245edo

From TD Xenharmonic Wiki
Jump to navigation Jump to search

245edo uses a step size of 4.8979591836735 cents, and is a commatonal and nanotonal EDO. It can be thought of as seven sets of 35edo. Divisors are {{#rreplace: 245 49 35 7 5 1|/(\d+)(\D+)?/|\1\2}}. In 7-limit, it has the same 1/1—225/224—126/125—81/80 split as 171edo does, but not as accurate. It is consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 78125/78732 225/224 225/224 144/143
2 32768/32805 126/125 126/125 126/125
3 81/80 81/80 81/80 81/80
4 15625/15552 3645/3584 100/99 78/77
5 2048/2025 245/243 245/243 66/65
6 6561/6400 64/63 56/55 56/55
7 3125/3072 50/49 45/44 45/44
8 128/125 49/48 49/48 49/48
9 20000/19683 36/35 36/35 36/35
10 16875/16384 405/392 77/75 77/75
11 648/625 648/625 33/32 33/32
12 250/243 250/243 250/243 27/26
13 ? 3125/3024 80/77 80/77
14 6561/6250 28/27 28/27 26/25
15 25/24 25/24 25/24 25/24
16 16384/15625 360/343 81/77 81/77
17 20480/19683 21/20 21/20 21/20
18 135/128 135/128 135/128 96/91
19 82944/78125 729/686 128/121 128/121
20 256/243 256/243 256/243 55/52
21 2187/2048 200/189 35/33 35/33
22 78125/73728 343/324 343/324 143/135
23 16/15 16/15 16/15 16/15
24 62500/59049 15/14 15/14 15/14
25 ? 343/320 77/72 77/72
26 27/25 27/25 27/25 14/13
27 3125/2916 243/224 243/224 225/208
28 32768/30375 784/729 121/112 121/112
29 2187/2000 175/162 175/162 13/12
30 625/576 160/147 12/11 12/11
31 2048/1875 49/45 49/45 49/45
32 64000/59049 35/32 35/32 35/32
33 1125/1024 54/49 54/49 54/49
34 3456/3125 441/400 11/10 11/10
35 800/729 567/512 495/448 72/65
36 18225/16384 625/567 256/231 195/176
37 17496/15625 448/405 135/121 135/121
38 10/9 10/9 10/9 10/9
39 ? 125/112 125/112 125/112
40 65536/59049 28/25 28/25 28/25
41 9/8 9/8 9/8 9/8
42 78125/69984 1944/1715 121/108 121/108
43 4096/3645 567/500 198/175 44/39
44 729/640 640/567 112/99 112/99
45 15625/13824 500/441 25/22 25/22
46 256/225 245/216 245/216 91/80
47 59049/51200 8/7 8/7 8/7
48 9375/8192 225/196 154/135 143/125
49 144/125 144/125 55/48 55/48
50 2500/2187 81/70 81/70 15/13
51 ? 3645/3136 121/105 121/105
52 729/625 280/243 280/243 52/45
53 125/108 125/108 64/55 64/55
54 32768/28125 400/343 90/77 90/77
55 59049/50000 7/6 7/6 7/6
56 75/64 75/64 75/64 75/64
57 18432/15625 147/125 88/75 88/75
58 2560/2187 189/160 33/28 33/28
59 1215/1024 1215/1024 350/297 13/11
60 93312/78125 1715/1458 144/121 77/65
61 32/27 32/27 32/27 32/27
62 19683/16384 25/21 25/21 25/21
63 78125/65536 343/288 343/288 143/120
64 6/5 6/5 6/5 6/5
65 15625/13122 135/112 135/112 125/104
66 65536/54675 756/625 77/64 77/64
67 243/200 243/200 243/200 63/52
68 3125/2592 1600/1323 40/33 40/33
69 4096/3375 98/81 98/81 91/75
70 19683/16000 128/105 128/105 39/32
71 625/512 60/49 27/22 27/22
72 768/625 49/40 11/9 11/9
73 8000/6561 216/175 216/175 16/13
74 10125/8192 243/196 154/125 154/125
75 3888/3125 896/729 99/80 99/80
76 100/81 100/81 100/81 26/21
77 ? 625/504 96/77 96/77
78 19683/15625 56/45 56/45 56/45
79 5/4 5/4 5/4 5/4
80 98304/78125 432/343 432/343 180/143
81 8192/6561 63/50 44/35 44/35
82 81/64 81/64 81/64 81/64
83 78125/62208 2187/1715 121/96 121/96
84 512/405 512/405 512/405 33/26
85 6561/5120 80/63 14/11 14/11
86 15625/12288 125/98 125/98 125/98
87 32/25 32/25 32/25 32/25
88 25000/19683 9/7 9/7 9/7
89 84375/65536 1029/800 77/60 77/60
90 162/125 162/125 162/125 84/65
91 625/486 625/486 128/99 128/99
92 65536/50625 1568/1215 100/77 100/77
93 6561/5000 35/27 35/27 13/10
94 125/96 64/49 64/49 64/49
95 4096/3125 98/75 98/75 98/75
96 25600/19683 21/16 21/16 21/16
97 675/512 324/245 324/245 120/91
98 20736/15625 1323/1000 33/25 33/25
99 320/243 320/243 297/224 169/128
100 10935/8192 250/189 175/132 65/49
101 ? 896/675 162/121 121/91
102 4/3 4/3 4/3 4/3
103 78125/59049 75/56 75/56 75/56
104 ? 168/125 168/125 168/125
105 27/20 27/20 27/20 27/20
106 15625/11664 1215/896 121/90 104/77
107 8192/6075 980/729 605/448 88/65
108 2187/1600 256/189 224/165 65/48
109 3125/2304 200/147 15/11 15/11
110 512/375 49/36 49/36 49/36
111 80000/59049 48/35 48/35 48/35
112 5625/4096 135/98 135/98 125/91
113 864/625 441/320 11/8 11/8
114 1000/729 243/175 243/175 18/13
115 91125/65536 2187/1568 168/121 168/121
116 4374/3125 112/81 112/81 104/75
117 25/18 25/18 25/18 25/18
118 65536/46875 480/343 108/77 108/77
119 81920/59049 7/5 7/5 7/5
120 45/32 45/32 45/32 45/32
121 ? 486/343 176/125 176/125
122 1024/729 567/400 99/70 55/39
123 729/512 729/512 140/99 78/55
124 78125/55296 343/243 125/88 125/88
125 64/45 64/45 64/45 64/45
126 59049/40960 10/7 10/7 10/7
127 46875/32768 343/240 77/54 77/54
128 36/25 36/25 36/25 36/25
129 3125/2187 81/56 81/56 75/52
130 ? 3136/2187 121/84 121/84
131 729/500 350/243 350/243 13/9
132 625/432 625/432 16/11 16/11
133 8192/5625 196/135 196/135 182/125
134 59049/40000 35/24 35/24 35/24
13

5

375/256 72/49 72/49 72/49
136 4608/3125 147/100 22/15 22/15
137 3200/2187 189/128 165/112 96/65
138 6075/4096 729/490 729/490 65/44
139 23328/15625 1792/1215 180/121 77/52
140 40/27 40/27 40/27 40/27
141 98415/65536 125/84 125/84 125/84
142 ? 112/75 112/75 112/75
143 3/2 3/2 3/2 3/2
144 78125/52488 675/448 121/81 121/81
145 16384/10935 189/125 189/125 98/65
146 243/160 243/160 243/160 169/112
147 15625/10368 2000/1323 50/33 50/33
148 1024/675 245/162 245/162 91/60
149 19683/12800 32/21 32/21 32/21
150 3125/2048 75/49 75/49 75/49
151 192/125 49/32 49/32 49/32
152 10000/6561 54/35 54/35 20/13
153 50625/32768 1215/784 77/50 77/50
154 972/625 972/625 99/64 99/64
155 125/81 125/81 125/81 65/42
156 ? 1600/1029 120/77 120/77
157 19683/12500 14/9 14/9 14/9
158 25/16 25/16 25/16 25/16
159 24576/15625 196/125 196/125 196/125
160 10240/6561 63/40 11/7 11/7
161 405/256 405/256 405/256 52/33
162 ? 2187/1372 192/121 192/121
163 128/81 128/81 128/81 128/81
164 6561/4096 100/63 35/22 35/22
165 78125/49152 343/216 343/216 143/90
166 8/5 8/5 8/5 8/5
167 31250/19683 45/28 45/28 45/28
168 ? 1008/625 77/48 77/48
169 81/50 81/50 81/50 21/13
170 3125/1944 729/448 121/75 121/75
171 16384/10125 392/243 125/77 125/77
172 6561/4000 175/108 175/108 13/8
173 625/384 80/49 18/11 18/11
174 1024/625 49/30 44/27 44/27
175 32000/19683 105/64 105/64 64/39
176 3375/2048 81/49 81/49 81/49
177 5184/3125 1323/800 33/20 33/20
178 400/243 400/243 400/243 91/55
179 54675/32768 625/378 128/77 128/77
180 26244/15625 224/135 224/135 208/125
181 5/3 5/3 5/3 5/3
182 ? 375/224 375/224 240/143
183 32768/19683 42/25 42/25 42/25
184 27/16 27/16 27/16 27/16
185 78125/46656 2916/1715 121/72 121/72
186 2048/1215 1225/729 297/175 22/13
187 2187/1280 320/189 56/33 56/33
188 15625/9216 250/147 75/44 75/44
189 128/75 128/75 128/75 128/75
190 ? 12/7 12/7 12/7
191 28125/16384 343/200 77/45 77/45
192 216/125 216/125 55/32 55/32
193 1250/729 243/140 243/140 45/26
194 ? 6272/3645 121/70 121/70
195 2187/1250 140/81 140/81 26/15
196 125/72 125/72 96/55 96/55
197 16384/9375 392/225 135/77 135/77
198 ? 7/4 7/4 7/4
199 225/128 225/128 225/128 160/91
200 27648/15625 441/250 44/25 44/25
201 1280/729 567/320 99/56 99/56
202 3645/2048 1000/567 175/99 39/22
203 ? 1715/972 216/121 143/81
204 16/9 16/9 16/9 16/9
205 59049/32768 25/14 25/14 25/14
206 ? 224/125 224/125 143/80
207 9/5 9/5 9/5 9/5
208 15625/8748 405/224 242/135 242/135
209 32768/18225 1134/625 231/128 231/128
210 729/400 729/400 729/400 65/36
211 3125/1728 800/441 20/11 20/11
212 2048/1125 49/27 49/27 49/27
213 59049/32000 64/35 64/35 64/35
214 1875/1024 90/49 81/44 81/44
215 1152/625 147/80 11/6 11/6
216 4000/2187 324/175 324/175 24/13
217 30375/16384 729/392 224/121 224/121
218 5832/3125 448/243 225/121 225/121
219 50/27 50/27 50/27 13/7
220 ? 625/336 144/77 121/65
221 59049/31250 28/15 28/15 28/15
222 15/8 15/8 15/8 15/8
223 ? 648/343 539/288 270/143
224 4096/2187 189/100 66/35 49/26
225 243/128 243/128 243/128 104/55
226 78125/41472 1372/729 121/64 121/64
227 256/135 256/135 256/135 91/48
228 19683/10240 40/21 21/11 21/11
229 15625/8192 343/180 154/81 143/75
230 48/25 48/25 48/25 48/25
231 12500/6561 27/14 27/14 25/13
232 ? 3087/1600 77/40 77/40
233 243/125 243/125 243/125 52/27
234 625/324 625/324 64/33 64/33
235 32768/16875 784/405 150/77 150/77
236 19683/10000 35/18 35/18 35/18
237 125/64 96/49 96/49 96/49
238 6144/3125 49/25 49/25 49/25
239 12800/6561 63/32 55/28 55/28
240 2025/1024 486/245 486/245 65/33
241 31104/15625 3969/2000 99/50 77/39
242 160/81 160/81 160/81 160/81
243 32805/16384 125/63 125/63 125/63
244 ? 448/225 243/121 143/72
245 2/1 2/1 2/1 2/1