155edo

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155edo uses a step size of 7.741935483871 cents, and is a commatonal EDO. It can be thought of as five sets of 31edo. Divisors are {{#rreplace: 155 31 5 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 7-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 2048/2025 1029/1024 121/120 121/120
2 ? 126/125 100/99 91/90
3 32805/32768 64/63 55/54 55/54
4 81/80 49/48 49/48 49/48
5 128/125 50/49 50/49 40/39
6 20480/19683 525/512 45/44 45/44
7 ? 28/27 28/27 28/27
8 6561/6400 1323/1280 125/121 91/88
9 25/24 25/24 25/24 25/24
10 256/243 256/243 22/21 22/21
11 ? 21/20 21/20 21/20
12 ? 200/189 132/125 55/52
13 135/128 135/128 35/33 35/33
14 16/15 16/15 16/15 16/15
15 32768/30375 343/320 242/225 117/110
16 ? 15/14 15/14 14/13
17 2187/2048 1024/945 88/81 88/81
18 27/25 27/25 27/25 13/12
19 800/729 160/147 160/147 99/91
20 65536/59049 35/32 12/11 12/11
21 ? 192/175 11/10 11/10
22 1125/1024 441/400 400/363 169/154
23 10/9 10/9 10/9 10/9
24 4096/3645 567/512 49/44 49/44
25 ? 28/25 28/25 28/25
26 18225/16384 384/343 55/49 44/39
27 9/8 9/8 9/8 9/8
28 256/225 256/225 154/135 143/126
29 ? 343/300 25/22 25/22
30 ? 8/7 8/7 8/7
31 729/640 147/128 63/55 63/55
32 125/108 125/108 125/108 15/13
33 2560/2187 512/441 140/121 121/104
34 ? 7/6 7/6 7/6
35 59049/51200 400/343 88/75 88/75
36 75/64 75/64 75/64 75/64
37 32/27 32/27 32/27 32/27
38 65536/54675 189/160 189/160 13/11
39 ? 25/21 25/21 25/21
40 1215/1024 1215/1024 105/88 105/88
41 6/5 6/5 6/5 6/5
42 4096/3375 1600/1323 121/100 110/91
43 ? 135/112 40/33 40/33
44 19683/16384 128/105 11/9 11/9
45 243/200 49/40 49/40 39/32
46 100/81 60/49 60/49 16/13
47 8192/6561 315/256 27/22 27/22
48 ? 56/45 56/45 26/21
49 10125/8192 1280/1029 150/121 150/121
50 5/4 5/4 5/4 5/4
51 512/405 512/405 44/35 44/35
52 ? 63/50 63/50 63/50
53 ? 80/63 80/63 33/26
54 81/64 81/64 14/11 14/11
55 32/25 32/25 32/25 32/25
56 25600/19683 1029/800 225/176 169/132
57 ? 9/7 9/7 9/7
58 6561/5120 1323/1024 176/135 156/121
59 125/96 98/75 98/75 13/10
60 320/243 64/49 55/42 55/42
61 ? 21/16 21/16 21/16
62 ? 250/189 33/25 33/25
63 675/512 675/512 160/121 121/91
64 4/3 4/3 4/3 4/3
65 8192/6075 343/256 121/90 117/88
66 ? 75/56 75/56 35/26
67 10935/8192 256/189 66/49 66/49
68 27/20 27/20 27/20 27/20
69 512/375 200/147 200/147 143/105
70 81920/59049 175/128 15/11 15/11
71 ? 48/35 11/8 11/8
72 2187/1600 441/320 242/175 91/66
73 25/18 25/18 25/18 18/13
74 1024/729 1024/729 88/63 88/63
75 ? 7/5 7/5 7/5
76 91125/65536 480/343 176/125 55/39
77 45/32 45/32 45/32 45/32
78 64/45 64/45 64/45 64/45
79 ? 343/240 125/88 78/55
80 ? 10/7 10/7 10/7
81 729/512 729/512 63/44 63/44
82 36/25 36/25 36/25 13/9
83 3200/2187 640/441 175/121 132/91
84 ? 35/24 16/11 16/11
85 59049/40960 256/175 22/15 22/15
86 375/256 147/100 147/100 117/80
87 40/27 40/27 40/27 40/27
88 16384/10935 189/128 49/33 49/33
89 ? 112/75 112/75 52/35
90 6075/4096 512/343 180/121 176/117
91 3/2 3/2 3/2 3/2
92 1024/675 1024/675 121/80 121/80
93 ? 189/125 50/33 50/33
94 98415/65536 32/21 32/21 32/21
95 243/160 49/32 49/32 49/32
96 125/81 75/49 75/49 20/13
97 10240/6561 1575/1024 135/88 121/78
98 ? 14/9 14/9 14/9
99 19683/12800 1600/1029 343/220 264/169
100 25/16 25/16 25/16 25/16
101 128/81 128/81 11/7 11/7
102 ? 63/40 63/40 52/33
103 ? 100/63 100/63 100/63
104 405/256 405/256 35/22 35/22
105 8/5 8/5 8/5 8/5
106 16384/10125 1029/640 121/75 121/75
107 ? 45/28 45/28 21/13
108 6561/4096 512/315 44/27 44/27
109 81/50 49/30 49/30 13/8
110 400/243 80/49 80/49 64/39
111 32768/19683 105/64 18/11 18/11
112 ? 224/135 33/20 33/20
113 3375/2048 1323/800 200/121 91/55
114 5/3 5/3 5/3 5/3
115 2048/1215 1701/1024 121/72 121/72
116 ? 42/25 42/25 42/25
117 54675/32768 320/189 165/98 22/13
118 27/16 27/16 27/16 27/16
119 128/75 128/75 77/45 77/45
120 ? 343/200 75/44 75/44
121 ? 12/7 12/7 12/7
122 2187/1280 441/256 121/70 121/70
123 125/72 125/72 125/72 26/15
124 1280/729 256/147 110/63 110/63
125 ? 7/4 7/4 7/4
126 ? 600/343 44/25 44/25
127 225/128 225/128 135/77 135/77
128 16/9 16/9 16/9 16/9
129 32768/18225 343/192 98/55 39/22
130 ? 25/14 25/14 25/14
131 3645/2048 1024/567 88/49 88/49
132 9/5 9/5 9/5 9/5
133 2048/1125 800/441 363/200 165/91
134 ? 175/96 20/11 20/11
135 59049/32768 64/35 11/6 11/6
136 729/400 147/80 147/80 117/64
137 50/27 50/27 50/27 24/13
138 4096/2187 945/512 81/44 81/44
139 ? 28/15 28/15 13/7
140 30375/16384 640/343 225/121 220/117
141 15/8 15/8 15/8 15/8
142 256/135 256/135 66/35 66/35
143 ? 189/100 125/66 91/48
144 ? 40/21 40/21 40/21
145 243/128 243/128 21/11 21/11
146 48/25 48/25 48/25 25/13
147 12800/6561 2560/1323 242/125 169/88
148 ? 27/14 27/14 27/14
149 19683/10240 1024/525 88/45 88/45
150 125/64 49/25 49/25 39/20
151 160/81 96/49 55/28 55/28
152 65536/32805 63/32 63/32 63/32
153 ? 125/63 99/50 99/50
154 2025/1024 2025/1024 175/88 175/88
155 2/1 2/1 2/1 2/1