259edo

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259edo uses a step size of 4.6332046332046 cents, and is a commatonal and nanotonal EDO. It can be thought of as seven sets of 37edo. Divisors are {{#rreplace: 259 37 7 1|/(\d+)(\D+)?/|\1\2}}. It is not consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 ? 65536/65625 1331/1323 169/168
2 ? 225/224 100/99 100/99
3 2048/2025 2048/2025 121/120 91/90
4 3125/3072 3125/3072 243/242 105/104
5 ? 64/63 55/54 55/54
6 ? ? 1350/1331 343/338
7 81/80 49/48 49/48 49/48
8 ? 28672/28125 968/945 143/140
9 ? 525/512 45/44 40/39
10 128/125 128/125 77/75 65/63
11 16875/16384 16875/16384 125/121 125/121
12 ? 28/27 28/27 28/27
13 ? ? 1936/1875 169/162
14 25/24 25/24 25/24 25/24
15 ? 8192/7875 363/350 26/25
16 ? 1875/1792 126/121 27/26
17 256/243 256/243 22/21 22/21
18 78125/73728 78125/73728 1400/1331 150/143
19 ? 21/20 21/20 21/20
20 16384/15625 16384/15625 1331/1260 143/135
21 135/128 135/128 35/33 35/33
22 ? 3584/3375 132/125 52/49
23 ? 4375/4096 375/352 125/117
24 16/15 16/15 16/15 16/15
25 ? ? 1331/1250 180/169
26 ? 15/14 15/14 15/14
27 32768/30375 32768/30375 242/225 242/225
28 625/576 625/576 189/176 14/13
29 ? 672/625 88/81 13/12
30 ? 15625/14336 525/484 225/208
31 27/25 27/25 27/25 27/25
32 ? ? 1331/1215 572/525
33 ? 35/32 12/11 12/11
34 2048/1875 2048/1875 484/441 169/154
35 1125/1024 1125/1024 400/363 100/91
36 ? 192/175 11/10 11/10
37 ? ? 1458/1331 315/286
38 10/9 10/9 10/9 10/9
39 ? 86016/78125 968/875 375/338
40 ? 125/112 49/44 49/44
41 3456/3125 3456/3125 121/108 39/35
42 15625/13824 15625/13824 135/121 135/121
43 ? 28/25 28/25 28/25
44 ? ? 1500/1331 169/150
45 9/8 9/8 9/8 9/8
46 ? 24576/21875 704/625 143/126
47 ? 875/768 25/22 25/22
48 256/225 256/225 154/135 91/80
49 9375/8192 9375/8192 1250/1089 162/143
50 ? 8/7 8/7 8/7
51 ? ? 3872/3375 143/125
52 125/108 125/108 63/55 63/55
53 ? 3584/3125 121/105 52/45
54 ? 3125/2688 140/121 15/13
55 144/125 144/125 144/125 65/56
56 ? ? 1125/968 196/169
57 ? 7/6 7/6 7/6
58 32768/28125 32768/28125 726/625 169/144
59 75/64 75/64 75/64 75/64
60 ? 1024/875 88/75 88/75
61 ? 16875/14336 567/484 168/143
62 32/27 32/27 32/27 13/11
63 78125/65536 78125/65536 1331/1125 200/169
64 ? 25/21 25/21 25/21
65 18432/15625 18432/15625 484/405 143/120
66 1215/1024 1215/1024 105/88 105/88
67 ? 448/375 176/147 65/54
68 ? 39375/32768 875/726 125/104
69 6/5 6/5 6/5 6/5
70 ? ? 2662/2187 169/140
71 ? 135/112 40/33 40/33
72 4096/3375 4096/3375 121/100 91/75
73 625/512 625/512 147/121 63/52
74 ? 128/105 11/9 11/9
75 ? ? 1620/1331 175/143
76 100/81 49/40 49/40 49/40
77 ? 57344/46875 1331/1080 338/275
78 ? 315/256 27/22 16/13
79 768/625 768/625 121/98 26/21
80 10125/8192 10125/8192 150/121 150/121
81 ? 56/45 56/45 56/45
82 ? ? 3872/3125 169/135
83 5/4 5/4 5/4 5/4
84 ? 16384/13125 847/675 156/125
85 ? 1125/896 125/99 49/39
86 512/405 512/405 44/35 44/35
87 15625/12288 15625/12288 1215/968 180/143
88 ? 63/50 63/50 63/50
89 98304/78125 98304/78125 1331/1050 286/225
90 81/64 81/64 14/11 14/11
91 ? 7168/5625 242/189 104/81
92 ? 2625/2048 225/176 50/39
93 32/25 32/25 32/25 32/25
94 84375/65536 84375/65536 625/484 216/169
95 ? 9/7 9/7 9/7
96 65536/50625 65536/50625 484/375 484/375
97 125/96 125/96 100/77 84/65
98 ? 2048/1575 176/135 13/10
99 ? 9375/7168 315/242 135/104
100 162/125 64/49 55/42 55/42
101 ? ? 1750/1331 375/286
102 ? 21/16 21/16 21/16
103 4096/3125 4096/3125 968/729 143/108
104 675/512 675/512 160/121 120/91
105 ? 896/675 33/25 33/25
106 ? 21875/16384 1125/847 189/143
107 4/3 4/3 4/3 4/3
108 ? ? 1331/1000 169/126
109 ? 75/56 75/56 75/56
110 8192/6075 8192/6075 121/90 121/90
111 3125/2304 3125/2304 162/121 35/26
112 ? 168/125 66/49 65/48
113 ? 78125/57344 1800/1331 169/125
114 27/20 27/20 27/20 27/20
115 ? ? 847/625 143/105
116 ? 175/128 15/11 15/11
117 512/375 512/375 308/225 260/189
118 5625/4096 5625/4096 500/363 125/91
119 ? 48/35 11/8 11/8
120 ? ? 3645/2662 338/243
121 25/18 25/18 25/18 25/18
122 ? 21504/15625 242/175 104/75
123 ? 625/448 168/121 18/13
124 864/625 864/625 88/63 39/28
125 78125/55296 78125/55296 675/484 200/143
126 ? 7/5 7/5 7/5
127 65536/46875 65536/46875 1331/945 169/120
128 45/32 45/32 45/32 45/32
129 ? 6144/4375 176/125 176/125
130 ? 4375/3072 125/88 125/88
131 64/45 64/45 64/45 64/45
132 46875/32768 46875/32768 1890/1331 240/169
133 ? 10/7 10/7 10/7
134 ? ? 968/675 143/100
135 625/432 625/432 63/44 56/39
136 ? 896/625 121/84 13/9
137 ? 15625/10752 175/121 75/52
138 36/25 36/25 36/25 36/25
139 ? ? 5324/3645<

br>| | 243/169

140 ? 35/24 16/11 16/11
141 8192/5625 8192/5625 363/250 143/98
142 375/256 375/256 225/154 189/130
143 ? 256/175 22/15 22/15
144 ? 84375/57344 1250/847 210/143
145 40/27 40/27 40/27 40/27
146 ? ? 1331/900 250/169
147 ? 125/84 49/33 49/33
148 4608/3125 4608/3125 121/81 52/35
149 6075/4096 6075/4096 180/121 135/91
150 ? 112/75 112/75 112/75
151 ? ? 2000/1331 252/169
152 3/2 3/2 3/2 3/2
153 ? 32768/21875 1331/882 169/112
154 ? 675/448 50/33 50/33
155 1024/675 1024/675 121/80 91/60
156 3125/2048 3125/2048 729/484 216/143
157 ? 32/21 32/21 32/21
158 ? ? 1331/875 572/375
159 125/81 49/32 49/32 49/32
160 ? 14336/9375 484/315 169/110
161 ? 1575/1024 135/88 20/13
162 192/125 192/125 77/50 65/42
163 50625/32768 50625/32768 375/242 375/242
164 ? 14/9 14/9 14/9
165 ? ? 968/625 169/108
166 25/16 25/16 25/16 25/16
167 ? 4096/2625 352/225 39/25
168 ? 5625/3584 189/121 81/52
169 128/81 128/81 11/7 11/7
170 78125/49152 78125/49152 2100/1331 225/143
171 ? 63/40 63/40 63/40
172 24576/15625 24576/15625 1331/840 143/90
173 405/256 405/256 35/22 35/22
174 ? 1792/1125 198/125 78/49
175 ? 13125/8192 1125/704 125/78
176 8/5 8/5 8/5 8/5
177 ? ? 3125/1936 169/105
178 ? 45/28 45/28 45/28
179 16384/10125 16384/10125 121/75 121/75
180 625/384 625/384 125/77 21/13
181 ? 512/315 44/27 13/8
182 ? 46875/28672 1575/968 275/169
183 81/50 49/30 49/30 49/30
184 ? ? 1331/810 286/175
185 ? 105/64 18/11 18/11
186 1024/625 1024/625 242/147 104/63
187 3375/2048 3375/2048 200/121 150/91
188 ? 224/135 33/20 33/20
189 ? ? 2187/1331 280/169
190 5/3 5/3 5/3 5/3
191 ? 65536/39375 1331/800 208/125
192 ? 375/224 147/88 108/65
193 2048/1215 2048/1215 121/72 91/54
194 15625/9216 15625/9216 405/242 175/104
195 ? 42/25 42/25 42/25
196 ? ? 2250/1331 169/100
197 27/16 27/16 27/16 22/13
198 ? 28672/16875 847/500 143/84
199 ? 875/512 75/44 75/44
200 128/75 128/75 77/45 77/45
201 28125/16384 28125/16384 625/363 243/143
202 ? 12/7 12/7 12/7
203 ? ? 1936/1125 169/98
204 125/72 125/72 125/72 112/65
205 ? 5376/3125 121/70 26/15
206 ? 3125/1792 210/121 45/26
207 216/125 216/125 110/63 110/63
208 ? ? 3375/1936 250/143
209 ? 7/4 7/4 7/4
210 16384/9375 16384/9375 1089/625 143/81
211 225/128 225/128 135/77 135/77
212 ? 1536/875 44/25 44/25
213 ? 21875/12288 625/352 252/143
214 16/9 16/9 16/9 16/9
215 ? ? 1331/750 300/169
216 ? 25/14 25/14 25/14
217 27648/15625 27648/15625 242/135 143/80
218 3125/1728 3125/1728 216/121 70/39
219 ? 224/125 88/49 65/36
220 ? 78125/43008 875/484 375/208
221 9/5 9/5 9/5 9/5
222 ? ? 1331/729 507/280
223 ? 175/96 20/11 20/11
224 2048/1125 2048/1125 363/200 91/50
225 1875/1024 1875/1024 441/242 189/104
226 ? 64/35 11/6 11/6
227 ? ? 2430/1331 525/286
228 50/27 50/27 50/27 50/27
229 ? 28672/15625 968/525 416/225
230 ? 625/336 81/44 24/13
231 1152/625 1152/625 231/125 13/7
232 30375/16384 30375/16384 225/121 225/121
233 ? 28/15 28/15 28/15
234 ? ? 2500/1331 169/90
235 15/8 15/8 15/8 15/8
236 ? 8192/4375 704/375 234/125
237 ? 3375/1792 125/66 49/26
238 256/135 256/135 66/35 66/35
239 15625/8192 15625/8192 2520/1331 270/143
240 ? 40/21 40/21 40/21
241 ? ? 1331/700 143/75
242 243/128 243/128 21/11 21/11
243 ? 3584/1875 121/63 52/27
244 ? 7875/4096 675/352 25/13
245 48/25 48/25 48/25 48/25
246 ? ? 1875/968 324/169
247 ? 27/14 27/14 27/14
248 32768/16875 32768/16875 242/125 242/125
249 125/64 125/64 125/64 125/64
250 ? 1024/525 88/45 39/20
251 ? 28125/14336 945/484 280/143
252 160/81 49/25 49/25 49/25
253 ? ? 1331/675 676/343
254 ? 63/32 63/32 63/32
255 6144/3125 6144/3125 484/243 143/72
256 2025/1024 2025/1024 175/88 175/88
257 ? 448/225 99/50 99/50
258 ? 65625/32768 2646/1331 336/169
259 2/1 2/1 2/1 2/1