175/108 44/27 13/8
111 ? 49/30 49/30 49/30
112 625/384 288/175 18/11 18/11
113 400/243 105/64 33/20 33/20
114 32768/19683 81/49 81/49 81/49
115 3375/2048 625/378 128/77 108/65
116 5/3 5/3 5/3 5/3
117 2048/1215 42/25 42/25 42/25
118 54675/32768 375/224 165/98 91/54
119 27/16 27/16 27/16 22/13
120 128/75 128/75 56/33 56/33
121 ? 245/144 77/45 77/45
122 2187/1280 12/7 12/7 12/7
123 216/125 216/125 55/32 55/32
124 16384/9375 140/81 140/81 26/15
125 28125/16384 243/140 243/140 45/26
126 125/72 125/72 96/55 96/55
127 1280/729 7/4 7/4 7/4
128 ? 432/245 135/77 135/77
129 225/128 225/128 99/56 99/56
130 16/9 16/9 16/9 16/9
131 32768/18225 224/125 98/55 98/55
132 3645/2048 25/14 25/14 25/14
133 9/5 9/5 9/5 9/5
134 2048/1125 875/486 231/128 65/36
135 59049/32768 49/27 49/27 49/27
136 729/400 64/35 20/11 20/11
137 1152/625 175/96 11/6 11/6
138 ? 90/49 90/49 90/49
139 1875/1024 324/175 81/44 24/13
140 50/27 50/27 50/27 13/7
141 4096/2187 28/15 28/15 28/15
142 30375/16384 625/336 144/77 144/77
143 15/8 15/8 15/8 15/8
144 256/135 189/100 121/64 49/26
145 ? 1225/648 154/81 91/48
146 243/128 40/21 40/21 40/21
147 48/25 48/25 21/11 21/11
148 32768/16875 245/128 77/40 52/27
149 15625/8192 27/14 27/14 25/13
150 243/125 243/125 64/33 64/33
151 6144/3125 35/18 35/18 35/18
152 ? 49/25 49/25 49/25
153 125/64 125/64 55/28 55/28
154 160/81 63/32 63/32 63/32
155 65536/32805 448/225 196/99 143/72
156 2025/1024 125/63 125/63 125/63
157 2/1 2/1 2/1 2/1