216edo

From TD Xenharmonic Wiki
Jump to navigation Jump to search

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