167edo

This commatonal EDO has a step size of 7.185628742515 cents, is the 39th prime EDO. It is consistent and uniquely consistent in the 7-odd-limit.

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	2048/2025	245/243	176/175	169/168
2	20000/19683	126/125	100/99	91/90
3	32805/32768	64/63	64/63	64/63
4	81/80	81/80	55/54	55/54
5	128/125	49/48	49/48	49/48
6	250/243	250/243	45/44	40/39
7	20480/19683	36/35	36/35	36/35
8	6561/6400	28/27	28/27	28/27
9	648/625	405/392	80/77	26/25
10	25/24	25/24	25/24	25/24
11	256/243	256/243	22/21	22/21
12	62500/59049	21/20	21/20	21/20
13	6561/6250	200/189	81/77	81/77
14	135/128	135/128	35/33	35/33
15	16/15	16/15	16/15	16/15
16	3125/2916	729/686	77/72	77/72
17	64000/59049	15/14	15/14	15/14
18	2187/2048	175/162	175/162	14/13
19	27/25	27/25	27/25	13/12
20	625/576	49/45	49/45	49/45
21	800/729	243/224	12/11	12/11
22	65536/59049	35/32	35/32	35/32
23	2187/2000	448/405	11/10	11/10
24	1125/1024	54/49	54/49	54/49
25	10/9	10/9	10/9	10/9
26	4096/3645	567/512	49/44	39/35
27	?	28/25	28/25	28/25
28	17496/15625	640/567	55/49	55/49
29	9/8	9/8	9/8	9/8
30	256/225	245/216	198/175	143/126
31	2500/2187	567/500	25/22	25/22
32	?	8/7	8/7	8/7
33	729/640	280/243	55/48	55/48
34	144/125	144/125	121/105	52/45
35	125/108	125/108	125/108	15/13
36	2560/2187	81/70	64/55	64/55
37	59049/51200	7/6	7/6	7/6
38	729/625	729/625	88/75	88/75
39	75/64	75/64	75/64	75/64
40	32/27	32/27	32/27	13/11
41	15625/13122	189/160	189/160	77/65
42	59049/50000	25/21	25/21	25/21
43	1215/1024	875/729	105/88	105/88
44	6/5	6/5	6/5	6/5
45	3125/2592	98/81	77/64	77/64
46	8000/6561	135/112	40/33	40/33
47	19683/16384	128/105	128/105	63/52
48	243/200	243/200	11/9	11/9
49	625/512	49/40	49/40	49/40
50	100/81	100/81	27/22	16/13
51	8192/6561	216/175	121/98	26/21
52	19683/16000	56/45	56/45	56/45
53	3888/3125	243/196	96/77	96/77
54	5/4	5/4	5/4	5/4
55	512/405	512/405	44/35	44/35
56	25000/19683	63/50	63/50	63/50
57	19683/15625	80/63	80/63	80/63
58	81/64	81/64	14/11	14/11
59	32/25	32/25	32/25	32/25
60	625/486	625/486	77/60	50/39
61	25600/19683	9/7	9/7	9/7
62	6561/5120	35/27	35/27	35/27
63	162/125	162/125	100/77	13/10
64	125/96	64/49	64/49	64/49
65	320/243	320/243	55/42	55/42
66	78125/59049	21/16	21/16	21/16
67	6561/5000	250/189	33/25	33/25
68	675/512	324/245	175/132	65/49
69	4/3	4/3	4/3	4/3
70	8192/6075	980/729	147/110	147/110
71	80000/59049	75/56	75/56	75/56
72	10935/8192	256/189	66/49	35/26
73	27/20	27/20	27/20	27/20
74	512/375	49/36	49/36	49/36
75	1000/729	1000/729	15/11	15/11
76	81920/59049	48/35	48/35	48/35
77	2187/1600	112/81	11/8	11/8
78	864/625	135/98	135/98	104/75
79	25/18	25/18	25/18	18/13
80	1024/729	243/175	88/63	39/28
81	?	7/5	7/5	7/5
82	4374/3125	343/243	108/77	108/77
83	45/32	45/32	45/32	45/32
84	64/45	64/45	64/45	64/45
85	3125/2187	486/343	77/54	77/54
86	?	10/7	10/7	10/7
87	729/512	350/243	63/44	56/39
88	36/25	36/25	36/25	13/9
89	625/432	196/135	175/121	75/52
90	3200/2187	81/56	16/11	16/11
91	59049/40960	35/24	35/24	35/24
92	729/500	729/500	22/15	22/15
93	375/256	72/49	72/49	72/49
94	40/27	40/27	40/27	40/27
95	16384/10935	189/128	49/33	49/33
96	59049/40000	112/75	112/75	112/75
97	6075/4096	729/490	220/147	175/117
98	3/2	3/2	3/2	3/2
99	1024/675	245/162	245/162	98/65
100	10000/6561	189/125	50/33	50/33
101	98415/65536	32/21	32/21	32/21
102	243/160	243/160	55/36	55/36
103	192/125	49/32	49/32	49/32
104	125/81	125/81	77/50	20/13
105	10240/6561	54/35	54/35	54/35
106	19683/12800	14/9	14/9	14/9
107	972/625	972/625	120/77	39/25
108	25/16	25/16	25/16	25/16
109	128/81	128/81	11/7	11/7
110	31250/19683	63/40	63/40	63/40
111	19683/12500	100/63	100/63	100/63
112	405/256	405/256	35/22	35/22
113	8/5	8/5	8/5	8/5
114	3125/1944	392/243	77/48	77/48
115	32000/19683	45/28	45/28	45/28
116	6561/4096	175/108	175/108	21/13
117	81/50	81/50	44/27	13/8
118	625/384	49/30	49/30	49/30
119	400/243	400/243	18/11	18/11
120	32768/19683	105/64	105/64	104/63
121	6561/4000	224/135	33/20	33/20
122	3375/2048	81/49	81/49	81/49
123	5/3	5/3	5/3	5/3
124	2048/1215	1225/729	147/88	117/70
125	?	42/25	42/25	42/25
126	26244/15625	320/189	165/98	130/77
127	27/16	27/16	27/16	22/13
128	128/75	128/75	128/75	128/75
129	1250/729	1250/729	75/44	75/44
130	?	12/7	12/7	12/7
131	2187/1280	140/81	55/32	55/32
132	216/125	216/125	121/70	26/15
133	125/72	125/72	125/72	45/26
134	1280/729	243/140	96/55	96/55
135	?	7/4	7/4	7/4
136	2187/1250	1000/567	44/25	44/25
137	225/128	225/128	175/99	175/99
138	16/9	16/9	16/9	16/9
139	15625/8748	567/320	98/55	98/55
140	?	25/14	25/14	25/14
141	3645/2048	875/486	88/49	70/39
142	9/5	9/5	9/5	9/5
143	2048/1125	49/27	49/27	49/27
144	4000/2187	405/224	20/11	20/11
145	59049/32768	64/35	64/35	64/35
146	729/400	448/243	11/6	11/6
147	1152/625	90/49	90/49	90/49
148	50/27	50/27	50/27	24/13
149	4096/2187	324/175	245/132	13/7
150	59049/32000	28/15	28/15	28/15
151	5832/3125	729/392	144/77	144/77
152	15/8	15/8	15/8	15/8
153	256/135	256/135	66/35	49/26
154	12500/6561	189/100	121/64	91/48
155	59049/31250	40/21	40/21	40/21
156	243/128	243/128	21/11	21/11
157	48/25	48/25	48/25	48/25
158	625/324	625/324	77/40	25/13
159	12800/6561	27/14	27/14	27/14
160	19683/10240	35/18	35/18	35/18
161	243/125	243/125	88/45	39/20
162	125/64	49/25	49/25	49/25
163	160/81	160/81	55/28	55/28
164	65536/32805	63/32	63/32	63/32
165	19683/10000	125/63	99/50	99/50
166	2025/1024	486/245	175/88	175/88
167	2/1	2/1	2/1	2/1