Table of 167edo intervals

This table of 167edo intervals assumes 13-limit patent val ⟨167 265 388 469 578 618] of 167edo.

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% or with odd limit over 800 are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

Todo: complete table Add missing ratios

#	Cents	Marks	5-limit	7-limit	11-limit	13-limit
0	0.00	P1	1/1
1	7.186					169/168, 196/195
2	14.371			225/224	100/99	144/143
3	21.557			64/63		105/104
4	28.743		81/80
5	35.928					875/858
6	43.114				45/44	729/715
7	50.299			36/35
8	57.485		6561/6400	28/27
9	64.671				80/77	660/637
10	71.856				729/704	176/169
11	79.042	m2	256/243	729/700
12	86.228			21/20
13	93.413				81/77
14	100.599				35/33
15	107.784		16/15
16	114.970				576/539
17	122.156			15/14
18	129.341					14/13
19	136.527					13/12
20	143.713			49/45
21	150.898				12/11
22	158.084			35/32
23	165.269				11/10
24	172.455				875/792
25	179.641		10/9
26	186.826				352/315
27	194.012			125/112
28	201.198			640/567
29	208.383	M2	9/8
30	215.569			245/216, 500/441
31	222.754				154/135
32	229.940			8/7
33	237.126			729/640
34	244.311					52/45
35	251.497			512/441
36	258.683		2560/2187
37	265.868			7/6
38	273.054				90/77
39	280.240					168/143
40	287.425	m3	32/27			13/11
41	294.611			189/160		245/208
42	301.796
43	308.982
44	316.168		6/5
45	323.353
46	330.539
47	337.725
48	344.910
49	352.096
50	359.281					16/13
51	366.467
52	373.653
53	380.838
54	388.024		5/4
55	395.210
56	402.395
57	409.581
58	416.766	M3			14/11
59	423.952
60	431.138
61	438.323
62	445.509
63	452.695
64	459.880
65	467.066
66	474.251
67	481.437
68	488.623
69	495.808	P4	4/3
70	502.994
71	510.180
72	517.365
73	524.551
74	531.737
75	538.922
76	546.108
77	553.293				11/8
78	560.479
79	567.665
80	574.850	d5
81	582.036
82	589.222
83	596.407
84	603.593
85	610.778
86	617.964
87	625.150	A4
88	632.335
89	639.521
90	646.707				16/11
91	653.892
92	661.078
93	668.263
94	675.449
95	682.635
96	689.820
97	697.006
98	704.192	P5	3/2
99	711.377
100	718.563
101	725.749
102	732.934
103	740.120
104	747.305
105	754.491
106	761.677
107	768.862
108	776.048
109	783.234	m6
110	790.419
111	797.605
112	804.790
113	811.976		8/5
114	819.162
115	826.347
116	833.533
117	840.719					13/8
118	847.904
119	855.090
120	862.275
121	869.461
122	876.647
123	883.832		5/3
124	891.018
125	898.204
126	905.389
127	912.575	M6	27/16
128	919.760
129	926.946
130	934.132
131	941.317
132	948.503
133	955.689
134	962.874
135	970.060			7/4
136	977.246
137	984.431
138	991.617	m7
139	998.802
140	1005.988
141	1013.174
142	1020.359
143	1027.545
144	1034.731
145	1041.916
146	1049.102
147	1056.287
148	1063.473
149	1070.659
150	1077.844
151	1085.030
152	1092.216
153	1099.401
154	1106.587
155	1113.772
156	1120.958	M7
157	1128.144
158	1135.329
159	1142.515
160	1149.701
161	1156.886
162	1164.072
163	1171.257
164	1178.443
165	1185.629
166	1192.814
167	1200.000	P8	2/1