279edo

279edo uses a step size of 4.3010752688172 cents, and is a commatonal and nanotonal EDO. It can be thought of as nine sets of 31edo. Divisors are {{#rreplace: 279 93 31 9 3 1|/(\d+)(\D+)?/|\1\2}}. It is consistent and uniquely consistent in the 7-odd-limit.

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	32768/32805	1029/1024	243/242	243/242
2	?	126/125	126/125	126/125
3	?	1728/1715	121/120	121/120
4	81/80	81/80	81/80	81/80
5	2048/2025	2048/2025	100/99	78/77
6	?	686/675	686/675	65/64
7	?	64/63	56/55	56/55
8	3125/3072	49/48	49/48	49/48
9	128/125	50/49	45/44	45/44
10	?	525/512	77/75	77/75
11	?	36/35	36/35	36/35
12	16875/16384	1323/1280	33/32	33/32
13	250/243	250/243	250/243	65/63
14	?	4096/3969	125/121	121/117
15	?	28/27	28/27	26/25
16	?	2401/2304	80/77	80/77
17	25/24	25/24	25/24	25/24
18	16384/15625	256/245	256/245	256/245
19	?	21/20	21/20	21/20
20	?	360/343	81/77	81/77
21	135/128	135/128	132/125	132/125
22	256/243	256/243	256/243	96/91
23	?	343/324	128/121	55/52
24	?	200/189	35/33	35/33
25	2187/2048	1225/1152	900/847	273/256
26	16/15	16/15	16/15	16/15
27	?	343/320	77/72	77/72
28	?	15/14	15/14	15/14
29	?	2205/2048	242/225	130/121
30	27/25	27/25	27/25	14/13
31	32768/30375	2592/2401	121/112	121/112
32	?	175/162	175/162	13/12
33	?	1024/945	250/231	250/231
34	625/576	49/45	49/45	49/45
35	2048/1875	160/147	12/11	12/11
36	?	35/32	35/32	35/32
37	?	192/175	192/175	128/117
38	1125/1024	441/400	11/10	11/10
39	800/729	54/49	54/49	54/49
40	?	567/512	400/363	400/363
41	?	448/405	448/405	72/65
42	18225/16384	2401/2160	256/231	231/208
43	10/9	10/9	10/9	10/9
44	65536/59049	1715/1536	135/121	135/121
45	?	28/25	28/25	28/25
46	?	384/343	121/108	121/108
47	9/8	9/8	9/8	9/8
48	4096/3645	2700/2401	847/750	260/231
49	?	567/500	198/175	44/39
50	?	640/567	112/99	112/99
51	729/640	245/216	245/216	91/80
52	256/225	256/225	25/22	25/22
53	?	343/300	154/135	143/125
54	?	8/7	8/7	8/7
55	9375/8192	147/128	55/48	55/48
56	144/125	144/125	144/125	144/125
57	?	4725/4096	121/105	121/105
58	?	81/70	81/70	15/13
59	?	11907/10240	140/121	140/121
60	125/108	125/108	125/108	65/56
61	32768/28125	512/441	64/55	64/55
62	?	7/6	7/6	7/6
63	?	400/343	90/77	90/77
64	75/64	75/64	75/64	75/64
65	2560/2187	288/245	288/245	168/143
66	?	189/160	33/28	33/28
67	?	405/343	350/297	13/11
68	1215/1024	1215/1024	297/250	77/65
69	32/27	32/27	32/27	32/27
70	?	343/288	144/121	143/120
71	?	25/21	25/21	25/21
72	19683/16384	1225/1024	484/405	484/405
73	6/5	6/5	6/5	6/5
74	65536/54675	2880/2401	77/64	77/64
75	?	135/112	135/112	65/54
76	?	2048/1701	121/100	121/100
77	243/200	98/81	98/81	63/52
78	4096/3375	1600/1323	40/33	40/33
79	?	175/144	175/144	39/32
80	?	128/105	128/105	128/105
81	625/512	49/40	11/9	11/9
82	768/625	60/49	27/22	27/22
83	?	315/256	154/125	154/125
84	?	216/175	216/175	16/13
85	10125/8192	2401/1944	99/80	99/80
86	100/81	100/81	100/81	26/21
87	?	5103/4096	150/121	150/121
88	?	56/45	56/45	56/45
89	?	1280/1029	96/77	96/77
90	5/4	5/4	5/4	5/4
91	8192/6561	1536/1225	675/539	455/363
92	?	63/50	44/35	44/35
93	?	432/343	121/96	121/96
94	81/64	81/64	81/64	81/64
95	512/405	512/405	125/99	125/99
96	?	343/270	308/243	33/26
97	?	80/63	14/11	14/11
98	6561/5120	245/192	245/192	143/112
99	32/25	32/25	32/25	32/25
100	?	1029/800	77/60	77/60
101	?	9/7	9/7	9/7
102	84375/65536	1323/1024	165/128	156/121
103	162/125	162/125	162/125	84/65
104	65536/50625	5120/3969	128/99	128/99
105	?	35/27	35/27	13/10
106	?	2048/1575	100/77	100/77
107	125/96	98/75	98/75	98/75
108	4096/3125	64/49	64/49	64/49
109	?	21/16	21/16	21/16
110	?	450/343	405/308	130/99
111	675/512	675/512	33/25	33/25
112	320/243	320/243	320/243	120/91
113	?	1701/1280	160/121	143/108
114	?	250/189	175/132	65/49
115	10935/8192	2401/1800	512/385	121/91
116	4/3	4/3	4/3	4/3
117	?	343/256	162/121	162/121
118	?	75/56	75/56	75/56
119	?	2304/1715	121/90	121/90
120	27/20	27/20	27/20	27/20
121	8192/6075	3240/2401	400/297	104/77
122	?	875/648	875/648	65/48
123	?	256/189	224/165	224/165
124	2187/1600	49/36	49/36	49/36
125	512/375	200/147	15/11	15/11
126	?	175/128	175/128	175/128
127	?	48/35	48/35	48/35
128	5625/4096	441/320	11/8	11/8
129	864/625	135/98	135/98	91/66
130	?	2835/2048	242/175	242/175
131	?	112/81	112/81	18/13
132	91125/65536	2401/1728	168/121	168/121
133	25/18	25/18	25/18	25/18
134	65536/46875	1024/735	384/275	169/121
135	?	7/5	7/5	7/5
136	?	480/343	108/77	108/77
137	45/32	45/32	45/32	45/32
138	1024/729	1024/729	847/600	128/91
139	?	343/243	99/70	55/39
140	?	486/343	140/99	78/55
141	729/512	729/512	729/512	91/64
142	64/45	64/45	64/45	64/45
143	?	343/240	77/54	77/54
144	?	10/7	10/7	10/7
145	46875/32768	735/512	275/192	242/169
146	36/25	36/25	36/25	36/25
147	?	3456/2401	121/84	121/84
148	?	81/56	81/56	13/9
149	?	4096/2835	175/121	175/121
150	625/432	196/135	196/135	132/91
151	8192/5625	640/441	16/11	16/11
152	?	35/24	35/24	35/24
153	?	256/175	225/154	225/154
154	375/256	147/100	22/15	22/15
155	3200/2187	72/49	72/49	72/49
156	?	189/128	165/112	165/112
157	?	1296/875	875/594	65/44
158	6075/4096	2401/1620	297/200	77/52
159	40/27	40/27	40/27	40/27
160	?	1715/1152	180/121	143/96
161	?	112/75	112/75	112/75
162	98415/65536	512/343	121/81	121/81
163	3/2	3/2	3/2	3/2
164	16384/10935	3087/2048	385/256	182/121
165	?	189/125	189/125	98/65
166	?	2560/1701	121/80	121/80
167	243/160	243/160	243/160	91/60
168	1024/675	1024/675	50/33	50/33
169	?	343/225	343/225	99/65
170	?	32/21	32/21	32/21
171	3125/2048	49/32	49/32	49/32
172	192/125	75/49	75/49	75/49
173	?	1575/1024	77/50	77/50
174	?	54/35	54/35	20/13
175	50625/32768	3969/2560	99/64	99/64
176	125/81	125/81	125/81	65/42
177	?	2048/1323	256/165	121/78
178	?	14/9	14/9	14/9
179	?	1600/1029	120/77	120/77
180	25/16	25/16	25/16	25/16
181	10240/6561	384/245	384/245	224/143
182	?	63/40	11/7	11/7
183	?	540/343	243/154	52/33
184	405/256	405/256	198/125	198/125
185	128/81	128/81	128/81	128/81
186	?	343/216	192/121	143/90
187	?	100/63	35/22	35/22
188	6561/4096	1225/768	1078/675	539/338
189	8/5	8/5	8/5	8/5
190	?	1029/640	77/48	77/48
191	?	45/28	45/28	45/28
192	?	6615/4096	121/75	121/75
193	81/50	81/50	81/50	21/13
194	16384/10125	3888/2401	160/99	160/99
195	?	175/108	175/108	13/8
196	?	512/315	125/77	125/77
197	625/384	49/30	44/27	44/27
198	1024/625	80/49	18/11	18/11
199	?	105/64	105/64	105/64
200	?	288/175	288/175	64/39
201	3375/2048	1323/800	33/20	33/20
202	400/243	81/49	81/49	81/49
203	?	1701/1024	200/121	200/121
204	?	224/135	224/135	108/65
205	54675/32768	2401/1440	128/77	128/77
206	5/3	5/3	5/3	5/3
207	32768/19683	1715/1024	405/242	405/242
208	?	42/25	42/25	42/25
209	?	576/343	121/72	121/72
210	27/16	27/16	27/16	27/16
211	2048/1215	2048/1215	500/297	130/77
212	?	686/405	297/175	22/13
213	?	320/189	56/33	56/33
214	2187/1280	245/144	245/144	143/84
215	128/75	128/75	75/44	75/44
216	?	343/200	77/45	77/45
217	?	12/7	12/7	12/7
218	28125/16384	441/256	55/32	55/32
219	216/125	216/125	216/125	112/65
220	?	14175/8192	121/70	121/70
221	?	140/81	140/81	26/15
222	?	8192/4725	210/121	210/121
223	125/72	125/72	125/72	125/72
224	16384/9375	256/147	96/55	96/55
225	?	7/4	7/4	7/4
226	?	600/343	135/77	135/77
227	225/128	225/128	44/25	44/25
228	1280/729	432/245	432/245	160/91
229	?	567/320	99/56	99/56
230	?	1000/567	175/99	39/22
231	3645/2048	2401/1350	891/500	231/130
232	16/9	16/9	16/9	16/9
233	?	343/192	216/121	143/80
234	?	25/14	25/14	25/14
235	59049/32768	3072/1715	242/135	242/135
236	9/5	9/5	9/5	9/5
237	32768/18225	4320/2401	231/128	231/128
238	?	405/224	405/224	65/36
239	?	1024/567	363/200	363/200
240	729/400	49/27	49/27	49/27
241	2048/1125	800/441	20/11	20/11
242	?	175/96	175/96	117/64
243	?	64/35	64/35	64/35
244	1875/1024	147/80	11/6	11/6
245	1152/625	90/49	81/44	81/44
246	?	945/512	231/125	231/125
247	?	324/175	324/175	24/13
248	30375/16384	2401/1296	224/121	224/121
249	50/27	50/27	50/27	13/7
250	?	4096/2205	225/121	121/65
251	?	28/15	28/15	28/15
252	?	640/343	144/77	144/77
253	15/8	15/8	15/8	15/8
254	4096/2187	2304/1225	847/450	455/242
255	?	189/100	66/35	49/26
256	?	648/343	121/64	104/55
257	243/128	243/128	243/128	91/48
258	256/135	256/135	125/66	125/66
259	?	343/180	154/81	99/52
260	?	40/21	21/11	21/11
261	15625/8192	245/128	245/128	245/128
262	48/25	48/25	48/25	48/25
263	?	3087/1600	77/40	77/40
264	?	27/14	27/14	25/13
265	?	3969/2048	242/125	234/121
266	243/125	243/125	243/125	126/65
267	32768/16875	2560/1323	64/33	64/33
268	?	35/18	35/18	35/18
269	?	1024/525	150/77	150/77
270	125/64	49/25	49/25	49/25
271	6144/3125	96/49	96/49	96/49
272	?	63/32	55/28	55/28
273	?	675/343	675/343	65/33
274	2025/1024	2025/1024	99/50	77/39
275	160/81	160/81	160/81	160/81
276	?	1715/864	240/121	143/72
277	?	125/63	125/63	125/63
278	32805/16384	2048/1029	484/243	363/182
279	2/1	2/1	2/1	2/1