288edo

288edo uses a step size of 4.1666666666667 cents, and is a commatonal and nanotonal EDO. It can be thought of as nine sets of 32edo, or as 72edo with a four times smaller step size. Divisors are {{#rreplace: 288 144 96 72 48 36 32 24 18 16 12 9 8 6 4 3 2 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 not consistent in the 5-odd-limit. It is contorted in 5-limit.

7-limit: 1728/1715

11-limit: 59049/58564 243/242 30375/30184 6912/6875 1375/1372 5632/5625 15488/15435

13-limit: 24300/24167 55296/54925 2200/2197 1701/1690 66825/66248 86625/86528 847/845 33275/33124 55296/55055 31250/31213 4096/4095 59049/58240 29403/29120 53361/53248 65219/65000 14641/14560 22113/22000 85293/84035 3159/3136 78624/78125 30888/30625 1001/1000 84942/84035 1573/1568 21632/21609 10985/10976

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	225/224	176/175	176/175
2	?	126/125	99/98	99/98
3	81/80	81/80	81/80	81/80
4	?	3645/3584	891/875	105/104
5	?	4000/3969	896/891	66/65
6	2048/2025	2048/2025	100/99	91/90
7	?	64/63	64/63	64/63
8	?	50/49	50/49	50/49
9	128/125	128/125	45/44	45/44
10	?	36/35	36/35	36/35
11	?	405/392	77/75	40/39
12	648/625	648/625	33/32	33/32
13	?	729/700	363/350	336/325
14	?	2240/2187	1120/1089	27/26
15	250/243	250/243	125/121	91/88
16	?	2500/2401	80/77	26/25
17	?	28/27	28/27	28/27
18	25/24	25/24	25/24	25/24
19	?	392/375	22/21	22/21
20	?	21/20	21/20	21/20
21	135/128	135/128	132/125	96/91
22	?	1323/1250	297/280	104/99
23	?	1701/1600	847/800	55/52
24	256/243	256/243	128/121	52/49
25	?	200/189	200/189	117/110
26	?	625/588	35/33	35/33
27	16/15	16/15	16/15	16/15
28	?	15/14	15/14	15/14
29	?	672/625	77/72	77/72
30	27/25	27/25	27/25	27/25
31	?	243/224	121/112	14/13
32	?	3402/3125	693/640	225/208
33	2187/2000	2187/2000	320/297	99/91
34	?	784/729	250/231	13/12
35	?	160/147	160/147	160/147
36	625/576	375/343	12/11	12/11
37	?	49/45	49/45	49/45
38	?	35/32	35/32	35/32
39	1125/1024	686/625	11/10	11/10
40	?	441/400	441/400	315/286
41	?	567/512	567/512	72/65
42	800/729	800/729	400/363	182/165
43	?	625/567	256/231	195/176
44	?	448/405	448/405	39/35
45	10/9	10/9	10/9	10/9
46	?	125/112	49/44	49/44
47	?	28/25	28/25	28/25
48	9/8	9/8	9/8	9/8
49	?	2025/1792	198/175	175/156
50	?	567/500	567/500	44/39
51	729/640	729/640	363/320	91/81
52	?	640/567	640/567	192/169
53	?	500/441	112/99	112/99
54	256/225	256/225	25/22	25/22
55	?	8/7	8/7	8/7
56	?	225/196	63/55	63/55
57	144/125	144/125	55/48	55/48
58	?	81/70	81/70	81/70
59	?	3645/3136	231/200	15/13
60	729/625	729/625	297/256	297/256
61	?	6561/5600	800/693	52/45
62	?	280/243	140/121	65/56
63	125/108	125/108	64/55	64/55
64	?	784/675	90/77	90/77
65	?	7/6	7/6	7/6
66	75/64	75/64	75/64	75/64
67	?	147/125	33/28	33/28
68	?	189/160	189/160	169/144
69	1215/1024	1215/1024	297/250	108/91
70	?	2000/1701	1000/847	13/11
71	?	3125/2646	350/297	208/175
72	32/27	32/27	32/27	32/27
73	?	25/21	25/21	25/21
74	?	448/375	105/88	105/88
75	6/5	6/5	6/5	6/5
76	?	135/112	135/112	135/112
77	?	756/625	77/64	77/64
78	243/200	243/200	121/100	110/91
79	?	2048/1701	1024/847	63/52
80	?	875/729	875/726	396/325
81	3125/2592	1250/1029	40/33	40/33
82	?	98/81	98/81	39/32
83	?	60/49	60/49	60/49
84	625/512	625/512	11/9	11/9
85	?	49/40	49/40	49/40
86	?	243/196	121/98	16/13
87	3888/3125	3087/2500	99/80	99/80
88	?	2187/1750	1089/875	325/264
89	?	896/729	448/363	26/21
90	100/81	100/81	100/81	100/81
91	?	625/504	96/77	96/77
92	?	56/45	56/45	56/45
93	5/4	5/4	5/4	5/4
94	?	784/625	44/35	44/35
95	?	63/50	63/50	63/50
96	81/64	81/64	81/64	49/39
97	?	3969/3125	891/700	208/165
98	?	5000/3969	1120/891	33/26
99	512/405	512/405	125/99	91/72
100	?	80/63	80/63	80/63
101	?	125/98	14/11	14/11
102	32/25	32/25	32/25	32/25
103	?	9/7	9/7	9/7
104	?	2025/1568	77/60	50/39
105	162/125	162/125	162/125	162/125
106	?	729/560	363/280	84/65
107	?	2800/2187	1400/1089	135/104
108	625/486	625/486	128/99	128/99
109	?	1568/1215	100/77	13/10
110	?	35/27	35/27	35/27
111	125/96	125/96	72/55	72/55
112	?	98/75	55/42	55/42
113	?	21/16	21/16	21/16
114	675/512	675/512	33/25	33/25
115	?	1323/1000	297/224	130/99
116	?	1701/1280	847/640	169/128
117	320/243	320/243	160/121	65/49
118	?	250/189	250/189	117/88
119	?	896/675	175/132	175/132
120	4/3	4/3	4/3	4/3
121	?	75/56	75/56	75/56
122	?	168/125	66/49	66/49
123	27/20	27/20	27/20	27/20
124	?	1215/896	539/400	35/26
125	?	1701/1250	693/512	88/65
126	2187/1600	2187/1600	400/297	182/135
127	?	256/189	256/189	65/48
128	?	200/147	200/147	143/105
129	512/375	512/375	15/11	15/11
130	?	48/35	48/35	48/35
131	?	135/98	135/98	135/98
132	864/625	343/250	11/8	11/8
133	?	243/175	242/175	242/175
134	?	2187/1568	693/500	18/13
135	1000/729	1000/729	500/363	91/66
136	?	3125/2268	320/231	104/75
137	?	112/81	112/81	39/28
138	25/18	25/18	25/18	25/18
139	?	625/448	88/63	88/63
140	?	7/5	7/5	7/5
141	45/32	45/32	45/32	45/32
142	?	882/625	99/70	99/70
143	?	567/400	567/400	55/39
144	729/512	729/512	363/256	147/104
145	?	800/567	800/567	78/55
146	?	625/441	140/99	140/99
147	64/45	64/45	64/45	64/45
148	?	10/7	10/7	10/7
149	?	896/625	63/44	63/44
150	36/25	36/25	36/25	36/25
151	?	81/56	81/56	56/39
152	?	4536/3125	231/160	75/52
153	729/500	729/500	363/250	132/91
154	?	3136/2187	1000/693	13/9
155	?	350/243	175/121	175/121
156	625/432	500/343	16/11	16/11
157	?	196/135	196/135	117/80
158	?	35/24	35/24	35/24
159	375/256	375/256	22/15	22/15
160	?	147/100	147/100	147/100
161	?	189/128	189/128	96/65
162	3200/2187	3200/2187	297/200	135/91
163	?	2500/1701	1024/693	65/44
164	?	1792/1215	800/539	52/35
165	40/27	40/27	40/27	40/27
166	?	125/84	49/33	49/33
167	?	112/75	112/75	112/75
168	3/2	3/2	3/2	3/2
169	?	675/448	264/175	175/117
170	?	189/125	189/125	176/117
171	243/160	243/160	121/80	98/65
172	?	2560/1701	1280/847	256/169
173	?	2000/1323	448/297	99/65
174	1024/675	1024/675	50/33	50/33
175	?	32/21	32/21	32/21
176	?	75/49	75/49	75/49
177	192/125	192/125	55/36	55/36
178	?	49/32	49/32	49/32
179	?	1215/784	77/50	20/13
180	972/625	972/625	99/64	99/64
181	?	2187/1400	1089/700	208/135
182	?	1120/729	560/363	65/42
183	125/81	125/81	125/81	125/81
184	?	3125/2016	120/77	39/25
185	?	14/9	14/9	14/9
186	25/16	25/16	25/16	25/16
187	?	196/125	11/7	11/7
188	?	63/40	63/40	63/40
189	405/256	405/256	198/125	144/91
190	?	3969/2500	891/560	52/33
191	?	5103/3200	1400/891	165/104
192	128/81	128/81	128/81	78/49
193	?	100/63	100/63	100/63
194	?	625/392	35/22	35/22
195	8/5	8/5	8/5	8/5
196	?	45/28	45/28	45/28
197	?	1008/625	77/48	77/48
198	81/50	81/50	81/50	81/50
199	?	729/448	363/224	21/13
200	?	3500/2187	1750/1089	528/325
201	3125/1944	3125/1944	160/99	160/99
202	?	392/243	125/77	13/8
203	?	80/49	80/49	80/49
204	625/384	625/384	18/11	18/11
205	?	49/30	49/30	49/30
206	?	81/49	81/49	64/39
207	3375/2048	1029/625	33/20	33/20
208	?	1323/800	1323/800	325/198
209	?	1701/1024	847/512	104/63
210	400/243	400/243	200/121	91/55
211	?	625/378	128/77	128/77
212	?	224/135	224/135	117/70
213	5/3	5/3	5/3	5/3
214	?	375/224	147/88	147/88
215	?	42/25	42/25	42/25
216	27/16	27/16	27/16	27/16
217	?	5292/3125	297/175	175/104
218	?	1701/1000	847/500	22/13
219	2048/1215	2048/1215	500/297	91/54
220	?	320/189	320/189	288/169
221	?	250/147	56/33	56/33
222	128/75	128/75	75/44	75/44
223	?	12/7	12/7	12/7
224	?	675/392	77/45	77/45
225	216/125	216/125	55/32	55/32
226	?	243/140	121/70	112/65
227	?	10935/6272	693/400	45/26
228	1250/729	1250/729	512/297	455/264
229	?	6272/3645	400/231	26/15
230	?	140/81	140/81	140/81
231	125/72	125/72	96/55	96/55
232	?	392/225	110/63	110/63
233	?	7/4	7/4	7/4
234	225/128	225/128	44/25	44/25
235	?	441/250	99/56	99/56
236	?	567/320	567/320	169/96
237	1280/729	1280/729	640/363	162/91
238	?	1000/567	1000/567	39/22
239	?	3125/1764	175/99	175/99
240	16/9	16/9	16/9	16/9
241	?	25/14	25/14	25/14
242	?	224/125	88/49	88/49
243	9/5	9/5	9/5	9/5
244	?	405/224	405/224	70/39
245	?	1134/625	231/128	231/128
246	729/400	729/400	363/200	165/91
247	?	1024/567	1024/567	65/36
248	?	800/441	800/441	572/315
249	2048/1125	625/343	20/11	20/11
250	?	49/27	49/27	49/27
251	?	90/49	90/49	90/49
252	1152/625	686/375	11/6	11/6
253	?	147/80	147/80	147/80
254	?	729/392	231/125	24/13
255	4000/2187	4000/2187	297/160	182/99
256	?	3125/1701	1280/693	325/176
257	?	448/243	224/121	13/7
258	50/27	50/27	50/27	50/27
259	?	625/336	144/77	144/77
260	?	28/15	28/15	28/15
261	15/8	15/8	15/8	15/8
262	?	1176/625	66/35	66/35
263	?	189/100	189/100	169/90
264	243/128	243/128	121/64	49/26
265	?	3200/1701	1331/700	104/55
266	?	2500/1323	560/297	99/52
267	256/135	256/135	125/66	91/48
268	?	40/21	40/21	40/21
269	?	375/196	21/11	21/11
270	48/25	48/25	48/25	48/25
271	?	27/14	27/14	27/14
272	?	2401/1250	77/40	25/13
273	243/125	243/125	242/125	176/91
274	?	2187/1120	1089/560	52/27
275	?	1400/729	700/363	325/168
276	625/324	625/324	64/33	64/33
277	?	784/405	150/77	39/20
278	?	35/18	35/18	35/18
279	125/64	125/64	88/45	88/45
280	?	49/25	49/25	49/25
281	?	63/32	63/32	63/32
282	2025/1024	2025/1024	99/50	99/50
283	?	3969/2000	891/448	65/33
284	?	5103/2560	1750/891	208/105
285	160/81	160/81	160/81	160/81
286	?	125/63	125/63	125/63
287	?	448/225	175/88	175/88
288	2/1	2/1	2/1	2/1