264edo

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264edo uses a step size of 4.5454545454545 cents, and is a commatonal and nanotonal EDO. It can be thought of as twelve sets of 22edo, or as 88edo with a three times smaller step size. Divisors are {{#rreplace: 264 132 88 66 44 33 24 22 12 11 8 6 4 3 2 1|/(\d+)(\D+)?/|\1\2}}. In 7-limit, it has the same 1/1—225/224—126/125—81/80 split as 171edo does, but not as accurate. It is consistent and uniquely consistent in the 7-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 78125/78732 225/224 225/224 225/224
2 ? 126/125 126/125 126/125
3 81/80 81/80 81/80 81/80
4 15625/15552 3645/3584 896/891 512/507
5 ? 245/243 100/99 66/65
6 2048/2025 875/864 625/616 65/64
7 3125/3072 64/63 56/55 56/55
8 ? 49/48 45/44 45/44
9 128/125 128/125 128/125 128/125
10 16875/16384 36/35 36/35 36/35
11 ? 405/392 33/32 33/32
12 648/625 648/625 648/625 336/325
13 250/243 250/243 125/121 27/26
14 ? 3125/3024 512/495 512/495
15 6561/6250 28/27 28/27 26/25
16 25/24 25/24 25/24 25/24
17 ? 256/245 256/245 256/245
18 16384/15625 21/20 21/20 21/20
19 135/128 135/128 135/128 135/128
20 ? 1296/1225 132/125 96/91
21 82944/78125 729/686 297/280 55/52
22 256/243 256/243 128/121 128/121
23 78125/73728 200/189 35/33 35/33
24 ? 625/588 375/352 273/256
25 16/15 16/15 16/15 16/15
26 62500/59049 15/14 15/14 15/14
27 ? 672/625 275/256 275/256
28 27/25 27/25 27/25 14/13
29 3125/2916 243/224 121/112 121/112
30 ? 784/729 320/297 320/297
31 2187/2000 175/162 175/162 13/12
32 625/576 625/576 625/576 625/576
33 ? 49/45 12/11 12/11
34 2048/1875 35/32 35/32 35/32
35 1125/1024 192/175 192/175 128/117
36 ? 54/49 11/10 11/10
37 3456/3125 567/512 495/448 495/448
38 800/729 800/729 400/363 72/65
39 ? 625/567 625/567 195/176
40 17496/15625 448/405 256/231 256/231
41 10/9 10/9 10/9 10/9
42 ? 125/112 125/112 125/112
43 ? 28/25 28/25 28/25
44 9/8 9/8 9/8 9/8
45 78125/69984 2025/1792 704/625 512/455
46 ? 567/500 198/175 44/39
47 729/640 729/640 363/320 325/288
48 15625/13824 640/567 112/99 112/99
49 ? 245/216 25/22 25/22
50 256/225 256/225 256/225 256/225
51 9375/8192 8/7 8/7 8/7
52 ? 147/128 55/48 55/48
53 144/125 144/125 144/125 144/125
54 2500/2187 81/70 81/70 15/13
55 ? 3645/3136 297/256 297/256
56 729/625 280/243 140/121 52/45
57 125/108 125/108 125/108 65/56
58 ? 512/441 64/55 64/55
59 32768/28125 7/6 7/6 7/6
60 75/64 75/64 75/64 75/64
61 ? 147/125 88/75 88/75
62 18432/15625 189/160 33/28 33/28
63 1215/1024 1215/1024 605/512 384/325
64 ? 1458/1225 297/250 13/11
65 93312/78125 3125/2646 625/528 455/384
66 32/27 32/27 32/27 32/27
67 78125/65536 25/21 25/21 25/21
68 ? 448/375 448/375 448/375
69 6/5 6/5 6/5 6/5
70 15625/13122 135/112 77/64 77/64
71 ? 756/625 756/625 392/325
72 243/200 243/200 121/100 63/52
73 3125/2592 2048/1701 1024/847 1024/845
74 ? 98/81 40/33 40/33
75 4096/3375 175/144 175/144 39/32
76 625/512 128/105 128/105 128/105
77 ? 49/40 11/9 11/9
78 768/625 315/256 275/224 275/224
79 8000/6561 216/175 154/125 16/13
80 ? 243/196 99/80 99/80
81 3888/3125 896/729 448/363 448/363
82 100/81 100/81 100/81 26/21
83 ? 625/504 625/504 625/504
84 19683/15625 56/45 56/45 56/45
85 5/4 5/4 5/4 5/4
86 ? 784/625 784/625 784/625
87 98304/78125 63/50 44/35 44/35
88 81/64 81/64 81/64 81/64
89 78125/62208 2744/2187 792/625 208/165
90 ? 1225/972 125/99 33/26
91 512/405 512/405 512/405 325/256
92 15625/12288 80/63 14/11 14/11
93 ? 125/98 125/98 125/98
94 32/25 32/25 32/25 32/25
95 25000/19683 9/7 9/7 9/7
96 ? 1323/1024 165/128 165/128
97 162/125 162/125 162/125 84/65
98 625/486 625/486 363/280 135/104
99 ? 1568/1215 128/99 128/99
100 6561/5000 35/27 35/27 13/10
101 125/96 125/96 125/96 125/96
102 ? 64/49 64/49 64/49
103 4096/3125 21/16 21/16 21/16
104 675/512 675/512 675/512 256/195
105 ? 324/245 33/25 33/25
106 20736/15625 1701/1280 297/224 169/128
107 320/243 320/243 160/121 160/121
108 ? 250/189 175/132 65/49
109 ? 896/675 512/385 512/385
110 4/3 4/3 4/3 4/3
111 78125/59049 75/56 75/56 75/56
112 ? 168/125 168/125 168/125
113 27/20 27/20 27/20 27/20
114 15625/11664 1215/896 605/448 605/448
115 ? 980/729 400/297 88/65
116 2187/1600 875/648 625/462 65/48
117 3125/2304 256/189 224/165 224/165
118 ? 49/36 15/11 15/11
119 512/375 175/128 175/128 175/128
120 5625/4096 48/35 48/35 48/35
121 ? 135/98 11/8 11/8
122 864/625 864/625 864/625 448/325
123 1000/729 243/175 242/175 18/13
124 ? 2187/1568 891/640 891/640
125 4374/3125 112/81 112/81 104/75
126 25/18 25/18 25/18 25/18
127 ? 625/448 384/275 384/275
128 65536/46875 7/5 7/5 7/5
129 45/32 45/32 45/32 45/32
130 ? 882/625 176/125 128/91
131 ? 486/343 99/70 55/39
132 729/512 729/512 363/256 363/256
133 78125/55296 343/243 140/99 78/55
134 ? 625/441 125/88 91/64
135 64/45 64/45 64/45 64/45
136 46875/32768 10/7 10/7 10/7
137 ? 735/512 275/192 275/192
138 36/25 36/25 36/25 36/25
139 3125/2187 81/56 81/56 75/52
140 ? 3136/2187 1280/891 1280/891
141 729/500 350/243 175/121 13/9
142 625/432 625/432 625/432 325/224
143 ? 196/135 16/11 16/11
144 8192/5625 35/24 35/24 35/24
145 375/256 256/175 256/175 256/175
146 ? 72/49 22/15 22/15
147 4608/3125 189/128 165/112 165/112
148 3200/2187 1296/875 924/625 96/65
149 ? 729/490 297/200 65/44
150 23328/15625 1792/1215 896/605 896/605
151 40/27 40/27 40/27 40/27
152 ? 125/84 125/84 125/84
153 ? 112/75 112/75 112/75
154 3/2 3/2 3/2 3/2
155 78125/52488 675/448 385/256 385/256
156 ? 189/125 189/125 98/65
157 243/160 243/160 121/80 121/80
158 15625/10368 2560/1701 448/297 256/169
159 ? 245/162 50/33 50/33
160 1024/675 875/576 875/576 195/128
161 3125/2048 32/21 32/21 32/21
162 ? 49/32 49/32 49/32
163 192/125 192/125 192/125 192/125
164 10000/6561 54/35 54/35 20/13
165 ? 1215/784 99/64 99/64
166 972/625 972/625 560/363 208/135
167 125/81 125/81 125/81 65/42
168 ? 2048/1323 256/165 256/165
169 19683/12500 14/9 14/9 14/9
170 25/16 25/16 25/16 25/16
171 ? 196/125 196/125 196/125
172 24576/15625 63/40 11/7 11/7
173 405/256 405/256 405/256 405/256
174 ? 1944/1225 198/125 52/33
175 ? 2187/1372 625/396 165/104
176 128/81 128/81 128/81 128/81
177 78125/49152 100/63 35/22 35/22
178 ? 625/392 625/392 625/392
179 8/5 8/5 8/5 8/5
180 31250/19683 45/28 45/28 45/28
181 ? 1008/625 825/512 825/512
182 81/50 81/50 81/50 21/13
183 3125/1944 729/448 363/224 363/224
184 ? 392/243 160/99 160/99
185 6561/4000 175/108 125/77 13/8
186 625/384 512/315 448/275 448/275
187 ? 49/30 18/11 18/11
188 1024/625 105/64 105/64 105/64
189 3375/2048 288/175 288/175 64/39
190 ? 81/49 33/20 33/20
191 5184/3125 1701/1024 847/512 845/512
192 400/243 400/243 200/121 91/55
193 ? 625/378 625/378 325/196
194 26244/15625 224/135 128/77 128/77
195 5/3 5/3 5/3 5/3
196 ? 375/224 375/224 375/224
197 ? 42/25 42/25 42/25
198 27/16 27/16 27/16 27/16
199 78125/46656 5292/3125 1056/625 768/455
200 ? 1225/729 297/175 22/13
201 2048/1215 2048/1215 1024/605 325/192
202 15625/9216 320/189 56/33 56/33
203 ? 245/144 75/44 75/44
204 128/75 128/75 128/75 128/75
205 28125/16384 12/7 12/7 12/7
206 ? 441/256 55/32 55/32
207 216/125 216/125 216/125 112/65
208 1250/729 243/140 121/70 45/26
209 ? 6272/3645 512/297 512/297
210 2187/1250 140/81 140/81 26/15
211 125/72 125/72 125/72 125/72
212 ? 256/147 96/55 96/55
213 16384/9375 7/4 7/4 7/4
214 225/128 225/128 225/128 225/128
215 ? 432/245 44/25 44/25
216 27648/15625 567/320 99/56 99/56
217 1280/729 1280/729 640/363 576/325
218 ? 1000/567 175/99 39/22
219 ? 3125/1764 625/352 455/256
220 16/9 16/9 16/9 16/9
221 ? 25/14 25/14 25/14
222 ? 224/125 224/125 224/125
223 9/5 9/5 9/5 9/5
224 15625/8748 405/224 231/128 231/128
225 ? 1134/625 1134/625 352/195
226 729/400 729/400 363/200 65/36
227 3125/1728 1024/567 896/495 896/495
228 ? 49/27 20/11 20/11
229 2048/1125 175/96 175/96 117/64
230 1875/1024 64/35 64/35 64/35
231 ? 90/49 11/6 11/6
232 1152/625 945/512 825/448 825/448
233 4000/2187 324/175 231/125 24/13
234 ? 729/392 297/160 297/160
235 5832/3125 448/243 224/121 224/121
236 50/27 50/27 50/27 13/7
237 ? 625/336 512/275 512/275
238 59049/31250 28/15 28/15 28/15
239 15/8 15/8 15/8 15/8
240 ? 1176/625 704/375 512/273
241 ? 189/100 66/35 49/26
242 243/128 243/128 121/64 121/64
243 78125/41472 1372/729 560/297 104/55
244 ? 1225/648 125/66 91/48
245 256/135 256/135 256/135 256/135
246 15625/8192 40/21 21/11 21/11
247 ? 245/128 245/128 245/128
248 48/25 48/25 48/25 48/25
249 12500/6561 27/14 27/14 25/13
250 ? 3969/2048 495/256 495/256
251 243/125 243/125 242/125 52/27
252 625/324 625/324 625/324 325/168
253 ? 784/405 64/33 64/33
254 19683/10000 35/18 35/18 35/18
255 125/64 125/64 125/64 125/64
256 ? 49/25 49/25 49/25
257 6144/3125 63/32 55/28 55/28
258 2025/1024 1728/875 1232/625 128/65
259 ? 486/245 99/50 65/33
260 31104/15625 5103/2560 891/448 507/256
261 160/81 160/81 160/81 160/81
262 ? 125/63 125/63 125/63
263 ? 448/225 448/225 448/225
264 2/1 2/1 2/1 2/1