180edo

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180edo is a commatonal EDO, uses a step size of 6.6666666666667 cents. It can be thought of as twelve sets of 15edo. Divisors are {{#rreplace: 180 90 60 45 36 30 20 18 15 12 10 9 6 5 4 3 2 1|/(\d+)(\D+)?/|\1\2}}. It is consistent in the 7-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 78125/78732 126/125 126/125 126/125
2 81/80 81/80 81/80 81/80
3 15625/15552 245/243 99/98 78/77
4 2048/2025 686/675 56/55 56/55
5 3125/3072 49/48 45/44 45/44
6 128/125 50/49 50/49 50/49
7 16875/16384 36/35 36/35 36/35
8 648/625 405/392 33/32 33/32
9 250/243 250/243 126/121 27/26
10 6561/6250 28/27 28/27 26/25
11 25/24 25/24 25/24 25/24
12 16384/15625 21/20 21/20 21/20
13 135/128 135/128 22/21 22/21
14 82944/78125 1296/1225 128/121 96/91
15 256/243 256/243 35/33 35/33
16 78125/73728 200/189 200/189 52/49
17 16/15 16/15 16/15 16/15
18 62500/59049 15/14 15/14 15/14
19 27/25 27/25 27/25 14/13
20 3125/2916 243/224 243/224 225/208
21 2187/2000 175/162 121/112 13/12
22 625/576 49/45 12/11 12/11
23 2048/1875 35/32 35/32 35/32
24 1125/1024 192/175 192/175 128/117
25 3456/3125 54/49 11/10 11/10
26 800/729 800/729 484/441 72/65
27 17496/15625 448/405 49/44 49/44
28 10/9 10/9 10/9 10/9
29 ? 28/25 28/25 28/25
30 9/8 9/8 9/8 9/8
31 78125/69984 567/500 55/49 55/49
32 729/640 729/640 112/99 44/39
33 15625/13824 245/216 25/22 25/22
34 256/225 256/225 63/55 63/55
35 9375/8192 8/7 8/7 8/7
36 144/125 144/125 55/48 55/48
37 2500/2187 81/70 81/70 15/13
38 729/625 280/243 121/105 52/45
39 125/108 125/108 64/55 64/55
40 32768/28125 7/6 7/6 7/6
41 75/64 75/64 75/64 75/64
42 18432/15625 189/160 88/75 88/75
43 1215/1024 405/343 33/28 13/11
44 93312/78125 1458/1225 144/121 77/65
45 32/27 32/27 32/27 32/27
46 78125/65536 25/21 25/21 25/21
47 6/5 6/5 6/5 6/5
48 15625/13122 135/112 77/64 77/64
49 243/200 243/200 147/121 63/52
50 3125/2592 98/81 40/33 40/33
51 4096/3375 175/144 175/144 39/32
52 625/512 49/40 27/22 27/22
53 768/625 60/49 11/9 11/9
54 8000/6561 216/175 154/125 16/13
55 3888/3125 243/196 99/80 99/80
56 100/81 100/81 100/81 26/21
57 19683/15625 56/45 56/45 56/45
58 5/4 5/4 5/4 5/4
59 98304/78125 63/50 63/50 49/39
60 81/64 81/64 44/35 44/35
61 78125/62208 1225/972 121/96 91/72
62 512/405 343/270 14/11 14/11
63 15625/12288 80/63 80/63 80/63
64 32/25 32/25 32/25 32/25
65 25000/19683 9/7 9/7 9/7
66 162/125 162/125 162/125 84/65
67 625/486 625/486 128/99 128/99
68 6561/5000 35/27 35/27 13/10
69 125/96 98/75 72/55 72/55
70 4096/3125 21/16 21/16 21/16
71 675/512 450/343 55/42 55/42
72 20736/15625 324/245 33/25 33/25
73 320/243 320/243 175/132 117/88
74 ? 250/189 147/110 65/49
75 4/3 4/3 4/3 4/3
76 78125/59049 75/56 75/56 75/56
77 27/20 27/20 27/20 27/20
78 15625/11664 980/729 66/49 66/49
79 2187/1600 875/648 224/165 65/48
80 3125/2304 49/36 15/11 15/11
81 512/375 175/128 110/81 110/81
82 5625/4096 48/35 48/35 48/35
83 864/625 135/98 11/8 11/8
84 1000/729 243/175 168/121 18/13
85 4374/3125 112/81 112/81 104/75
86 25/18 25/18 25/18 25/18
87 65536/46875 7/5 7/5 7/5
88 45/32 45/32 45/32 45/32
89 ? 567/400 176/125 128/91
90 729/512 343/243 99/70 55/39
91 78125/55296 800/567 125/88 91/64
92 64/45 64/45 63/44 63/44
93 46875/32768 10/7 10/7 10/7
94 36/25 36/25 36/25 36/25
95 3125/2187 81/56 81/56 75/52
96 729/500 350/243 121/84 13/9
97 625/432 196/135 16/11 16/11
98 8192/5625 35/24 35/24 35/24
99 375/256 147/100 81/55 81/55
100 4608/3125 72/49 22/15 22/15
101 3200/2187 1296/875 165/112 65/44
102 23328/15625 729/490 49/33 49/33
103 40/27 40/27 40/27 40/27
104 ? 112/75 112/75 112/75
105 3/2 3/2 3/2 3/2
106 78125/52488 189/125 121/81 98/65
107 243/160 243/160 243/160 169/112
108 15625/10368 245/162 50/33 50/33
109 1024/675 343/225 84/55 84/55
110 3125/2048 32/21 32/21 32/21
111 192/125 75/49 55/36 55/36
112 10000/6561 54/35 54/35 20/13
113 972/625 972/625 99/64 99/64
114 125/81 125/81 125/81 65/42
115 19683/12500 14/9 14/9 14/9
116 25/16 25/16 25/16 25/16
117 24576/15625 63/40 63/40 63/40
118 405/256 405/256 11/7 11/7
119 ? 1944/1225 192/121 144/91
120 128/81 128/81 35/22 35/22
121 78125/49152 100/63 100/63 78/49
122 8/5 8/5 8/5 8/5
123 31250/19683 45/28 45/28 45/28
124 81/50 81/50 81/50 21/13
125 3125/1944 392/243 121/75 121/75
126 6561/4000 175/108 125/77 13/8
127 625/384 49/30 18/11 18/11
128 1024/625 80/49 44/27 44/27
129 3375/2048 288/175 275/168 64/39
130 5184/3125 81/49 33/20 33/20
131 400/243 400/243 242/147 104/63
132 26244/15625 224/135 128/77 128/77
133 5/3 5/3 5/3 5/3
134 ? 42/25 42/25 42/25
135 27/16 27/16 27/16 27/16
136 78125/46656 1225/729 121/72 91/54
137 2048/1215 686/405 56/33 22/13
138 15625/9216 245/144 75/44 75/44
139 128/75 128/75 128/75 128/75
140 28125/16384 12/7 12/7 12/7
141 216/125 216/125 55/32 55/32
142 1250/729 243/140 210/121 45/26
143 2187/1250 140/81 121/70 26/15
144 125/72 125/72 96/55 96/55
145 16384/9375 7/4 7/4 7/4
146 225/128 225/128 110/63 110/63
147 27648/15625 432/245 44/25 44/25
148 1280/729 1215/686 99/56 39/22
149 ? 1000/567 98/55 98/55
150 16/9 16/9 16/9 16/9
151 ? 25/14 25/14 25/14
152 9/5 9/5 9/5 9/5
153 15625/8748 405/224 88/49 88/49
154 729/400 729/400 441/242 65/36
155 3125/1728 49/27 20/11 20/11
156 2048/1125 175/96 175/96 117/64
157 1875/1024 64/35 64/35 64/35
158 1152/625 90/49 11/6 11/6
159 4000/2187 324/175 224/121 24/13
160 5832/3125 448/243 225/121 225/121
161 50/27 50/27 50/27 13/7
162 59049/31250 28/15 28/15 28/15
163 15/8 15/8 15/8 15/8
164 ? 189/100 189/100 49/26
165 243/128 243/128 66/35 66/35
166 78125/41472 1225/648 121/64 91/48
167 256/135 256/135 21/11 21/11
168 15625/8192 40/21 40/21 40/21
169 48/25 48/25 48/25 48/25
170 12500/6561 27/14 27/14 25/13
171 243/125 243/125 121/63 52/27
172 625/324 625/324 64/33 64/33
173 19683/10000 35/18 35/18 35/18
174 125/64 49/25 49/25 49/25
175 6144/3125 63/32 63/32 63/32
176 2025/1024 675/343 55/28 55/28
177 31104/15625 486/245 99/50 77/39
178 160/81 160/81 160/81 160/81
179 ? 125/63 125/63 125/63
180 2/1 2/1 2/1 2/1