237edo

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237edo uses a step size of 5.0632911392405 cents, and is a commatonal and nanotonal EDO. It can be thought of as three sets of 79edo. Divisors are {{#rreplace: 237 79 3 1|/(\d+)(\D+)?/|\1\2}}. It is not consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 20000/19683 1029/1024 441/440 196/195
2 15552/15625 225/224 100/99 100/99
3 2048/2025 2048/2025 121/120 91/90
4 3125/3072 126/125 126/125 126/125
5 ? 64/63 55/54 55/54
6 81/80 49/48 49/48 49/48
7 250/243 50/49 50/49 50/49
8 78732/78125 525/512 45/44 40/39
9 128/125 128/125 77/75 77/75
10 16875/16384 1029/1000 125/121 65/63
11 ? 28/27 28/27 28/27
12 6561/6400 1323/1280 343/330 336/325
13 25/24 25/24 25/24 25/24
14 62500/59049 2500/2401 126/121 26/25
15 648/625 392/375 392/375 392/375
16 256/243 256/243 22/21 22/21
17 78125/73728 21/20 21/20 21/20
18 16384/15625 200/189 200/189 200/189
19 135/128 135/128 35/33 35/33
20 3125/2916 625/588 132/125 132/125
21 6561/6250 1323/1250 363/343 52/49
22 16/15 16/15 16/15 16/15
23 64000/59049 343/320 294/275 294/275
24 82944/78125 15/14 15/14 15/14
25 2187/2048 2187/2048 189/176 14/13
26 625/576 625/576 250/231 250/231
27 ? 1024/945 88/81 13/12
28 27/25 27/25 27/25 27/25
29 800/729 160/147 160/147 160/147
30 ? 35/32 12/11 12/11
31 2048/1875 375/343 375/343 273/250
32 1125/1024 686/625 400/363 100/91
33 78125/69984 192/175 11/10 11/10
34 2187/2000 441/400 441/400 325/294
35 10/9 10/9 10/9 10/9
36 ? 567/512 49/44 49/44
37 3456/3125 125/112 125/112 125/112
38 4096/3645 4096/3645 121/108 39/35
39 15625/13824 28/25 28/25 28/25
40 ? 384/343 55/49 55/49
41 9/8 9/8 9/8 9/8
42 2500/2187 500/441 500/441 147/130
43 17496/15625 875/768 25/22 25/22
44 256/225 256/225 154/135 91/80
45 9375/8192 343/300 343/300 343/300
46 ? 8/7 8/7 8/7
47 729/640 147/128 63/55 63/55
48 125/108 125/108 125/108 125/108
49 ? 4725/4096 121/105 15/13
50 144/125 144/125 144/125 144/125
51 2560/2187 512/441 220/189 65/56
52 ? 7/6 7/6 7/6
53 32768/28125 400/343 400/343 378/325
54 75/64 75/64 75/64 75/64
55 15625/13122 1024/875 88/75 88/75
56 729/625 147/125 147/125 147/125
57 32/27 32/27 32/27 13/11
58 78125/65536 189/160 189/160 77/65
59 18432/15625 25/21 25/21 25/21
60 1215/1024 1215/1024 105/88 105/88
61 3125/2592 448/375 297/250 297/250
62 59049/50000 2048/1701 176/147 65/54
63 6/5 6/5 6/5 6/5
64 8000/6561 1600/1323 825/686 392/325
65 93312/78125 135/112 40/33 40/33
66 4096/3375 1250/1029 121/100 63/52
67 625/512 625/512 375/308 375/308
68 ? 128/105 11/9 11/9
69 243/200 49/40 49/40 49/40
70 100/81 60/49 60/49 60/49
71 ? 315/256 27/22 16/13
72 768/625 625/504 154/125 154/125
73 8192/6561 3087/2500 121/98 26/21
74 78125/62208 56/45 56/45 56/45
75 19683/16000 1280/1029 343/275 343/275
76 5/4 5/4 5/4 5/4
77 25000/19683 3000/2401 441/352 49/39
78 3888/3125 784/625 125/99 125/99
79 512/405 512/405 44/35 44/35
80 15625/12288 63/50 63/50 63/50
81 98304/78125 80/63 80/63 80/63
82 81/64 81/64 14/11 14/11
83 625/486 125/98 125/98 125/98
84 19683/15625 2401/1875 225/176 50/39
85 32/25 32/25 32/25 32/25
86 25600/19683 1029/800 440/343 325/252
87 ? 9/7 9/7 9/7
88 6561/5120 1323/1024 343/264 84/65
89 125/96 125/96 100/77 100/77
90 78125/59049 2048/1575 176/135 13/10
91 162/125 98/75 98/75 98/75
92 320/243 64/49 55/42 55/42
93 ? 21/16 21/16 21/16
94 4096/3125 250/189 250/189 250/189
95 675/512 675/512 160/121 120/91
96 15625/11664 896/675 33/25 33/25
97 6561/5000 1323/1000 1125/847 65/49
98 4/3 4/3 4/3 4/3
99 80000/59049 343/256 147/110 147/110
100 20736/15625 75/56 75/56 75/56
101 8192/6075 8192/6075 121/90 35/26
102 3125/2304 168/125 168/125 168/125
103 ? 256/189 66/49 65/48
104 27/20 27/20 27/20 27/20
105 1000/729 200/147 200/147 200/147
106 ? 175/128 15/11 15/11
107 512/375 512/375 308/225 196/143
108 5625/4096 343/250 343/250 125/91
109 ? 48/35 11/8 11/8
110 2187/1600 441/320 378/275 378/275
111 25/18 25/18 25/18 25/18
112 ? 2835/2048 168/121 18/13
113 864/625 625/448 625/448 625/448
114 1024/729 1024/729 88/63 39/28
115 78125/55296 7/5 7/5 7/5
116 65536/46875 480/343 275/196 275/196
117 45/32 45/32 45/32 45/32
118 3125/2187 625/441 176/125 147/104
119 4374/3125 882/625 125/88 125/88
120 64/45 64/45 64/45 64/45
121 46875/32768 343/240 343/240 343/240
122 ? 10/7 10/7 10/7
123 729/512 729/512 63/44 56/39
124 625/432 625/432 539/375 539/375
125 ? 4096/2835 121/84 13/9
126 36/25 36/25 36/25 36/25
127 3200/2187 640/441 275/189 275/189
128 ? 35/24 16/11 16/11
129 8192/5625 500/343 363/250 182/125
130 375/256 375/256 225/154 143/98
131 78125/52488 256/175 22/15 22/15
132 729/500 147/100 147/100 147/100
133 40/27 40/27 40/27 40/27
134 ? 189/128 49/33 49/33
135 4608/3125 125/84 125/84 125/84
136 6075/4096 6075/4096 121/81 52/35
137 15625/10368 112/75 112/75 112/75
138 59049/40000 512/343 220/147 220/147
139 3/2 3/2 3/2 3/2
140 10000/6561 2000/1323 1323/880 98/65
141 23328/15625 675/448 50/33 50/33
142 1024/675 1024/675 121/80 91/60
143 3125/2048 189/125 189/125 189/125
144 ? 32/21 32/21 32/21
145 243/160 49/32 49/32 49/32
146 125/81 75/49 75/49 75/49
147 ? 1575/1024 135/88 20/13
148 192/125 192/125 77/50 77/50
149 10240/6561 2048/1323 375/242 65/42
150 ? 14/9 14/9 14/9
151 19683/12800 1600/1029 343/220 343/220
152 25/16 25/16 25/16 25/16
153 31250/19683 3750/2401 189/121 39/25
154 972/625 196/125 196/125 196/125
155 128/81 128/81 11/7 11/7
156 78125/49152 63/40 63/40 63/40
157 24576/15625 100/63 100/63 100/63
158 405/256 405/256 35/22 35/22
159 3125/1944 625/392 198/125 198/125
160 19683/12500 2401/1500 605/378 78/49
161 8/5 8/5 8/5 8/5
162 32000/19683 1029/640 441/275 441/275
163 ? 45/28 45/28 45/28
164 6561/4096 5000/3087 121/75 21/13
165 625/384 625/384 125/77 125/77
166 ? 512/315 44/27 13/8
167 81/50 49/30 49/30 49/30
168 400/243 80/49 80/49 80/49
169 ? 105/64 18/11 18/11
170 1024/625 625/378 616/375 343/208
171 3375/2048 1029/625 200/121 104/63
172 78125/46656 224/135 33/20 33/20
173 6561/4000 1323/800 1323/800 325/196
174 5/3 5/3 5/3 5/3
175 ? 1701/1024 147/88 108/65
176 5184/3125 375/224 375/224 375/224
177 2048/1215 2048/1215 121/72 91/54
178 15625/9216 42/25 42/25 42/25
179 ? 320/189 165/98 130/77
180 27/16 27/16 27/16 22/13
181 1250/729 250/147 250/147 250/147
182 26244/15625 875/512 75/44 75/44
183 128/75 128/75 77/45 77/45
184 28125/16384 343/200 343/200 325/189
185 ? 12/7 12/7 12/7
186 2187/1280 441/256 189/110 112/65
187 125/72 125/72 125/72 125/72
188 ? 8192/4725 121/70 26/15
189 216/125 216/125 216/125 216/125
190 1280/729 256/147 110/63 110/63
191 ? 7/4 7/4 7/4
192 16384/9375 600/343 600/343 343/195
193 225/128 225/128 135/77 135/77
194 15625/8748 1536/875 44/25 44/25
195 2187/1250 441/250 441/250 260/147
196 16/9 16/9 16/9 16/9
197 ? 343/192 98/55 98/55
198 27648/15625 25/14 25/14 25/14
199 3645/2048 3645/2048 216/121 70/39
200 3125/1728 224/125 224/125 224/125
201 ? 1024/567 88/49 65/36
202 9/5 9/5 9/5 9/5
203 4000/2187 800/441 800/441 588/325
204 ? 175/96 20/11 20/11
205 2048/1125 625/343 363/200 91/50
206 1875/1024 686/375 686/375 500/273
207 ? 64/35 11/6 11/6
208 729/400 147/80 147/80 147/80
209 50/27 50/27 50/27 50/27
210 ? 945/512 81/44 24/13
211 1152/625 625/336 231/125 231/125
212 4096/2187 4096/2187 225/121 13/7
213 78125/41472 28/15 28/15 28/15
214 59049/32000 640/343 275/147 275/147
215 15/8 15/8 15/8 15/8
216 12500/6561 2500/1323 686/363 49/26
217 5832/3125 1176/625 125/66 125/66
218 256/135 256/135 66/35 66/35
219 15625/8192 189/100 189/100 189/100
220 ? 40/21 40/21 40/21
221 243/128 243/128 21/11 21/11
222 625/324 375/196 375/196 375/196
223 59049/31250 2401/1250 121/63 25/13
224 48/25 48/25 48/25 48/25
225 12800/6561 2560/1323 660/343 325/168
226 ? 27/14 27/14 27/14
227 19683/10240 2000/1029 242/125 126/65
228 125/64 125/64 125/64 125/64
229 78125/39366 1024/525 88/45 39/20
230 243/125 49/25 49/25 49/25
231 160/81 96/49 55/28 55/28
232 ? 63/32 63/32 63/32
233 6144/3125 125/63 125/63 125/63
234 2025/1024 2025/1024 175/88 143/72
235 15625/7776 448/225 99/50 99/50
236 19683/10000 2048/1029 880/441 195/98
237 2/1 2/1 2/1 2/1