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 |