233edo

233edo is the 51st prime EDO. It has a step size of 5.1502145922747 cents. It is a commatonal and nanotonal EDO. It is consistent and uniquely consistent in the 7-odd-limit.

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	225/224	225/224	225/224
2	32768/32805	126/125	126/125	126/125
3	81/80	81/80	81/80	81/80
4	?	245/243	100/99	78/77
5	2048/2025	875/864	625/616	65/64
6	3125/3072	64/63	56/55	56/55
7	?	49/48	45/44	45/44
8	128/125	128/125	128/125	128/125
9	16875/16384	36/35	36/35	36/35
10	?	405/392	33/32	33/32
11	250/243	250/243	125/121	65/63
12	?	729/700	363/350	27/26
13	?	28/27	28/27	26/25
14	25/24	25/24	25/24	25/24
15	?	256/245	256/245	169/162
16	16384/15625	21/20	21/20	21/20
17	135/128	135/128	135/128	104/99
18	?	1296/1225	132/125	96/91
19	256/243	256/243	128/121	55/52
20	2187/2048	200/189	35/33	35/33
21	?	625/588	375/352	180/169
22	16/15	16/15	16/15	16/15
23	?	15/14	15/14	15/14
24	?	672/625	275/256	130/121
25	27/25	27/25	27/25	14/13
26	?	243/224	121/112	121/112
27	32768/30375	175/162	175/162	13/12
28	625/576	625/576	625/576	99/91
29	?	49/45	12/11	12/11
30	2048/1875	35/32	35/32	35/32
31	1125/1024	192/175	192/175	128/117
32	?	54/49	11/10	11/10
33	800/729	567/512	400/363	182/165
34	18225/16384	625/567	625/567	72/65
35	?	448/405	256/231	231/208
36	10/9	10/9	10/9	10/9
37	?	125/112	125/112	125/112
38	65536/59049	28/25	28/25	28/25
39	9/8	9/8	9/8	9/8
40	?	2025/1792	704/625	91/81
41	4096/3645	567/500	198/175	44/39
42	729/640	640/567	112/99	112/99
43	?	245/216	25/22	25/22
44	256/225	256/225	256/225	256/225
45	9375/8192	8/7	8/7	8/7
46	?	147/128	55/48	55/48
47	144/125	144/125	144/125	144/125
48	?	81/70	81/70	15/13
49	?	280/243	140/121	52/45
50	125/108	125/108	125/108	65/56
51	?	512/441	64/55	64/55
52	32768/28125	7/6	7/6	7/6
53	75/64	75/64	75/64	75/64
54	?	147/125	88/75	88/75
55	2560/2187	189/160	33/28	33/28
56	1215/1024	1215/1024	350/297	13/11
57	?	1458/1225	297/250	77/65
58	32/27	32/27	32/27	32/27
59	19683/16384	25/21	25/21	25/21
60	?	448/375	448/375	405/338
61	6/5	6/5	6/5	6/5
62	?	135/112	77/64	77/64
63	65536/54675	756/625	756/625	65/54
64	243/200	243/200	121/100	63/52
65	?	98/81	40/33	40/33
66	4096/3375	175/144	175/144	39/32
67	625/512	128/105	128/105	128/105
68	?	49/40	11/9	11/9
69	768/625	315/256	275/224	275/224
70	10125/8192	216/175	154/125	16/13
71	?	243/196	99/80	99/80
72	100/81	100/81	100/81	26/21
73	?	625/504	625/504	81/65
74	?	56/45	56/45	56/45
75	5/4	5/4	5/4	5/4
76	?	784/625	784/625	169/135
77	8192/6561	63/50	44/35	44/35
78	81/64	81/64	81/64	81/64
79	?	1225/972	125/99	91/72
80	512/405	512/405	512/405	33/26
81	6561/5120	80/63	14/11	14/11
82	?	125/98	125/98	125/98
83	32/25	32/25	32/25	32/25
84	84375/65536	9/7	9/7	9/7
85	?	1323/1024	165/128	104/81
86	162/125	162/125	162/125	84/65
87	?	729/560	128/99	128/99
88	65536/50625	35/27	35/27	13/10
89	125/96	125/96	125/96	125/96
90	?	64/49	64/49	64/49
91	4096/3125	21/16	21/16	21/16
92	675/512	675/512	675/512	130/99
93	?	324/245	33/25	33/25
94	320/243	320/243	160/121	160/121
95	10935/8192	250/189	175/132	65/49
96	?	896/675	512/385	121/91
97	4/3	4/3	4/3	4/3
98	?	75/56	75/56	75/56
99	?	168/125	168/125	168/125
100	27/20	27/20	27/20	27/20
101	?	980/729	400/297	104/77
102	8192/6075	875/648	625/462	65/48
103	2187/1600	256/189	224/165	224/165
104	?	49/36	15/11	15/11
105	512/375	175/128	175/128	175/128
106	5625/4096	48/35	48/35	48/35
107	?	135/98	11/8	11/8
108	864/625	864/625	500/363	91/66
109	91125/65536	243/175	242/175	18/13
110	?	112/81	112/81	104/75
111	25/18	25/18	25/18	25/18
112	?	625/448	384/275	169/121
113	65536/46875	7/5	7/5	7/5
114	45/32	45/32	45/32	45/32
115	?	882/625	176/125	128/91
116	1024/729	486/343	99/70	55/39
117	729/512	343/243	140/99	78/55
118	?	625/441	125/88	91/64
119	64/45	64/45	64/45	64/45
120	46875/32768	10/7	10/7	10/7
121	?	735/512	275/192	242/169
122	36/25	36/25	36/25	36/25
123	?	81/56	81/56	75/52
124	?	350/243	175/121	13/9
125	625/432	625/432	363/250	132/91
126	?	196/135	16/11	16/11
127	8192/5625	35/24	35/24	35/24
128	375/256	256/175	256/175	256/175
129	?	72/49	22/15	22/15
130	3200/2187	189/128	165/112	165/112
131	6075/4096	1296/875	875/594	65/44
132	?	729/490	297/200	77/52
133	40/27	40/27	40/27	40/27
134	98415/65536	125/84	125/84	125/84
135	?	112/75	112/75	112/75
136	3/2	3/2	3/2	3/2
137	?	675/448	385/256	182/121
138	16384/10935	189/125	189/125	98/65
139	243/160	243/160	121/80	121/80
140	?	245/162	50/33	50/33
141	1024/675	875/576	875/576	99/65
142	3125/2048	32/21	32/21	32/21
143	?	49/32	49/32	49/32
144	192/125	192/125	192/125	169/110
145	50625/32768	54/35	54/35	20/13
146	?	1120/729	99/64	99/64
147	125/81	125/81	125/81	65/42
148	?	2048/1323	256/165	81/52
149	?	14/9	14/9	14/9
150	25/16	25/16	25/16	25/16
151	?	196/125	196/125	169/108
152	10240/6561	63/40	11/7	11/7
153	405/256	405/256	405/256	52/33
154	?	1944/1225	198/125	144/91
155	128/81	128/81	128/81	128/81
156	6561/4096	100/63	35/22	35/22
157	?	625/392	625/392	270/169
158	8/5	8/5	8/5	8/5
159	?	45/28	45/28	45/28
160	?	1008/625	825/512	130/81
161	81/50	81/50	81/50	21/13
162	?	392/243	160/99	160/99
163	16384/10125	175/108	125/77	13/8
164	625/384	512/315	448/275	275/169
165	?	49/30	18/11	18/11
166	1024/625	105/64	105/64	105/64
167	3375/2048	288/175	288/175	64/39
168	?	81/49	33/20	33/20
169	400/243	400/243	200/121	91/55
170	54675/32768	625/378	625/378	108/65
171	?	224/135	128/77	128/77
172	5/3	5/3	5/3	5/3
173	?	375/224	375/224	375/224
174	32768/19683	42/25	42/25	42/25
175	27/16	27/16	27/16	27/16
176	?	1225/729	500/297	91/54
177	2048/1215	1701/1000	297/175	22/13
178	2187/1280	320/189	56/33	56/33
179	?	245/144	75/44	75/44
180	128/75	128/75	128/75	128/75
181	28125/16384	12/7	12/7	12/7
182	?	441/256	55/32	55/32
183	216/125	216/125	216/125	112/65
184	?	243/140	121/70	45/26
185	?	140/81	140/81	26/15
186	125/72	125/72	125/72	125/72
187	?	256/147	96/55	96/55
188	16384/9375	7/4	7/4	7/4
189	225/128	225/128	225/128	225/128
190	?	432/245	44/25	44/25
191	1280/729	567/320	99/56	99/56
192	3645/2048	1000/567	175/99	39/22
193	?	2187/1225	625/352	162/91
194	16/9	16/9	16/9	16/9
195	59049/32768	25/14	25/14	25/14
196	?	224/125	224/125	224/125
197	9/5	9/5	9/5	9/5
198	?	405/224	231/128	231/128
199	32768/18225	875/486	875/484	65/36
200	729/400	729/400	363/200	165/91
201	?	49/27	20/11	20/11
202	2048/1125	175/96	175/96	117/64
203	1875/1024	64/35	64/35	64/35
204	?	90/49	11/6	11/6
205	1152/625	945/512	825/448	182/99
206	30375/16384	324/175	231/125	24/13
207	?	448/243	224/121	224/121
208	50/27	50/27	50/27	13/7
209	?	625/336	512/275	121/65
210	?	28/15	28/15	28/15
211	15/8	15/8	15/8	15/8
212	?	1176/625	704/375	169/90
213	4096/2187	189/100	66/35	49/26
214	243/128	243/128	121/64	104/55
215	?	1225/648	125/66	91/48
216	256/135	256/135	256/135	99/52
217	15625/8192	40/21	21/11	21/11
218	?	245/128	245/128	245/128
219	48/25	48/25	48/25	48/25
220	?	27/14	27/14	25/13
221	?	1400/729	495/256	52/27
222	243/125	243/125	242/125	126/65
223	?	784/405	64/33	64/33
224	32768/16875	35/18	35/18	35/18
225	125/64	125/64	125/64	125/64
226	?	49/25	49/25	49/25
227	6144/3125	63/32	55/28	55/28
228	2025/1024	1728/875	1232/625	65/33
229	?	486/245	99/50	77/39
230	160/81	160/81	160/81	160/81
231	32805/16384	125/63	125/63	125/63
232	?	448/225	448/225	363/182
233	2/1	2/1	2/1	2/1