182edo

Welcome to 182edo

182edo = 13edo × 14edo

Distinctively interesting choice for an edo, due to its divisibility by both 13 and 14. This means it can be used to play 13edo music and 14edo music at the same time, using the 182/14 and 182/13 vals respectively.

6.593

182edo has a step size of 6.5934065934066 cents. It is a commatonal EDO, because the step size represents commas like 81/80.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 182edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
13/12, 24/13	0.111
11/10, 20/11	0.169
16/15, 15/8	0.357
8/7, 7/4	0.405
15/14, 28/15	0.761
14/11, 11/7	2.123
7/5, 10/7	2.292
11/8, 16/11	2.528
5/4, 8/5	2.697
15/13, 26/15	2.808
15/11, 22/15	2.885
18/13, 13/9	2.943
4/3, 3/2	3.054
16/13, 13/8	3.165
7/6, 12/7	3.459
14/13, 13/7	3.57
12/11, 11/6	5.582
13/11, 22/13	5.693
6/5, 5/3	5.751
13/10, 20/13	5.862
9/8, 16/9	6.108
9/7, 14/9	6.513
11/9, 18/11	8.636
10/9, 9/5	8.805

Table of 182edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	81/80	81/80	81/80	81/80
2	6561/6400	3645/3584	99/98	78/77
3	32768/32805	32768/32805	121/120	91/90
4	2048/2025	2048/2025	56/55	56/55
5	128/125	64/63	45/44	45/44
6	648/625	36/35	36/35	36/35
7	3125/3072	405/392	55/54	55/54
8	16875/16384	6561/6272	33/32	33/32
9	?	?	125/121	26/25
10	16384/15625	2240/2187	80/77	80/77
11	250/243	28/27	28/27	28/27
12	25/24	21/20	21/20	21/20
13	135/128	135/128	22/21	22/21
14	2187/2048	2187/2048	128/121	96/91
15	20480/19683	20480/19683	363/343	52/49
16	256/243	256/243	35/33	35/33
17	16/15	16/15	16/15	16/15
18	27/25	15/14	15/14	15/14
19	2187/2000	243/224	77/72	77/72
20	?	19683/17920	242/225	14/13
21	32768/30375	16384/15309	121/112	13/12
22	2048/1875	784/729	12/11	12/11
23	3125/2916	49/45	49/45	49/45
24	625/576	35/32	35/32	35/32
25	1125/1024	567/512	11/10	11/10
26	18225/16384	18225/16384	400/363	72/65
27	64000/59049	7168/6561	135/121	39/35
28	800/729	448/405	49/44	49/44
29	10/9	10/9	10/9	10/9
30	9/8	9/8	9/8	9/8
31	729/640	729/640	55/49	55/49
32	59049/51200	32805/28672	121/108	91/81
33	4096/3645	4096/3645	112/99	44/39
34	256/225	256/225	25/22	25/22
35	144/125	8/7	8/7	8/7
36	729/625	81/70	81/70	81/70
37	9375/8192	3645/3136	55/48	55/48
38	?	59049/50176	121/105	15/13
39	32768/28125	12544/10935	64/55	64/55
40	2500/2187	280/243	90/77	90/77
41	125/108	7/6	7/6	7/6
42	75/64	75/64	75/64	75/64
43	1215/1024	1215/1024	33/28	13/11
44	19683/16384	19683/16384	144/121	108/91
45	2560/2187	2560/2187	196/165	77/65
46	32/27	32/27	32/27	32/27
47	6/5	6/5	6/5	6/5
48	243/200	135/112	135/112	135/112
49	19683/16000	2187/1792	77/64	77/64
50	65536/54675	65536/54675	121/100	63/52
51	4096/3375	2048/1701	40/33	39/32
52	768/625	98/81	27/22	27/22
53	3125/2592	49/40	49/40	49/40
54	625/512	243/196	11/9	11/9
55	10125/8192	5103/4096	99/80	16/13
56	?	71680/59049	121/98	26/21
57	8000/6561	896/729	96/77	96/77
58	100/81	56/45	56/45	56/45
59	5/4	5/4	5/4	5/4
60	81/64	81/64	44/35	44/35
61	6561/5120	6561/5120	495/392	49/39
62	8192/6561	8192/6561	121/96	91/72
63	512/405	512/405	14/11	14/11
64	32/25	32/25	32/25	32/25
65	162/125	9/7	9/7	9/7
66	6561/5000	729/560	77/60	77/60
67	84375/65536	32805/25088	165/128	50/39
68	65536/50625	25088/19683	128/99	13/10
69	4096/3125	1568/1215	72/55	72/55
70	625/486	35/27	35/27	35/27
71	125/96	21/16	21/16	21/16
72	675/512	675/512	33/25	33/25
73	10935/8192	10935/8192	160/121	117/88
74	25600/19683	14336/10935	162/121	65/49
75	320/243	320/243	147/110	143/108
76	4/3	4/3	4/3	4/3
77	27/20	27/20	27/20	27/20
78	2187/1600	1215/896	66/49	66/49
79	?	19683/14336	121/90	35/26
80	8192/6075	8192/6075	224/165	65/48
81	512/375	256/189	15/11	15/11
82	864/625	48/35	48/35	48/35
83	3125/2304	135/98	110/81	110/81
84	5625/4096	2187/1568	11/8	11/8
85	91125/65536	45927/32768	168/121	18/13
86	65536/46875	8960/6561	320/231	39/28
87	1000/729	112/81	108/77	108/77
88	25/18	7/5	7/5	7/5
89	45/32	45/32	45/32	45/32
90	729/512	729/512	99/70	78/55
91	59049/40960	59049/40960	343/242	147/104
92	1024/729	1024/729	140/99	55/39
93	64/45	64/45	63/44	63/44
94	36/25	10/7	10/7	10/7
95	729/500	81/56	77/54	77/54
96	46875/32768	6561/4480	231/160	56/39
97	?	65536/45927	121/84	13/9
98	8192/5625	3136/2187	16/11	16/11
99	3125/2187	196/135	81/55	81/55
100	625/432	35/24	35/24	35/24
101	375/256	189/128	22/15	22/15
102	6075/4096	6075/4096	165/112	65/44
103	98415/65536	28672/19683	180/121	52/35
104	3200/2187	1792/1215	49/33	49/33
105	40/27	40/27	40/27	40/27
106	3/2	3/2	3/2	3/2
107	243/160	243/160	220/147	169/112
108	19683/12800	10935/7168	121/81	98/65
109	16384/10935	16384/10935	121/80	91/60
110	1024/675	1024/675	50/33	50/33
111	192/125	32/21	32/21	32/21
112	972/625	49/32	49/32	49/32
113	3125/2048	1215/784	55/36	55/36
114	50625/32768	19683/12544	99/64	20/13
115	?	50176/32805	189/121	39/25
116	10000/6561	1120/729	120/77	120/77
117	125/81	14/9	14/9	14/9
118	25/16	25/16	25/16	25/16
119	405/256	405/256	11/7	11/7
120	6561/4096	6561/4096	192/121	144/91
121	10240/6561	10240/6561	605/384	78/49
122	128/81	128/81	35/22	35/22
123	8/5	8/5	8/5	8/5
124	81/50	45/28	45/28	45/28
125	6561/4000	729/448	77/48	77/48
126	?	59049/35840	121/75	21/13
127	16384/10125	8192/5103	160/99	13/8
128	1024/625	392/243	18/11	18/11
129	3125/1944	49/30	49/30	49/30
130	625/384	81/49	44/27	44/27
131	3375/2048	1701/1024	33/20	33/20
132	54675/32768	54675/32768	200/121	104/63
133	32000/19683	3584/2187	128/77	117/70
134	400/243	224/135	147/88	147/88
135	5/ 3	5/3	5/3	5/3
136	27/16	27/16	27/16	27/16
137	2187/1280	2187/1280	165/98	130/77
138	32768/19683	32768/19683	121/72	91/54
139	2048/1215	2048/1215	56/33	22/13
140	128/75	128/75	75/44	75/44
141	216/125	12/7	12/7	12/7
142	2187/1250	243/140	77/45	77/45
143	28125/16384	10935/6272	55/32	55/32
144	?	?	121/70	26/15
145	16384/9375	6272/3645	96/55	96/55
146	1250/729	140/81	135/77	135/77
147	125/72	7/4	7/4	7/4
148	225/128	225/128	44/25	44/25
149	3645/2048	3645/2048	99/56	39/22
150	59049/32768	57344/32805	216/121	162/91
151	1280/729	1280/729	98/55	98/55
152	16/9	16/9	16/9	16/9
153	9/5	9/5	9/5	9/5
154	729/400	405/224	88/49	88/49
155	59049/32000	6561/3584	231/128	70/39
156	32768/18225	32768/18225	363/200	65/36
157	2048/1125	1024/567	20/11	20/11
158	1152/625	49/27	49/27	49/27
159	3125/1728	90/49	90/49	90/49
160	1875/1024	729/392	11/6	11/6
161	30375/16384	15309/8192	224/121	24/13
162	?	35840/19683	225/121	13/7
163	4000/2187	448/243	144/77	144/77
164	50/27	28/15	28/15	28/15
165	15/8	15/8	15/8	15/8
166	243/128	243/128	66/35	66/35
167	19683/10240	19683/10240	605/324	49/26
168	4096/2187	4096/2187	121/64	91/48
169	256/135	256/135	21/11	21/11
170	48/25	40/21	40/21	40/21
171	243/125	27/14	27/14	27/14
172	15625/8192	2187/1120	77/40	77/40
173	?	98415/50176	121/63	25/13
174	32768/16875	12544/6561	64/33	39/20
175	6144/3125	784/405	108/55	108/55
176	625/324	35/18	35/18	35/18
177	125/64	63/32	63/32	63/32
178	2025/1024	2025/1024	55/28	55/28
179	32805/16384	32805/16384	240/121	180/91
180	12800/6561	7168/3645	196/99	77/39
181	160/81	160/81	160/81	143/72
182	2/1	2/1	2/1	2/1