278edo

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278edo uses a step size of 4.3165467625899 cents, and is a commatonal and nanotonal EDO. It can be thought of as two sets of 139edo. Divisors are {{#rreplace: 278 139 2 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 ? 225/224 100/99 100/99
3 15552/15625 3125/3087 243/242 105/104
4 2048/2025 2048/2025 121/120 91/90
5 ? 126/125 126/125 126/125
6 ? 64/63 55/54 55/54
7 81/80 49/48 49/48 49/48
8 250/243 50/49 50/49 50/49
9 ? 525/512 45/44 40/39
10 78732/78125 3125/3024 968/945 143/140
11 128/125 128/125 77/75 77/75
12 20480/19683 1029/1000 352/343 65/63
13 ? 28/27 28/27 28/27
14 6561/6400 1323/1280 343/330 336/325
15 25/24 25/24 25/24 25/24
16 62500/59049 2500/2401 126/121 27/26
17 ? 1875/1792 363/350 26/25
18 648/625 392/375 392/375 150/143
19 256/243 256/243 22/21 22/21
20 ? 21/20 21/20 21/20
21 ? 200/189 200/189 200/189
22 135/128 135/128 35/33 35/33
23 3125/2916 625/588 625/588 143/135
24 ? 3584/3375 132/125 125/117
25 6561/6250 1323/1250 363/343 52/49
26 16/15 16/15 16/15 16/15
27 64000/59049 343/320 294/275 294/275
28 ? 15/14 15/14 15/14
29 2187/2048 2187/2048 189/176 14/13
30 625/576 625/576 242/225 242/225
31 ? 672/625 525/484 225/208
32 ? 1024/945 88/81 13/12
33 27/25 27/25 27/25 27/25
34 800/729 160/147 160/147 160/147
35 ? 35/32 12/11 12/11
36 ? 375/343 375/343 343/312
37 1125/1024 1125/1024 400/363 100/91
38 65536/59049 686/625 484/441 169/154
39 ? 192/175 11/10 11/10
40 2187/2000 441/400 441/400 325/294
41 10/9 10/9 10/9 10/9
42 ? 567/512 49/44 49/44
43 ? 125/112 125/112 125/112
44 3456/3125 3456/3125 135/121 135/121
45 4096/3645 4096/3645 121/108 39/35
46 ? 28/25 28/25 28/25
47 ? 384/343 55/49 55/49
48 9/8 9/8 9/8 9/8
49 2500/2187 500/441 500/441 147/130
50 ? 875/768 25/22 25/22
51 17496/15625 3125/2744 1331/1176 143/126
52 256/225 256/225 154/135 91/80
53 ? 343/300 343/300 343/300
54 ? 8/7 8/7 8/7
55 729/640 147/128 63/55 63/55
56 125/108 125/108 125/108 125/108
57 ? 3584/3125 140/121 15/13
58 ? 3125/2688 121/105 52/45
59 144/125 144/125 144/125 144/125
60 2560/2187 512/441 220/189 65/56
61 ? 7/6 7/6 7/6
62 59049/51200 400/343 400/343 378/325
63 75/64 75/64 75/64 75/64
64 15625/13122 3125/2646 567/484 168/143
65 ? 1024/875 88/75 88/75
66 729/625 147/125 147/125 147/125
67 32/27 32/27 32/27 13/11
68 ? 189/160 189/160 77/65
69 ? 25/21 25/21 25/21
70 1215/1024 1215/1024 105/88 105/88
71 3125/2592 1875/1568 484/405 143/120
72 ? 448/375 297/250 125/104
73 59049/50000 2048/1701 176/147 65/54
74 6/5 6/5 6/5 6/5
75 8000/6561 1600/1323 825/686 392/325
76 ? 135/112 40/33 40/33
77 19683/16384 1250/1029 147/121 63/52
78 625/512 625/512 121/100 91/75
79 ? 756/625 756/625 175/143
80 ? 128/105 11/9 11/9
81 243/200 49/40 49/40 49/40
82 100/81 60/49 60/49 60/49
83 ? 315/256 27/22 16/13
84 ? 625/504 625/504 338/275
85 768/625 768/625 150/121 150/121
86 8192/6561 3087/2500 121/98 26/21
87 ? 56/45 56/45 56/45
88 19683/16000 1280/1029 343/275 343/275
89 5/4 5/4 5/4 5/4
90 25000/19683 3000/2401 441/352 49/39
91 ? 1125/896 125/99 125/99
92 3888/3125 784/625 784/625 180/143
93 512/405 512/405 44/35 44/35
94 ? 63/50 63/50 63/50
95 ? 80/63 80/63 80/63
96 81/64 81/64 14/11 14/11
97 625/486 125/98 125/98 125/98
98 ? 2625/2048 225/176 50/39
99 19683/15625 2401/1875 242/189 104/81
100 32/25 32/25 32/25 32/25
101 25600/19683 1029/800 440/343 325/252
102 ? 9/7 9/7 9/7
103 6561/5120 1323/1024 343/264 84/65
104 125/96 125/96 100/77 100/77
105 78125/59049 3125/2401 315/242 135/104
106 ? 2048/1575 176/135 13/10
107 162/125 98/75 98/75 98/75
108 320/243 64/49 55/42 55/42
109 ? 21/16 21/16 21/16
110 ? 250/189 250/189 250/189
111 675/512 675/512 160/121 120/91
112 15625/11664 3125/2352 968/729 143/108
113 ? 896/675 33/25 33/25
114 6561/5000 1323/1000 1323/1000 65/49
115 4/3 4/3 4/3 4/3
116 80000/59049 343/256 147/110 147/110
117 ? 75/56 75/56 75/56
118 10935/8192 10935/8192 162/121 35/26
119 3125/2304 3125/2304 121/90 121/90
120 ? 168/125 168/125 168/125
121 ? 256/189 66/49 65/48
122 27/20 27/20 27/20 27/20
123 1000/729 200/147 200/147 169/125
124 ? 175/128 15/11 15/11
125 ? 1875/1372 1323/968 143/105
126 512/375 512/375 308/225 125/91
127 81920/59049 343/250 343/250 260/189
128 ? 48/35 11/8 11/8
129 2187/1600 441/320 378/275 378/275
130 25/18 25/18 25/18 25/18
131 ? 2835/2048 168/121 18/13
132 ? 625/448 242/175 104/75
133 864/625 864/625 675/484 200/143
134 1024/729 1024/729 88/63 39/28
135 ? 7/5 7/5 7/5
136 ? 480/343 275/196 275/196
137 45/32 45/32 45/32 45/32
138 3125/2187 625/441 343/242 147/104
139 ? 4375/3072 125/88 125/88
140 4374/3125 882/625 484/343 208/147
141 64/45 64/45 64/45 64/45
142 ? 343/240 343/240 343/240
143 ? 10/7 10/7 10/7
144 729/512 729/512 63/44 56/39
145 625/432 625/432 625/432 143/100
146 ? 896/625 175/121 75/52
147 ? 4096/2835 121/84 13/9
148 36/25 36/25 36/25 36/25
149 3200/2187 640/441 275/189 275/189
150 ? 35/24 16/11 16/11
151 59049/40960 500/343 500/343 189/130
152 375/256 375/256 225/154 182/125
153 78125/52488 2744/1875 1936/1323 143/98
154 ? 256/175 22/15 22/15
155 729/500 147/100 147/100 147/100
156 40/27 40/27 40/27 40/27
157 ? 189/128 49/33 49/33
158 ? 125/84 125/84 125/84
159 4608/3125 4608/3125 180/121 135/91
160 15625/10368 9261/6250 121/81 52/35
161 ? 112/75 112/75 112/75
162 59049/40000 512/343 220/147 220/147
163 3/2 3/2 3/2 3/2
164 10000/6561 2000/1323 1323/880 98/65
165 ? 675/448 50/33 50/33
166 23328/15625 3125/2058 729/484 169/112
167 1024/675 1024/675 121/80 91/60
168 ? 189/125 189/125 189/125
169 ? 32/21 32/21 32/21
170 243/160 49/32 49/32 49/32
171 125/81 75/49 75/49 75/49
172 ? 1575/1024 135/88 20/13
173 ? 3125/2016 484/315 169/110
174 192/125 192/125 77/50 77/50
175 10240/6561 2048/1323 528/343 65/42
176 ? 14/9 14/9 14/9
177 19683/12800 1600/1029 343/220 343/220
178 25/16 25/16 25/16 25/16
179 31250/19683 3750/2401 189/121 81/52
180 ? 4096/2625 352/225 39/25
181 972/625 196/125 196/125 196/125
182 128/81 128/81 11/7 11/7
183 ? 63/40 63/40 63/40
184 ? 100/63 100/63 100/63
185 405/256 405/256 35/22 35/22
186 3125/1944 625/392 625/392 143/90
187 ? 1792/1125 198/125 125/78
188 19683/12500 2401/1500 605/378 78/49
189 8/5 8/5 8/5 8/5
190 32000/19683 1029/640 441/275 441/275
191 ? 45/28 45/28 45/28
192 6561/4096 5000/3087 196/121 21/13
193 625/384 625/384 121/75 121/75
194 ? 1008/625 1008/625 275/169
195 ? 512/315 44/27 13/8
196 81/50 49/30 49/30 49/30
197 400/243 80/49 80/49 80/49
198 ? 105/64 18/11 18/11
199 ? 625/378 625/378 286/175
200 1024/625 1024/625 200/121 150/91
201 32768/19683 1029/625 242/147 104/63
202 ? 224/135 33/20 33/20
203 6561/4000 1323/800 1323/800 325/196
204 5/3 5/3 5/3 5/3
205 ? 1701/1024 147/88 108/65
206 ? 375/224 375/224 208/125
207 5184/3125 3136/1875 405/242 175/104
208 2048/1215 2048/1215 121/72 91/54
209 ? 42/25 42/25 42/25
210 ? 320/189 165/98 130/77
211 27/16 27/16 27/16 22/13
212 1250/729 250/147 250/147 169/100
213 ? 875/512 75/44 75/44
214 26244/15625 5292/3125 968/567 143/84
215 128/75 128/75 77/45 77/45
216 ? 343/200 343/200 325/189
217 ? 12/7 12/7 12/7
218 2187/1280 441/256 189/110 112/65
219 125/72 125/72 125/72 125/72
220 ? 5376/3125 210/121 45/26
221 ? 3125/1792 121/70 26/15
222 216/125 216/125 216/125 216/125
223 1280/729 256/147 110/63 110/63
224 ? 7/4 7/4 7/4
225 ? 600/343 600/343 343/195
226 225/128 225/128 135/77 135/77
227 15625/8748 3125/1764 1331/756 143/81
228 ? 1536/875 44/25 44/25
229 2187/1250 441/250 441/250 260/147
230 16/9 16/9 16/9 16/9
231 ? 343/192 98/55 98/55
232 ? 25/14 25/14 25/14
233 3645/2048 3645/2048 216/121 70/39
234 3125/1728 3125/1728 242/135 143/80
235 ? 224/125 224/125 224/125
236 ? 1024/567 88/49 65/36
237 9/5 9/5 9/5 9/5
238 4000/2187 800/441 800/441 588/325
239 ? 175/96 20/11 20/11
240 59049/32768 625/343 441/242 189/104
241 1875/1024 1875/1024 363/200 91/50
242 ? 686/375 686/375 525/286
243 ? 64/35 11/6 11/6
244 729/400 147/80 147/80 147/80
245 50/27 50/27 50/27 50/27
246 ? 945/512 81/44 24/13
247 ? 625/336 625/336 416/225
248 1152/625 1152/625 225/121 225/121
249 4096/2187 4096/2187 352/189 13/7
250 ? 28/15 28/15 28/15
251 59049/32000 640/343 275/147 275/147
252 15/8 15/8 15/8 15/8
253 12500/6561 2500/1323 686/363 49/26
254 ? 3375/1792 125/66 125/66
255 5832/3125 1176/625 1176/625 270/143
256 256/135 256/135 66/35 66/35
257 ? 189/100 189/100 189/100
258 ? 40/21 40/21 40/21
259 243/128 243/128 21/11 21/11
260 625/324 375/196 375/196 143/75
261 ? 3584/1875 675/352 25/13
262 59049/31250 2401/1250 121/63 52/27
263 48/25 48/25 48/25 48/25
264 12800/6561 2560/1323 660/343 325/168
265 ? 27/14 27/14 27/14
266 19683/10240 2000/1029 343/176 126/65
267 125/64 125/64 125/64 125/64
268 78125/39366 6048/3125 945/484 280/143
269 ? 1024/525 88/45 39/20
270 243/125 49/25 49/25 49/25
271 160/81 96/49 55/28 55/28
272 ? 63/32 63/32 63/32
273 ? 125/63 125/63 125/63
274 2025/1024 2025/1024 175/88 175/88
275 15625/7776 3125/1568 484/243 143/72
276 ? 448/225 99/50 99/50
277 19683/10000 2048/1029 880/441 195/98
278 2/1 2/1 2/1 2/1