280edo

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280edo uses a step size of 4.2857142857143 cents, and is a commatonal and nanotonal EDO. It can be thought of as fourteen sets of 20edo, or as 70edo with a four times smaller step size. Divisors are {{#rreplace: 280 140 70 56 40 35 28 20 14 10 8 7 4 5 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 7-odd-limit. It is contorted in 5-limit and 7-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? ? 385/384 352/351
2 32805/32768 225/224 225/224 169/168
3 ? ? 100/99 100/99
4 2048/2025 126/125 121/120 91/90
5 ? ? 99/98 78/77
6 81/80 64/63 64/63 64/63
7 ? ? 55/54 55/54
8 ? 49/48 49/48 49/48
9 ? ? 45/44 45/44
10 128/125 128/125 128/125 40/39
11 ? ? 77/75 77/75
12 6561/6400 36/35 36/35 36/35
13 ? ? 33/32 33/32
14 20480/19683 28/27 28/27 28/27
15 ? ? 80/77 80/77
16 25/24 25/24 25/24 25/24
17 ? ? 704/675 176/169
18 ? 256/245 256/245 117/112
19 ? ? 22/21 22/21
20 256/243 21/20 21/20 21/20
21 ? ? 81/77 81/77
22 135/128 135/128 128/121 96/91
23 ? ? 35/33 35/33
24 ? 625/588 363/343 52/49
25 ? ? 297/280 117/110
26 16/15 16/15 16/15 16/15
27 ? ? 77/72 77/72
28 2187/2048 15/14 15/14 15/14
29 ? ? 189/176 189/176
30 32768/30375 175/162 175/162 14/13
31 ? ? 250/231 250/231
32 27/25 27/25 27/25 13/12
33 ? ? 88/81 88/81
34 ? 49/45 49/45 49/45
35 ? ? 12/11 12/11
36 800/729 35/32 35/32 35/32
37 ? ? 675/616 169/154
38 1125/1024 192/175 192/175 100/91
39 ? ? 11/10 11/10
40 65536/59049 54/49 54/49 54/49
41 ? ? 243/220 195/176
42 10/9 10/9 10/9 10/9
43 ? ? 49/44 49/44
44 18225/16384 125/112 125/112 39/35
45 ? ? 352/315 143/128
46 4096/3645 28/25 28/25 28/25
47 ? ? 55/49 55/49
48 9/8 9/8 9/8 9/8
49 ? ? 112/99 44/39
50 ? 245/216 245/216 147/130
51 ? ? 25/22 25/22
52 256/225 256/225 256/225 91/80
53 ? ? 154/135 154/135
54 729/640 8/7 8/7 8/7
55 ? ? 55/48 55/48
56 ? 147/128 147/128 147/128
57 ? ? 343/297 343/297
58 125/108 125/108 121/105 15/13
59 ? ? 231/200 231/200
60 59049/51200 81/70 81/70 65/56
61 ? ? 64/55 64/55
62 2560/2187 7/6 7/6 7/6
63 ? ? 90/77 90/77
64 75/64 75/64 75/64 75/64
65 ? ? 88/75 88/75
66 ? 147/125 147/125 147/125
67 ? ? 33/28 13/11
68 32/27 32/27 32/27 32/27
69 ? ? 196/165 77/65
70 1215/1024 25/21 25/21 25/21
71 ? ? 105/88 105/88
72 65536/54675 448/375 448/375 117/98
73 ? ? 176/147 176/147
74 6/5 6/5 6/5 6/5
75 ? ? 77/64 77/64
76 19683/16384 98/81 98/81 98/81
77 ? ? 40/33 40/33
78 4096/3375 175/144 121/100 63/52
79 ? ? 297/245 297/245
80 243/200 128/105 128/105 39/32
81 ? ? 11/9 11/9
82 ? 49/40 49/40 49/40
83 ? ? 27/22 27/22
84 100/81 100/81 100/81 16/13
85 ? ? 154/125 154/125
86 10125/8192 216/175 121/98 26/21
87 ? ? 99/80 99/80
88 8192/6561 56/45 56/45 56/45
89 ? ? 96/77 96/77
90 5/4 5/4 5/4 5/4
91 ? ? 441/352 429/343
92 ? 784/625 784/625 49/39
93 ? ? 44/35 44/35
94 512/405 63/50 63/50 63/50
95 ? ? 308/243 195/154
96 81/64 80/63 80/63 80/63
97 ? ? 14/11 14/11
98 ? 125/98 125/98 125/98
99 ? ? 225/176 143/112
100 32/25 32/25 32/25 32/25
101 ? ? 77/60 77/60
102 6561/5120 9/7 9/7 9/7
103 ? ? 128/99 128/99
104 25600/19683 35/27 35/27 35/27
105 ? ? 100/77 100/77
106 125/96 125/96 125/96 13/10
107 ? ? 176/135 176/135
108 ? 64/49 64/49 64/49
109 ? ? 55/42 55/42
110 320/243 21/16 21/16 21/16
111 ? ? 392/297 154/117
112 675/512 250/189 160/121 120/91
113 ? ? 33/25 33/25
114 ? 324/245 324/245 65/49
115 ? ? 297/224 117/88
116 4/3 4/3 4/3 4/3
117 ? ? 147/110 147/110
118 10935/8192 75/56 75/56 75/56
119 ? ? 400/297 192/143
120 8192/6075 168/125 121/90 35/26
121 ? ? 66/49 66/49
122 27/20 27/20 27/20 27/20
123 ? ? 110/81 88/65
124 ? 49/36 49/36 49/36
125 ? ? 15/11 15/11
126 512/375 175/128 175/128 160/117
127 ? ? 308/225 196/143
128 2187/1600 48/35 48/35 48/35
129 ? ? 11/8 11/8
130 81920/59049 112/81 112/81 112/81
131 ? ? 243/176 243/176
132 25/18 25/18 25/18 18/13
133 ? ? 245/176 245/176
134 91125/65536 243/175 243/175 39/28
135 ? ? 88/63 88/63
136 1024/729 7/5 7/5 7/5
137 ? ? 108/77 108/77
138 45/32 45/32 45/32 45/32
139 ? ? 140/99 55/39
140 ? 625/441 343/242 147/104
141 ? ? 99/70 78/55
142 64/45 64/45 64/45 64/45
143 ? ? 77/54 77/54
144 729/512 10/7 10/7 10/7
145 ? ? 63/44 63/44
146 ? 350/243 350/243 56/39
147 ? ? 352/245 352/245
148 36/25 36/25 36/25 13/9
149 ? ? 231/160 231/160
150 59049/40960 81/56 81/56 81/56
151 ? ? 16/11 16/11
152 3200/2187 35/24 35/24 35/24
153 ? ? 225/154 143/98
154 375/256 256/175 256/175 117/80
155 ? ? 22/15 22/15
156 ? 72/49 72/49 72/49
157 ? ? 81/55 65/44
158 40/27 40/27 40/27 40/27
159 ? ? 49/33 49/33
160 6075/4096 125/84 125/84 52/35
161 ? ? 297/200 143/96
162 16384/10935 112/75 112/75 112/75
163 ? ? 220/147 220/147
164 3/2 3/2 3/2 3/2
165 ? ? 385/256 176/117
166 98415/65536 245/162 245/162 98/65
167 ? ? 50/33 50/33
168 1024/675 189/125 121/80 91/60
169 ? ? 297/196 117/77
170 243/160 32/21 32/21 32/21
171 ? ? 55/36 55/36
172 ? 49/32 49/32 49/32
173 ? ? 135/88 135/88
174 125/81 125/81 125/81 20/13
175 ? ? 77/50 77/50
176 19683/12800 54/35 54/35 54/35
177 ? ? 99/64 99/64
178 10240/6561 14/9 14/9 14/9
179 ? ? 120/77 120/77
180 25/16 25/16 25/16 25/16
181 ? ? 352/225 224/143
182 ? 196/125 196/125 196/125
183 ? ? 11/7 11/7
184 128/81 63/40 63/40 63/40
185 ? ? 243/154 243/154
186 405/256 100/63 100/63 100/63
187 ? ? 35/22 35/22
188 ? 625/392 625/392 78/49
189 ? ? 704/441 351/220
190 8/5 8/5 8/5 8/5
191 ? ? 77/48 77/48
192 6561/4096 45/28 45/28 45/28
193 ? ? 160/99 160/99
194 16384/10125 175/108 121/75 21/13
195 ? ? 125/77 125/77
196 81/50 81/50 81/50 13/8
197 ? ? 44/27 44/27
198 ? 49/30 49/30 49/30
199 ? ? 18/11 18/11
200 400/243 105/64 105/64 64/39
201 ? ? 490/297 385/234
202 3375/2048 288/175 200/121 104/63
203 ? ? 33/20 33/20
204 32768/19683 81/49 81/49 81/49
205 ? ? 128/77 128/77
206 5/3 5/3 5/3 5/3
207 ? ? 147/88 147/88
208 54675/32768 375/224 375/224 117/70
209 ? ? 176/105 176/105
210 2048/1215 42/25 42/25 42/25
211 ? ? 165/98 130/77
212 27/16 27/16 27/16 27/16
213 ? ? 56/33 22/13
214 ? 245/144 245/144 245/144
215 ? ? 75/44 75/44
216 128/75 128/75 128/75 128/75
217 ? ? 77/45 77/45
218 2187/1280 12/7 12/7 12/7
219 ? ? 55/32 55/32
220 ? 140/81 140/81 112/65
221 ? ? 343/198 343/198
222 125/72 125/72 121/70 26/15
223 ? ? 594/343 594/343
224 ? 243/140 243/140 195/112
225 ? ? 96/55 96/55
226 1280/729 7/4 7/4 7/4
227 ? ? 135/77 135/77
228 225/128 225/128 225/128 160/91
229 ? ? 44/25 44/25
230 ? 432/245 432/245 260/147
231 ? ? 99/56 39/22
232 16/9 16/9 16/9 16/9
233 ? ? 98/55 98/55
234 3645/2048 25/14 25/14 25/14
235 ? ? 315/176 143/80
236 32768/18225 224/125 224/125 70/39
237 ? ? 88/49 88/49
238 9/5 9/5 9/5 9/5
239 ? ? 231/128 231/128
240 59049/32768 49/27 49/27 49/27
241 ? ? 20/11 20/11
242 2048/1125 175/96 175/96 91/50
243 ? ? 891/490 308/169
244 729/400 64/35 64/35 64/35
245 ? ? 11/6 11/6
246 ? 90/49 90/49 90/49
247 ? ? 81/44 81/44
248 50/27 50/27 50/27 24/13
249 ? ? 231/125 231/125
250 30375/16384 324/175 225/121 13/7
251 ? ? 297/160 297/160
252 4096/2187 28/15 28/15 28/15
253 ? ? 144/77 144/77
254 15/8 15/8 15/8 15/8
255 ? ? 560/297 220/117
256 ? 1176/625 686/363 49/26
257 ? ? 66/35 66/35
258 256/135 189/100 121/64 91/48
259 ? ? 154/81 154/81
260 243/128 40/21 40/21 40/21
261 ? ? 21/11 21/11
262 ? 245/128 245/128 224/117
263 ? ? 675/352 169/88
264 48/25 48/25 48/25 25/13
265 ? ? 77/40 77/40
266 19683/10240 27/14 27/14 27/14
267 ? ? 64/33 64/33
268 12800/6561 35/18 35/18 35/18
269 ? ? 150/77 150/77
270 125/64 125/64 125/64 39/20
271 ? ? 88/45 88/45
272 ? 49/25 49/25 49/25
273 ? ? 55/28 55/28
274 160/81 63/32 63/32 63/32
275 ? ? 196/99 77/39
276 2025/1024 125/63 125/63 125/63
277 ? ? 99/50 99/50
278 65536/32805 448/225 448/225 195/98
279 ? ? 539/270 351/176
280 2/1 2/1 2/1 2/1