263edo

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263edo is the 56th prime EDO. It has a step size of 4.5627376425856 cents. It is a commatonal and nanotonal EDO. It is consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 1029/1024 385/384 196/195
2 32805/32768 126/125 126/125 126/125
3 2048/2025 225/224 121/120 91/90
4 ? 686/675 100/99 100/99
5 81/80 81/80 81/80 78/77
6 20000/19683 64/63 56/55 56/55
7 ? 49/48 49/48 49/48
8 128/125 128/125 128/125 128/125
9 ? 50/49 45/44 45/44
10 6561/6400 525/512 525/512 40/39
11 250/243 36/35 36/35 36/35
12 ? 1323/1280 33/32 33/32
13 648/625 28/27 28/27 28/27
14 20480/19683 405/392 363/350 26/25
15 ? 392/375 80/77 27/26
16 25/24 25/24 25/24 25/24
17 ? 256/245 256/245 117/112
18 6561/6250 21/20 21/20 21/20
19 256/243 256/243 256/243 150/143
20 ? 343/324 81/77 81/77
21 135/128 135/128 128/121 96/91
22 62500/59049 200/189 35/33 35/33
23 ? 1225/1152 297/280 52/49
24 16/15 16/15 16/15 16/15
25 ? 343/320 77/72 77/72
26 2187/2048 672/625 576/539 125/117
27 3125/2916 15/14 15/14 15/14
28 ? 2205/2048 275/256 14/13
29 27/25 27/25 27/25 27/25
30 64000/59049 1024/945 121/112 13/12
31 ? 49/45 49/45 49/45
32 625/576 243/224 243/224 243/224
33 ? 160/147 12/11 12/11
34 2187/2000 35/32 35/32 35/32
35 800/729 192/175 192/175 169/154
36 ? 375/343 11/10 11/10
37 1125/1024 448/405 400/363 100/91
38 65536/59049 54/49 54/49 54/49
39 ? 567/512 256/231 72/65
40 10/9 10/9 10/9 10/9
41 ? 1715/1536 891/800 39/35
42 17496/15625 28/25 28/25 28/25
43 4096/3645 125/112 121/108 91/81
44 ? 384/343 384/343 169/150
45 9/8 9/8 9/8 9/8
46 ? 640/567 112/99 44/39
47 ? 245/216 198/175 198/175
48 256/225 256/225 256/225 91/80
49 ? 343/300 25/22 25/22
50 729/640 729/640 729/640 143/125
51 2500/2187 8/7 8/7 8/7
52 ? 147/128 55/48 55/48
53 144/125 144/125 144/125 144/125
54 ? 225/196 121/105 52/45
55 59049/51200 784/675 140/121 15/13
56 125/108 81/70 81/70 81/70
57 ? 512/441 64/55 64/55
58 729/625 7/6 7/6 7/6
59 2560/2187 1024/875 1024/875 117/100
60 ? 147/125 88/75 88/75
61 75/64 75/64 75/64 75/64
62 ? 288/245 288/245 245/208
63 59049/50000 189/160 33/28 13/11
64 32/27 32/27 32/27 32/27
65 ? 343/288 297/250 200/169
66 1215/1024 448/375 144/121 108/91
67 15625/13122 25/21 25/21 25/21
68 ? 1225/1024 1225/1024 117/98
69 6/5 6/5 6/5 6/5
70 ? 1875/1568 77/64 65/54
71 19683/16384 98/81 98/81 98/81
72 3125/2592 135/112 121/100 91/75
73 ? 1372/1125 40/33 40/33
74 243/200 175/144 175/144 175/144
75 8000/6561 128/105 128/105 39/32
76 ? 49/40 11/9 11/9
77 625/512 625/512 625/512 175/143
78 ? 60/49 27/22 27/22
79 19683/16000 315/256 275/224 16/13
80 100/81 100/81 100/81 100/81
81 ? 3375/2744 99/80 26/21
82 3888/3125 56/45 56/45 56/45
83 8192/6561 243/196 243/196 156/125
84 ? 784/625 96/77 81/65
85 5/4 5/4 5/4 5/4
86 ? 1536/1225 1120/891 49/39
87 19683/15625 63/50 44/35 44/35
88 512/405 512/405 121/96 91/72
89 ? 343/270 125/99 125/99
90 81/64 81/64 81/64 81/64
91 25000/19683 80/63 14/11 14/11
92 ? 245/192 245/192 245/192
93 32/25 32/25 32/25 32/25
94 ? 125/98 77/60 77/60
95 6561/5120 1568/1215 1400/1089 50/39
96 625/486 9/7 9/7 9/7
97 ? 1323/1024 128/99 84/65
98 162/125 35/27 35/27 35/27
99 25600/19683 2025/1568 363/280 13/10
100 ? 98/75 98/75 98/75
101 125/96 125/96 125/96 125/96
102 ? 64/49 64/49 64/49
103 6561/5000 21/16 21/16 21/16
104 320/243 320/243 320/243 154/117
105 ? 450/343 33/25 33/25
106 675/512 675/512 160/121 120/91
107 78125/59049 250/189 175/132 175/132
108 ? 1701/1280 297/224 65/49
109 4/3 4/3 4/3 4/3
110 ? 343/256 343/256 225/169
111 10935/8192 168/125 162/121 162/121
112 8192/6075 75/56 75/56 75/56
113 ? 2304/1715 400/297 35/26
114 27/20 27/20 27/20 27/20
115 80000/59049 256/189 224/165 65/48
116 ? 49/36 49/36 49/36
117 512/375 512/375 512/375 143/105
118 ? 200/147 15/11 15/11
119 2187/1600 175/128 175/128 160/117
120 1000/729 48/35 48/35 48/35
121 ? 441/320 11/8 11/8
122 864/625 112/81 112/81 112/81
123 81920/59049 135/98 135/98 104/75
124 ? 1568/1125 168/121 18/13
125 25/18 25/18 25/18 25/18
126 ? 1024/735 384/275 39/28
127 4374/3125 7/5 7/5 7/5
128 1024/729 625/448 539/384 200/143
129 ? 343/243 108/77 108/77
130 45/32 45/32 45/32 45/32
131 ? 800/567 140/99 55/39
132 ? 567/400 99/70 78/55
133 64/45 64/45 64/45 64/45
134 ? 343/240 77/54 77/54
135 729/512 729/512 729/512 143/100
136 3125/2187 10/7 10/7 10/7
137 ? 735/512 275/192 56/39
138 36/25 36/25 36/25 36/25
139 ? 1125/784 121/84 13/9
140 59049/40960 196/135 175/121 75/52
141 625/432 81/56 81/56 81/56
142 ? 640/441 16/11 16/11
143 729/500 35/24 35/24 35/24
144 3200/2187 256/175 256/175 117/80
145 ? 147/100 22/15 22/15
146 375/256 375/256 375/256 210/143
147 ? 72/49 72/49 72/49
148 59049/40000 189/128 165/112 65/44
149 40/27 40/27 40/27 40/27
150 ? 1715/1152 297/200 52/35
151 6075/4096 112/75 112/75 112/75
152 16384/10935 125/84 121/81 121/81
153 ? 512/343 512/343 175/117
154 3/2 3/2 3/2 3/2
155 ? 2560/1701 385/256 98/65
156 98415/65536 189/125 189/125 169/112
157 1024/675 675/448 121/80 91/60
158 ? 343/225 50/33 50/33
159 243/160 243/160 243/160 117/77
160 10000/6561 32/21 32/21 32/21
161 ? 49/32 49/32 49/32
162 192/125 192/125 192/125 169/110
163 ? 75/49 75/49 75/49
164 19683/12800 1575/1024 560/363 20/13
165 125/81 54/35 54/35 54/35
166 ? 2048/1323 99/64 65/42
167 972/625 14/9 14/9 14/9
168 10240/6561 1215/784 1089/700 39/25
169 ? 196/125 120/77 81/52
170 25/16 25/16 25/16 25/16
171 ? 384/245 384/245 245/156
172 19683/12500 63/40 11/7 11/7
173 128/81 128/81 128/81 128/81
174 ? 343/216 198/125 198/125
175 405/256 405/256 192/121 143/90
176 31250/19683 100/63 35/22 35/22
177 ? 1225/768 891/560 78/49
178 8/5 8/5 8/5 8/5
179 ? 625/392 77/48 77/48
180 6561/4096 392/243 392/243 125/78
181 3125/1944 45/28 45/28 45/28
182 ? 5488/3375 160/99 21/13
183 81/50 81/50 81/50 81/50
184 32000/19683 512/315 363/224 13/8
185 ? 49/30 44/27 44/27
186 625/384 625/384 625/384 275/169
187 ? 80/49 18/11 18/11
188 6561/4000 105/64 105/64 64/39
189 400/243 288/175 288/175 288/175
190 ? 1125/686 33/20 33/20
191 3375/2048 224/135 200/121 150/91
192 32768/19683 81/49 81/49 81/49
193 ? 1701/1024 128/77 108/65
194 5/3 5/3 5/3 5/3
195 ? 1715/1024 1715/1024 117/70
196 26244/15625 42/25 42/25 42/25
197 2048/1215 375/224 121/72 91/54
198 ? 576/343 500/297 169/100
199 27/16 27/16 27/16 27/16
200 ? 320/189 56/33 22/13
201 ? 245/144 245/144 245/144
202 128/75 128/75 128/75 128/75
203 ? 250/147 75/44 75/44
204 2187/1280 875/512 875/512 200/117
205 1250/729 12/7 12/7 12/7
206 ? 441/256 55/32 55/32
207 216/125 140/81 140/81 140/81
208 ? 675/392 121/70 26/15
209 ? 392/225 210/121 45/26
210 125/72 125/72 125/72 125/72
211 ? 256/147 96/55 96/55
212 2187/1250 7/4 7/4 7/4
213 1280/729 1280/729 1280/729 250/143
214 ? 441/250 44/25 44/25
215 225/128 225/128 225/128 143/81
216 ? 432/245 175/99 175/99
217 ? 567/320 99/56 39/22
218 16/9 16/9 16/9 16/9
219 ? 343/192 343/192 300/169
220 3645/2048 224/125 216/121 143/80
221 15625/8748 25/14 25/14 25/14
222 ? 3072/1715 1375/768 70/39
223 9/5 9/5 9/5 9/5
224 ? 1024/567 231/128 65/36
225 59049/32768 49/27 49/27 49/27
226 2048/1125 405/224 363/200 91/50
227 ? 686/375 20/11 20/11
228 729/400 175/96 175/96 175/96
229 4000/2187 64/35 64/35 64/35
230 ? 147/80 11/6 11/6
231 1152/625 448/243 448/243 448/243
232 ? 90/49 81/44 81/44
233 59049/32000 945/512 224/121 24/13
234 50/27 50/27 50/27 50/27
235 ? 4096/2205 297/160 13/7
236 5832/3125 28/15 28/15 28/15
237 4096/2187 625/336 539/288 234/125
238 ? 640/343 144/77 144/77
239 15/8 15/8 15/8 15/8
240 ? 2304/1225 560/297 49/26
241 59049/31250 189/100 66/35 66/35
242 256/135 256/135 121/64 91/48
243 ? 343/180 125/66 125/66
244 243/128 243/128 243/128 143/75
245 12500/6561 40/21 21/11 21/11
246 ? 245/128 245/128 224/117
247 48/25 48/25 48/25 48/25
248 ? 375/196 77/40 52/27
249 19683/10240 784/405 700/363 25/13
250 625/324 27/14 27/14 27/14
251 ? 2560/1323 64/33 64/33
252 243/125 35/18 35/18 35/18
253 12800/6561 1024/525 1024/525 39/20
254 ? 49/25 49/25 49/25
255 125/64 125/64 125/64 125/64
256 ? 96/49 96/49 96/49
257 19683/10000 63/32 55/28 55/28
258 160/81 160/81 160/81 77/39
259 ? 675/343 99/50 99/50
260 2025/1024 448/225 240/121 143/72
261 65536/32805 125/63 125/63 125/63
262 ? 2048/1029 768/385 195/98
263 2/1 2/1 2/1 2/1