257edo

257edo is the 55th prime EDO. It has a step size of 4.6692607003891 cents. It is a commatonal and nanotonal EDO. 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	32768/32805	225/224	176/175	144/143
3	81/80	81/80	81/80	81/80
4	?	245/243	99/98	91/90
5	2048/2025	686/675	100/99	66/65
6	6561/6400	875/864	56/55	56/55
7	?	49/48	49/48	49/48
8	128/125	128/125	45/44	45/44
9	?	50/49	50/49	50/49
10	20000/19683	36/35	36/35	36/35
11	648/625	648/625	33/32	33/32
12	?	405/392	405/392	91/88
13	250/243	250/243	125/121	27/26
14	6561/6250	28/27	28/27	26/25
15	?	392/375	80/77	80/77
16	25/24	25/24	25/24	25/24
17	?	21/20	21/20	21/20
18	20480/19683	1323/1250	22/21	22/21
19	135/128	135/128	132/125	104/99
20	?	1296/1225	825/784	96/91
21	256/243	256/243	128/121	55/52
22	2187/2048	729/686	35/33	35/33
23	?	200/189	200/189	52/49
24	16/15	16/15	16/15	16/15
25	?	625/588	77/72	77/72
26	62500/59049	15/14	15/14	15/14
27	27/25	27/25	27/25	14/13
28	?	784/729	264/245	264/245
29	3125/2916	243/224	121/112	121/112
30	2187/2000	175/162	175/162	13/12
31	?	49/45	49/45	49/45
32	625/576	625/576	12/11	12/11
33	?	35/32	35/32	35/32
34	64000/59049	192/175	192/175	128/117
35	1125/1024	375/343	11/10	11/10
36	?	54/49	54/49	54/49
37	800/729	800/729	400/363	72/65
38	17496/15625	448/405	448/405	195/176
39	?	625/567	49/44	49/44
40	10/9	10/9	10/9	10/9
41	?	28/25	28/25	28/25
42	65536/59049	125/112	125/112	125/112
43	9/8	9/8	9/8	9/8
44	?	567/500	55/49	55/49
45	4096/3645	1372/1215	198/175	44/39
46	729/640	729/640	112/99	112/99
47	?	245/216	245/216	91/80
48	256/225	256/225	25/22	25/22
49	59049/51200	500/441	63/55	63/55
50	?	8/7	8/7	8/7
51	144/125	144/125	55/48	55/48
52	?	225/196	225/196	225/196
53	2500/2187	81/70	81/70	15/13
54	729/625	280/243	140/121	52/45
55	?	784/675	784/675	528/455
56	125/108	125/108	64/55	64/55
57	59049/50000	7/6	7/6	7/6
58	?	147/125	90/77	90/77
59	75/64	75/64	75/64	75/64
60	?	189/160	189/160	169/144
61	2560/2187	1715/1458	33/28	33/28
62	1215/1024	405/343	297/250	13/11
63	?	1458/1225	196/165	108/91
64	32/27	32/27	32/27	32/27
65	19683/16384	448/375	105/88	105/88
66	?	25/21	25/21	25/21
67	6/5	6/5	6/5	6/5
68	?	756/625	77/64	77/64
69	15625/13122	135/112	135/112	125/104
70	243/200	243/200	121/100	63/52
71	?	98/81	98/81	91/75
72	3125/2592	1372/1125	40/33	40/33
73	19683/16000	175/144	175/144	39/32
74	?	49/40	49/40	49/40
75	625/512	625/512	11/9	11/9
76	?	60/49	60/49	60/49
77	8000/6561	216/175	216/175	16/13
78	3888/3125	896/729	99/80	99/80
79	?	243/196	121/98	121/98
80	100/81	100/81	100/81	26/21
81	19683/15625	56/45	56/45	56/45
82	?	625/504	96/77	96/77
83	5/4	5/4	5/4	5/4
84	?	63/50	63/50	49/39
85	8192/6561	1125/896	44/35	44/35
86	81/64	81/64	81/64	81/64
87	?	1225/972	495/392	91/72
88	512/405	343/270	125/99	33/26
89	6561/5120	2187/1715	14/11	14/11
90	?	80/63	80/63	80/63
91	32/25	32/25	32/25	32/25
92	?	125/98	77/60	77/60
93	25000/19683	9/7	9/7	9/7
94	162/125	162/125	162/125	84/65
95	?	1568/1215	784/605	352/273
96	625/486	625/486	128/99	128/99
97	6561/5000	35/27	35/27	13/10
98	?	98/75	98/75	98/75
99	125/96	125/96	72/55	72/55
100	?	21/16	21/16	21/16
101	25600/19683	1152/875	55/42	55/42
102	675/512	450/343	33/25	33/25
103	?	324/245	324/245	120/91
104	320/243	320/243	160/121	160/121
105	10935/8192	896/675	175/132	117/88
106	?	250/189	147/110	65/49
107	4/3	4/3	4/3	4/3
108	?	168/125	168/125	168/125
109	78125/59049	75/56	75/56	75/56
110	27/20	27/20	27/20	27/20
111	?	980/729	66/49	66/49
112	8192/6075	1215/896	400/297	88/65
113	2187/1600	875/648	224/165	65/48
114	?	49/36	49/36	49/36
115	512/375	343/250	15/11	15/11
116	?	175/128	175/128	175/128
117	80000/59049	48/35	48/35	48/35
118	864/625	864/625	11/8	11/8
119	?	135/98	135/98	91/66
120	1000/729	243/175	242/175	18/13
121	4374/3125	112/81	112/81	104/75
122	?	1568/1125	245/176	245/176
123	25/18	25/18	25/18	25/18
124	?	7/5	7/5	7/5
125	81920/59049	625/448	88/63	88/63
126	45/32	45/32	45/32	45/32
127	?	567/400	275/196	128/91
128	1024/729	343/243	99/70	55/39
129	729/512	486/343	140/99	78/55
130	?	800/567	392/275	91/64
131	64/45	64/45	64/45	64/45
132	59049/40960	625/441	63/44	63/44
133	?	10/7	10/7	10/7
134	36/25	36/25	36/25	36/25
135	?	1125/784	231/160	231/160
136	3125/2187	81/56	81/56	75/52
137	729/500	350/243	175/121	13/9
138	?	196/135	196/135	132/91
139	625/432	625/432	16/11	16/11
140	59049/40000	35/24	35/24	35/24
141	?	147/100	147/100	143/98
142	375/256	375/256	22/15	22/15
143	?	72/49	72/49	72/49
144	3200/2187	1296/875	165/112	96/65
145	6075/4096	1792/1215	297/200	65/44
146	?	729/490	49/33	49/33
147	40/27	40/27	40/27	40/27
148	98415/65536	112/75	112/75	112/75
149	?	125/84	125/84	125/84
150	3/2	3/2	3/2	3/2
151	?	189/125	189/125	98/65
152	16384/10935	675/448	264/175	176/117
153	243/160	243/160	121/80	121/80
154	?	245/162	245/162	91/60
155	1024/675	343/225	50/33	50/33
156	19683/12800	875/576	84/55	84/55
157	?	32/21	32/21	32/21
158	192/125	192/125	55/36	55/36
159	?	75/49	75/49	75/49
160	10000/6561	54/35	54/35	20/13
161	972/625	972/625	99/64	99/64
162	?	1215/784	605/392	273/176
163	125/81	125/81	125/81	65/42
164	19683/12500	14/9	14/9	14/9
165	?	196/125	120/77	120/77
166	25/16	25/16	25/16	25/16
167	?	63/40	63/40	63/40
168	10240/6561	3430/2187	11/7	11/7
169	405/256	405/256	198/125	52/33
170	?	1944/1225	784/495	144/91
171	128/81	128/81	128/81	128/81
172	6561/4096	1792/1125	35/22	35/22
173	?	100/63	100/63	78/49
174	8/5	8/5	8/5	8/5
175	?	625/392	77/48	77/48
176	31250/19683	45/28	45/28	45/28
177	81/50	81/50	81/50	21/13
178	?	392/243	196/121	196/121
179	3125/1944	729/448	160/99	160/99
180	6561/4000	175/108	175/108	13/8
181	?	49/30	49/30	49/30
182	625/384	625/384	18/11	18/11
183	?	80/49	80/49	80/49
184	32000/19683	288/175	275/168	64/39
185	3375/2048	1125/686	33/20	33/20
186	?	81/49	81/49	81/49
187	400/243	400/243	200/121	104/63
188	26244/15625	224/135	224/135	208/125
189	?	625/378	128/77	128/77
190	5/3	5/3	5/3	5/3
191	?	42/25	42/25	42/25
192	32768/19683	375/224	176/105	176/105
193	27/16	27/16	27/16	27/16
194	?	1225/729	165/98	91/54
195	2048/1215	686/405	297/175	22/13
196	2187/1280	2187/1280	56/33	56/33
197	?	245/144	245/144	245/144
198	128/75	128/75	75/44	75/44
199	?	250/147	77/45	77/45
200	?	12/7	12/7	12/7
201	216/125	216/125	55/32	55/32
202	?	675/392	675/392	455/264
203	1250/729	243/140	121/70	45/26
204	2187/1250	140/81	140/81	26/15
205	?	392/225	392/225	392/225
206	125/72	125/72	96/55	96/55
207	?	7/4	7/4	7/4
208	?	441/250	110/63	110/63
209	225/128	225/128	44/25	44/25
210	?	432/245	432/245	160/91
211	1280/729	1280/729	99/56	99/56
212	3645/2048	1215/686	175/99	39/22
213	?	1000/567	98/55	98/55
214	16/9	16/9	16/9	16/9
215	59049/32768	224/125	224/125	143/80
216	?	25/14	25/14	25/14
217	9/5	9/5	9/5	9/5
218	?	1134/625	88/49	88/49
219	15625/8748	405/224	405/224	352/195
220	729/400	729/400	363/200	65/36
221	?	49/27	49/27	49/27
222	2048/1125	686/375	20/11	20/11
223	59049/32000	175/96	175/96	117/64
224	?	64/35	64/35	64/35
225	1152/625	625/343	11/6	11/6
226	?	90/49	90/49	90/49
227	4000/2187	324/175	324/175	24/13
228	5832/3125	448/243	224/121	224/121
229	?	729/392	245/132	245/132
230	50/27	50/27	50/27	13/7
231	59049/31250	28/15	28/15	28/15
232	?	625/336	144/77	144/77
233	15/8	15/8	15/8	15/8
234	?	189/100	189/100	49/26
235	4096/2187	1372/729	66/35	66/35
236	243/128	243/128	121/64	104/55
237	?	1225/648	1225/648	91/48
238	256/135	256/135	125/66	99/52
239	19683/10240	2401/1250	21/11	21/11
240	?	40/21	40/21	40/21
241	48/25	48/25	48/25	48/25
242	?	375/196	77/40	77/40
243	12500/6561	27/14	27/14	25/13
244	243/125	243/125	242/125	52/27
245	?	784/405	784/405	176/91
246	625/324	625/324	64/33	64/33
247	19683/10000	35/18	35/18	35/18
248	?	49/25	49/25	49/25
249	125/64	125/64	88/45	88/45
250	?	63/32	63/32	63/32
251	12800/6561	1728/875	55/28	55/28
252	2025/1024	675/343	99/50	65/33
253	?	486/245	196/99	180/91
254	160/81	160/81	160/81	160/81
255	32805/16384	448/225	175/88	143/72
256	?	125/63	125/63	125/63
257	2/1	2/1	2/1	2/1