191edo

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191edo is the 43rd prime EDO. It has a step size of 6.282722513089 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 ? 225/224 100/99 100/99
2 3125/3072 3125/3072 243/242 105/104
3 2048/2025 2048/2025 121/120 91/90
4 ? 64/63 55/54 55/54
5 81/80 49/48 49/48 49/48
6 ? 525/512 45/44 40/39
7 16875/16384 16875/16384 125/121 125/121
8 128/125 128/125 77/75 65/63
9 ? 28/27 28/27 28/27
10 25/24 25/24 25/24 25/24
11 ? 1875/1792 126/121 27/26
12 78125/73728 8192/7875 363/350 26/25
13 256/243 256/243 22/21 22/21
14 ? 21/20 21/20 21/20
15 135/128 135/128 35/33 35/33
16 16384/15625 4375/4096 375/352 125/117
17 ? 3584/3375 132/125 52/49
18 16/15 16/15 16/15 16/15
19 ? 15/14 15/14 15/14
20 625/576 625/576 189/176 14/13
21 32768/30375 15625/14336 242/225 225/208
22 ? 672/625 88/81 13/12
23 27/25 27/25 27/25 27/25
24 ? 35/32 12/11 12/11
25 1125/1024 1125/1024 400/363 100/91
26 2048/1875 2048/1875 484/441 169/154
27 ? 192/175 11/10 11/10
28 10/9 10/9 10/9 10/9
29 ? 125/112 49/44 49/44
30 15625/13824 15625/13824 135/121 135/121
31 3456/3125 3456/3125 121/108 39/35
32 ? 28/25 28/25 28/25
33 9/8 9/8 9/8 9/8
34 ? 875/768 25/22 25/22
35 9375/8192 9375/8192 704/625 143/126
36 256/225 256/225 154/135 91/80
37 ? 8/7 8/7 8/7
38 125/108 125/108 63/55 63/55
39 ? 3125/2688 140/121 15/13
40 ? 3584/3125 121/105 52/45
41 144/125 144/125 144/125 65/56
42 ? 7/6 7/6 7/6
43 75/64 75/64 75/64 75/64
44 32768/28125 16875/14336 567/484 168/143
45 78125/65536 1024/875 88/75 88/75
46 32/27 32/27 32/27 13/11
47 ? 25/21 25/21 25/21
48 1215/1024 1215/1024 105/88 105/88
49 18432/15625 18432/15625 484/405 125/104
50 ? 448/375 176/147 65/54
51 6/5 6/5 6/5 6/5
52 ? 135/112 40/33 40/33
53 625/512 625/512 147/121 63/52
54 4096/3375 4096/3375 121/100 91/75
55 ? 128/105 11/9 11/9
56 100/81 49/40 49/40 49/40
57 ? 315/256 27/22 16/13
58 10125/8192 10125/8192 150/121 150/121
59 768/625 768/625 121/98 26/21
60 ? 56/45 56/45 56/45
61 5/4 5/4 5/4 5/4
62 ? 1125/896 125/99 49/39
63 15625/12288 15625/12288 847/675 156/125
64 512/405 512/405 44/35 44/35
65 ? 63/50 63/50 63/50
66 81/64 81/64 14/11 14/11
67 98304/78125 2625/2048 225/176 50/39
68 84375/65536 7168/5625 242/189 104/81
69 32/25 32/25 32/25 32/25
70 ? 9/7 9/7 9/7
71 125/96 125/96 100/77 84/65
72 65536/50625 9375/7168 315/242 135/104
73 ? 2048/1575 176/135 13/10
74 162/125 64/49 55/42 55/42
75 ? 21/16 21/16 21/16
76 675/512 675/512 160/121 120/91
77 4096/3125 4096/3125 968/729 143/108
78 ? 896/675 33/25 33/25
79 4/3 4/3 4/3 4/3
80 ? 75/56 75/56 75/56
81 3125/2304 3125/2304 162/121 35/26
82 8192/6075 8192/6075 121/90 121/90
83 ? 168/125 66/49 65/48
84 27/20 27/20 27/20 27/20
85 ? 175/128 15/11 15/11
86 5625/4096 5625/4096 500/363 125/91
87 512/375 512/375 308/225 260/189
88 ? 48/35 11/8 11/8
89 25/18 25/18 25/18 25/18
90 ? 625/448 168/121 18/13
91 78125/55296 21504/15625 242/175 104/75
92 864/625 864/625 88/63 39/28
93 ? 7/5 7/5 7/5
94 45/32 45/32 45/32 45/32
95 65536/46875 4375/3072 125/88 125/88
96 46875/32768 6144/4375 176/125 176/125
97 64/45 64/45 64/45 64/45
98 ? 10/7 10/7 10/7
99 625/432 625/432 63/44 56/39
100 ? 15625/10752 175/121 75/52
101 ? 896/625 121/84 13/9
102 36/25 36/25 36/25 36/25
103 ? 35/24 16/11 16/11
104 375/256 375/256 225/154 189/130
105 8192/5625 8192/5625 363/250 143/98
106 ? 256/175 22/15 22/15
107 40/27 40/27 40/27 40/27
108 ? 125/84 49/33 49/33
109 6075/4096 6075/4096 180/121 135/91
110 4608/3125 4608/3125 121/81 52/35
111 ? 112/75 112/75 112/75
112 3/2 3/2 3/2 3/2
113 ? 675/448 50/33 50/33
114 3125/2048 3125/2048 729/484 169/112
115 1024/675 1024/675 121/80 91/60
116 ? 32/21 32/21 32/21
117 125/81 49/32 49/32 49/32
118 ? 1575/1024 135/88 20/13
119 50625/32768 14336/9375 375/242 169/110
120 192/125 192/125 77/50 65/42
121 ? 14/9 14/9 14/9
122 25/16 25/16 25/16 25/16
123 ? 5625/3584 189/121 81/52
124 78125/49152 4096/2625 352/225 39/25
125 128/81 128/81 11/7 11/7
126 ? 63/40 63/40 63/40
127 405/256 405/256 35/22 35/22
128 24576/15625 13125/8192 1125/704 125/78
129 ? 1792/1125 198/125 78/49
130 8/5 8/5 8/5 8/5
131 ? 45/28 45/28 45/28
132 625/384 625/384 125/77 21/13
133 16384/10125 16384/10125 121/75 121/75
134 ? 512/315 44/27 13/8
135 81/50 49/30 49/30 49/30
136 ? 105/64 18/11 18/11
137 3375/2048 3375/2048 200/121 150/91
138 1024/625 1024/625 242/147 104/63
139 ? 224/135 33/20 33/20
140 5/3 5/3 5/3 5/3
141 ? 375/224 147/88 108/65
142 15625/9216 15625/9216 405/242 175/104
143 2048/1215 2048/1215 121/72 91/54
144 ? 42/25 42/25 42/25
145 27/16 27/16 27/16 22/13
146 ? 875/512 75/44 75/44
147 28125/16384 28125/16384 625/363 143/84
148 128/75 128/75 77/45 77/45
149 ? 12/7 12/7 12/7
150 125/72 125/72 125/72 112/65
151 ? 3125/1792 210/121 45/26
152 ? 5376/3125 121/70 26/15
153 216/125 216/125 110/63 110/63
154 ? 7/4 7/4 7/4
155 225/128 225/128 135/77 135/77
156 16384/9375 16384/9375 625/352 143/81
157 ? 1536/875 44/25 44/25
158 16/9 16/9 16/9 16/9
159 ? 25/14 25/14 25/14
160 3125/1728 3125/1728 216/121 70/39
161 27648/15625 27648/15625 242/135 143/80
162 ? 224/125 88/49 65/36
163 9/5 9/5 9/5 9/5
164 ? 175/96 20/11 20/11
165 1875/1024 1875/1024 441/242 189/104
166 2048/1125 2048/1125 363/200 91/50
167 ? 64/35 11/6 11/6
168 50/27 50/27 50/27 50/27
169 ? 625/336 81/44 24/13
170 30375/16384 28672/15625 225/121 225/121
171 1152/625 1152/625 231/125 13/7
172 ? 28/15 28/15 28/15
173 15/8 15/8 15/8 15/8
174 ? 3375/1792 125/66 49/26
175 15625/8192 8192/4375 704/375 234/125
176 256/135 256/135 66/35 66/35
177 ? 40/21 40/21 40/21
178 243/128 243/128 21/11 21/11
179 ? 7875/4096 675/352 25/13
180 ? 3584/1875 121/63 52/27
181 48/25 48/25 48/25 48/25
182 ? 27/14 27/14 27/14
183 125/64 125/64 125/64 125/64
184 32768/16875 28125/14336 242/125 242/125
185 ? 1024/525 88/45 39/20
186 160/81 49/25 49/25 49/25
187 ? 63/32 63/32 63/32
188 2025/1024 2025/1024 175/88 175/88
189 6144/3125 6144/3125 484/243 143/72
190 ? 448/225 99/50 99/50
191 2/1 2/1 2/1 2/1