189edo

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189edo uses a step size of 6.3492063492063 cents, and is a commatonal EDO. It can be thought of as nine sets of 21edo. Divisors are {{#rreplace: 189 63 27 21 9 7 3 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 7-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 2048/2025 245/243 176/175 176/175
2 ? 225/224 100/99 91/90
3 ? 64/63 64/63 64/63
4 32805/32768 686/675 55/54 55/54
5 81/80 50/49 50/49 50/49
6 128/125 49/48 49/48 49/48
7 20480/19683 3645/3584 45/44 40/39
8 ? 36/35 36/35 36/35
9 ? 28/27 28/27 28/27
10 6561/6400 405/392 80/77 26/25
11 25/24 25/24 25/24 25/24
12 256/243 256/243 22/21 22/21
13 ? 360/343 288/275 245/234
14 ? 21/20 21/20 21/20
15 ? 343/324 81/77 52/49
16 135/128 135/128 35/33 35/33
17 16/15 16/15 16/15 16/15
18 32768/30375 729/686 77/72 77/72
19 ? 15/14 15/14 15/14
20 ? 175/162 175/162 175/162
21 2187/2048 2187/2048 88/81 13/12
22 27/25 27/25 27/25 27/25
23 800/729 49/45 49/45 49/45
24 65536/59049 243/224 12/11 12/11
25 ? 35/32 35/32 35/32
26 ? 448/405 11/10 11/10
27 1125/1024 54/49 54/49 54/49
28 10/9 10/9 10/9 10/9
29 4096/3645 2401/2160 243/220 39/35
30 ? 125/112 49/44 49/44
31 ? 28/25 28/25 28/25
32 18225/16384 1372/1215 275/243 175/156
33 9/8 9/8 9/8 9/8
34 256/225 245/216 198/175 198/175
35 ? 1944/1715 25/22 25/22
36 ? 8/7 8/7 8/7
37 ? 280/243 55/48 55/48
38 729/640 225/196 63/55 52/45
39 125/108 125/108 125/108 125/108
40 2560/2187 784/675 140/121 15/13
41 ? 81/70 64/55 64/55
42 ? 7/6 7/6 7/6
43 59049/51200 1715/1458 88/75 88/75
44 75/64 75/64 75/64 75/64
45 32/27 32/27 32/27 13/11
46 65536/54675 405/343 324/275 208/175
47 ? 25/21 25/21 25/21
48 ? 343/288 144/121 108/91
49 1215/1024 1215/1024 105/88 65/54
50 6/5 6/5 6/5 6/5
51 4096/3375 98/81 77/64 77/64
52 ? 135/112 40/33 40/33
53 ? 128/105 128/105 128/105
54 19683/16384 896/729 11/9 11/9
55 243/200 60/49 60/49 60/49
56 100/81 49/40 49/40 49/40
57 8192/6561 2187/1792 27/22 16/13
58 ? 216/175 216/175 216/175
59 ? 56/45 56/45 56/45
60 10125/8192 243/196 96/77 96/77
61 5/4 5/4 5/4 5/4
62 512/405 512/405 44/35 44/35
63 ? 432/343 121/96 49/39
64 ? 63/50 63/50 63/50
65 ? 343/270 275/216 275/216
66 81/64 81/64 14/11 14/11
67 32/25 32/25 32/25 32/25
68 25600/19683 1568/1215 77/60 50/39
69 ? 9/7 9/7 9/7
70 ? 35/27 35/27 35/27
71 6561/5120 2025/1568 100/77 13/10
72 125/96 64/49 64/49 64/49
73 320/243 98/75 55/42 55/42
74 ? 450/343 72/55 72/55
75 ? 21/16 21/16 21/16
76 ? 896/675 33/25 33/25
77 675/512 324/245 175/132 175/132
78 4/3 4/3 4/3 4/3
79 8192/6075 980/729 385/288 234/175
80 ? 75/56 75/56 75/56
81 ? 168/125 66/49 66/49
82 10935/8192 2744/2025 110/81 35/26
83 27/20 27/20 27/20 27/20
84 512/375 49/36 49/36 49/36
85 81920/59049 1215/896 15/11 15/11
86 ? 48/35 48/35 48/35
87 ? 112/81 11/8 11/8
88 2187/1600 135/98 135/98 104/75
89 25/18 25/18 25/18 25/18
90 1024/729 1024/729 88/63 18/13
91 ? 243/175 243/175 243/175
92 ? 7/5 7/5 7/5
93 91125/65536 343/243 108/77 108/77
94 45/32 45/32 45/32 45/32
95 64/45 64/45 64/45 64/45
96 ? 486/343 77/54 77/54
97 ? 10/7 10/7 10/7
98 ? 343/240 275/192 275/192
99 729/512 729/512 63/44 13/9
100 36/25 36/25 36/25 36/25
101 3200/2187 196/135 175/121 75/52
102 ? 81/56 16/11 16/11
103 ? 35/24 35/24 35/24
104 59049/40960 1792/1215 22/15 22/15
105 375/256 72/49 72/49 72/49
106 40/27 40/27 40/27 40/27
107 16384/10935 2025/1372 81/55 52/35
108 ? 125/84 49/33 49/33
109 ? 112/75 112/75 112/75
110 6075/4096 729/490 525/352 175/117
111 3/2 3/2 3/2 3/2
112 1024/675 245/162 245/162 245/162
113 ? 675/448 50/33 50/33
114 ? 32/21 32/21 32/21
115 98415/65536 343/225 55/36 55/36
116 243/160 75/49 75/49 75/49
117 125/81 49/32 49/32 49/32
118 10240/6561 3136/2025 77/50 20/13
119 ? 54/35 54/35 54/35
120 ? 14/9 14/9 14/9
121 19683/12800 1215/784 120/77 39/25
122 25/16 25/16 25/16 25/16
123 128/81 128/81 11/7 11/7
124 ? 540/343 385/243 245/156
125 ? 63/40 63/40 63/40
126 ? 343/216 192/121 78/49
127 405/256 405/256 35/22 35/22
128 8/5 8/5 8/5 8/5
129 16384/10125 392/243 77/48 77/48
130 ? 45/28 45/28 45/28
131 ? 175/108 175/108 175/108
132 6561/4096 3584/2187 44/27 13/8
133 81/50 80/49 80/49 80/49
134 400/243 49/30 49/30 49/30
135 32768/19683 729/448 18/11 18/11
136 ? 105/64 105/64 105/64
137 ? 224/135 33/20 33/20
138 3375/2048 81/49 81/49 81/49
139 5/3 5/3 5/3 5/3
140 2048/1215 1225/729 176/105 108/65
141 ? 375/224 121/72 91/54
142 ? 42/25 42/25 42/25
143 54675/32768 686/405 275/162 175/104
144 27/16 27/16 27/16 22/13
145 128/75 128/75 128/75 128/75
146 ? 2916/1715 75/44 75/44
147 ? 12/7 12/7 12/7
148 ? 140/81 55/32 55/32
149 2187/1280 675/392 121/70 26/15
150 125/72 125/72 125/72 125/72
151 1280/729 392/225 110/63 45/26
152 ? 243/140 96/55 96/55
153 ? 7/4 7/4 7/4
154 ? 1715/972 44/25 44/25
155 225/128 225/128 175/99 175/99
156 16/9 16/9 16/9 16/9
157 32768/18225 1215/686 385/216 312/175
158 ? 25/14 25/14 25/14
159 ? 224/125 88/49 88/49
160 3645/2048 2187/1225 315/176 65/36
161 9/5 9/5 9/5 9/5
162 2048/1125 49/27 49/27 49/27
163 ? 405/224 20/11 20/11
164 ? 64/35 64/35 64/35
165 59049/32768 448/243 11/6 11/6
166 729/400 90/49 90/49 90/49
167 50/27 50/27 50/27 50/27
168 4096/2187 2401/1296 81/44 13/7
169 ? 324/175 245/132 245/132
170 ? 28/15 28/15 28/15
171 30375/16384 729/392 144/77 144/77
172 15/8 15/8 15/8 15/8
173 256/135 256/135 66/35 66/35
174 ? 648/343 121/64 49/26
175 ? 40/21 40/21 40/21
176 ? 343/180 275/144 275/144
177 243/128 243/128 21/11 21/11
178 48/25 48/25 48/25 48/25
179 12800/6561 784/405 77/40 25/13
180 ? 27/14 27/14 27/14
181 ? 35/18 35/18 35/18
182 19683/10240 6075/3136 88/45 39/20
183 125/64 96/49 96/49 96/49
184 160/81 49/25 49/25 49/25
185 65536/32805 675/343 108/55 108/55
186 ? 63/32 63/32 63/32
187 ? 448/225 99/50 99/50
188 2025/1024 486/245 175/88 175/88
189 2/1 2/1 2/1 2/1