211edo

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211edo is the 47th prime EDO. It has a step size of 5.6872037914692 cents. It is a commatonal EDO. It is not consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 126/125 126/125 126/125
2 81/80 81/80 81/80 81/80
3 32768/32805 2430/2401 99/98 99/98
4 6561/6400 245/243 100/99 66/65
5 2048/2025 686/675 56/55 56/55
6 3125/3072 49/48 45/44 45/44
7 128/125 50/49 50/49 50/49
8 16875/16384 36/35 36/35 36/35
9 648/625 405/392 33/32 33/32
10 ? 729/700 125/121 27/26
11 250/243 250/243 126/121 65/63
12 ? 28/27 28/27 26/25
13 25/24 25/24 25/24 25/24
14 16384/15625 21/20 21/20 21/20
15 135/128 135/128 22/21 22/21
16 20480/19683 1296/1225 132/125 96/91
17 2187/2048 729/686 128/121 55/52
18 256/243 256/243 35/33 35/33
19 78125/73728 200/189 200/189 52/49
20 16/15 16/15 16/15 16/15
21 ? 15/14 15/14 15/14
22 27/25 27/25 27/25 14/13
23 ? 243/224 243/224 225/208
24 2187/2000 784/729 121/112 121/112
25 32768/30375 175/162 175/162 13/12
26 625/576 49/45 12/11 12/11
27 2048/1875 35/32 35/32 35/32
28 1125/1024 192/175 192/175 128/117
29 3456/3125 54/49 11/10 11/10
30 18225/16384 972/875 400/363 72/65
31 800/729 800/729 672/605 195/176
32 ? 448/405 49/44 49/44
33 10/9 10/9 10/9 10/9
34 ? 28/25 28/25 28/25
35 9/8 9/8 9/8 9/8
36 65536/59049 567/500 55/49 55/49
37 729/640 729/640 198/175 44/39
38 4096/3645 1372/1215 112/99 112/99
39 15625/13824 245/216 25/22 25/22
40 256/225 256/225 63/55 63/55
41 9375/8192 8/7 8/7 8/7
42 144/125 144/125 55/48 55/48
43 ? 81/70 81/70 15/13
44 729/625 729/625 121/105 121/105
45 ? 280/243 280/243 52/45
46 125/108 125/108 64/55 64/55
47 32768/28125 7/6 7/6 7/6
48 75/64 75/64 75/64 75/64
49 18432/15625 189/160 88/75 88/75
50 1215/1024 405/343 33/28 33/28
51 2560/2187 1458/1225 297/250 13/11
52 19683/16384 2000/1701 144/121 144/121
53 32/27 32/27 32/27 32/27
54 78125/65536 25/21 25/21 25/21
55 6/5 6/5 6/5 6/5
56 ? 135/112 77/64 77/64
57 243/200 243/200 243/200 63/52
58 65536/54675 875/729 121/100 65/54
59 3125/2592 98/81 40/33 40/33
60 4096/3375 175/144 175/144 39/32
61 625/512 49/40 27/22 27/22
62 768/625 60/49 11/9 11/9
63 10125/8192 216/175 154/125 16/13
64 3888/3125 243/196 99/80 99/80
65 ? 896/729 121/98 81/65
66 100/81 100/81 100/81 26/21
67 ? 56/45 56/45 56/45
68 5/4 5/4 5/4 5/4
69 98304/78125 63/50 63/50 49/39
70 81/64 81/64 44/35 44/35
71 8192/6561 2744/2187 121/96 121/96
72 6561/5120 1225/972 125/99 33/26
73 512/405 343/270 14/11 14/11
74 15625/12288 80/63 80/63 80/63
75 32/25 32/25 32/25 32/25
76 84375/65536 9/7 9/7 9/7
77 162/125 162/125 162/125 84/65
78 ? 729/560 484/375 104/81
79 625/486 625/486 128/99 128/99
80 65536/50625 35/27 35/27 13/10
81 125/96 98/75 72/55 72/55
82 4096/3125 21/16 21/16 21/16
83 675/512 450/343 55/42 55/42
84 20736/15625 324/245 33/25 33/25
85 10935/8192 3645/2744 160/121 160/121
86 320/243 320/243 175/132 117/88
87 ? 250/189 147/110 65/49
88 4/3 4/3 4/3 4/3
89 ? 75/56 75/56 75/56
90 27/20 27/20 27/20 27/20
91 ? 1215/896 66/49 66/49
92 2187/1600 980/729 400/297 88/65
93 8192/6075 875/648 224/165 65/48
94 3125/2304 49/36 15/11 15/11
95 512/375 175/128 110/81 110/81
96 5625/4096 48/35 48/35 48/35
97 864/625 135/98 11/8 11/8
98 91125/65536 243/175 243/175 18/13
99 1000/729 1000/729 168/121 168/121
100 ? 112/81 112/81 104/75
101 25/18 25/18 25/18 25/18
102 65536/46875 7/5 7/5 7/5
103 45/32 45/32 45/32 45/32
104 81920/59049 567/400 176/125 128/91
105 729/512 486/343 99/70 55/39
106 1024/729 343/243 140/99 78/55
107 59049/40960 800/567 125/88 91/64
108 64/45 64/45 63/44 63/44
109 46875/32768 10/7 10/7 10/7
110 36/25 36/25 36/25 36/25
111 ? 81/56 81/56 75/52
112 729/500 729/500 121/84 121/84
113 ? 350/243 350/243 13/9
114 625/432 196/135 16/11 16/11
115 8192/5625 35/24 35/24 35/24
116 375/256 147/100 81/55 81/55
117 4608/3125 72/49 22/15 22/15
118 6075/4096 1296/875 165/112 96/65
119 3200/2187 729/490 297/200 65/44
120 98415/65536 1792/1215 49/33 49/33
121 40/27 40/27 40/27 40/27
122 ? 112/75 112/75 112/75
123 3/2 3/2 3/2 3/2
124 ? 189/125 121/81 98/65
125 243/160 243/160 243/160 176/117
126 16384/10935 3645/2401 121/80 121/80
127 15625/10368 245/162 50/33 50/33
128 1024/675 343/225 84/55 84/55
129 3125/2048 32/21 32/21 32/21
130 192/125 75/49 55/36 55/36
131 50625/32768 54/35 54/35 20/13
132 972/625 972/625 99/64 99/64
133 ? 1120/729 375/242 81/52
134 125/81 125/81 125/81 65/42
135 ? 14/9 14/9 14/9
136 25/16 25/16 25/16 25/16
137 24576/15625 63/40 63/40 63/40
138 405/256 405/256 11/7 11/7
139 10240/6561 1944/1225 198/125 52/33
140 6561/4096 2187/1372 192/121 165/104
141 128/81 128/81 35/22 35/22
142 78125/49152 100/63 100/63 78/49
143 8/5 8/5 8/5 8/5
144 ? 45/28 45/28 45/28
145 81/50 81/50 81/50 21/13
146 ? 729/448 121/75 121/75
147 3125/1944 392/243 160/99 160/99
148 16384/10125 175/108 125/77 13/8
149 625/384 49/30 18/11 18/11
150 1024/625 80/49 44/27 44/27
151 3375/2048 288/175 275/168 64/39
152 5184/3125 81/49 33/20 33/20
153 54675/32768 1458/875 200/121 91/55
154 400/243 400/243 400/243 104/63
155 ? 224/135 128/77 128/77
156 5/3 5/3 5/3 5/3
157 ? 42/25 42/25 42/25
158 27/16 27/16 27/16 27/16
159 32768/19683 1701/1000 121/72 121/72
160 2187/1280 1225/729 297/175 22/13
161 2048/1215 686/405 56/33 56/33
162 15625/9216 245/144 75/44 75/44
163 128/75 128/75 128/75 128/75
164 28125/16384 12/7 12/7 12/7
165 216/125 216/125 55/32 55/32
166 ? 243/140 243/140 45/26
167 1250/729 1250/729 121/70 121/70
168 ? 140/81 140/81 26/15
169 125/72 125/72 96/55 96/55
170 16384/9375 7/4 7/4 7/4
171 225/128 225/128 110/63 110/63
172 27648/15625 432/245 44/25 44/25
173 3645/2048 1215/686 99/56 99/56
174 1280/729 1280/729 175/99 39/22
175 59049/32768 1000/567 98/55 98/55
176 16/9 16/9 16/9 16/9
177 ? 25/14 25/14 25/14
178 9/5 9/5 9/5 9/5
179 ? 405/224 88/49 88/49
180 729/400 729/400 605/336 189/104
181 32768/18225 875/486 363/200 65/36
182 3125/1728 49/27 20/11 20/11
183 2048/1125 175/96 175/96 117/64
184 1875/1024 64/35 64/35 64/35
185 1152/625 90/49 11/6 11/6
186 30375/16384 324/175 231/125 24/13
187 4000/2187 729/392 224/121 224/121
188 ? 448/243 225/121 225/121
189 50/27 50/27 50/27 13/7
190 ? 28/15 28/15 28/15
191 15/8 15/8 15/8 15/8
192 ? 189/100 189/100 49/26
193 243/128 243/128 66/35 66/35
194 4096/2187 1372/729 121/64 104/55
195 19683/10240 1225/648 125/66 91/48
196 256/135 256/135 21/11 21/11
197 15625/8192 40/21 40/21 40/21
198 48/25 48/25 48/25 48/25
199 ? 27/14 27/14 25/13
200 243/125 243/125 121/63 121/63
201 ? 1400/729 242/125 52/27
202 625/324 625/324 64/33 64/33
203 32768/16875 35/18 35/18 35/18
204 125/64 49/25 49/25 49/25
205 6144/3125 63/32 63/32 63/32
206 2025/1024 675/343 55/28 55/28
207 12800/6561 486/245 99/50 65/33
208 32805/16384 2401/1215 196/99 196/99
209 160/81 160/81 160/81 160/81
210 ? 125/63 125/63 125/63
211 2/1 2/1 2/1 2/1