219edo

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219edo uses a step size of 5.4794520547945 cents, and is a commatonal and nanotonal EDO. It can be thought of as three sets of 73edo. Divisors are {{#rreplace: 219 73 3 1|/(\d+)(\D+)?/|\1\2}}. It is not consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 126/125 126/125 126/125
2 78125/78732 225/224 225/224 144/143
3 81/80 81/80 81/80 78/77
4 ? 245/243 100/99 100/99
5 15625/15552 64/63 56/55 56/55
6 128/125 128/125 128/125 128/125
7 ? 49/48 45/44 45/44
8 3125/3072 36/35 36/35 36/35
9 648/625 525/512 525/512 40/39
10 ? 405/392 33/32 33/32
11 250/243 250/243 125/121 26/25
12 6561/6250 28/27 28/27 27/26
13 ? 256/245 256/245 117/112
14 25/24 25/24 25/24 25/24
15 82944/78125 21/20 21/20 21/20
16 ? 1296/1225 132/125 132/125
17 135/128 135/128 128/121 96/91
18 ? 729/686 297/280 52/49
19 ? 200/189 35/33 35/33
20 16/15 16/15 16/15 16/15
21 ? 625/588 375/352 180/169
22 62500/59049 15/14 15/14 15/14
23 27/25 27/25 27/25 27/25
24 ? 784/729 275/256 14/13
25 3125/2916 243/224 121/112 13/12
26 2048/1875 175/162 175/162 175/162
27 ? 49/45 12/11 12/11
28 625/576 192/175 192/175 169/154
29 3456/3125 35/32 35/32 35/32
30 ? 54/49 11/10 11/10
31 800/729 800/729 400/363 100/91
32 17496/15625 448/405 256/231 72/65
33 ? 625/567 625/567 39/35
34 10/9 10/9 10/9 10/9
35 ? 28/25 28/25 28/25
36 ? 125/112 125/112 125/112
37 9/8 9/8 9/8 9/8
38 ? 567/500 198/175 175/156
39 78125/69984 640/567 112/99 44/39
40 256/225 256/225 256/225 91/80
41 ? 245/216 25/22 25/22
42 15625/13824 8/7 8/7 8/7
43 144/125 144/125 144/125 144/125
44 ? 147/128 55/48 55/48
45 2500/2187 81/70 81/70 52/45
46 729/625 280/243 140/121 15/13
47 ? 512/441 64/55 64/55
48 125/108 125/108 125/108 117/100
49 18432/15625 7/6 7/6 7/6
50 ? 147/125 88/75 88/75
51 75/64 75/64 75/64 75/64
52 93312/78125 189/160 33/28 13/11
53 ? 1458/1225 297/250 208/175
54 32/27 32/27 32/27 32/27
55 ? 448/375 448/375 117/98
56 ? 25/21 25/21 25/21
57 6/5 6/5 6/5 6/5
58 ? 756/625 756/625 140/117
59 15625/13122 135/112 77/64 65/54
60 243/200 243/200 121/100 91/75
61 ? 98/81 40/33 40/33
62 3125/2592 128/105 128/105 39/32
63 768/625 175/144 175/144 175/144
64 ? 49/40 11/9 11/9
65 625/512 216/175 154/125 154/125
66 3888/3125 315/256 275/224 16/13
67 ? 243/196 99/80 26/21
68 100/81 100/81 100/81 100/81
69 19683/15625 56/45 56/45 56/45
70 ? 625/504 625/504 169/135
71 5/4 5/4 5/4 5/4
72 ? 63/50 44/35 44/35
73 ? 1125/896 792/625 49/39
74 81/64 81/64 81/64 81/64
75 ? 1225/972 125/99 125/99
76 78125/62208 80/63 14/11 14/11
77 32/25 32/25 32/25 32/25
78 ? 125/98 125/98 125/98
79 15625/12288 9/7 9/7 9/7
80 162/125 162/125 162/125 50/39
81 ? 1323/1024 128/99 84/65
82 625/486 625/486 363/280 13/10
83 4096/3125 35/27 35/27 35/27
84 ? 64/49 64/49 64/49
85 125/96 125/96 125/96 125/96
86 20736/15625 21/16 21/16 21/16
87 ? 324/245 33/25 33/25
88 320/243 320/243 160/121 120/91
89 ? 896/675 297/224 65/49
90 ? 250/189 175/132 175/132
91 4/3 4/3 4/3 4/3
92 ? 168/125 168/125 168/125
93 78125/59049 75/56 75/56 75/56
94 27/20 27/20 27/20 27/20
95 ? 980/729 400/297 35/26
96 15625/11664 256/189 224/165 65/48
97 512/375 512/375 512/375 143/105
98 ? 49/36 15/11 15/11
99 3125/2304 48/35 48/35 48/35
100 864/625 175/128 175/128 160/117
101 ? 135/98 11/8 11/8
102 1000/729 243/175 242/175 104/75
103 4374/3125 112/81 112/81 18/13
104 ? 1024/735 384/275 39/28
105 25/18 25/18 25/18 25/18
106 ? 7/5 7/5 7/5
107 ? 625/448 176/125 169/120
108 45/32 45/32 45/32 45/32
109 ? 486/343 99/70 78/55
110 ? 343/243 140/99 55/39
111 64/45 64/45 64/45 64/45
112 ? 625/441 125/88 125/88
113 78125/55296 10/7 10/7 10/7
114 36/25 36/25 36/25 36/25
115 ? 735/512 275/192 56/39
116 3125/2187 81/56 81/56 13/9
117 729/500 350/243 175/121 75/52
118 ? 196/135 16/11 16/11
119 625/432 256/175 256/175 117/80
120 4608/3125 35/24 35/24 35/24
121 ? 72/49 22/15 22/15
122 375/256 375/256 375/256 210/143
123 23328/15625 189/128 165/112 65/44
124 ? 729/490 297/200 52/35
125 40/27 40/27 40/27 40/27
126 ? 112/75 112/75 112/75
127 ? 125/84 125/84 125/84
128 3/2 3/2 3/2 3/2
129 ? 189/125 189/125 169/112
130 78125/52488 675/448 385/256 98/65
131 243/160 243/160 121/80 91/60
132 ? 245/162 50/33 50/33
133 15625/10368 32/21 32/21 32/21
134 192/125 192/125 192/125 169/110
135 ? 49/32 49/32 49/32
136 3125/2048 54/35 54/35 54/35
137 972/625 972/625 560/363 20/13
138 ? 1215/784 99/64 65/42
139 125/81 125/81 125/81 39/25
140 19683/12500 14/9 14/9 14/9
141 ? 196/125 196/125 169/108
142 25/16 25/16 25/16 25/16
143 ? 63/40 11/7 11/7
144 ? 1944/1225 198/125 198/125
145 128/81 128/81 128/81 128/81
146 ? 1792/1125 625/396 78/49
147 ? 100/63 35/22 35/22
148 8/5 8/5 8/5 8/5
149 ? 625/392 625/392 169/105
150 31250/19683 45/28 45/28 45/28
151 81/50 81/50 81/50 81/50
152 ? 392/243 160/99 21/13
153 3125/1944 512/315 363/224 13/8
154 1024/625 175/108 125/77 125/77
155 ? 49/30 18/11 18/11
156 625/384 288/175 288/175 275/169
157 5184/3125 105/64 105/64 64/39
158 ? 81/49 33/20 33/20
159 400/243 400/243 200/121 150/91
160 26244/15625 224/135 128/77 108/65
161 ? 625/378 625/378 117/70
162 5/3 5/3 5/3 5/3
163 ? 42/25 42/25 42/25
164 ? 375/224 375/224 169/100
165 27/16 27/16 27/16 27/16
166 ? 1225/729 297/175 175/104
167 78125/46656 320/189 56/33 22/13
168 128/75 128/75 128/75 128/75
169 ? 245/144 75/44 75/44
170 15625/9216 12/7 12/7 12/7
171 216/125 216/125 216/125 169/98
172 ? 441/256 55/32 55/32
173 1250/729 243/140 121/70 26/15
174 2187/1250 140/81 140/81 45/26
175 ? 256/147 96/55 96/55
176 125/72 125/72 125/72 125/72
177 27648/15625 7/4 7/4 7/4
178 ? 432/245 44/25 44/25
179 225/128 225/128 225/128 160/91
180 ? 567/320 99/56 39/22
181 ? 1000/567 175/99 175/99
182 16/9 16/9 16/9 16/9
183 ? 224/125 224/125 143/80
184 ? 25/14 25/14 25/14
185 9/5 9/5 9/5 9/5
186 ? 1134/625 1134/625 70/39
187 15625/8748 405/224 231/128 65/36
188 729/400 729/400 363/200 91/50
189 ? 49/27 20/11 20/11
190 3125/1728 64/35 64/35 64/35
191 1152/625 175/96 175/96 175/96
192 ? 90/49 11/6 11/6
193 1875/1024 324/175 231/125 231/125
194 5832/3125 448/243 224/121 24/13
195 ? 729/392 297/160 13/7
196 50/27 50/27 50/27 50/27
197 59049/31250 28/15 28/15 28/15
198 ? 625/336 625/336 169/90
199 15/8 15/8 15/8 15/8
200 ? 189/100 66/35 66/35
201 ? 1372/729 560/297 49/26
202 243/128 243/128 121/64 91/48
203 ? 1225/648 125/66 125/66
204 78125/41472 40/21 21/11 21/11
205 48/25 48/25 48/25 48/25
206 ? 245/128 245/128 224/117
207 12500/6561 27/14 27/14 27/14
208 243/125 243/125 242/125 25/13
209 ? 784/405 64/33 64/33
210 625/324 625/324 625/324 39/20
211 6144/3125 35/18 35/18 35/18
212 ? 49/25 49/25 49/25
213 125/64 125/64 125/64 125/64
214 31104/15625 63/32 55/28 55/28
215 ? 486/245 99/50 99/50
216 160/81 160/81 160/81 77/39
217 ? 448/225 448/225 143/72
218 ? 125/63 125/63 125/63
219 2/1 2/1 2/1 2/1