136edo

Welcome to 136edo

136edo = 8edo × 17edo

Distinctively interesting choice for an edo, due to its divisibility by both 8 and 17. This means it can be used to play 8edo music and 17edo music at the same time, using the 136/17 and 136/8 vals respectively.

8.824

136edo has a step size of 8.8235294117647 cents. It is a commatonal EDO, because the step size represents commas like 91/90.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 136edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
7/5, 10/7	0.159
8/7, 7/4	1.762
5/4, 8/5	1.922
13/11, 22/13	1.967
6/5, 5/3	2.006
7/6, 12/7	2.165
16/13, 13/8	2.292
4/3, 3/2	3.927
14/13, 13/7	4.055
15/14, 28/15	4.087
13/10, 20/13	4.214
11/8, 16/11	4.259
16/15, 15/8	5.849
10/9, 9/5	5.933
14/11, 11/7	6.021
9/7, 14/9	6.092
11/10, 20/11	6.181
13/12, 24/13	6.22
9/8, 16/9	7.855
15/13, 26/15	8.141
12/11, 11/6	8.186
15/11, 22/15	10.108
18/13, 13/9	10.147
11/9, 18/11	12.114

Table of 136edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	?	?	91/90
2	?	64/63	55/54	55/54
3	?	?	?	65/64
4	81/80	49/48	49/48	49/48
5	?	?	?	40/39
6	?	28/27	28/27	28/27
7	?	?	?	26/25
8	25/24	25/24	22/21	22/21
9	?	?	?	27/26
10	?	21/20	21/20	21/20
11	?	?	?	52/49
12	16/15	16/15	16/15	16/15
13	?	?	?	117/110
14	?	15/14	15/14	15/14
15	?	?	?	13/12
16	27/25	27/25	27/25	27/25
17	?	?	?	99/91
18	?	35/32	11/10	11/10
19	?	?	?	100/91
20	10/9	10/9	10/9	10/9
21	?	?	?	39/35
22	?	28/25	28/25	28/25
23	?	?	?	44/39
24	9/8	9/8	9/8	9/8
25	?	?	?	91/80
26	?	8/7	8/7	8/7
27	?	?	?	52/45
28	125/108	125/108	63/55	63/55
29	?	?	?	15/13
30	?	7/6	7/6	7/6
31	?	?	?	117/100
32	32/27	32/27	32/27	32/27
33	?	?	?	13/11
34	?	25/21	25/21	25/21
35	?	?	?	65/54
36	6/5	6/5	6/5	6/5
37	?	?	?	91/75
38	?	128/105	11/9	11/9
39	?	?	?	39/32
40	100/81	49/40	49/40	49/40
41	?	?	?	16/13
42	?	56/45	27/22	27/22
43	?	?	?	156/125
44	5/4	5/4	5/4	5/4
45	?	?	?	49/39
46	?	63/50	63/50	63/50
47	?	?	?	33/26
48	32/25	32/25	14/11	14/11
49	?	?	?	50/39
50	?	9/7	9/7	9/7
51	?	?	?	13/10
52	125/96	64/49	55/42	55/42
53	?	?	?	130/99
54	?	21/16	21/16	21/16
55	?	?	?	65/49
56	4/3	4/3	4/3	4/3
57	?	?	?	117/88
58	?	75/56	66/49	66/49
59	?	?	?	35/26
60	27/20	27/20	27/20	27/20
61	?	?	?	160/117
62	?	48/35	11/8	11/8
63	?	?	?	91/66
64	25/18	25/18	25/18	25/18
65	?	?	?	18/13
66	?	7/5	7/5	7/5
67	?	?	?	55/39
68	45/32	45/32	45/32	45/32
69	?	?	?	78/55
70	?	10/7	10/7	10/7
71	?	?	?	13/9
72	36/25	36/25	36/25	36/25
73	?	?	?	75/52
74	?	35/24	16/11	16/11
75	?	?	?	117/80
76	40/27	40/27	40/27	40/27
77	?	?	?	52/35
78	?	112/75	49/33	49/33
79	?	?	?	135/91
80	3/2	3/2	3/2	3/2
81	?	?	?	91/60
82	?	32/21	32/21	32/21
83	?	?	?	99/65
84	125/81	49/32	49/32	49/32
85	?	?	?	20/13
86	?	14/9	14/9	14/9
87	?	?	?	39/25
88	25/16	25/16	11/7	11/7
89	?	?	?	52/33
90	?	63/40	63/40	63/40
91	?	?	?	78/49
92	8/5	8/5	8/5	8/5
93	?	?	?	125/78
94	?	45/28	44/27	44/27
95	?	?	?	13/8
96	81/50	49/30	49/30	49/30
97	?	?	?	64/39
98	?	105/64	18/11	18/11
99	?	?	?	91/55
100	5/3	5/3	5/3	5/3
101	?	?	?	91/54
102	?	42/25	42/25	42/25
103	?	?	?	22/13
104	27/16	27/16	27/16	27/16
105	?	?	?	200/117
106	?	12/7	12/7	12/7
107	?	?	?	26/15
108	125/72	125/72	110/63	110/63
109	?	?	?	45/26
110	?	7/4	7/4	7/4
111	?	?	?	160/91
112	16/9	16/9	16/9	16/9
113	?	?	?	39/22
114	?	25/14	25/14	25/14
115	?	?	?	65/36
116	9/5	9/5	9/5	9/5
117	?	?	?	91/50
118	?	64/35	11/6	11/6
119	?	?	?	117/64
120	50/27	50/27	50/27	50/27
121	?	?	?	13/7
122	?	28/15	28/15	28/15
123	?	?	?	220/117
124	15/8	15/8	15/8	15/8
125	?	?	?	49/26
126	?	40/21	40/21	40/21
127	?	?	?	52/27
128	48/25	48/25	21/11	21/11
129	?	?	?	25/13
130	?	27/14	27/14	27/14
131	?	?	?	39/20
132	125/64	49/25	49/25	49/25
133	?	?	?	65/33
134	?	63/32	63/32	63/32
135	?	?	?	180/91
136	2/1	2/1	2/1	2/1