132edo

Welcome to 132edo

132edo = 11edo × 12edo

Distinctively interesting choice for an edo, due to its divisibility by both 11 and 12. This means it can be used to play 11edo music and 12edo music at the same time, using the 132/12 and 132/11 vals respectively.

9.091

132edo has a step size of 9.0909090909091 cents. It is a commatonal EDO, because the step size represents commas like 190/189, 3125/3072, 78/77, 153/152.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 132edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
18/13, 13/9	0.254
13/10, 20/13	0.332
10/9, 9/5	0.586
14/11, 11/7	0.674
4/3, 3/2	1.955
13/12, 24/13	2.209
15/13, 26/15	2.287
6/5, 5/3	2.541
11/8, 16/11	3.228
8/7, 7/4	3.901
9/8, 16/9	3.91
16/13, 13/8	4.164
5/4, 8/5	4.496
12/11, 11/6	5.183
7/6, 12/7	5.856
16/15, 15/8	6.451
11/9, 18/11	7.138
13/11, 22/13	7.392
11/10, 20/11	7.723
9/7, 14/9	7.811
14/13, 13/7	8.065
7/5, 10/7	8.397
15/11, 22/15	9.678
15/14, 28/15	10.352

Table of 132edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	3125/3072	224/225	99/98	78/77
2	81/80	50/49	50/49	50/49
3	16875/16384	64/63	45/44	45/44
4	2048/2025	405/392	55/54	55/54
5	250/243	36/35	36/35	36/35
6	128/125	128/125	33/32	33/32
7	25/24	25/24	25/24	25/24
8	648/625	28/27	28/27	26/25
9	135/128	135/128	22/21	22/21
10	6561/6250	21/20	21/20	21/20
11	256/243	256/243	35/33	35/33
12	3125/2916	15/14	15/14	15/14
13	16/15	16/15	16/15	16/15
14	625/576	243/224	77/72	77/72
15	27/25	27/25	27/25	13/12
16	1125/1024	672/625	12/11	12/11
17	2187/2000	35/32	35/32	35/32
18	800/729	49/45	49/45	49/45
19	2048/1875	125/112	11/10	11/10
20	10/9	10/9	10/9	10/9
21	3456/3125	448/405	49/44	49/44
22	9/8	9/8	9/8	9/8
23	9375/8192	28/25	25/22	25/22
24	729/640	225/196	112/99	44/39
25	2500/2187	8/7	8/7	8/7
26	256/225	256/225	55/48	55/48
27	125/108	81/70	81/70	15/13
28	144/125	144/125	90/77	52/45
29	75/64	75/64	64/55	64/55
30	729/625	7/6	7/6	7/6
31	1215/1024	784/675	33/28	13/11
32	15625/13122	25/21	25/21	25/21
33	32/27	32/27	32/27	32/27
34	3125/2592	135/112	135/112	77/65
35	6/5	6/5	6/5	6/5
36	625/512	448/375	40/33	40/33
37	243/200	60/49	60/49	39/32
38	8000/6561	98/81	27/22	27/22
39	4096/3375	243/196	11/9	11/9
40	100/81	49/40	49/40	16/13
41	768/625	768/625	96/77	96/77
42	5/4	5/4	5/4	5/4
43	3888/3125	56/45	56/45	56/45
44	81/64	81/64	44/35	44/35
45	19683/15625	63/50	63/50	49/39
46	512/405	512/405	14/11	14/11
47	625/486	9/7	9/7	9/7
48	32/25	32/25	32/25	32/25
49	125/96	125/96	77/60	77/60
50	162/125	35/27	35/27	13/10
51	675/512	675/512	55/42	55/42
52	6561/5000	21/16	21/16	21/16
53	320/243	98/75	98/75	98/75
54	4096/3125	75/56	33/25	33/25
55	4/3	4/3	4/3	4/3
56	3125/2304	896/675	66/49	66/49
57	27/20	27/20	27/20	27/20
58	5625/4096	168/125	15/11	15/11
59	2187/1600	135/98	110/81	88/65
60	1000/729	48/35	48/35	48/35
61	512/375	512/375	11/8	11/8
62	25/18	25/18	25/18	18/13
63	864/625	112/81	108/77	104/75
64	45/32	45/32	45/32	45/32
65	4374/3125	7/5	7/5	7/5
66	729/512	729/512	99/70	55/39
67	3125/2187	10/7	10/7	10/7
68	64/45	64/45	63/44	63/44
69	625/432	81/56	77/54	75/52
70	36/25	36/25	36/25	13/9
71	375/256	375/256	16/11	16/11
72	729/500	35/24	35/24	35/24
73	3200/2187	196/135	81/55	65/44
74	8192/5625	125/84	22/15	22/15
75	40/27	40/27	40/27	40/27
76	4608/3125	675/448	49/33	49/33
77	3/2	3/2	3/2	3/2
78	3125/2048	112/75	50/33	50/33
79	243/160	75/49	75/49	75/49
80	10000/6561	32/21	32/21	32/21
81	1024/675	1024/675	55/36	55/36
82	125/81	49/32	49/32	20/13
83	192/125	192/125	99/64	99/64
84	25/16	25/16	25/16	25/16
85	972/625	14/9	14/9	14/9
86	405/256	405/256	11/7	11/7
87	19683/12500	63/40	63/40	63/40
88	128/81	128/81	35/22	35/22
89	3125/1944	45/28	45/28	45/28
90	8/5	8/5	8/5	8/5
91	625/384	625/384	77/48	77/48
92	81/50	80/49	80/49	13/8
93	3375/2048	392/243	18/11	18/11
94	6561/4000	81/49	44/27	44/27
95	400/243	49/30	49/30	49/30
96	1024/625	375/224	33/20	33/20
97	5/3	5/3	5/3	5/3
98	5184/3125	224/135	147/88	130/77
99	27/16	27/16	27/16	27/16
100	26244/15625	42/25	42/25	42/25
101	2048/1215	675/392	56/33	22/13
102	1250/729	12/7	12/7	12/7
103	128/75	128/75	55/32	55/32
104	125/72	125/72	77/45	45/26
105	216/125	140/81	121/70	26/15
106	225/128	225/128	96/55	96/55
107	2187/1250	7/4	7/4	7/4
108	1280/729	392/225	99/56	39/22
109	15625/8748	25/14	25/14	25/14
110	16/9	16/9	16/9	16/9
111	3125/1728	405/224	88/49	88/49
112	9/5	9/5	9/5	9/5
113	1875/1024	224/125	20/11	20/11
114	729/400	90/49	90/49	90/49
115	4000/2187	49/27	49/27	49/27
116	2048/1125	625/336	11/6	11/6
117	50/27	50/27	50/27	13/7
118	1152/625	448/243	144/77	144/77
119	15/8	15/8	15/8	15/8
120	5832/3125	28/15	28/15	28/15
121	243/128	243/128	66/35	66/35
122	12500/6561	40/21	40/21	40/21
123	256/135	256/135	21/11	21/11
124	625/324	27/14	27/14	25/13
125	48/25	48/25	48/25	48/25
126	125/64	125/64	64/33	64/33
127	243/125	35/18	35/18	35/18
128	2025/1024	784/405	55/28	55/28
129	19683/10000	63/32	63/32	63/32
130	160/81	49/25	49/25	49/25
131	6144/3125	225/112	99/50	77/39
132	2/1	2/1	2/1	2/1