216edo
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216edo uses a step size of 5.5555555555556 cents, and is a commatonal EDO. It can be thought of as twelve sets of 18edo. Divisors are {{#rreplace: 216 108 72 54 36 27 24 18 12 9 8 6 4 3 2 1|/(\d+)(\D+)?/|\1\2}}. It is not consistent in the 5-odd-limit. It is contorted in 7-limit.
Step | Five limit | Seven limit | Eleven limit | Thirteen limit |
1 | ? | ? | 176/175 | 176/175 |
2 | 81/80 | 81/80 | 81/80 | 81/80 |
3 | ? | ? | 99/98 | 91/90 |
4 | 2048/2025 | 245/243 | 245/242 | 66/65 |
5 | ? | ? | 56/55 | 56/55 |
6 | 128/125 | 49/48 | 49/48 | 49/48 |
7 | ? | ? | 45/44 | 45/44 |
8 | 648/625 | 36/35 | 36/35 | 36/35 |
9 | ? | ? | 33/32 | 33/32 |
10 | 6561/6250 | 405/392 | 363/350 | 91/88 |
11 | ? | ? | 343/330 | 26/25 |
12 | 250/243 | 28/27 | 28/27 | 28/27 |
13 | ? | ? | 80/77 | 80/77 |
14 | 25/24 | 21/20 | 21/20 | 21/20 |
15 | ? | ? | 22/21 | 22/21 |
16 | 135/128 | 135/128 | 135/128 | 104/99 |
17 | ? | ? | 297/280 | 96/91 |
18 | 256/243 | 256/243 | 128/121 | 55/52 |
19 | ? | ? | 35/33 | 35/33 |
20 | 16/15 | 16/15 | 16/15 | 16/15 |
21 | ? | ? | 77/72 | 77/72 |
22 | 27/25 | 15/14 | 15/14 | 15/14 |
23 | ? | ? | 264/245 | 14/13 |
24 | 2187/2000 | 243/224 | 121/112 | 121/112 |
25 | ? | ? | 320/297 | 13/12 |
26 | 2048/1875 | 49/45 | 49/45 | 49/45 |
27 | ? | ? | 12/11 | 12/11 |
28 | 625/576 | 35/32 | 35/32 | 35/32 |
29 | ? | ? | 11/10 | 11/10 |
30 | 1125/1024 | 54/49 | 54/49 | 54/49 |
31 | ? | ? | 495/448 | 72/65 |
32 | 800/729 | 448/405 | 400/363 | 195/176 |
33 | ? | ? | 49/44 | 39/35 |
34 | 10/9 | 10/9 | 10/9 | 10/9 |
35 | ? | ? | 352/315 | 352/315 |
36 | 9/8 | 9/8 | 9/8 | 9/8 |
37 | ? | ? | 55/49 | 55/49 |
38 | 729/640 | 729/640 | 363/320 | 44/39 |
39 | ? | ? | 112/99 | 91/80 |
40 | 256/225 | 245/216 | 245/216 | 143/125 |
41 | ? | ? | 25/22 | 25/22 |
42 | 144/125 | 8/7 | 8/7 | 8/7 |
43 | ? | ? | 55/48 | 55/48 |
44 | 729/625 | 81/70 | 81/70 | 81/70 |
45 | ? | ? | 297/256 | 15/13 |
46 | 2500/2187 | 280/243 | 140/121 | 140/121 |
47 | ? | ? | 64/55 | 64/55 |
48 | 125/108 | 7/6 | 7/6 | 7/6 |
49 | ? | ? | 88/75 | 88/75 |
50 | 75/64 | 75/64 | 75/64 | 75/64 |
51 | ? | ? | 33/28 | 33/28 |
52 | 1215/1024 | 405/343 | 405/343 | 13/11 |
53 | ? | ? | 196/165 | 108/91 |
54 | 32/27 | 32/27 | 32/27 | 32/27 |
55 | ? | ? | 105/88 | 105/88 |
56 | 6/5 | 6/5 | 6/5 | 6/5 |
57 | ? | ? | 77/64 | 77/64 |
58 | 243/200 | 135/112 | 121/100 | 121/100 |
59 | ? | ? | 297/245 | 63/52 |
60 | 4096/3375 | 98/81 | 98/81 | 98/81 |
61 | ? | ? | 40/33 | 39/32 |
62 | 768/625 | 49/40 | 49/40 | 49/40 |
63 | ? | ? | 11/9 | 11/9 |
64 | 625/512 | 60/49 | 60/49 | 60/49 |
65 | ? | ? | 99/80 | 16/13 |
66 | 8000/6561 | 243/196 | 121/98 | 121/98 |
67 | ? | ? | 245/198 | 26/21 |
68 | 100/81 | 56/45 | 56/45 | 56/45 |
69 | ? | ? | 96/77 | 96/77 |
70 | 5/4 | 5/4 | 5/4 | 5/4 |
71 | ? | ? | 44/35 | 44/35 |
72 | 81/64 | 81/64 | 81/64 | 81/64 |
73 | ? | ? | 495/392 | 91/72 |
74 | 512/405 | 343/270 | 343/270 | 33/26 |
75 | ? | ? | 14/11 | 14/11 |
76 | 32/25 | 32/25 | 32/25 | 32/25 |
77 | ? | ? | 77/60 | 77/60 |
78 | 162/125 | 9/7 | 9/7 | 9/7 |
79 | ? | ? | 165/128 | 50/39 |
80 | 6561/5000 | 729/560 | 363/280 | 352/273 |
81 | ? | ? | 128/99 | 13/10 |
82 | 625/486 | 35/27 | 35/27 | 35/27 |
83 | ? | ? | 72/55 | 72/55 |
84 | 125/96 | 21/16 | 21/16 | 21/16 |
85 | ? | ? | 33/25 | 33/25 |
86 | 675/512 | 324/245 | 324/245 | 130/99 |
87 | ? | ? | 297/224 | 120/91 |
88 | 320/243 | 320/243 | 160/121 | 117/88 |
89 | ? | ? | 147/110 | 65/49 |
90 | 4/3 | 4/3 | 4/3 | 4/3 |
91 | ? | ? | 385/288 | 385/288 |
92 | 27/20 | 27/20 | 27/20 | 27/20 |
93 | ? | ? | 66/49 | 35/26 |
94 | 2187/1600 | 980/729 | 490/363 | 88/65 |
95 | ? | ? | 224/165 | 65/48 |
96 | 512/375 | 49/36 | 49/36 | 49/36 |
97 | ? | ? | 15/11 | 15/11 |
98 | 864/625 | 48/35 | 48/35 | 48/35 |
99 | ? | ? | 11/8 | 11/8 |
100 | 4374/3125 | 135/98 | 135/98 | 91/66 |
101 | ? | ? | 686/495 | 18/13 |
102 | 1000/729 | 112/81 | 112/81 | 112/81 |
103 | ? | ? | 245/176 | 39/28 |
104 | 25/18 | 7/5 | 7/5 | 7/5 |
105 | ? | ? | 88/63 | 88/63 |
106 | 45/32 | 45/32 | 45/32 | 45/32 |
107 | ? | ? | 99/70 | 99/70 |
108 | 729/512 | 343/243 | 343/242 | 55/39 |
109 | ? | ? | 140/99 | 91/64 |
110 | 64/45 | 64/45 | 64/45 | 64/45 |
111 | ? | ? | 63/44 | 63/44 |
112 | 36/25 | 10/7 | 10/7 | 10/7 |
113 | ? | ? | 231/160 | 56/39 |
114 | 729/500 | 81/56 | 81/56 | 81/56 |
115 | ? | ? | 495/343 | 13/9 |
116 | 3125/2187 | 196/135 | 175/121 | 132/91 |
117 | ? | ? | 16/11 | 16/11 |
118 | 625/432 | 35/24 | 35/24 | 35/24 |
119 | ? | ? | 22/15 | 22/15 |
120 | 375/256 | 72/49 | 72/49 | 72/49 |
121 | ? | ? | 165/112 | 96/65 |
122 | 3200/2187 | 729/490 | 363/245 | 65/44 |
123 | ? | ? | 49/33 | 49/33 |
124 | 40/27 | 40/27 | 40/27 | 40/27 |
125 | ? | ? | 525/352 | 525/352 |
126 | 3/2 | 3/2 | 3/2 | 3/2 |
127 | ? | ? | 220/147 | 98/65 |
128 | 243/160 | 243/160 | 121/80 | 121/80 |
129 | ? | ? | 297/196 | 91/60 |
130 | 1024/675 | 245/162 | 245/162 | 99/65 |
131 | ? | ? | 50/33 | 50/33 |
132 | 192/125 | 32/21 | 32/21 | 32/21 |
133 | ? | ? | 55/36 | 55/36 |
134 | 972/625 | 54/35 | 54/35 | 54/35 |
135 | ? | ? | 99/64 | 20/13 |
136 | 10000/6561 | 1120/729 | 560/363 | 273/176 |
137 | ? | ? | 256/165 | 39/25 |
138 | 125/81 | 14/9 | 14/9 | 14/9 |
139 | ? | ? | 120/77 | 120/77 |
140 | 25/16 | 25/16 | 25/16 | 25/16 |
141 | ? | ? | 11/7 | 11/7 |
142 | 405/256 | 405/256 | 405/256 | 52/33 |
143 | ? | ? | 784/495 | 144/91 |
144 | 128/81 | 128/81 | 128/81 | 128/81 |
145 | ? | ? | 35/22 | 35/22 |
146 | 8/5 | 8/5 | 8/5 | 8/5 |
147 | ? | ? | 77/48 | 77/48 |
148 | 81/50 | 45/28 | 45/28 | 45/28 |
149 | ? | ? | 396/245 | 21/13 |
150 | 6561/4000 | 392/243 | 196/121 | 196/121 |
151 | ? | ? | 160/99 | 13/8 |
152 | 1024/625 | 49/30 | 49/30 | 49/30 |
153 | ? | ? | 18/11 | 18/11 |
154 | 625/384 | 80/49 | 80/49 | 80/49 |
155 | ? | ? | 33/20 | 33/20 |
156 | 3375/2048 | 81/49 | 81/49 | 81/49 |
157 | ? | ? | 490/297 | 104/63 |
158 | 400/243 | 224/135 | 200/121 | 200/121 |
159 | ? | ? | 128/77 | 117/70 |
160 | 5/3 | 5/3 | 5/3 | 5/3 |
161 | ? | ? | 176/105 | 176/105 |
162 | 27/16 | 27/16 | 27/16 | 27/16 |
163 | ? | ? | 165/98 | 91/54 |
164 | 2048/1215 | 686/405 | 686/405 | 22/13 |
165 | ? | ? | 56/33 | 56/33 |
166 | 128/75 | 128/75 | 128/75 | 128/75 |
167 | ? | ? | 75/44 | 75/44 |
168 | 216/125 | 12/7 | 12/7 | 12/7 |
169 | ? | ? | 55/32 | 55/32 |
170 | 2187/1250 | 243/140 | 121/70 | 121/70 |
171 | ? | ? | 343/198 | 26/15 |
172 | 1250/729 | 140/81 | 140/81 | 140/81 |
173 | ? | ? | 96/55 | 96/55 |
174 | 125/72 | 7/4 | 7/4 | 7/4 |
175 | ? | ? | 44/25 | 44/25 |
176 | 225/128 | 225/128 | 225/128 | 169/96 |
177 | ? | ? | 99/56 | 99/56 |
178 | 1280/729 | 1215/686 | 605/343 | 39/22 |
179 | ? | ? | 98/55 | 98/55 |
180 | 16/9 | 16/9 | 16/9 | 16/9 |
181 | ? | ? | 315/176 | 315/176 |
182 | 9/5 | 9/5 | 9/5 | 9/5 |
183 | ? | ? | 88/49 | 70/39 |
184 | 729/400 | 405/224 | 363/200 | 352/195 |
185 | ? | ? | 891/490 | 65/36 |
186 | 2048/1125 | 49/27 | 49/27 | 49/27 |
187 | ? | ? | 20/11 | 20/11 |
188 | 1152/625 | 64/35 | 64/35 | 64/35 |
189 | ? | ? | 11/6 | 11/6 |
190 | 1875/1024 | 90/49 | 90/49 | 90/49 |
191 | ? | ? | 297/160 | 24/13 |
192 | 4000/2187 | 448/243 | 224/121 | 224/121 |
193 | ? | ? | 245/132 | 13/7 |
194 | 50/27 | 28/15 | 28/15 | 28/15 |
195 | ? | ? | 144/77 | 144/77 |
196 | 15/8 | 15/8 | 15/8 | 15/8 |
197 | ? | ? | 66/35 | 49/26 |
198 | 243/128 | 243/128 | 121/64 | 104/55 |
199 | ? | ? | 560/297 | 91/48 |
200 | 256/135 | 256/135 | 256/135 | 99/52 |
201 | ? | ? | 21/11 | 21/11 |
202 | 48/25 | 40/21 | 40/21 | 40/21 |
203 | ? | ? | 77/40 | 77/40 |
204 | 243/125 | 27/14 | 27/14 | 27/14 |
205 | ? | ? | 495/256 | 25/13 |
206 | 12500/6561 | 784/405 | 700/363 | 176/91 |
207 | ? | ? | 64/33 | 39/20 |
208 | 625/324 | 35/18 | 35/18 | 35/18 |
209 | ? | ? | 88/45 | 88/45 |
210 | 125/64 | 63/32 | 63/32 | 63/32 |
211 | ? | ? | 55/28 | 55/28 |
212 | 2025/1024 | 486/245 | 484/245 | 65/33 |
213 | ? | ? | 196/99 | 180/91 |
214 | 160/81 | 160/81 | 160/81 | 143/72 |
215 | ? | ? | 175/88 | 175/88 |
216 | 2/1 | 2/1 | 2/1 | 2/1 |