277edo

From TD Xenharmonic Wiki
Jump to navigation Jump to search

277edo is the 59th prime EDO. It has a step size of 4.3321299638989 cents. It is a commatonal and nanotonal EDO. It is consistent in the 5-odd-limit.

Step Five limit Seven limit Eleven limit Thirteen limit
1 15625/15552 225/224 225/224 225/224
2 ? 1728/1715 176/175 169/168
3 ? 1029/1024 99/98 99/98
4 78732/78125 126/125 100/99 100/99
5 81/80 81/80 81/80 78/77
6 3125/3072 64/63 64/63 64/63
7 ? 50/49 50/49 50/49
8 ? 686/675 56/55 56/55
9 ? 49/48 45/44 45/44
10 128/125 128/125 128/125 40/39
11 250/243 36/35 36/35 36/35
12 ? 405/392 33/32 33/32
13 ? 1029/1000 125/121 121/117
14 ? 1323/1280 363/350 91/88
15 648/625 28/27 28/27 27/26
16 25/24 25/24 25/24 25/24
17 ? 256/245 126/121 117/112
18 ? 360/343 22/21 22/21
19 ? 392/375 288/275 150/143
20 6561/6250 21/20 21/20 21/20
21 135/128 135/128 135/128 96/91
22 62500/59049 200/189 132/125 55/52
23 ? 625/588 128/121 52/49
24 ? 343/324 35/33 35/33
25 82944/78125 1225/1152 375/352 117/110
26 16/15 16/15 16/15 16/15
27 3125/2916 15/14 15/14 15/14
28 ? 2401/2250 275/256 275/256
29 ? 343/320 189/176 130/121
30 ? 672/625 121/112 14/13
31 27/25 27/25 27/25 27/25
32 625/576 243/224 243/224 13/12
33 ? 160/147 88/81 88/81
34 ? 375/343 275/252 275/252
35 ? 49/45 12/11 12/11
36 2048/1875 35/32 35/32 35/32
37 800/729 192/175 192/175 100/91
38 ? 54/49 11/10 11/10
39 ? 686/625 400/363 315/286
40 ? 441/400 243/220 182/165
41 3456/3125 448/405 256/231 72/65
42 10/9 10/9 10/9 10/9
43 78125/69984 125/112 125/112 39/35
44 ? 384/343 49/44 49/44
45 ? 1715/1536 55/49 55/49
46 17496/15625 28/25 28/25 28/25
47 9/8 9/8 9/8 9/8
48 15625/13824 640/567 640/567 44/39
49 ? 500/441 198/175 198/175
50 ? 1372/1215 112/99 112/99
51 ? 245/216 25/22 25/22
52 256/225 256/225 256/225 91/80
53 2500/2187 8/7 8/7 8/7
54 ? 225/196 55/48 55/48
55 ? 343/300 63/55 63/55
56 ? 147/128 121/105 121/105
57 144/125 144/125 144/125 15/13
58 125/108 81/70 81/70 52/45
59 ? 512/441 140/121 65/56
60 ? 400/343 220/189 121/104
61 ? 784/675 64/55 64/55
62 729/625 7/6 7/6 7/6
63 75/64 75/64 75/64 75/64
64 ? 288/245 88/75 88/75
65 ? 405/343 33/28 33/28
66 ? 147/125 147/125 147/125
67 18432/15625 189/160 189/160 13/11
68 32/27 32/27 32/27 32/27
69 15625/13122 25/21 25/21 25/21
70 ? 1875/1568 144/121 117/98
71 ? 343/288 105/88 105/88
72 93312/78125 448/375 448/375 140/117
73 6/5 6/5 6/5 6/5
74 3125/2592 135/112 77/64 65/54
75 ? 1600/1323 729/605 110/91
76 ? 1250/1029 121/100 121/100
77 ? 98/81 40/33 40/33
78 243/200 175/144 175/144 91/75
79 625/512 128/105 128/105 39/32
80 ? 60/49 11/9 11/9
81 ? 1372/1125 275/224 175/143
82 ? 49/40 27/22 27/22
83 768/625 315/256 121/98 16/13
84 100/81 100/81 100/81 100/81
85 ? 243/196 99/80 26/21
86 ? 1280/1029 150/121 150/121
87 ? 3000/2401 550/441 210/169
88 3888/3125 56/45 56/45 56/45
89 5/4 5/4 5/4 5/4
90 78125/62208 1125/896 343/275 169/135
91 ? 432/343 44/35 44/35
92 ? 784/625 121/96 49/39
93 19683/15625 63/50 63/50 63/50
94 81/64 81/64 81/64 81/64
95 15625/12288 80/63 80/63 33/26
96 ? 125/98 125/98 125/98
97 ? 343/270 14/11 14/11
98 ? 245/192 225/176 216/169
99 32/25 32/25 32/25 32/25
100 625/486 9/7 9/7 9/7
101 ? 2025/1568 165/128 165/128
102 ? 1029/800 484/375 156/121
103 ? 1323/1024 128/99 84/65
104 162/125 35/27 35/27 35/27
105 125/96 125/96 125/96 13/10
106 ? 64/49 64/49 64/49
107 ? 450/343 55/42 55/42
108 ? 98/75 72/55 72/55
109 4096/3125 21/16 21/16 21/16
110 320/243 320/243 320/243 120/91
111 78125/59049 250/189 33/25 33/25
112 ? 3125/2352 160/121 65/49
113 ? 1323/1000 175/132 121/91
114 20736/15625 896/675 512/385 117/88
115 4/3 4/3 4/3 4/3
116 15625/11664 75/56 75/56 75/56
117 ? 2304/1715 147/110 147/110
118 ? 343/256 66/49 66/49
119 ? 168/125 168/125 35/26
120 27/20 27/20 27/20 27/20
121 3125/2304 256/189 256/189 65/48
122 ? 200/147 110/81 110/81
123 ? 1875/1372 224/165 143/105
124 ? 49/36 15/11 15/11
125 512/375 175/128 175/128 160/117
126 1000/729 48/35 48/35 48/35
127 ? 135/98 11/8 11/8
128 ? 343/250 343/250 338/245
129 ? 441/320 242/175 91/66
130 864/625 112/81 112/81 18/13
131 25/18 25/18 25/18 25/18
132 ? 625/448 168/121 39/28
133 ? 480/343 88/63 88/63
134 ? 1568/1125 275/196 169/121
135 4374/3125 7/5 7/5 7/5
136 45/32 45/32 45/32 45/32
137 78125/55296 800/567 176/125 55/39
138 ? 486/343 99/70 99/70
139 ? 343/243 140/99 140/99
140 ? 567/400 125/88 78/55
141 64/45 64/45 64/45
| | 64/45
142 3125/2187 10/7 10/7 10/7
143 ? 1125/784 275/192 143/100
144 ? 343/240 63/44 63/44
145 ? 735/512 121/84 56/39
146 36/25 36/25 36/25 36/25
147 625/432 81/56 81/56 13/9
148 ? 640/441 175/121 132/91
149 ? 500/343 275/189 245/169
150 ? 196/135 16/11 16/11
151 729/500 35/24 35/24 35/24
152 375/256 256/175 256/175 117/80
153 ? 72/49 22/15 22/15
154 ? 2025/1372 165/112 165/112
155 ? 147/100 81/55 81/55
156 4608/3125 189/128 189/128 65/44
157 40/27 40/27 40/27 40/27
158 78125/52488 125/84 125/84 52/35
159 ? 512/343 49/33 49/33
160 ? 1715/1152 121/81 121/81
161 23328/15625 112/75 112/75 112/75
162 3/2 3/2 3/2 3/2
163 15625/10368 675/448 385/256 176/117
164 ? 2000/1323 264/175 169/112
165 ? 3087/2048 121/80 98/65
166 ? 189/125 50/33 50/33
167 243/160 243/160 243/160 91/60
168 3125/2048 32/21 32/21 32/21
169 ? 75/49 55/36 55/36
170 ? 343/225 84/55 84/55
171 ? 49/32 49/32 49/32
172 192/125 192/125 192/125 20/13
173 125/81 54/35 54/35 54/35
174 ? 1215/784 99/64 65/42
175 ? 1600/1029 375/242 121/78
176 ? 3136/2025 256/165 256/165
177 972/625 14/9 14/9 14/9
178 25/16 25/16 25/16 25/16
179 ? 384/245 189/121 169/108
180 ? 540/343 11/7 11/7
181 ? 196/125 196/125 196/125
182 19683/12500 63/40 63/40 52/33
183 128/81 128/81 128/81 128/81
184 31250/19683 100/63 100/63 100/63
185 ? 625/392 192/121 78/49
186 ? 343/216 35/22 35/22
187 ? 1225/768 550/343 270/169
188 8/5 8/5 8/5 8/5
189 3125/1944 45/28 45/28 45/28
190 ? 2401/1500 441/275 169/105
191 ? 1029/640 121/75 121/75
192 ? 392/243 160/99 21/13
193 81/50 81/50 81/50 81/50
194 625/384 512/315 196/121 13/8
195 ? 80/49 44/27 44/27
196 ? 1125/686 275/168 275/168
197 ? 49/30 18/11 18/11
198 1024/625 105/64 105/64 64/39
199 400/243 288/175 288/175 150/91
200 ? 81/49 33/20 33/20
201 ? 1029/625 200/121 200/121
202 ? 1323/800 729/440 91/55
203 5184/3125 224/135 128/77 108/65
204 5/3 5/3 5/3 5/3
205 78125/46656 375/224 375/224 117/70
206 ? 576/343 147/88 147/88
207 ? 1715/1024 121/72 121/72
208 26244/15625 42/25 42/25 42/25
209 27/16 27/16 27/16 27/16
210 15625/9216 320/189 320/189 22/13
211 ? 250/147 250/147 250/147
212 ? 686/405 56/33 56/33
213 ? 245/144 75/44 75/44
214 128/75 128/75 128/75 128/75
215 1250/729 12/7 12/7 12/7
216 ? 675/392 55/32 55/32
217 ? 343/200 189/110 169/98
218 ? 441/256 121/70 112/65
219 216/125 140/81 140/81 45/26
220 125/72 125/72 125/72 26/15
221 ? 256/147 210/121 195/112
222 ? 600/343 110/63 110/63
223 ? 392/225 96/55 96/55
224 2187/1250 7/4 7/4 7/4
225 225/128 225/128 225/128 160/91
226 ? 432/245 44/25 44/25
227 ? 1215/686 99/56 99/56
228 ? 441/250 175/99 175/99
229 27648/15625 567/320 567/320 39/22
230 16/9 16/9 16/9 16/9
231 15625/8748 25/14 25/14 25/14
232 ? 2401/1350 98/55 98/55
233 ? 343/192 88/49 88/49
234 ? 224/125 224/125 70/39
235 9/5 9/5 9/5 9/5
236 3125/1728 405/224 231/128 65/36
237 ? 800/441 440/243 165/91
238 ? 625/343 363/200 363/200
239 ? 49/27 20/11 20/11
240 729/400 175/96 175/96 91/50
241 1875/1024 64/35 64/35 64/35
242 ? 90/49 11/6 11/6
243 ? 686/375 504/275 504/275
244 ? 147/80 81/44 81/44
245 1152/625 448/243 363/196 24/13
246 50/27 50/27 50/27 50/27
247 ? 625/336 224/121 13/7
248 ? 640/343 225/121 121/65
249 ? 4500/2401 275/147 275/147
250 5832/3125 28/15 28/15 28/15
251 15/8 15/8 15/8 15/8
252 78125/41472 2304/1225 704/375 169/90
253 ? 648/343 66/35 66/35
254 ? 1176/625 121/64 49/26
255 59049/31250 189/100 125/66 104/55
256 243/128 243/128 243/128 91/48
257 12500/6561 40/21 40/21 40/21
258 ? 375/196 275/144 143/75
259 ? 343/180 21/11 21/11
260 ? 245/128 121/63 121/63
261 48/25 48/25 48/25 25/13
262 625/324 27/14 27/14 27/14
263 ? 2401/1250 495/256 176/91
264 ? 2000/1029 242/125 234/121
265 ? 784/405 64/33 64/33
266 243/125 35/18 35/18 35/18
267 125/64 125/64 125/64 39/20
268 ? 96/49 88/45 88/45
269 ? 675/343 55/28 55/28
270 ? 49/25 49/25 49/25
271 6144/3125 63/32 63/32 63/32
272 160/81 160/81 160/81 77/39
273 78125/39366 125/63 99/50 99/50
274 ? 2048/1029 196/99 143/72
275 ? 1715/864 175/88 175/88
276 31104/15625 448/225 448/225 351/176
277 2/1 2/1 2/1 2/1