252edo

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252edo uses a step size of 4.7619047619048 cents, and is a commatonal and nanotonal EDO. It can be thought of as fourteen sets of 18edo. Divisors are {{#rreplace: 252 126 84 63 42 36 28 21 18 14 12 9 7 6 4 3 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent in the 7-odd-limit. It is contorted in 5-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 225/224 225/224 144/143
2 ? 126/125 126/125 105/104
3 81/80 81/80 81/80 81/80
4 ? 245/243 99/98 99/98
5 ? 875/864 625/616 66/65
6 2048/2025 686/675 56/55 56/55
7 ? 49/48 45/44 45/44
8 ? 50/49 50/49 50/49
9 128/125 128/125 128/125 40/39
10 ? 36/35 36/35 36/35
11 ? 405/392 33/32 33/32
12 250/243 250/243 250/243 27/26
13 ? 729/700 126/121 65/63
14 ? 28/27 28/27 28/27
15 25/24 25/24 25/24 25/24
16 ? 392/375 288/275 117/112
17 ? 21/20 21/20 21/20
18 135/128 135/128 22/21 22/21
19 ? 1323/1250 605/576 96/91
20 ? 1296/1225 128/121 55/52
21 256/243 256/243 35/33 35/33
22 ? 200/189 200/189 117/110
23 ? 625/588 294/275 52/49
24 16/15 16/15 16/15 16/15
25 ? 15/14 15/14 15/14
26 ? 672/625 275/256 14/13
27 27/25 27/25 27/25 27/25
28 ? 243/224 243/224 243/224
29 ? 175/162 121/112 121/112
30 625/576 625/576 625/576 13/12
31 ? 49/45 12/11 12/11
32 ? 35/32 35/32 35/32
33 1125/1024 375/343 275/252 128/117
34 ? 192/175 192/175 100/91
35 ? 54/49 11/10 11/10
36 800/729 800/729 484/441 72/65
37 ? 625/567 625/567 195/176
38 ? 448/405 49/44 49/44
39 10/9 10/9 10/9 10/9
40 ? 125/112 125/112 39/35
41 ? 28/25 28/25 28/25
42 9/8 9/8 9/8 9/8
43 ? 2025/1792 55/49 55/49
44 ? 567/500 567/500 44/39
45 729/640 729/640 112/99 112/99
46 ? 245/216 25/22 25/22
47 ? 500/441 275/243 91/80
48 256/225 256/225 63/55 63/55
49 ? 8/7 8/7 8/7
50 ? 225/196 55/48 55/48
51 144/125 144/125 144/125 15/13
52 ? 81/70 81/70 81/70
53 ? 280/243 121/105 121/105
54 125/108 125/108 125/108 52/45
55 ? 784/675 64/55 64/55
56 ? 7/6 7/6 7/6
57 75/64 75/64 75/64 75/64
58 ? 147/125 147/125 147/125
59 ? 189/160 88/75 88/75
60 1215/1024 405/343 33/28 33/28
61 ? 2000/1701 605/512 13/11
62 ? 1458/1225 144/121 144/121
63 32/27 32/27 32/27 32/27
64 ? 25/21 25/21 25/21
65 ? 448/375 448/375 117/98
66 6/5 6/5 6/5 6/5
67 ? 135/112 77/64 77/64
68 ? 756/625 605/504 63/52
69 243/200 243/200 147/121 65/54
70 ? 98/81 40/33 40/33
71 ? 175/144 175/144 91/75
72 625/512 625/512 336/275 39/32
73 ? 49/40 27/22 27/22
74 ? 60/49 11/9 11/9
75 768/625 768/625 275/224 16/13
76 ? 216/175 154/125 154/125
77 ? 243/196 99/80 99/80
78 100/81 100/81 100/81 81/65
79 ? 625/504 343/275 26/21
80 ? 56/45 56/45 56/45
81 5/4 5/4 5/4 5/4
82 ? 784/625 550/441 49/39
83 ? 63/50 63/50 63/50
84 81/64 81/64 44/35 44/35
85 ? 1225/972 121/96 121/96
86 ? 4375/3456 768/605 33/26
87 512/405 343/270 14/11 14/11
88 ? 80/63 80/63 80/63
89 ? 125/98 125/98 125/98
90 32/25 32/25 32/25 32/25
91 ? 9/7 9/7 9/7
92 ? 2025/1568 165/128 84/65
93 162/125 162/125 162/125 104/81
94 ? 729/560 128/99 128/99
95 ? 35/27 35/27 35/27
96 125/96 125/96 125/96 13/10
97 ? 98/75 72/55 72/55
98 ? 21/16 21/16 21/16
99 675/512 450/343 55/42 55/42
100 ? 1152/875 729/550 120/91
101 ? 324/245 33/25 33/25
102 320/243 320/243 175/132 169/128
103 ? 250/189 250/189 117/88
104 ? 896/675 147/110 65/49
105 4/3 4/3 4/3 4/3
106 ? 75/56 75/56 75/56
107 ? 168/125 168/125 35/26
108 27/20 27/20 27/20 27/20
109 ? 980/729 66/49 66/49
110 ? 875/648 605/448 88/65
111 2187/1600 2187/1600 224/165 65/48
112 ? 49/36 15/11 15/11
113 ? 175/128 110/81 110/81
114 512/375 343/250 343/250 143/105
115 ? 48/35 48/35 48/35
116 ? 135/98 11/8 11/8
117 864/625 864/625 605/441 18/13
118 ? 243/175 168/121 168/121
119 ? 112/81 112/81 112/81
120 25/18 25/18 25/18 25/18
121 ? 625/448 384/275 39/28
122 ? 7/5 7/5 7/5
123 45/32 45/32 45/32 45/32
124 ? 882/625 275/196 128/91
125 ? 567/400 176/125 55/39
126 729/512 343/243 99/70 99/70
127 ? 800/567 125/88 78/55
128 ? 625/441 392/275 91/64
129 64/45 64/45 63/44 63/44
130 ? 10/7 10/7 10/7
131 ? 896/625 275/192 56/39
132 36/25 36/25 36/25 36/25
133 ? 81/56 81/56 81/56
134 ? 350/243 121/84 121/84
135 625/432 625/432 625/432 13/9
136 ? 196/135 16/11 16/11
137 ? 35/24 35/24 35/24
138 375/256 375/256 275/189 117/80
139 ? 147/100 81/55 81/55
140 ? 72/49 22/15 22/15
141 3200/2187 2025/1372 165/112 96/65
142 ? 1296/875 896/605 65/44
143 ? 729/490 49/33 49/33
144 40/27 40/27 40/27 40/27
145 ? 125/84 125/84 52/35
146 ? 112/75 112/75 112/75
147 3/2 3/2 3/2 3/2
148 ? 675/448 121/81 98/65
149 ? 189/125 189/125 176/117
150 243/160 243/160 243/160 243/160
151 ? 245/162 50/33 50/33
152 ? 875/576 875/576 91/60
153 1024/675 343/225 84/55 84/55
154 ? 32/21 32/21 32/21
155 ? 75/49 55/36 55/36
156 192/125 192/125 192/125 20/13
157 ? 54/35 54/35 54/35
158 ? 1120/729 99/64 99/64
159 125/81 125/81 125/81 81/52
160 ? 2187/1400 189/121 65/42
161 ? 14/9 14/9 14/9
162 25/16 25/16 25/16 25/16
163 ? 196/125 196/125 196/125
164 ? 63/40 63/40 63/40
165 405/256 405/256 11/7 11/7
166 ? 3969/2500 605/384 52/33
167 ? 1944/1225 192/121 165/104
168 128/81 128/81 35/22 35/22
169 ? 100/63 100/63 100/63
170 ? 625/392 441/275 78/49
171 8/5 8/5 8/5 8/5
172 ? 45/28 45/28 45/28
173 ? 1008/625 550/343 21/13
174 81/50 81/50 81/50 81/50
175 ? 392/243 121/75 121/75
176 ? 175/108 125/77 125/77
177 625/384 625/384 448/275 13/8
178 ? 49/30 18/11 18/11
179 ? 80/49 44/27 44/27
180 1024/625 1024/625 275/168 64/39
181 ? 288/175 288/175 150/91
182 ? 81/49 33/20 33/20
183 400/243 400/243 242/147 91/55
184 ? 625/378 625/378 104/63
185 ? 224/135 128/77 128/77
186 5/3 5/3 5/3 5/3
187 ? 375/224 375/224 117/70
188 ? 42/25 42/25 42/25
189 27/16 27/16 27/16 27/16
190 ? 1225/729 121/72 121/72
191 ? 1701/1000 1024/605 22/13
192 2048/1215 686/405 56/33 56/33
193 ? 245/144 75/44 75/44
194 ? 250/147 250/147 245/143
195 128/75 128/75 128/75 128/75
196 ? 12/7 12/7 12/7
197 ? 675/392 55/32 55/32
198 216/125 216/125 216/125 45/26
199 ? 243/140 210/121 210/121
200 ? 140/81 121/70 121/70
201 125/72 125/72 125/72 26/15
202 ? 392/225 96/55 96/55
203 ? 7/4 7/4 7/4
204 225/128 225/128 110/63 110/63
205 ? 441/250 441/250 160/91
206 ? 432/245 44/25 44/25
207 1280/729 1215/686 99/56 99/56
208 ? 1000/567 605/343 39/22
209 ? 2187/1225 98/55 98/55
210 16/9 16/9 16/9 16/9
211 ? 25/14 25/14 25/14
212 ? 224/125 224/125 70/39
213 9/5 9/5 9/5 9/5
214 ? 405/224 88/49 88/49
215 ? 875/486 605/336 189/104
216 729/400 729/400 441/242 65/36
217 ? 49/27 20/11 20/11
218 ? 175/96 175/96 91/50
219 1875/1024 625/343 504/275 117/64
220 ? 64/35 64/35 64/35
221 ? 90/49 11/6 11/6
222 1152/625 1152/625 825/448 24/13
223 ? 324/175 224/121 224/121
224 ? 448/243 225/121 225/121
225 50/27 50/27 50/27 50/27
226 ? 625/336 512/275 13/7
227 ? 28/15 28/15 28/15
228 15/8 15/8 15/8 15/8
229 ? 1176/625 275/147 49/26
230 ? 189/100 189/100 189/100
231 243/128 243/128 66/35 66/35
232 ? 1225/648 121/64 104/55
233 ? 2500/1323 1152/605 91/48
234 256/135 256/135 21/11 21/11
235 ? 40/21 40/21 40/21
236 ? 375/196 275/144 143/75
237 48/25 48/25 48/25 25/13
238 ? 27/14 27/14 27/14
239 ? 1400/729 121/63 121/63
240 243/125 243/125 243/125 52/27
241 ? 784/405 64/33 64/33
242 ? 35/18 35/18 35/18
243 125/64 125/64 125/64 39/20
244 ? 49/25 49/25 49/25
245 ? 63/32 63/32 63/32
246 2025/1024 675/343 55/28 55/28
247 ? 1728/875 1232/625 65/33
248 ? 486/245 99/50 99/50
249 160/81 160/81 160/81 160/81
250 ? 125/63 125/63 125/63
251 ? 448/225 243/121 143/72
252 2/1 2/1 2/1 2/1