274edo

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274edo uses a step size of 4.3795620437956 cents, and is a commatonal and nanotonal EDO. It can be thought of as two sets of 137edo. Divisors are {{#rreplace: 274 137 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 7-odd-limit. It is contorted in 5-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 225/224 225/224 225/224
2 15625/15552 3136/3125 3136/3125 144/143
3 ? 126/125 126/125 105/104
4 81/80 81/80 81/80 81/80
5 ? 875/864 625/616 78/77
6 2048/2025 2048/2025 2048/2025 65/64
7 ? 64/63 56/55 56/55
8 6561/6400 49/48 45/44 45/44
9 ? 525/512 525/512 143/140
10 128/125 128/125 128/125 40/39
11 ? 36/35 36/35 36/35
12 250/243 250/243 33/32 33/32
13 ? 3125/3024 3125/3024 65/63
14 648/625 648/625 512/495 27/26
15 ? 28/27 28/27 28/27
16 25/24 25/24 25/24 25/24
17 ? 1875/1792 1875/1792 117/112
18 6561/6250 256/245 256/245 150/143
19 ? 21/20 21/20 21/20
20 135/128 135/128 135/128 104/99
21 ? 4608/4375 4608/4375 96/91
22 256/243 256/243 128/121 55/52
23 ? 200/189 35/33 35/33
24 2187/2048 625/588 375/352 52/49
25 ? 3584/3375 2048/1925 273/256
26 16/15 16/15 16/15 16/15
27 ? 15/14 15/14 15/14
28 3125/2916 2205/2048 275/256 130/121
29 ? 672/625 672/625 14/13
30 27/25 27/25 27/25 27/25
31 ? 175/162 121/112 121/112
32 625/576 625/576 625/576 13/12
33 ? 1024/945 896/825 99/91
34 2187/2000 49/45 12/11 12/11
35 ? 35/32 35/32 35/32
36 1125/1024 1125/1024 1125/1024 128/117
37 ? 192/175 192/175 100/91
38 800/729 54/49 11/10 11/10
39 ? 567/512 495/448 182/165
40 3456/3125 3456/3125 3125/2816 72/65
41 ? 448/405 256/231 231/208
42 10/9 10/9 10/9 10/9
43 ? 125/112 125/112 39/35
44 17496/15625 4096/3675 1536/1375 143/128
45 ? 28/25 28/25 28/25
46 9/8 9/8 9/8 9/8
47 ? 2025/1792 1155/1024 91/81
48 4096/3645 3528/3125 704/625 44/39
49 ? 567/500 112/99 112/99
50 729/640 245/216 25/22 25/22
51 ? 875/768 875/768 91/80
52 256/225 256/225 256/225 256/225
53 ? 8/7 8/7 8/7
54 2500/2187 147/128 55/48 55/48
55 ? 3584/3125 3584/3125 224/195
56 144/125 144/125 144/125 15/13
57 ? 81/70 81/70 81/70
58 125/108 125/108 125/108 52/45
59 ? 3125/2688 3125/2688 65/56
60 729/625 512/441 64/55 64/55
61 ? 7/6 7/6 7/6
62 75/64 75/64 75/64 75/64
63 ? 1024/875 1024/875 168/143
64 2560/2187 147/125 88/75 88/75
65 ? 189/160 33/28 33/28
66 1215/1024 1215/1024 605/512 13/11
67 ? 5184/4375 3584/3025 77/65
68 32/27 32/27 32/27 32/27
69 ? 25/21 25/21 25/21
70 15625/13122 1225/1024 1225/1024 117/98
71 ? 448/375 448/375 140/117
72 6/5 6/5 6/5 6/5
73 ? 135/112 77/64 77/64
74 3125/2592 3125/2592 2475/2048 65/54
75 ? 756/625 756/625 63/52
76 243/200 98/81 40/33 40/33
77 ? 175/144 175/144 91/75
78 625/512 625/512 625/512 39/32
79 ? 128/105 128/105 128/105
80 8000/6561 49/40 11/9 11/9
81 ? 315/256 275/224 275/224
82 768/625 768/625 768/625 16/13
83 ? 216/175 154/125 154/125
84 100/81 100/81 99/80 99/80
85 ? 625/504 625/504 26/21
86 3888/3125 3888/3125 1024/825 81/65
87 ? 56/45 56/45 56/45
88 5/4 5/4 5/4 5/4
89 ? 1125/896 1125/896 351/280
90 8192/6561 784/625 784/625 49/39
91 ? 63/50 44/35 44/35
92 81/64 81/64 81/64 81/64
93 ? 4375/3456 3125/2464 91/72
94 512/405 512/405 512/405 33/26
95 ? 80/63 14/11 14/11
96 6561/5120 125/98 125/98 125/98
97 ? 2625/2048 2625/2048 143/112
98 32/25 32/25 32/25 32/25
99 ? 9/7 9/7 9/7
100 625/486 625/486 165/128 104/81
101 ? 4032/3125 4032/3125 84/65
102 162/125 162/125 128/99 128/99
103 ? 35/27 35/27 35/27
104 125/96 125/96 125/96 13/10
105 ? 2048/1575 1792/1375 560/429
106 6561/5000 64/49 64/49 64/49
107 ? 21/16 21/16 21/16
108 675/512 675/512 675/512 130/99
109 ? 1152/875 1152/875 120/91
110 320/243 320/243 33/25 33/25
111 ? 250/189 175/132 175/132
112 10935/8192 3125/2352 1875/1408 65/49
113 ? 896/675 512/385 121/91
114 4/3 4/3 4/3 4/3
115 ? 75/56 75/56 75/56
116 15625/11664 8192/6125 1375/1024 192/143
117 ? 168/125 168/125 35/26
118 27/20 27/20 27/20 27/20
119 ? 875/648 605/448 104/77
120 3125/2304 3125/2304 3125/2304 65/48
121 ? 256/189 224/165 224/165
122 2187/1600 49/36 15/11 15/11
123 ? 175/128 175/128 143/105
124 512/375 512/375 512/375 160/117
125 ? 48/35 48/35 48/35
126 1000/729 135/98 11/8 11/8
127 ? 2835/2048 2475/1792 91/66
128 864/625 864/625 864/625 18/13
129 ? 112/81 112/81 112/81
130 25/18 25/18 25/18 25/18
131 ? 625/448 625/448 39/28
132 4374/3125 1024/735 384/275 169/121
133 ? 7/5 7/5 7/5
134 45/32 45/32 45/32 45/32
135 ? 6144/4375 5775/4096 128/91
136 1024/729 882/625 176/125 55/39
137 ? 343/243 99/70 99/70
138 729/512 625/441 125/88 78/55
139 ? 4375/3072 4375/3072 91/64
14

0

64/45 64/45 64/45 64/45
141 ? 10/7 10/7 10/7
142 3125/2187 735/512 275/192 143/100
143 ? 896/625 896/625 56/39
144 36/25 36/25 36/25 36/25
145 ? 81/56 81/56 81/56
146 625/432 625/432 625/432 13/9
147 ? 4096/2835 3584/2475 132/91
148 729/500 196/135 16/11 16/11
149 ? 35/24 35/24 35/24
150 375/256 375/256 375/256 117/80
151 ? 256/175 256/175 210/143
152 3200/2187 72/49 22/15 22/15
153 ? 189/128 165/112 165/112
154 4608/3125 4608/3125 3025/2048 65/44
155 ? 1296/875 896/605 77/52
156 40/27 40/27 40/27 40/27
157 ? 125/84 125/84 52/35
158 23328/15625 6125/4096 2048/1375 143/96
159 ? 112/75 112/75 112/75
160 3/2 3/2 3/2 3/2
161 ? 675/448 385/256 182/121
162 15625/10368 4704/3125 2816/1875 98/65
163 ? 189/125 189/125 169/112
164 243/160 243/160 50/33 50/33
165 ? 875/576 875/576 91/60
166 1024/675 1024/675 1024/675 99/65
167 ? 32/21 32/21 32/21
168 10000/6561 49/32 49/32 49/32
169 ? 1575/1024 1375/896 429/280
170 192/125 192/125 192/125 20/13
171 ? 54/35 54/35 54/35
172 125/81 125/81 99/64 99/64
173 ? 3125/2016 3125/2016 65/42
174 972/625 972/625 256/165 81/52
175 ? 14/9 14/9 14/9
176 25/16 25/16 25/16 25/16
177 ? 4096/2625 4096/2625 224/143
178 10240/6561 196/125 196/125 169/108
179 ? 63/40 11/7 11/7
180 405/256 405/256 405/256 52/33
181 ? 6912/4375 4928/3125 144/91
182 128/81 128/81 128/81 128/81
183 ? 100/63 35/22 35/22
184 6561/4096 625/392 625/392 78/49
185 ? 1792/1125 1792/1125 560/351
186 8/5 8/5 8/5 8/5
187 ? 45/28 45/28 45/28
188 3125/1944 3125/1944 825/512 130/81
189 ? 1008/625 1008/625 21/13
190 81/50 81/50 81/50 81/50
191 ? 175/108 125/77 125/77
192 625/384 625/384 625/384 13/8
193 ? 512/315 448/275 297/182
194 6561/4000 49/30 18/11 18/11
195 ? 105/64 105/64 105/64
196 1024/625 1024/625 1024/625 64/39
197 ? 288/175 288/175 150/91
198 400/243 81/49 33/20 33/20
199 ? 625/378 625/378 91/55
200 5184/3125 5184/3125 4096/2475 108/65
201 ? 224/135 128/77 128/77
202 5/3 5/3 5/3 5/3
203 ? 375/224 375/224 117/70
204 26244/15625 2048/1225 2048/1225 196/117
205 ? 42/25 42/25 42/25
206 27/16 27/16 27/16 27/16
207 ? 4375/2592 3025/1792 91/54
208 2048/1215 2048/1215 1024/605 22/13
209 ? 320/189 56/33 56/33
210 2187/1280 245/144 75/44 75/44
211 ? 875/512 875/512 143/84
212 128/75 128/75 128/75 128/75
213 ? 12/7 12/7 12/7
214 1250/729 441/256 55/32 55/32
215 ? 5376/3125 5376/3125 112/65
216 216/125 216/125 216/125 45/26
217 ? 140/81 121/70 121/70
218 125/72 125/72 125/72 26/15
219 ? 3125/1792 3125/1792 195/112
220 2187/1250 256/147 96/55 96/55
221 ? 7/4 7/4 7/4
222 225/128 225/128 225/128 225/128
223 ? 1536/875 1536/875 160/91
224 1280/729 432/245 44/25 44/25
225 ? 567/320 99/56 99/56
226 3645/2048 3125/1764 625/352 39/22
227 ? 3584/2025 2048/1155 162/91
228 16/9 16/9 16/9 16/9
229 ? 25/14 25/14 25/14
230 15625/8748 3675/2048 1375/768 143/80
231 ? 224/125 224/125 70/39
232 9/5 9/5 9/5 9/5
233 ? 405/224 231/128 231/128
234 3125/1728 3125/1728 3125/1728 65/36
235 ? 1024/567 896/495 165/91
236 729/400 49/27 20/11 20/11
237 ? 175/96 175/96 91/50
238 1875/1024 1875/1024 1875/1024 117/64
239 ? 64/35 64/35 64/35
240 4000/2187 90/49 11/6 11/6
241 ? 945/512 825/448 182/99
242 1152/625 1152/625 1152/625 24/13
243 ? 324/175 224/121 224/121
244 50/27 50/27 50/27 50/27
245 ? 625/336 625/336 13/7
246 5832/3125 4096/2205 512/275 121/65
247 ? 28/15 28/15 28/15
248 15/8 15/8 15/8 15/8
249 ? 3375/1792 1925/1024 455/242
250 4096/2187 1176/625 704/375 49/26
251 ? 189/100 66/35 66/35
252 243/128 243/128 121/64 104/55
253 ? 4375/2304 4375/2304 91/48
254 256/135 256/135 256/135 99/52
255 ? 40/21 21/11 21/11
256 12500/6561 245/128 245/128 143/75
257 ? 3584/1875 3584/1875 224/117
258 48/25 48/25 48/25 25/13
259 ? 27/14 27/14 27/14
260 625/324 625/324 495/256 52/27
261 ? 6048/3125 6048/3125 126/65
262 243/125 243/125 64/33 64/33
263 ? 35/18 35/18 35/18
264 125/64 125/64 125/64 39/20
265 ? 1024/525 1024/525 280/143
266 12800/6561 49/25 49/25 49/25
267 ? 63/32 55/28 55/28
268 2025/1024 2025/1024 2025/1024 65/33
269 ? 1728/875 1232/625 77/39
270 160/81 160/81 99/50 99/50
271 ? 125/63 125/63 125/63
272 31104/15625 3125/1568 3125/1568 143/72
273 ? 448/225 448/225 363/182
274 2/1 2/1 2/1 2/1