186edo

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186edo uses a step size of 6.4516129032258 cents, and is a commatonal EDO. It can be thought of as six sets of 31edo. Divisors are {{#rreplace: 186 93 52 31 6 3 2 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 15625/15552 245/243 121/120 121/120
2 2048/2025 126/125 126/125 91/90
3 20000/19683 686/675 99/98 99/98
4 81/80 64/63 55/54 55/54
5 3125/3072 49/48 49/48 49/48
6 128/125 50/49 50/49 50/49
7 250/243 250/243 45/44 40/39
8 6561/6400 36/35 33/32 33/32
9 16875/16384 28/27 28/27 28/27
10 648/625 405/392 125/121 26/25
11 25/24 25/24 25/24 25/24
12 16384/15625 256/245 22/21 22/21
13 256/243 21/20 21/20 21/20
14 6561/6250 343/324 132/125 132/125
15 135/128 135/128 81/77 55/52
16 78125/73728 1225/1152 35/33 35/33
17 16/15 16/15 16/15 16/15
18 3125/2916 343/320 242/225 125/117
19 2187/2048 15/14 15/14 15/14
20 64000/59049 175/162 121/112 14/13
21 27/25 27/25 27/25 13/12
22 625/576 49/45 49/45 49/45
23 2048/1875 160/147 160/147 99/91
24 800/729 35/32 12/11 12/11
25 2187/2000 192/175 11/10 11/10
26 1125/1024 441/400 441/400 100/91
27 3456/3125 54/49 54/49 54/49
28 10/9 10/9 10/9 10/9
29 78125/69984 972/875 49/44 39/35
30 4096/3645 28/25 28/25 28/25
31 17496/15625 384/343 55/49 55/49
32 9/8 9/8 9/8 9/8
33 15625/13824 245/216 112/99 112/99
34 256/225 256/225 154/135 91/80
35 2500/2187 343/300 25/22 25/22
36 729/640 8/7 8/7 8/7
37 9375/8192 147/128 63/55 63/55
38 144/125 144/125 144/125 52/45
39 125/108 125/108 125/108 15/13
40 32768/28125 81/70 81/70 65/56
41 2560/2187 7/6 7/6 7/6
42 729/625 400/343 88/75 88/75
43 75/64 75/64 75/64 75/64
44 18432/15625 288/245 33/28 33/28
45 32/27 32/27 32/27 13/11
46 15625/13122 343/288 196/165 143/120
47 1215/1024 25/21 25/21 25/21
48 78125/65536 875/729 105/88 105/88
49 6/5 6/5 6/5 6/5
50 3125/2592 98/81 98/81 98/81
51 4096/3375 135/112 135/112 91/75
52 8000/6561 175/144 40/33 40/33
53 243/200 128/105 11/9 11/9
54 625/512 49/40 49/40 49/40
55 768/625 60/49 60/49 60/49
56 100/81 100/81 27/22 16/13
57 19683/16000 216/175 99/80 26/21
58 8192/6561 56/45 56/45 56/45
59 3888/3125 243/196 150/121 150/121
60 5/4 5/4 5/4 5/4
61 78125/62208 1225/972 44/35 44/35
62 512/405 63/50 63/50 63/50
63 19683/15625 343/270 125/99 125/99
64 81/64 80/63 80/63 33/26
65 15625/12288 245/192 14/11 14/11
66 32/25 32/25 32/25 32/25
67 625/486 625/486 225/176 50/39
68 6561/5120 9/7 9/7 9/7
69 25600/19683 35/27 35/27 35/27
70 162/125 162/125 162/125 13/10
71 125/96 98/75 98/75 98/75
72 4096/3125 64/49 55/42 55/42
73 320/243 21/16 21/16 21/16
74 6561/5000 450/343 33/25 33/25
75 675/512 250/189 250/189 120/91
76 20736/15625 324/245 160/121 65/49
77 4/3 4/3 4/3 4/3
78 15625/11664 343/256 121/90 121/90
79 8192/6075 75/56 75/56 75/56
80 80000/59049 875/648 66/49 35/26
81 27/20 27/20 27/20 27/20
82 3125/2304 49/36 49/36 49/36
83 512/375 200/147 200/147 200/147
84 1000/729 175/128 15/11 15/11
85 2187/1600 48/35 11/8 11/8
86 5625/4096 112/81 112/81 91/66
87 864/625 135/98 135/98 104/75
88 25/18 25/18 25/18 18/13
89 65536/46875 243/175 88/63 39/28
90 1024/729 7/5 7/5 7/5
91 4374/3125 343/243 176/125 169/120
92 45/32 45/32 45/32 45/32
93 78125/55296 1225/864 99/70 99/70
94 64/45 64/45 64/45 64/45
95 3125/2187 343/240 125/88 125/88
96 729/512 10/7 10/7 10/7
97 46875/32768 350/243 63/44 56/39
98 36/25 36/25 36/25 13/9
99 625/432 196/135 196/135 75/52
100 8192/5625 81/56 81/56 81/56
101 3200/2187 35/24 16/11 16/11
102 729/500 256/175 22/15 22/15
103 375/256 147/100 147/100 147/100
104 4608/3125 72/49 72/49 72/49
105 40/27 40/27 40/27 40/27
106 59049/40000 1296/875 49/33 49/33
107 6075/4096 112/75 112/75 112/75
108 23328/15625 512/343 180/121 175/117
109 3/2 3/2 3/2 3/2
110 15625/10368 245/162 121/80 98/65
111 1024/675 189/125 189/125 91/60
112 10000/6561 343/225 50/33 50/33
113 243/160 32/21 32/21 32/21
114 3125/2048 49/32 49/32 49/32
115 192/125 75/49 75/49 75/49
116 125/81 125/81 125/81 20/13
117 19683/12800 54/35 54/35 54/35
118 10240/6561 14/9 14/9 14/9
119 972/625 972/625 343/220 39/25
120 25/16 25/16 25/16 25/16
121 24576/15625 384/245 11/7 11/7
122 128/81 63/40 63/40 52/33
123 19683/12500 343/216 198/125 143/90
124 405/256 100/63 100/63 100/63
125 78125/49152 1225/768 35/22 35/22
126 8/5 8/5 8/5 8/5
127 3125/1944 392/243 121/75 121/75
128 6561/4096 45/28 45/28 45/28
129 32000/19683 175/108 160/99 21/13
130 81/50 81/50 44/27 13/8
131 625/384 49/30 49/30 49/30
132 1024/625 80/49 80/49 80/49
133 400/243 105/64 18/11 18/11
134 6561/4000 288/175 33/20 33/20
135 3375/2048 224/135 224/135 91/55
136 5184/3125 81/49 81/49 81

/49

137 5/3 5/3 5/3 5/3
138 78125/46656 1225/729 121/72 117/70
139 2048/1215 42/25 42/25 42/25
140 26244/15625 576/343 165/98 165/98
141 27/16 27/16 27/16 22/13
142 15625/9216 245/144 56/33 56/33
143 128/75 128/75 77/45 77/45
144 1250/729 343/200 75/44 75/44
145 2187/1280 12/7 12/7 12/7
146 28125/16384 140/81 121/70 112/65
147 216/125 216/125 216/125 26/15
148 125/72 125/72 125/72 45/26
149 16384/9375 243/140 110/63 110/63
150 1280/729 7/4 7/4 7/4
151 2187/1250 600/343 44/25 44/25
152 225/128 225/128 135/77 135/77
153 27648/15625 432/245 99/56 99/56
154 16/9 16/9 16/9 16/9
155 15625/8748 343/192 98/55 98/55
156 3645/2048 25/14 25/14 25/14
157 ? 875/486 88/49 70/39
158 9/5 9/5 9/5 9/5
159 3125/1728 49/27 49/27 49/27
160 2048/1125 405/224 405/224 91/50
161 4000/2187 175/96 20/11 20/11
162 729/400 64/35 11/6 11/6
163 1875/1024 147/80 147/80 147/80
164 1152/625 90/49 90/49 90/49
165 50/27 50/27 50/27 24/13
166 59049/32000 324/175 224/121 13/7
167 4096/2187 28/15 28/15 28/15
168 5832/3125 640/343 225/121 169/90
169 15/8 15/8 15/8 15/8
170 78125/41472 1225/648 66/35 49/26
171 256/135 189/100 154/81 91/48
172 12500/6561 343/180 125/66 125/66
173 243/128 40/21 40/21 40/21
174 15625/8192 245/128 21/11 21/11
175 48/25 48/25 48/25 48/25
176 625/324 625/324 242/125 25/13
177 19683/10240 27/14 27/14 27/14
178 12800/6561 35/18 35/18 35/18
179 243/125 243/125 88/45 39/20
180 125/64 49/25 49/25 49/25
181 6144/3125 96/49 55/28 55/28
182 160/81 63/32 63/32 63/32
183 19683/10000 675/343 99/50 99/50
184 2025/1024 125/63 125/63 125/63
185 31104/15625 486/245 175/88 175/88
186 2/1 2/1 2/1 2/1