242edo

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242edo uses a step size of 4.9586776859504 cents, and is a commatonal and nanotonal EDO. It can be thought of as eleven sets of 22edo. Divisors are {{#rreplace: 242 121 22 11 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent in the 5-odd-limit. It is contorted in 5-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 1029/1024 441/440 351/352
2 2048/2025 2048/2025 121/120 121/120
3 ? 126/125 100/99 91/90
4 32805/32768 32805/32768 243/242 243/242
5 ? 64/63 55/54 55/54
6 81/80 49/48 49/48 49/48
7 ? 16807/16384 968/945 968/945
8 128/125 50/49 50/49 40/39
9 ? 525/512 45/44 45/44
10 20480/19683 4096/3969 352/343 121/117
11 ? 28/27 28/27 28/27
12 6561/6400 1323/1280 125/121 91/88
13 ? 3200/3087 363/350 176/169
14 25/24 25/24 25/24 25/24
15 ? 8505/8192 126/121 126/121
16 256/243 256/243 22/21 22/21
17 ? 21/20 21/20 21/20
18 ? 21609/20480 1331/1260 507/484
19 ? 200/189 132/125 55/52
20 135/128 135/128 35/33 35/33
21 ? 16384/15309 363/343 363/343
22 16/15 16/15 16/15 16/15
23 ? 343/320 294/275 117/110
24 32768/30375 2560/2401 242/225 242/225
25 ? 15/14 15/14 14/13
26 2187/2048 2187/2048 189/176 130/121
27 ? 1024/945 88/81 88/81
28 27/25 27/25 27/25 13/12
29 ? 16807/15360 525/484 525/484
30 800/729 160/147 160/147 99/91
31 ? 35/32 12/11 12/11
32 65536/59049 35721/32768 484/441 484/441
33 ? 192/175 11/10 11/10
34 1125/1024 441/400 400/363 169/154
35 ? 10240/9261 968/875 605/546
36 10/9 10/9 10/9 10/9
37 ? 567/512 49/44 49/44
38 4096/3645 4096/3645 121/108 121/108
39 ? 28/25 28/25 28/25
40 18225/16384 7203/6400 135/121 135/121
41 ? 384/343 55/49 44/39
42 9/8 9/8 9/8 9/8
43 ? 9261/8192 686/605 273/242
44 256/225 256/225 154/135 143/126
45 ? 343/300 25/22 25/22
46 ? 8192/7203 1512/1331 726/637
47 ? 8/7 8/7 8/7
48 729/640 147/128 63/55 63/55
49 ? 16384/14175 121/105 121/105
50 125/108 125/108 125/108 15/13
51 ? 4725/4096 140/121 140/121
52 2560/2187 512/441 220/189 121/104
53 ? 7/6 7/6 7/6
54 59049/51200 2401/2048 1029/880 702/605
55 ? 400/343 88/75 88/75
56 75/64 75/64 75/64 75/64
57 ? 32768/27783 567/484 567/484
58 32/27 32/27 32/27 32/27
59 ? 189/160 189/160 13/11
60 65536/54675 25600/21609 484/405 484/405
61 ? 25/21 25/21 25/21
62 1215/1024 1215/1024 105/88 105/88
63 ? 2048/1701 176/147 176/147
64 6/5 6/5 6/5 6/5
65 ? 3087/2560 875/726 637/528
66 4096/3375 1600/1323 121/100 110/91
67 ? 135/112 40/33 40/33
68 19683/16384 19683/16384 147/121 147/121
69 ? 128/105 11/9 11/9
70 243/200 49/40 49/40 39/32
71 ? 20480/16807 1331/1080 1183/968
72 100/81 60/49 60/49 16/13
73 ? 315/256 27/22 27/22
74 8192/6561 8192/6561 121/98 121/98
75 ? 56/45 56/45 26/21
76 10125/8192 2401/1920 150/121 150/121
77 ? 1280/1029 550/441 440/351
78 5/4 5/4 5/4 5/4
79 ? 5103/4096 441/352 441/352
80 512/405 512/405 44/35 44/35
81 ? 63/50 63/50 63/50
82 ? 64827/51200 1215/968 1215/968
83 ? 80/63 80/63 33/26
84 81/64 81/64 14/11 14/11
85 ? 32768/25515 242/189 242/189
86 32/25 32/25 32/25 32/25
87 ? 1029/800 225/176 169/132
88 25600/19683 3072/2401 440/343 352/273
89 ? 9/7 9/7 9/7
90 6561/5120 1323/1024 343/264 156/121
91 ? 2048/1575 176/135 176/135
92 125/96 98/75 98/75 13/10
93 ? 16807/12800 315/242 315/242
94 320/243 64/49 55/42 55/42
95 ? 21/16 21/16 21/16
96 ? 21609/16384 968/729 637/484
97 ? 250/189 33/25 33/25
98 675/512 675/512 160/121 160/121
99 ? 4096/3087 1331/1000 121/91
100 4/3 4/3 4/3 4/3
101 ? 343/256 147/110 117/88
102 8192/6075 3200/2401 121/90 121/90
103 ? 75/56 75/56 35/26
104 10935/8192 10935/8192 162/121 162/121
105 ? 256/189 66/49 66/49
106 27/20 27/20 27/20 27/20
107 ? 16807/12288 1331/972 819/605
108 512/375 200/147 200/147 143/105
109 ? 175/128 15/11 15/11
110 81920/59049 16384/11907 605/441 484/351
111 ? 48/35 11/8 11/8
112 2187/1600 441/320 378/275 91/66
113 ? 12800/9261 242/175 242/175
114 25/18 25/18 25/18 18/13
115 ? 2835/2048 168/121 168/121
116 1024/729 1024/729 88/63 88/63
117 ? 7/5 7/5 7/5
118 91125/65536 7203/5120 675/484 169/121
119 ? 480/343 176/125 55/39
120 45/32 45/32 45/32 45/32
121 ? 45927/32768 343/242 343/242
122 64/45 64/45 64/45 64/45
123 ? 343/240 125/88 78/55
124 ? 10240/7203 968/675 242/169
125 ? 10/7 10/7 10/7
126 729/512 729/512 63/44 63/44
127 ? 4096/2835 121/84 121/84
128 36/25 36/25 36/25 13/9
129 ? 9261/6400 175/121 175/121
130 3200/2187 640/441 275/189 132/91
131 ? 35/24 16/11 16/11
132 59049/40960 11907/8192 882/605 351/242
133 ? 256/175 22/15 22/15
134 375/256 147/100 147/100 117/80
135 ? 24576/16807 1331/900 1210/819
136 40/27 40/27 40/27 40/27
137 ? 189/128 49/33 49/33
138 16384/10935 16384/10935 121/81 121/81
139 ? 112/75 112/75 52/35
140 6075/4096 2401/1600 180/121 180/121
141 ? 512/343 220/147 176/117
142 3/2 3/2 3/2 3/2
143 ? 3087/2048 1323/880 182/121
144 1024/675 1024/675 121/80 121/80
145 ? 189/125 50/33 50/33
146 98415/65536 32768/21609 729/484 729/484
147 ? 32/21 32/21 32/21
148 243/160 49/32 49/32 49/32
149 ? 25600/16807 484/315 484/315
150 125/81 75/49 75/49 20/13
151 ? 1575/1024 135/88 135/88
152 10240/6561 2048/1323 528/343 121/78
153 ? 14/9 14/9 14/9
154 19683/12800 2401/1536 343/220 273/176
155 ? 1600/1029 352/225 264/169
156 25/16 25/16 25/16 25/16
157 ? 25515/16384 189/121 189/121
158 128/81 128/81 11/7 11/7
159 ? 63/40 63/40 52/33
160 ? 64827/40960 1331/840 1331/840
161 ? 100/63 100/63 100/63
162 405/256 405/256 35/22 35/22
163 ? 8192/5103 605/378 605/378
164 8/5 8/5 8/5 8/5
165 ? 1029/640 441/275 351/220
166 16384/10125 3840/2401 121/75 121/75
167 ? 45/28 45/28 21/13
168 6561/4096 6561/4096 196/121 195/121
169 ? 512/315 44/27 44/27
170 81/50 49/30 49/30 13/8
171 ? 16807/10240 1331/810 1183/726
172 400/243 80/49 80/49 64/39
173 ? 105/64 18/11 18/11
174 32768/19683 32768/19683 242/147 242/147
175 ? 224/135 33/20 33/20
176 3375/2048 1323/800 200/121 91/55
177 ? 5120/3087 1331/800 605/364
178 5/3 5/3 5/3 5/3
179 ? 1701/1024 147/88 147/88
180 2048/1215 2048/1215 121/72 121/72
181 ? 42/25 42/25 42/25
182 54675/32768 21609/12800 405/242 405/242
183 ? 320/189 165/98 22/13
184 27/16 27/16 27/16 27/16
185 ? 27783/16384 968/567 819/484
186 128/75 128/75 77/45 77/45
187 ? 343/200 75/44 75/44
188 ? 4096/2401 1760/1029 605/351
189 ? 12/7 12/7 12/7
190 2187/1280 441/256 189/110 189/110
191 ? 8192/4725 121/70 121/70
192 125/72 125/72 125/72 26/15
193 ? 14175/8192 210/121 210/121
194 1280/729 256/147 110/63 110/63
195 ? 7/4 7/4 7/4
196 ? 7203/4096 1331/756 637/363
197 ? 600/343 44/25 44/25
198 225/128 225/128 135/77 135/77
199 ? 16384/9261 605/343 484/273
200 16/9 16/9 16/9 16/9
201 ? 343/192 98/55 39/22
202 32768/18225 12800/7203 242/135 242/135
203 ? 25/14 25/14 25/14
204 3645/2048 3645/2048 216/121 216/121
205 ? 1024/567 88/49 88/49
206 9/5 9/5 9/5 9/5
207 ? 9261/5120 875/484 637/352
208 2048/1125 800/441 363/200 165/91
209 ? 175/96 20/11 20/11
210 59049/32768 59049/32768 441/242 441/242
211 ? 64/35 11/6 11/6
212 729/400 147/80 147/80 117/64
213 ? 30720/16807 968/525 968/525
214 50/27 50/27 50/27 24/13
215 ? 945/512 81/44 81/44
216 4096/2187 4096/2187 352/189 121/65
217 ? 28/15 28/15 13/7
218 30375/16384 2401/1280 225/121 225/121
219 ? 640/343 275/147 220/117
220 15/8 15/8 15/8 15/8
221 ? 15309/8192 686/363 455/242
222 256/135 256/135 66/35 66/35
223 ? 189/100 125/66 91/48
224 ? 40960/21609 1331/700 968/507
225 ? 40/21 40/21 40/21
226 243/128 243/128 21/11 21/11
227 ? 16384/8505 121/63 121/63
228 48/25 48/25 48/25 25/13
229 ? 3087/1600 675/352 169/88
230 12800/6561 2560/1323 242/125 176/91
231 ? 27/14 27/14 27/14
232 19683/10240 3969/2048 343/176 234/121
233 ? 1024/525 88/45 88/45
234 125/64 49/25 49/25 39/20
235 ? 32768/16807 945/484 945/484
236 160/81 96/49 55/28 55/28
237 ? 63/32 63/32 63/32
238 65536/32805 64827/32768 484/243 484/243
239 ? 125/63 99/50 99/50
240 2025/1024 2025/1024 175/88 175/88
241 ? 2048/1029 880/441 363/182
242 2/1 2/1 2/1 2/1