251edo

251edo is the 54th prime EDO. It has a step size of 4.7808764940239 cents. It is a commatonal and nanotonal EDO. It is consistent and uniquely consistent in the 9-odd-limit.

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	2401/2400	176/175	176/175
2	15625/15552	225/224	121/120	121/120
3	2048/2025	126/125	99/98	99/98
4	?	2430/2401	100/99	91/90
5	81/80	64/63	64/63	64/63
6	?	686/675	55/54	55/54
7	3125/3072	50/49	50/49	50/49
8	128/125	49/48	49/48	49/48
9	?	5625/5488	45/44	40/39
10	250/243	36/35	36/35	36/35
11	?	1029/1000	33/32	33/32
12	16875/16384	405/392	363/350	336/325
13	648/625	28/27	28/27	28/27
14	?	2500/2401	80/77	26/25
15	25/24	25/24	25/24	25/24
16	16384/15625	392/375	22/21	22/21
17	?	360/343	288/275	245/234
18	256/243	21/20	21/20	21/20
19	?	10125/9604	81/77	81/77
20	135/128	135/128	135/128	55/52
21	82944/78125	343/324	128/121	52/49
22	78125/73728	625/588	35/33	35/33
23	16/15	16/15	16/15	16/15
24	?	2401/2250	77/72	77/72
25	2187/2048	15/14	15/14	15/14
26	32768/30375	343/320	264/245	264/245
27	?	2592/2401	121/112	14/13
28	27/25	27/25	27/25	27/25
29	?	10976/10125	88/81	13/12
30	625/576	160/147	160/147	99/91
31	2048/1875	49/45	49/45	49/45
32	?	375/343	12/11	12/11
33	800/729	35/32	35/32	35/32
34	?	686/625	11/10	11/10
35	1125/1024	54/49	54/49	54/49
36	3456/3125	441/400	400/363	182/165
37	?	6075/5488	243/220	72/65
38	10/9	10/9	10/9	10/9
39	?	2401/2160	352/315	39/35
40	18225/16384	125/112	49/44	49/44
41	4096/3645	28/25	28/25	28/25
42	?	2700/2401	432/385	91/81
43	9/8	9/8	9/8	9/8
44	?	1372/1215	198/175	198/175
45	15625/13824	500/441	112/99	112/99
46	256/225	245/216	245/216	162/143
47	?	3125/2744	25/22	25/22
48	729/640	8/7	8/7	8/7
49	?	343/300	55/48	55/48
50	9375/8192	225/196	63/55	63/55
51	144/125	144/125	144/125	144/125
52	?	7203/6250	231/200	15/13
53	125/108	81/70	81/70	81/70
54	32768/28125	784/675	140/121	65/56
55	?	400/343	64/55	64/55
56	729/625	7/6	7/6	7/6
57	?	5625/4802	88/75	88/75
58	75/64	75/64	75/64	75/64
59	18432/15625	147/125	33/28	33/28
60	?	405/343	324/275	245/208
61	32/27	32/27	32/27	13/11
62	?	2401/2025	297/250	108/91
63	1215/1024	25/21	25/21	25/21
64	65536/54675	343/288	144/121	117/98
65	78125/65536	1875/1568	105/88	105/88
66	6/5	6/5	6/5	6/5
67	?	2401/2000	77/64	65/54
68	3125/2592	135/112	121/100	110/91
69	4096/3375	98/81	98/81	98/81
70	?	1250/1029	40/33	40/33
71	243/200	128/105	128/105	128/105
72	?	1372/1125	11/9	11/9
73	625/512	60/49	60/49	60/49
74	768/625	49/40	49/40	49/40
75	?	3375/2744	27/22	16/13
76	100/81	100/81	100/81	100/81
77	?	2401/1944	99/80	26/21
78	10125/8192	243/196	243/196	243/196
79	3888/3125	56/45	56/45	56/45
80	?	3000/2401	96/77	81/65
81	5/4	5/4	5/4	5/4
82	98304/78125	784/625	44/35	44/35
83	78125/62208	432/343	121/96	49/39
84	512/405	63/50	63/50	63/50
85	?	6075/4802	125/99	91/72
86	81/64	80/63	80/63	33/26
87	?	343/270	275/216	275/216
88	15625/12288	125/98	14/11	14/11
89	32/25	32/25	32/25	32/25
90	?	2401/1875	77/60	50/39
91	625/486	9/7	9/7	9/7
92	65536/50625	1029/800	165/128	165/128
93	84375/65536	2025/1568	128/99	84/65
94	162/125	35/27	35/27	35/27
95	?	3125/2401	100/77	13/10
96	125/96	64/49	64/49	64/49
97	4096/3125	98/75	55/42	55/42
98	?	450/343	72/55	72/55
99	320/243	21/16	21/16	21/16
100	?	4116/3125	33/25	33/25
101	675/512	250/189	250/189	143/108
102	20736/15625	896/675	160/121	65/49
103	?	3125/2352	175/132	175/132
104	4/3	4/3	4/3	4/3
105	?	2401/1800	385/288	234/175
106	10935/8192	75/56	75/56	75/56
107	8192/6075	168/125	66/49	66/49
108	?	3240/2401	400/297	35/26
109	27/20	27/20	27/20	27/20
110	?	2744/2025	110/81	65/48
111	3125/2304	200/147	200/147	143/105
112	512/375	49/36	49/36	49/36
113	?	1875/1372	15/11	15/11
114	1000/729	48/35	48/35	48/35
115	?	343/250	11/8	11/8
116	5625/4096	135/98	135/98	135/98
117	864/625	112/81	112/81	91/66
118	?	10000/7203	243/176	18/13
119	25/18	25/18	25/18	25/18
120	65536/46875	1568/1125	88/63	39/28
121	91125/65536	480/343	245/176	245/176
122	1024/729	7/5	7/5	7/5
123	?	3375/2401	108/77	108/77
124	45/32	45/32	45/32	45/32
125	?	343/243	99/70	99/70
126	78125/55296	486/343	140/99	140/99
127	64/45	64/45	64/45	64/45
128	?	4802/3375	77/54	77/54
129	729/512	10/7	10/7	10/7
130	?	343/240	275/192	275/192
131	46875/32768	1125/784	63/44	56/39
132	36/25	36/25	36/25	36/25
133	?	7203/5000	231/160	13/9
134	625/432	81/56	81/56	81/56
135	8192/5625	196/135	175/121	175/121
136	?	500/343	16/11	16/11
137	729/500	35/24	35/24	35/24
138	?	2744/1875	22/15	22/15
139	375/256	72/49	72/49	72/49
140	4608/3125	147/100	147/100	147/100
141	?	2025/1372	81/55	81/55
142	40/27	40/27	40/27	40/27
143	?	2401/1620	297/200	52/35
144	6075/4096	125/84	49/33	49/33
145	16384/10935	112/75	112/75	112/75
146	?	3600/2401	525/352	175/117
147	3/2	3/2	3/2	3/2
148	?	2401/1600	264/175	264/175
149	15625/10368	675/448	121/80	98/65
150	1024/675	189/125	189/125	189/125
151	?	3125/2058	50/33	50/33
152	243/160	32/21	32/21	32/21
153	?	343/225	55/36	55/36
154	3125/2048	75/49	75/49	75/49
155	192/125	49/32	49/32	49/32
156	?	4802/3125	77/50	20/13
157	125/81	54/35	54/35	54/35
158	?	3087/2000	99/64	65/42
159	50625/32768	1215/784	256/165	256/165
160	972/625	14/9	14/9	14/9
161	?	3750/2401	120/77	39/25
162	25/16	25/16	25/16	25/16
163	24576/15625	196/125	11/7	11/7
164	?	540/343	432/275	245/156
165	128/81	63/40	63/40	52/33
166	?	9604/6075	198/125	144/91
167	405/256	100/63	100/63	100/63
168	?	343/216	192/121	78/49
169	78125/49152	625/392	35/22	35/22
170	8/5	8/5	8/5	8/5
171	?	2401/1500	77/48	77/48
172	3125/1944	45/28	45/28	45/28
173	16384/10125	392/243	392/243	392/243
174	?	3888/2401	160/99	21/13
175	81/50	81/50	81/50	81/50
176	?	5488/3375	44/27	13/8
177	625/384	80/49	80/49	80/49
178	1024/625	49/30	49/30	49/30
179	?	1125/686	18/11	18/11
180	400/243	105/64	105/64	105/64
181	?	1029/625	33/20	33/20
182	3375/2048	81/49	81/49	81/49
183	5184/3125	224/135	200/121	91/55
184	?	4000/2401	128/77	108/65
185	5/3	5/3	5/3	5/3
186	?	2401/1440	176/105	117/70
187	54675/32768	375/224	121/72	121/72
188	2048/1215	42/25	42/25	42/25
189	?	4050/2401	500/297	91/54
190	27/16	27/16	27/16	22/13
191	?	686/405	275/162	275/162
192	15625/9216	250/147	56/33	56/33
193	128/75	128/75	128/75	128/75
194	?	9375/5488	75/44	75/44
195	1250/729	12/7	12/7	12/7
196	?	343/200	55/32	55/32
197	28125/16384	675/392	121/70	112/65
198	216/125	140/81	140/81	140/81
199	?	12500/7203	400/231	26/15
200	125/72	125/72	125/72	125/72
201	16384/9375	392/225	110/63	110/63
202	?	600/343	96/55	96/55
203	1280/729	7/4	7/4	7/4
204	?	5488/3125	44/25	44/25
205	225/128	225/128	225/128	143/81
206	27648/15625	441/250	99/56	99/56
207	?	1215/686	175/99	175/99
208	16/9	16/9	16/9	16/9
209	?	2401/1350	385/216	162/91
210	3645/2048	25/14	25/14	25/14
211	32768/18225	224/125	88/49	88/49
212	?	4320/2401	315/176	70/39
213	9/5	9/5	9/5	9/5
214	?	7203/4000	231/128	65/36
215	3125/1728	405/224	363/200	165/91
216	2048/1125	49/27	49/27	49/27
217	?	625/343	20/11	20/11
218	729/400	64/35	64/35	64/35
219	?	686/375	11/6	11/6
220	1875/1024	90/49	90/49	90/49
221	1152/625	147/80	147/80	147/80
222	?	10125/5488	81/44	24/13
223	50/27	50/27	50/27	50/27
224	?	2401/1296	224/121	13/7
225	30375/16384	625/336	245/132	245/132
226	4096/2187	28/15	28/15	28/15
227	?	4500/2401	144/77	144/77
228	15/8	15/8	15/8	15/8
229	?	1176/625	66/35	66/35
230	78125/41472	648/343	121/64	49/26
231	256/135	189/100	189/100	104/55
232	?	15625/8232	125/66	91/48
233	243/128	40/21	40/21	40/21
234	?	343/180	275/144	275/144
235	15625/8192	375/196	21/11	21/11
236	48/25	48/25	48/25	48/25
237	?	2401/1250	77/40	25/13
238	625/324	27/14	27/14	27/14
239	32768/16875	784/405	495/256	325/168
240	?	2000/1029	64/33	64/33
241	243/125	35/18	35/18	35/18
242	?	9375/4802	88/45	39/20
243	125/64	96/49	96/49	96/49
244	6144/3125	49/25	49/25	49/25
245	?	675/343	108/55	108/55
246	160/81	63/32	63/32	63/32
247	?	2401/1215	99/50	99/50
248	2025/1024	125/63	125/63	125/63
249	31104/15625	448/225	240/121	195/98
250	?	3125/1568	175/88	175/88
251	2/1	2/1	2/1	2/1