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