254edo

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254edo uses a step size of 4.7244094488189 cents, and is a commatonal and nanotonal EDO. It can be thought of as two sets of 127edo. Divisors are {{#rreplace: 254 127 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 245/243 245/243 196/195
2 2048/2025 1029/1024 176/175 169/168
3 20000/19683 126/125 100/99 91/90
4 32805/32768 686/675 245/242 105/104
5 78732/78125 64/63 64/63 64/63
6 81/80 81/80 55/54 55/54
7 3125/3072 49/48 49/48 49/48
8 128/125 50/49 50/49 50/49
9 250/243 250/243 45/44 40/39
10 ? 525/512 352/343 147/143
11 20480/19683 36/35 36/35 36/35
12 6561/6400 28/27 28/27 28/27
13 16875/16384 1323/1280 343/330 175/169
14 648/625 405/392 80/77 26/25
15 25/24 25/24 25/24 25/24
16 16384/15625 256/245 256/245 245/234
17 256/243 256/243 22/21 22/21
18 62500/59049 21/20 21/20 21/20
19 ? 343/324 343/324 343/324
20 6561/6250 200/189 81/77 81/77
21 135/128 135/128 35/33 35/33
22 78125/73728 1225/1152 363/343 52/49
23 16/15 16/15 16/15 16/15
24 3125/2916 784/729 77/72 77/72
25 32768/30375 343/320 343/320 338/315
26 64000/59049 15/14 15/14 15/14
27 2187/2048 175/162 175/162 14/13
28 ? 1024/945 264/245 264/245
29 27/25 27/25 27/25 13/12
30 625/576 49/45 49/45 49/45
31 2048/1875 160/147 160/147 160/147
32 800/729 243/224 12/11 12/11
33 ? 35/32 35/32 35/32
34 65536/59049 192/175 192/175 169/154
35 2187/2000 448/405 11/10 11/10
36 1125/1024 441/400 441/400 315/286
37 3456/3125 54/49 54/49 54/49
38 10/9 10/9 10/9 10/9
39 78125/69984 567/512 49/44 49/44
40 4096/3645 972/875 352/315 39/35
41 ? 28/25 28/25 28/25
42 18225/16384 384/343 384/343 175/156
43 17496/15625 640/567 55/49 55/49
44 9/8 9/8 9/8 9/8
45 15625/13824 245/216 245/216 147/130
46 256/225 256/225 198/175 143/126
47 2500/2187 567/500 25/22 25/22
48 ? 343/300 343/300 343/300
49 ? 8/7 8/7 8/7
50 729/640 280/243 55/48 55/48
51 9375/8192 147/128 147/128 147/128
52 144/125 144/125 121/105 52/45
53 125/108 125/108 125/108 15/13
54 32768/28125 512/441 396/343 196/169
55 2560/2187 81/70 64/55 64/55
56 59049/51200 7/6 7/6 7/6
57 ? 400/343 400/343 286/245
58 729/625 729/625 88/75 88/75
59 75/64 75/64 75/64 75/64
60 18432/15625 288/245 288/245 245/208
61 32/27 32/27 32/27 13/11
62 15625/13122 189/160 189/160 77/65
63 65536/54675 343/288 343/288 208/175
64 59049/50000 25/21 25/21 25/21
65 1215/1024 875/729 105/88 105/88
66 78125/65536 1225/1024 176/147 117/98
67 6/5 6/5 6/5 6/5
68 3125/2592 98/81 77/64 77/64
69 4096/3375 1600/1323 648/539 169/140
70 8000/6561 135/112 40/33 40/33
71 19683/16384 175/144 147/121 63/52
72 ? 128/105 128/105 128/105
73 243/200 243/200 11/9 11/9
74 625/512 49/40 49/40 49/40
75 768/625 60/49 60/49 60/49
76 100/81 100/81 27/22 16/13
77 ? 315/256 245/198 245/198
78 8192/6561 216/175 121/98 26/21
79 19683/16000 56/45 56/45 56/45
80 10125/8192 1280/1029 343/275 210/169
81 3888/3125 243/196 96/77 96/77
82 5/4 5/4 5/4 5/4
83 78125/62208 1225/972 441/352 49/39
84 512/405 512/405 44/35 44/35
85 25000/19683 63/50 63/50 63/50
86 ? 343/270 343/270 343/270
87 19683/15625 80/63 80/63 80/63
88 81/64 81/64 14/11 14/11
89 15625/12288 245/192 245/192 245/192
90 32/25 32/25 32/25 32/25
91 625/486 625/486 77/60 50/39
92 65536/50625 1029/800 440/343 440/343
93 25600/19683 9/7 9/7 9/7
94 6561/5120 35/27 35/27 35/27
95 84375/65536 1323/1024 343/264 343/264
96 162/125 162/125 100/77 13/10
97 125/96 98/75 98/75 98/75
98 4096/3125 64/49 64/49 64/49
99 320/243 320/243 55/42 55/42
100 78125/59049 21/16 21/16 21/16
101 ? 450/343 450/343 343/260
102 6561/5000 250/189 33/25 33/25
103 675/512 675/512 175/132 175/132
104 20736/15625 324/245 324/245 65/49
105 4/3 4/3 4/3 4/3
106 15625/11664 980/729 147/110 147/110
107 8192/6075 343/256 343/256 169/126
108 80000/59049 75/56 75/56 75/56
109 10935/8192 875/648 490/363 35/26
110 ? 256/189 66/49 66/49
111 27/20 27/20 27/20 27/20
112 3125/2304 49/36 49/36 49/36
113 512/375 200/147 200/147 143/105
114 1000/729 1000/729 15/11 15/11
115 ? 175/128 175/128 175/128
116 81920/59049 48/35 48/35 48/35
117 2187/1600 112/81 11/8 11/8
118 5625/4096 441/320 441/320 338/245
119 864/625 135/98 135/98 104/75
120 25/18 25/18 25/18 18/13
121 65536/46875 1024/735 245/176 245/176
122 1024/729 243/175 88/63 39/28
123 ? 7/5 7/5 7/5
124 91125/65536 343/243 343/243 343/243
125 4374/3125 800/567 108/77 108/77
126 45/32 45/32 45/32 45/32
127 78125/55296 1225/864 343/242 147/104
128 64/45 64/45 64/45 64/45
129 3125/2187 567/400 77/54 77/54
130 ? 343/240 343/240 343/240
131 ? 10/7 10/7 10/7
132 729/512 350/243 63/44 56/39
133 46875/32768 735/512 352/245 351/245
134 36/25 36/25 36/25 13/9
135 625/432 196/135<

br>| | 175/121

75/52
136 8192/5625 640/441 495/343 245/169
137 3200/2187 81/56 16/11 16/11
138 59049/40960 35/24 35/24 35/24
139 ? 256/175 256/175 143/98
140 729/500 729/500 22/15 22/15
141 375/256 147/100 147/100 147/100
142 4608/3125 72/49 72/49 72/49
143 40/27 40/27 40/27 40/27
144 78125/52488 189/128 49/33 49/33
145 16384/10935 1296/875 363/245 52/35
146 59049/40000 112/75 112/75 112/75
147 6075/4096 512/343 512/343 175/117
148 23328/15625 729/490 220/147 220/147
149 3/2 3/2 3/2 3/2
150 15625/10368 245/162 245/162 98/65
151 1024/675 1024/675 264/175 169/112
152 10000/6561 189/125 50/33 50/33
153 98415/65536 343/225 343/225 315/208
154 ? 32/21 32/21 32/21
155 243/160 243/160 55/36 55/36
156 3125/2048 49/32 49/32 49/32
157 192/125 75/49 75/49 75/49
158 125/81 125/81 77/50 20/13
159 ? 1575/1024 528/343 441/286
160 10240/6561 54/35 54/35 54/35
161 19683/12800 14/9 14/9 14/9
162 50625/32768 1600/1029 343/220 343/220
163 972/625 972/625 120/77 39/25
164 25/16 25/16 25/16 25/16
165 24576/15625 384/245 384/245 245/156
166 128/81 128/81 11/7 11/7
167 31250/19683 63/40 63/40 63/40
168 ? 343/216 343/216 343/216
169 19683/12500 100/63 100/63 100/63
170 405/256 405/256 35/22 35/22
171 78125/49152 1225/768 704/441 78/49
172 8/5 8/5 8/5 8/5
173 3125/1944 392/243 77/48 77/48
174 16384/10125 1029/640 550/343 169/105
175 32000/19683 45/28 45/28 45/28
176 6561/4096 175/108 175/108 21/13
177 ? 512/315 396/245 396/245
178 81/50 81/50 44/27 13/8
179 625/384 49/30 49/30 49/30
180 1024/625 80/49 80/49 80/49
181 400/243 400/243 18/11 18/11
182 ? 105/64 105/64 105/64
183 32768/19683 288/175 242/147 104/63
184 6561/4000 224/135 33/20 33/20
185 3375/2048 1323/800 539/324 280/169
186 5184/3125 81/49 81/49 81/49
187 5/3 5/3 5/3 5/3
188 78125/46656 1225/729 147/88 147/88
189 2048/1215 1458/875 176/105 117/70
190 ? 42/25 42/25 42/25
191 54675/32768 576/343 539/320 175/104
192 26244/15625 320/189 165/98 130/77
193 27/16 27/16 27/16 22/13
194 15625/9216 245/144 245/144 245/144
195 128/75 128/75 128/75 128/75
196 1250/729 1250/729 75/44 75/44
197 ? 343/200 343/200 245/143
198 ? 12/7 12/7 12/7
199 2187/1280 140/81 55/32 55/32
200 28125/16384 441/256 343/198 169/98
201 216/125 216/125 121/70 26/15
202 125/72 125/72 125/72 45/26
203 16384/9375 256/147 256/147 256/147
204 1280/729 243/140 96/55 96/55
205 ? 7/4 7/4 7/4
206 ? 600/343 600/343 343/195
207 2187/1250 1000/567 44/25 44/25
208 225/128 225/128 175/99 175/99
209 27648/15625 432/245 432/245 260/147
210 16/9 16/9 16/9 16/9
211 15625/8748 567/320 98/55 98/55
212 32768/18225 343/192 343/192 312/175
213 ? 25/14 25/14 25/14
214 3645/2048 875/486 315/176 70/39
215 ? 1024/567 88/49 88/49
216 9/5 9/5 9/5 9/5
217 3125/1728 49/27 49/27 49/27
218 2048/1125 800/441 800/441 507/280
219 4000/2187 405/224 20/11 20/11
220 59049/32768 175/96 175/96 175/96
221 ? 64/35 64/35 64/35
222 729/400 448/243 11/6 11/6
223 1875/1024 147/80 147/80 147/80
224 1152/625 90/49 90/49 90/49
225 50/27 50/27 50/27 24/13
226 ? 945/512 245/132 245/132
227 4096/2187 324/175 324/175 13/7
228 59049/32000 28/15 28/15 28/15
229 30375/16384 640/343 539/288 315/169
230 5832/3125 729/392 144/77 144/77
231 15/8 15/8 15/8 15/8
232 78125/41472 1225/648 686/363 49/26
233 256/135 256/135 66/35 66/35
234 12500/6561 189/100 121/64 91/48
235 ? 343/180 343/180 343/180
236 59049/31250 40/21 40/21 40/21
237 243/128 243/128 21/11 21/11
238 15625/8192 245/128 245/128 245/128
239 48/25 48/25 48/25 48/25
240 625/324 625/324 77/40 25/13
241 32768/16875 2560/1323 660/343 338/175
242 12800/6561 27/14 27/14 27/14
243 19683/10240 35/18 35/18 35/18
244 ? 1024/525 343/176 286/147
245 243/125 243/125 88/45 39/20
246 125/64 49/25 49/25 49/25
247 6144/3125 96/49 96/49 96/49
248 160/81 160/81 55/28 55/28
249 78125/39366 63/32 63/32 63/32
250 65536/32805 675/343 484/245 208/105
251 19683/10000 125/63 99/50 99/50
252 2025/1024 2025/1024 175/88 175/88
253 31104/15625 486/245 486/245 195/98
254 2/1 2/1 2/1 2/1