168edo
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168edo is a commatonal EDO, uses a step size of 7.1005917159763 cents. It can be thought of as fourteen sets of 12edo. Divisors are {{#rreplace: 168 84 56 42 28 24 21 14 12 8 7 6 4 3 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent in the 5-odd-limit. It is contorted in 3-limit, 5-limit and 7-limit.
Step | Five limit | Seven limit | Eleven limit | Thirteen limit |
1 | ? | ? | 99/98 | 99/98 |
2 | 81/80 | 81/80 | 81/80 | 81/80 |
3 | ? | ? | 100/99 | 66/65 |
4 | 2048/2025 | 50/49 | 50/49 | 50/49 |
5 | ? | ? | 45/44 | 45/44 |
6 | 128/125 | 36/35 | 36/35 | 36/35 |
7 | ? | ? | 33/32 | 33/32 |
8 | 250/243 | 250/243 | 125/121 | 27/26 |
9 | ? | ? | 80/77 | 80/77 |
10 | 25/24 | 25/24 | 25/24 | 25/24 |
11 | ? | ? | 22/21 | 22/21 |
12 | 135/128 | 21/20 | 21/20 | 21/20 |
13 | ? | ? | 132/125 | 55/52 |
14 | 256/243 | 200/189 | 128/121 | 52/49 |
15 | ? | ? | 35/33 | 35/33 |
16 | 16/15 | 15/14 | 15/14 | 15/14 |
17 | ? | ? | 77/72 | 77/72 |
18 | 27/25 | 27/25 | 27/25 | 14/13 |
19 | ? | ? | 250/231 | 99/91 |
20 | 625/576 | 160/147 | 160/147 | 13/12 |
21 | ? | ? | 12/11 | 12/11 |
22 | 1125/1024 | 35/32 | 35/32 | 35/32 |
23 | ? | ? | 11/10 | 11/10 |
24 | 800/729 | 441/400 | 400/363 | 72/65 |
25 | ? | ? | 256/231 | 182/165 |
26 | 10/9 | 10/9 | 10/9 | 10/9 |
27 | ? | ? | 49/44 | 49/44 |
28 | 9/8 | 9/8 | 9/8 | 9/8 |
29 | ? | ? | 198/175 | 44/39 |
30 | 729/640 | 500/441 | 363/320 | 91/81 |
31 | ? | ? | 25/22 | 25/22 |
32 | 256/225 | 8/7 | 8/7 | 8/7 |
33 | ? | ? | 55/48 | 55/48 |
34 | 144/125 | 81/70 | 81/70 | 15/13 |
35 | ? | ? | 231/200 | 231/200 |
36 | 125/108 | 125/108 | 125/108 | 52/45 |
37 | ? | ? | 64/55 | 64/55 |
38 | 75/64 | 7/6 | 7/6 | 7/6 |
39 | ? | ? | 33/28 | 33/28 |
40 | 1215/1024 | 147/125 | 147/125 | 108/91 |
41 | ? | ? | 297/250 | 13/11 |
42 | 32/27 | 25/21 | 25/21 | 25/21 |
43 | ? | ? | 105/88 | 105/88 |
44 | 6/5 | 6/5 | 6/5 | 6/5 |
45 | ? | ? | 77/64 | 77/64 |
46 | 243/200 | 243/200 | 121/100 | 63/52 |
47 | ? | ? | 40/33 | 40/33 |
48 | 625/512 | 60/49 | 60/49 | 39/32 |
49 | ? | ? | 11/9 | 11/9 |
50 | 768/625 | 49/40 | 49/40 | 16/13 |
51 | ? | ? | 99/80 | 99/80 |
52 | 100/81 | 100/81 | 100/81 | 26/21 |
53 | ? | ? | 96/77 | 96/77 |
54 | 5/4 | 5/4 | 5/4 | 5/4 |
55 | ? | ? | 44/35 | 44/35 |
56 | 81/64 | 63/50 | 63/50 | 49/39 |
57 | ? | ? | 125/99 | 33/26 |
58 | 512/405 | 80/63 | 80/63 | 80/63 |
59 | ? | ? | 14/11 | 14/11 |
60 | 32/25 | 9/7 | 9/7 | 9/7 |
61 | ? | ? | 77/60 | 77/60 |
62 | 162/125 | 162/125 | 162/125 | 84/65 |
63 | ? | ? | 100/77 | 100/77 |
64 | 125/96 | 35/27 | 35/27 | 13/10 |
65 | ? | ? | 55/42 | 55/42 |
66 | 675/512 | 21/16 | 21/16 | 21/16 |
67 | ? | ? | 33/25 | 33/25 |
68 | 320/243 | 250/189 | 160/121 | 65/49 |
69 | ? | ? | 175/132 | 117/88 |
70 | 4/3 | 4/3 | 4/3 | 4/3 |
71 | ? | ? | 66/49 | 66/49 |
72 | 27/20 | 27/20 | 27/20 | 27/20 |
73 | ? | ? | 400/297 | 88/65 |
74 | 2187/1600 | 200/147 | 200/147 | 65/48 |
75 | ? | ? | 15/11 | 15/11 |
76 | 512/375 | 48/35 | 48/35 | 48/35 |
77 | ? | ? | 11/8 | 11/8 |
78 | 864/625 | 243/175 | 242/175 | 18/13 |
79 | ? | ? | 320/231 | 91/66 |
80 | 25/18 | 25/18 | 25/18 | 25/18 |
81 | ? | ? | 88/63 | 88/63 |
82 | 45/32 | 7/5 | 7/5 | 7/5 |
83 | ? | ? | 99/70 | 55/39 |
84 | 729/512 | 567/400 | 363/256 | 147/104 |
85 | ? | ? | 125/88 | 78/55 |
86 | 64/45 | 10/7 | 10/7 | 10/7 |
87 | ? | ? | 63/44 | 63/44 |
88 | 36/25 | 36/25 | 36/25 | 36/25 |
89 | ? | ? | 231/160 | 132/91 |
90 | 625/432 | 350/243 | 175/121 | 13/9 |
91 | ? | ? | 16/11 | 16/11 |
92 | 375/256 | 35/24 | 35/24 | 35/24 |
93 | ? | ? | 22/15 | 22/15 |
94 | 3200/2187 | 147/100 | 147/100 | 96/65 |
95 | ? | ? | 297/200 | 65/44 |
96 | 40/27 | 40/27 | 40/27 | 40/27 |
97 | ? | ? | 49/33 | 49/33 |
98 | 3/2 | 3/2 | 3/2 | 3/2 |
99 | ? | ? | 264/175 | 176/117 |
100 | 243/160 | 189/125 | 121/80 | 98/65 |
101 | ? | ? | 50/33 | 50/33 |
102 | 1024/675 | 32/21 | 32/21 | 32/21 |
103 | ? | ? | 55/36 | 55/36 |
104 | 192/125 | 49/32 | 49/32 | 20/13 |
105 | ? | ? | 77/50 | 77/50 |
106 | 125/81 | 125/81 | 125/81 | 65/42 |
107 | ? | ? | 120/77 | 120/77 |
108 | 25/16 | 14/9 | 14/9 | 14/9 |
109 | ? | ? | 11/7 | 11/7 |
110 | 405/256 | 63/40 | 63/40 | 63/40 |
111 | ? | ? | 198/125 | 52/33 |
112 | 128/81 | 100/63 | 100/63 | 78/49 |
113 | ? | ? | 35/22 | 35/22 |
114 | 8/5 | 8/5 | 8/5 | 8/5 |
115 | ? | ? | 77/48 | 77/48 |
116 | 81/50 | 81/50 | 81/50 | 21/13 |
117 | ? | ? | 125/77 | 125/77 |
118 | 625/384 | 80/49 | 80/49 | 13/8 |
119 | ? | ? | 18/11 | 18/11 |
120 | 1024/625 | 49/30 | 49/30 | 49/30 |
121 | ? | ? | 33/20 | 33/20 |
122 | 400/243 | 400/243 | 200/121 | 104/63 |
123 | ? | ? | 128/77 | 91/55 |
124 | 5/3 | 5/3 | 5/3 | 5/3 |
125 | ? | ? | 147/88 | 147/88 |
126 | 27/16 | 27/16 | 27/16 | 27/16 |
127 | ? | ? | 297/175 | 22/13 |
128 | 2048/1215 | 250/147 | 250/147 | 91/54 |
129 | ? | ? | 56/33 | 56/33 |
130 | 128/75 | 12/7 | 12/7 | 12/7 |
131 | ? | ? | 55/32 | 55/32 |
132 | 216/125 | 216/125 | 121/70 | 45/26 |
133 | ? | ? | 400/231 | 400/231 |
134 | 125/72 | 125/72 | 125/72 | 26/15 |
135 | ? | ? | 96/55 | 96/55 |
136 | 225/128 | 7/4 | 7/4 | 7/4 |
137 | ? | ? | 44/25 | 44/25 |
138 | 1280/729 | 441/250 | 441/250 | 162/91 |
139 | ? | ? | 175/99 | 39/22 |
140 | 16/9 | 16/9 | 16/9 | 16/9 |
141 | ? | ? | 88/49 | 88/49 |
142 | 9/5 | 9/5 | 9/5 | 9/5 |
143 | ? | ? | 231/128 | 165/91 |
144 | 729/400 | 625/343 | 363/200 | 65/36 |
145 | ? | ? | 20/11 | 20/11 |
146 | 1875/1024 | 49/27 | 49/27 | 49/27 |
147 | ? | ? | 11/6 | 11/6 |
148 | 1152/625 | 147/80 | 147/80 | 24/13 |
149 | ? | ? | 231/125 | 182/99 |
150 | 50/27 | 50/27 | 50/27 | 13/7 |
151 | ? | ? | 144/77 | 144/77 |
152 | 15/8 | 15/8 | 15/8 | 15/8 |
153 | ? | ? | 66/35 | 66/35 |
154 | 243/128 | 189/100 | 121/64 | 49/26 |
155 | ? | ? | 125/66 | 99/52 |
156 | 256/135 | 40/21 | 40/21 | 40/21 |
157 | ? | ? | 21/11 | 21/11 |
158 | 48/25 | 27/14 | 27/14 | 25/13 |
159 | ? | ? | 77/40 | 77/40 |
160 | 243/125 | 243/125 | 242/125 | 52/27 |
161 | ? | ? | 64/33 | 64/33 |
162 | 125/64 | 35/18 | 35/18 | 35/18 |
163 | ? | ? | 55/28 | 55/28 |
164 | 2025/1024 | 49/25 | 49/25 | 49/25 |
165 | ? | ? | 99/50 | 65/33 |
166 | 160/81 | 125/63 | 125/63 | 125/63 |
167 | ? | ? | 175/88 | 143/72 |
168 | 2/1 | 2/1 | 2/1 | 2/1 |