249edo

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249edo uses a step size of 4.8192771084337 cents, and is a commatonal and nanotonal EDO. It can be thought of as three sets of 83edo. Divisors are {{#rreplace: 249 83 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 15552/15625 245/243 245/243 169/168
2 20000/19683 225/224 121/120 121/120
3 2048/2025 875/864 100/99 91/90
4 ? 126/125 99/98 99/98
5 3125/3072 64/63 55/54 55/54
6 81/80 81/80 81/80 66/65
7 78732/78125 49/48 49/48 49/48
8 250/243 250/243 250/243 169/165
9 128/125 128/125 45/44 40/39
10 ? 3125/3024 1120/1089 65/63
11 16875/16384 36/35 33/32 33/32
12 6561/6400 28/27 28/27 28/27
13 ? 405/392 363/350 169/162
14 25/24 25/24 25/24 25/24
15 648/625 648/625 648/625 27/26
16 62500/59049 256/245 22/21 22/21
17 256/243 256/243 256/243 104/99
18 16384/15625 21/20 21/20 21/20
19 78125/73728 200/189 200/189 143/135
20 135/128 135/128 81/77 55/52
21 6561/6250 625/588 35/33 35/33
22 3125/2916 1296/1225 297/280 260/243
23 16/15 16/15 16/15 16/15
24 82944/78125 729/686 729/686 180/169
25 64000/59049 15/14 15/14 15/14
26 2187/2048 175/162 175/162 130/121
27 ? 672/625 121/112 14/13
28 625/576 625/576 88/81 13/12
29 27/25 27/25 27/25 27/25
30 ? 49/45 49/45 49/45
31 800/729 243/224 243/224 99/91
32 2048/1875 35/32 12/11 12/11
33 ? 625/567 625/567 169/154
34 1125/1024 192/175 11/10 11/10
35 2187/2000 448/405 400/363 182/165
36 78125/69984 54/49 54/49 54/49
37 10/9 10/9 10/9 10/9
38 3456/3125 567/512 243/220 72/65
39 ? 125/112 49/44 39/35
40 4096/3645 972/875 891/800 91/81
41 ? 28/25 28/25 28/25
42 15625/13824 640/567 275/243 169/150
43 9/8 9/8 9/8 9/8
44 17496/15625 245/216 112/99 112/99
45 2500/2187 2025/1792 198/175 147/130
46 256/225 256/225 25/22 25/22
47 ? 567/500 567/500 162/143
48 9375/8192 8/7 8/7 8/7
49 729/640 280/243 280/243 169/147
50 ? 147/128 63/55 63/55
51 125/108 125/108 125/108 52/45
52 144/125 144/125 144/125 15/13
53 ? 512/441 140/121 65/56
54 2560/2187 81/70 81/70 81/70
55 32768/28125 7/6 7/6 7/6
56 ? 1715/1458 1715/1458 169/144
57 75/64 75/64 75/64 75/64
58 729/625 729/625 350/297 198/169
59 15625/13122 147/125 33/28 33/28
60 32/27 32/27 32/27 13/11
61 18432/15625 189/160 189/160 77/65
62 78125/65536 25/21 25/21 25/21
63 1215/1024 875/729 297/250 108/91
64 59049/50000 448/375 105/88 105/88
65 3125/2592 1458/1225 880/729 65/54
66 6/5 6/5 6/5 6/5
67 93312/78125 98/81 98/81 98/81
68 8000/6561 135/112 121/100 110/91
69 4096/3375 175/144 40/33 40/33
70 ? 756/625 297/245 63/52
71 625/512 128/105 11/9 11/9
72 243/200 243/200 243/200 243/200
73 ? 49/40 49/40 49/40
74 100/81 100/81 100/81 100/81
75 768/625 315/256 27/22 16/13
76 ? 625/504 245/198 26/21
77 8192/6561 216/175 99/80 99/80
78 19683/16000 56/45 56/45 56/45
79 78125/62208 243/196 243/196 169/135
80 5/4 5/4 5/4 5/4
81 3888/3125 1225/972 1120/891 81/65
82 25000/19683 784/625 44/35 44/35
83 512/405 512/405 125/99 91/72
84 98304/78125 63/50 63/50 63/50
85 15625/12288 80/63 80/63 80/63
86 81/64 81/64 81/64 33/26
87 19683/15625 125/98 14/11 14/11
88 625/486 625/486 625/486 104/81
89 32/25 32/25 32/25 32/25
90 ? 1568/1215 1400/1089 216/169
91 25600/19683 9/7 9/7 9/7
92 6561/5120 35/27 35/27 35/27
93 ? 1323/1024 363/280 84/65
94 125/96 125/96 100/77 13/10
95 162/125 162/125 162/125 135/104
96 78125/59049 64/49 55/42 55/42
97 320/243 320/243 320/243 130/99
98 4096/3125 21/16 21/16 21/16
99 ? 250/189 250/189 143/108
100 675/512 675/512 33/25 33/25
101 6561/5000 896/675 160/121 65/49
102 15625/11664 324/245 297/224 121/91
103 4/3 4/3 4/3 4/3
104 20736/15625 980/729 729/550 169/126
105 80000/59049 75/56 75/56 75/56
106 8192/6075 875/648 400/297 182/135
107 ? 168/125 66/49 35/26
108 3125/2304 256/189 110/81 65/48
109 27/20 27/20 27/20 27/20
110 ? 49/36 49/36 49/36
111 1000/729 1000/729 729/539 441/325
112 512/375 175/128 15/11 15/11
113 ? 1701/1250 1225/891 231/169
114 5625/4096 48/35 11/8 11/8
115 2187/1600 112/81 112/81 91/66
116 ? 135/98 135/98 135/98
117 25/18 25/18 25/18 25/18
118 864/625 864/625 243/176 18/13
119 ? 625/448 88/63 39/28
120 1024/729 243/175 243/175 169/121
121 65536/46875 7/5 7/5 7/5
122 78125/55296 343/243 343/243 169/120
123 45/32 45/32 45/32 45/32
124 4374/3125 625/441 140/99 140/99
125 3125/2187 882/625 99/70 99/70
126 64/45 64/45 64/45 64/45
127 ? 486/343 486/343 240/169
128 46875/32768 10/7 10/7 10/7
129 729/512 350/243 350/243 242/169
130 ? 735/512 63/44 56/39
131 625/432 625/432 352/243 13/9
132 36/25 36/25 36/25 36/25
133 ? 196/135 175/121 175/121
134 3200/2187 81/56 81/56 81/56
135 8192/5625 35/24 16/11 16/11
136 ? 2500/1701 1782/1225 189/130
137 375/256 256/175 22/15 22/15
138 729/500 729/500 729/500 495/338
139 78125/52488 72/49 72/49 72/49
140 40/27 40/27 40/27 40/27
141 4608/3125 189/128 81/55 77/52
142 ? 125/84 49/33 49/33
143 6075/4096 1296/875 297/200 135/91
144 59049/40000 112/75 112/75 112/75
145 15625/10368 729/490 729/490 252/169
146 3/2 3/2 3/2 3/2
147 23328/15625 245/162 245/162 169/112
148 10000/6561 675/448 121/80 98/65
149 1024/675 875/576 50/33 50/33
150 ? 189/125 189/125 189/125
151 3125/2048 32/21 32/21 32/21
152 243/160 243/160 243/160 99/65
153 ? 49/32 49/32 49/32
154 125/81 125/81 125/81 125/81
155 192/125 192/125 77/50 20/13
156 ? 2048/1323 560/363 65/42
157 10240/6561 54/35 54/35 54/35
158 19683/12800 14/9 14/9 14/9
159 ? 1215/784 1089/700 169/108
160 25/16 25/16 25/16 25/16
161 972/625 972/625 972/625 81/52
162 31250/19683 196/125 11/7 11/7
163 128/81 128/81 128/81 52/33
164 24576/15625 63/40 63/40 63/40
165 78125/49152 100/63 100/63 100/63
166 405/256 405/256 198/125 144/91
167 19683/12500 625/392 35/22 35/22
168 3125/1944 1944/1225 891/560 130/81
169 8/5 8/5 8/5 8/5
170 ? 392/243 392/243 169/105
171 32000/19683 45/28 45/28 45/28
172 6561/4096 175/108 160/99 160/99
173 ? 1008/625 363/224 21/13
174 625/384 512/315 44/27 13/8
175 81/50 81/50 81/50 81/50
176 ? 49/30 49/30 49/30
177 400/243 400/243 400/243 297/182
178 1024/625 105/64 18/11 18/11
179 ? 625/378 490/297 104/63
180 3375/2048 288/175 33/20 33/20
181 6561/4000 224/135 200/121 91/55
182 78125/46656 81/49 81/49 81/49
183 5/3 5/3 5/3 5/3
184 5184/3125 1225/729 729/440 108/65
185 ? 375/224 121/72 117/70
186 2048/1215 1458/875 500/297 91/54
187 ? 42/25 42/25 42/25
188 15625/9216 320/189 275/162 130/77
189 27/16 27/16 27/16 22/13
190 26244/15625 245/144 56/33 56/33
191 1250/729 1250/729 297/175 169/99
192 128/75 128/75 75/44 75/44
193 ? 1701/1000 1701/1000 243/143
194 28125/16384 12/7 12/7 12/7
195 2187/1280 140/81 140/81 140/81
196 ? 441/256 121/70 112/65
197 125/72 125/72 125/72 26/15
198 216/125 216/125 216/125 45/26
199 ? 256/147 110/63 110/63
200 1280/729 243/140 243/140 243/140
201 16384/9375 7/4 7/4 7/4
202 ? 1000/567 1000/567 143/81
203 225/128 225/128 44/25 44/25
204 2187/1250 2187/1250 175/99 175/99
205 15625/8748 432/245 99/56 99/56
206 16/9 16/9 16/9 16/9
207 27648/15625 567/320 486/275 231/130
208 ? 25/14 25/14 25/14
209 3645/2048 875/486 875/486 162/91
210 ? 224/125 88/49 70/39
211 3125/1728 1024/567 440/243 65/36
212 9/5 9/5 9/5 9/5
213 ? 49/27 49/27 49/27
214 4000/2187 405/224 363/200 165/91
215 2048/1125 175/96 20/11 20/11
216 ? 1134/625 891/490 189/104
217 1875/1024 64/35 11/6 11/6
218 729/400 448/243 448/243 182/99
219 ? 90/49 90/49 90/49
220 50/27 50/27 50/27 50/27
221 1152/625 945/512 81/44 24/13
222 ? 625/336 224/121 13/7
223 4096/2187 324/175 297/160 121/65
224 59049/32000 28/15 28/15 28/15
225 78125/41472 729/392 729/392 169/90
226 15/8 15/8 15/8 15/8
227 5832/3125 1225/648 560/297 243/130
228 12500/6561 1176/625 66/35 49/26
229 256/135 256/135 125/66 91/48
230 ? 189/100 189/100 189/100
231 15625/8192 40/21 40/21 40/21
232 243/128 243/128 243/128 99/52
233 59049/31250 245/128 21/11 21/11
234 625/324 625/324 625/324 52/27
235 48/25 48/25 48/25 25/13
236 ? 784/405 700/363 325/168
237 12800/6561 27/14 27/14 27/14
238 19683/10240 35/18 35/18 35/18
239 ? 3969/2048 1089/560 126/65
240 125/64 125/64 88/45 39/20
241 243/125 243/125 243/125 243/125
242 78125/39366 49/25 49/25 49/25
243 160/81 160/81 160/81 65/33
244 6144/3125 63/32 63/32 63/32
245 ? 125/63 125/63 125/63
246 2025/1024 1728/875 99/50 99/50
247 19683/10000 448/225 175/88 175/88
248 15625/7776 486/245 486/245 325/162
249 2/1 2/1 2/1 2/1