275edo

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275edo uses a step size of 4.3636363636364 cents, and is a commatonal and nanotonal EDO. It can be thought of as eleven sets of 25edo, or as 55edo with a five times smaller step size. Divisors are {{#rreplace: 275 55 25 11 5 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 9-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 78732/78125 2400/2401 176/175 176/175
2 32805/32768 126/125 121/120 121/120
3 2048/2025 225/224 225/224 144/143
4 15625/15552 4000/3969 99/98 91/90
5 81/80 81/80 81/80 66/65
6 ? 64/63 64/63 64/63
7 20000/19683 3125/3087 55/54 55/54
8 128/125 49/48 49/48 49/48
9 3125/3072 50/49 50/49 50/49
10 6561/6400 1029/1000 45/44 40/39
11 ? 36/35 36/35 36/35
12 250/243 250/243 33/32 33/32
13 648/625 648/625 363/350 65/63
14 16875/16384 28/27 28/27 28/27
15 20480/19683 3125/3024 125/121 26/25
16 16384/15625 392/375 80/77 80/77
17 25/24 25/24 25/24 25/24
18 6561/6250 2500/2401 22/21 22/21
19 ? 21/20 21/20 21/20
20 256/243 256/243 132/125 104/99
21 82944/78125 1323/1250 81/77 81/77
22 135/128 135/128 135/128 55/52
23 ? 200/189 128/121 128/121
24 62500/59049 1701/1600 35/33 35/33
25 16/15 16/15 16/15 16/15
26 78125/73728 625/588 77/72 77/72
27 2187/2048 343/320 242/225 125/117
28 32768/30375 15/14 15/14 15/14
29 3125/2916 3125/2916 189/176 14/13
30 27/25 27/25 27/25 27/25
31 ? 175/162 175/162 175/162
32 64000/59049 3402/3125 88/81 13/12
33 2048/1875 49/45 49/45 49/45
34 625/576 160/147 160/147 160/147
35 2187/2000 686/625 12/11 12/11
36 ? 35/32 35/32 35/32
37 800/729 375/343 11/10 11/10
38 3456/3125 441/400 441/400 100/91
39 1125/1024 54/49 54/49 54/49
40 65536/59049 625/567 243/220 72/65
41 ? 567/512 256/231 231/208
42 10/9 10/9 10/9 10/9
43 17496/15625 8000/7203 49/44 39/35
44 18225/16384 28/25 28/25 28/25
45 4096/3645 125/112 125/112 125/112
46 78125/69984 3528/3125 55/49 55/49
47 9/8 9/8 9/8 9/8
48 ? 640/567 198/175 147/130
49 ? 567/500 112/99 112/99
50 256/225 245/216 245/216 143/126
51 15625/13824 500/441 154/135 91/80
52 729/640 343/300 25/22 25/22
53 ? 8/7 8/7 8/7
54 2500/2187 2500/2187 55/48 55/48
55 144/125 144/125 121/105 121/105
56 9375/8192 225/196 225/196 169/147
57 59049/51200 9261/8000 343/297 15/13
58 32768/28125 81/70 81/70 81/70
59 125/108 125/108 125/108 121/104
60 729/625 729/625 64/55 64/55
61 ? 7/6 7/6 7/6
62 2560/2187 400/343 88/75 88/75
63 18432/15625 147/125 90/77 90/77
64 75/64 75/64 75/64 75/64
65 59049/50000 2000/1701 33/28 33/28
66 ? 189/160 189/160 77/65
67 32/27 32/27 32/27 13/11
68 93312/78125 3125/2646 196/165 108/91
69 1215/1024 343/288 343/288 143/120
70 65536/54675 25/21 25/21 25/21
71 15625/13122 2401/2000 105/88 105/88
72 6/5 6/5 6/5 6/5
73 78125/65536 875/729 77/64 77/64
74 19683/16384 756/625 121/100 65/54
75 4096/3375 98/81 98/81 98/81
76 3125/2592 1600/1323 297/245 63/52
77 243/200 243/200 40/33 40/33
78 ? 128/105 128/105 128/105
79 8000/6561 1250/1029 11/9 11/9
80 768/625 49/40 49/40 49/40
81 625/512 60/49 60/49 60/49
82 19683/16000 3087/2500 27/22 16/13
83 ? 216/175 121/98 121/98
84 100/81 100/81 99/80 99/80
85 3888/3125 3888/3125 245/198 26/21
86 10125/8192 56/45 56/45 56/45
87 8192/6561 625/504 150/121 81/65
88 98304/78125 784/625 96/77 96/77
89 5/4 5/4 5/4 5/4
90 19683/15625 3000/2401 44/35 44/35
91 ? 63/50 63/50 63/50
92 512/405 432/343 432/343 180/143
93 78125/62208 3969/3125 308/243 91/72
94 81/64 81/64 81/64 33/26
95 ? 80/63 80/63 80/63
96 25000/19683 2401/1875 14/11 14/11
97 32/25 32/25 32/25 32/25
98 15625/12288 125/98 77/60 77/60
99 6561/5120 1029/800 225/176 50/39
100 65536/50625 9/7 9/7 9/7
101 625/486 625/486 165/128 84/65
102 162/125 162/125 128/99 128/99
103 84375/65536 35/27 35/27 35/27
104 25600/19683 4000/3087 176/135 13/10
105 4096/3125 98/75 98/75 98/75
106 125/96 64/49 64/49 64/49
107 6561/5000 3125/2401 55/42 55/42
108 ? 21/16 21/16 21/16
109 320/243 320/243 33/25 33/25
110 20736/15625 1323/1000 392/297 120/91
111 675/512 324/245 324/245 143/108
112 ? 250/189 160/121 121/91
113 78125/59049 1701/1280 175/132 65/49
114 4/3 4/3 4/3 4/3
115 ? 3125/2352 147/110 147/110
116 10935/8192 168/125 121/90 121/90
117 8192/6075 75/56 75/56 75/56
118 15625/11664 15625/11664 66/49 35/26
119 27/20 27/20 27/20 27/20
120 ? 256/189 256/189 104/77
121 80000/59049 1701/1250 110/81 65/48
122 512/375 49/36 49/36 49/36
123 3125/2304 200/147 200/147 200/147
124 2187/1600 343/250 15/11 15/11
125 ? 48/35 48/35 48/35
126 1000/729 1000/729 11/8 11/8
127 864/625 441/320 242/175 125/91
128 5625/4096 112/81 112/81 91/66
129 81920/59049 3125/2268 243/176 18/13
130 65536/46875 243/175 243/175 243/175
131 25/18 25/18 25/18 25/18
132 4374/3125 4374/3125 88/63 39/28
133 91125/65536 7/5 7/5 7/5
134 1024/729 480/343 176/125 169/121
135 ? 882/625 108/77 108/77
136 45/32 45/32 45/32 45/32
137 ? 800/567 99/70 99/70
138 ? 567/400 140/99 140/99
139 64/45 64/45 64/45 64/45
140 78125/55296 625/441 77/54 77/54
141 729/512 343/240 125/88 125/88
142 ? 10/7 10/7 10/7
143 3125/2187 3125/2187 63/44 56/39
144 36/25 36/25 36/25 36/25
145 46875/32768 350/243 231/160 231/160
146 59049/40960 4536/3125 352/243 13/9
147 8192/5625 81/56 81/56 81/56
148 625/432 625/432 175/121 175/121
149 729/500 729/500 16/11 16/11
150 ? 35/24 35/24 35/24
151 3200/2187 500/343 22/15 22/15
152 4608/3125 147/100 147/100 147/100
153 375/256 72/49 72/49 72/49
154 59049/40000 2500/1701 81/55 81/55
155 ? 189/128 189/128 77/52
156 40/27 40/27 40/27 40/27
157 23328/15625 11907/8000 49/33 49/33
158 6075/4096 112/75 112/75 112/75
159 16384/10935 125/84 125/84 125/84
160 78125/52488 2401/1600 220/147 175/117
161 3/2 3/2 3/2 3/2
162 ? 2560/1701 264/175 98/65
163 98415/65536 189/125 121/80 121/80
164 1024/675 245/162 245/162 169/112
165 15625/10368 2000/1323 297/196 91/60
166 243/160 243/160 50/33 50/33
167 ? 32/21 32/21 32/21
168 10000/6561 3125/2058 55/36 55/36
169 192/125 49/32 49/32 49/32
170 3125/2048 75/49 75/49 75/49
171 19683/12800 3087/2000 135/88 20/13
172 ? 54/35 54/35 54/35
173 125/81 125/81 99/64 99/64
174 972/625 972/625 256/165 65/42
175 50625/32768 14/9 14/9 14/9
176 10240/6561 1600/1029 343/220 39/25
177 24576/15625 196/125 120/77 120/77
178 25/16 25/16 25/16 25/16
179 19683/12500 3750/2401 11/7 11/7
180 ? 63/40 63/40 63/40
181 128/81 128/81 128/81 52/33
182 ? 3969/2500 243/154 144/91
183 405/256 343/216 343/216 143/90
184 ? 100/63 100/63 100/63
185 31250/19683 2401/1500 35/22 35/22
186 8/5 8/5 8/5 8/5
187 78125/49152 625/392 77/48 77/48
188 6561/4096 1008/625 121/75 121/75
189 16384/10125 45/28 45/28 45/28
190 3125/1944 3125/1944 396/245 21/13
191 81/50 81/50 81/50 81/50
192 ? 175/108 175/108 175/108
193 32000/19683 5000/3087 44/27 13/8
194 1024/625 49/30 49/30 49/30
195 625/384 80/49 80/49 80/49
196 6561/4000 1029/625 18/11 18/11
197 ? 105/64 105/64 105/64
198 400/243 400/243 33/20 33/20
199 5184/3125 1323/800 490/297 104/63
200 3375/2048 81/49 81/49 81/49
201 32768/19683 625/378 200/121 108/65
202 ? 1458/875 128/77 128/77
203 5/3 5/3 5/3 5/3
204 26244/15625 4000/2401 147/88 117/70
205 54675/32768 42/25 42/25 42/25
206 2048/1215 375/224 375/224 240/143
207 78125/46656 5292/3125 165/98 91/54
208 27/16 27/16 27/16 22/13
209 ? 320/189 297/175 130/77
210 ? 1701/1000 56/33 56/33
211 128/75 128/75 128/75 128/75
212 15625/9216 250/147 77/45 77/45
213 2187/1280 343/200 75/44 75/44
214 ? 12/7 12/7 12/7
215 1250/729 1250/729 55/32 55/32
216 216/125 216/125 121/70 121/70
217 28125/16384 140/81 140/81 140/81
218 ? 15625/9072 343/198 26/15
219 16384/9375 243/140 243/140 243/140
220 125/72 125/72 125/72 125/72
221 2187/1250 2187/1250 96/55 96/55
222 ? 7/4 7/4 7/4
223 1280/729 600/343 44/25 44/25
224 27648/15625 441/250 135/77 135/77
225 225/128 225/128 225/128 143/81
226 ? 1000/567 99/56 99/56
227 ? 567/320 175/99 175/99
228 16/9 16/9 16/9 16/9
229 ? 3125/1764 98/55 98/55
230 3645/2048 224/125 224/125 143/80
231 32768/18225 25/14 25/14 25/14
232 15625/8748 7203/4000 88/49 70/39
233 9/5 9/5 9/5 9/5
234 ? 875/486 231/128 231/128
235 59049/32768 1134/625 363/200 65/36
236 2048/1125 49/27 49/27 49/27
237 3125/1728 800/441 800/441 91/50
238 729/400 686/375 20/11 20/11
239 ? 64/35 64/35 64/35
240 4000/2187 625/343 11/6 11/6
241 1152/625 147/80 147/80 147/80
242 1875/1024 90/49 90/49 90/49
243 59049/32000 3125/1701 81/44 24/13
244 ? 324/175 324/175 324/175
245 50/27 50/27 50/27 50/27
246 5832/3125 5832/3125 245/132 13/7
247 30375/16384 28/15 28/15 28/15
248 4096/2187 625/336 225/121 225/121
249 ? 1176/625 144/77 144/77
250 15/8 15/8 15/8 15/8
251 59049/31250 3200/1701 66/35 49/26
252 ? 189/100 121/64 121/64
253 256/135 256/135 256/135 104/55
254 78125/41472 2500/1323 154/81 91/48
255 243/128 243/128 125/66 99/52
256 ? 40/21 40/21 40/21
257 12500/6561 2401/1250 21/11 21/11
258 48/25 48/25 48/25 48/25
259 15625/8192 375/196 77/40 77/40
260 19683/10240 3087/1600 242/125 25/13
261 32768/16875 27/14 27/14 27/14
262 625/324 625/324 495/256 126/65
263 243/125 243/125 64/33 64/33
264 ? 35/18 35/18 35/18
265 12800/6561 2000/1029 88/45 39/20
266 6144/3125 49/25 49/25 49/25
267 125/64 96/49 96/49 96/49
268 19683/10000 6174/3125 55/28 55/28
269 ? 63/32 63/32 63/32
270 160/81 160/81 99/50 65/33
271 31104/15625 3969/2000 196/99 180/9

1

272 2025/1024 448/225 448/225 143/72
273 65536/32805 125/63 125/63 125/63
274 78125/39366 2401/1200 175/88 175/88
275 2/1 2/1 2/1 2/1