181edo

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181edo is the 42nd prime EDO. It has a step size of 6.6298342541436 cents. It is a commatonal EDO. It is consistent and uniquely consistent in the 7-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 15552/15625 225/224 225/224 196/195
2 20000/19683 875/864 100/99 100/99
3 2048/2025 126/125 99/98 91/90
4 81/80 64/63 55/54 55/54
5 78732/78125 49/48 49/48 49/48
6 250/243 250/243 45/44 40/39
7 128/125 128/125 77/75 77/75
8 6561/6400 36/35 33/32 33/32
9 20480/19683 28/27 28/27 28/27
10 25/24 25/24 25/24 25/24
11 648/625 648/625 126/121 26/25
12 62500/59049 256/245 22/21 22/21
13 256/243 21/20 21/20 21/20
14 135/128 135/128 81/77 55/52
15 6561/6250 625/588 35/33 35/33
16 3125/2916 1296/1225 297/280 52/49
17 16/15 16/15 16/15 16/15
18 2187/2048 15/14 15/14 15/14
19 64000/59049 175/162 175/162 14/13
20 625/576 625/576 121/112 121/112
21 27/25 27/25 27/25 13/12
22 ? 49/45 49/45 49/45
23 800/729 35/32 12/11 12/11
24 1125/1024 625/567 484/441 100/91
25 2187/2000 192/175 11/10 11/10
26 65536/59049 54/49 54/49 54/49
27 10/9 10/9 10/9 10/9
28 3456/3125 125/112 49/44 49/44
29 ? 972/875 121/108 39/35
30 4096/3645 28/25 28/25 28/25
31 9/8 9/8 9/8 9/8
32 17496/15625 245/216 112/99 112/99
33 2500/2187 875/768 25/22 25/22
34 256/225 256/225 154/135 91/80
35 729/640 8/7 8/7 8/7
36 ? 147/128 63/55 63/55
37 125/108 125/108 121/105 15/13
38 144/125 144/125 140/121 52/45
39 59049/51200 81/70 81/70 65/56
40 2560/2187 7/6 7/6 7/6
41 75/64 75/64 75/64 75/64
42 729/625 729/625 88/75 88/75
43 15625/13122 147/125 33/28 33/28
44 32/27 32/27 32/27 13/11
45 1215/1024 25/21 25/21 25/21
46 59049/50000 875/729 105/88 105/88
47 3125/2592 448/375 176/147 117/98
48 6/5 6/5 6/5 6/5
49 19683/16384 98/81 98/81 98/81
50 8000/6561 175/144 40/33 40/33
51 625/512 625/512 147/121 91/75
52 243/200 128/105 11/9 11/9
53 ? 49/40 49/40 49/40
54 100/81 100/81 27/22 16/13
55 768/625 625/504 121/98 121/98
56 19683/16000 216/175 99/80 26/21
57 8192/6561 56/45 56/45 56/45
58 5/4 5/4 5/4 5/4
59 3888/3125 1125/896 441/352 49/39
60 25000/19683 784/625 44/35 44/35
61 512/405 63/50 63/50 63/50
62 81/64 80/63 80/63 33/26
63 19683/15625 125/98 14/11 14/11
64 625/486 625/486 225/176 50/39
65 32/25 32/25 32/25 32/25
66 6561/5120 9/7 9/7 9/7
67 25600/19683 35/27 35/27 35/27
68 125/96 125/96 100/77 100/77
69 162/125 162/125 162/125 13/10
70 78125/59049 64/49 55/42 55/42
71 320/243 21/16 21/16 21/16
72 675/512 250/189 250/189 120/91
73 6561/5000 1152/875 33/25 33/25
74 15625/11664 324/245 297/224 65/49
75 4/3 4/3 4/3 4/3
76 10935/8192 75/56 75/56 75/56
77 80000/59049 875/648 121/90 35/26
78 3125/2304 168/125 66/49 66/49
79 27/20 27/20 27/20 27/20
80 ? 49/36 49/36 49/36
81 1000/729 175/128 15/11 15/11
82 512/375 512/375 308/225 125/91
83 2187/1600 48/35 11/8 11/8
84 81920/59049 112/81 112/81 91/66
85 25/18 25/18 25/18 18/13
86 864/625 625/448 168/121 104/75
87 ? 243/175 88/63 39/28
88 1024/729 7/5 7/5 7/5
89 45/32 45/32 45/32 45/32
90 4374/3125 625/441 140/99 140/99
91 3125/2187 882/625 99/70 99/70
92 64/45 64/45 64/45 64/45
93 729/512 10/7 10/7 10/7
94 ? 350/243 63/44 56/39
95 625/432 625/432 121/84 75/52
96 36/25 36/25 36/25 13/9
97 59049/40960 81/56 81/56 81/56
98 3200/2187 35/24 16/11 16/11
99 375/256 375/256 225/154 143/98
100 729/500 256/175 22/15 22/15
101 78125/52488 72/49 72/49 72/49
102 40/27 40/27 40/27 40/27
103 4608/3125 125/84 49/33 49/33
104 59049/40000 1296/875 121/81 52/35
105 15625/10368 112/75 112/75 112/75
106 3/2 3/2 3/2 3/2
107 23328/15625 245/162 245/162 98/65
108 10000/6561 875/576 50/33 50/33
109 1024/675 189/125 189/125 91/60
110 243/160 32/21 32/21 32/21
111 ? 49/32 49/32 49/32
112 125/81 125/81 125/81 20/13
113 192/125 192/125 77/50 77/50
114 19683/12800 54/35 54/35 54/35
115 10240/6561 14/9 14/9 14/9
116 25/16 25/16 25/16 25/16
117 972/625 972/625 189/121 39/25
118 31250/19683 196/125 11/7 11/7
119 128/81 63/40 63/40 52/33
120 405/256 100/63 100/63 100/63
121 19683/12500 625/392 35/22 35/22
122 3125/1944 1792/1125 605/378 78/49
123 8/5 8/5 8/5 8/5
124 6561/4096 45/28 45/28 45/28
125 32000/19683 175/108 121/75 21/13
126 625/384 625/384 125/77 125/77
127 81/50 81/50 44/27 13/8
128 ? 49/30 49/30 49/30
129 400/243 105/64 18/11 18/11
130 1024/625 625/378 242/147 150/91
131 6561/4000 288/175 33/20 33/20
132 32768/19683 81/49 81/49 81/49
133 5/3 5/3 5/3 5/3
134 5184/3125 375/224 147/88 147/88
135 ? 1458/875 121/72 117/70
136 2048/1215 42/25 42/25 42/25
137 27/16 27/16 27/16 22/13
138 26244/15625 245/144 56/33 56/33
139 1250/729 875/512 75/44 75/44
140 128/75 128/75 77/45 77/45
141 2187/1280 12/7 12/7 12/7
142 ? 140/81 140/81 112/65
143 125/72 125/72 121/70 45/26
144 216/125 216/125 210/121 26/15
145 ? 243/140 110/63 110/63
146 1280/729 7/4 7/4 7/4
147 225/128 225/128 135/77 135/77
148 2187/1250 1536/875 44/25 44/25
149 15625/8748 432/245 99/56 99/56
150 16/9 16/9 16/9 16/9
151 3645/2048 25/14 25/14 25/14
152 ? 875/486 216/121 70/39
153 3125/1728 224/125 88/49 88/49
154 9/5 9/5 9/5 9/5
155 59049/32768 49/27 49/27 49/27
156 4000/2187 175/96 20/11 20/11
157 1875/1024 1134/625 441/242 91/50
158 729/400 64/35 11/6 11/6
159 ? 90/49 90/49 90/49
160 50/27 50/27 50/27 24/13
161 1152/625 625/336 224/121 224/121
162 59049/32000 324/175 225/121 13/7
163 4096/2187 28/15 28/15 28/15
164 15/8 15/8 15/8 15/8
165 5832/3125 1225/648 560/297 49/26
166 12500/6561 1176/625 66/35 66/35
167 256/135 189/100 154/81 91/48
168 243/128 40/21 40/21 40/21
169 59049/31250 245/128 21/11 21/11
170 625/324 625/324 121/63 25/13
171 48/25 48/25 48/25 48/25
172 19683/10240 27/14 27/14 27/14
173 12800/6561 35/18 35/18 35/18
174 125/64 125/64 125/64 125/64
175 243/125 243/125 88/45 39/20
176 78125/39366 49/25 49/25 49/25
177 160/81 63/32 63/32 63/32
178 2025/1024 125/63 125/63 125/63
179 19683/10000 1728/875 99/50 99/50
180 15625/7776 448/225 448/225 195/98
181 2/1 2/1 2/1 2/1