261edo

Welcome to 261edo

261edo = 9edo × 29edo

Distinctively interesting choice for an edo, due to its divisibility by both 9 and 29. This means it can be used to play 9edo music and 29edo music at the same time, using the 261/29 and 261/9 vals respectively.

4.598

261edo has a step size of 4.5977011494253 cents. It is a commatonal EDO, because the step size represents commas like 2401/2400, 385/384, 364/363. It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 261edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
15/14, 28/15	0.097
5/4, 8/5	0.107
7/6, 12/7	0.204
11/8, 16/11	0.406
14/13, 13/7	0.437
13/11, 22/13	0.445
11/10, 20/11	0.513
15/13, 26/15	0.535
13/12, 24/13	0.642
16/13, 13/8	0.852
14/11, 11/7	0.883
13/10, 20/13	0.958
15/11, 22/15	0.98
12/11, 11/6	1.087
8/7, 7/4	1.289
16/15, 15/8	1.386
7/5, 10/7	1.396
4/3, 3/2	1.493
6/5, 5/3	1.6
9/7, 14/9	1.698
18/13, 13/9	2.135
11/9, 18/11	2.58
9/8, 16/9	2.987
10/9, 9/5	3.093

Table of 261edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	2401/2400	385/384	364/363
2	?	225/224	176/175	169/168
3	2048/2025	1029/1024	100/99	100/99
4	?	126/125	99/98	91/90
5	?	64/63	64/63	64/63
6	81/80	81/80	55/54	55/54
7	?	50/49	50/49	50/49
8	?	49/48	49/48	49/48
9	128/125	128/125	45/44	40/39
10	?	525/512	77/75	77/75
11	?	36/35	36/35	36/35
12	6561/6400	1029/1000	33/32	33/32
13	?	28/27	28/27	28/27
14	?	1323/1280	80/77	80/77
15	25/24	25/24	25/24	25/24
16	?	256/245	126/121	126/121
17	?	392/375	22/21	22/21
18	256/243	256/243	256/243	104/99
19	?	21/20	21/20	21/20
20	?	200/189	81/77	81/77
21	135/128	135/128	128/121	55/52
22	?	625/588	35/33	35/33
23	?	1225/1152	297/280	297/280
24	16/15	16/15	16/15	16/15
25	?	1701/1600	77/72	77/72
26	?	15/14	15/14	15/14
27	2187/2048	343/320	242/225	130/121
28	?	175/162	175/162	14/13
29	?	1024/945	121/112	121/112
30	27/25	27/25	27/25	13/12
31	?	160/147	160/147	160/147
32	?	49/45	49/45	49/45
33	800/729	375/343	12/11	12/11
34	?	35/32	35/32	35/32
35	?	192/175	192/175	100/91
36	1125/1024	686/625	11/10	11/10
37	?	54/49	54/49	54/49
38	?	441/400	256/231	256/231
39	10/9	10/9	10/9	10/9
40	?	567/512	567/512	231/208
41	?	125/112	49/44	39/35
42	4096/3645	384/343	121/108	121/108
43	?	28/25	28/25	28/25
44	?	640/567	432/385	260/231
45	9/8	9/8	9/8	9/8
46	?	500/441	112/99	112/99
47	?	245/216	198/175	143/126
48	256/225	256/225	25/22	25/22
49	?	567/500	154/135	91/80
50	?	8/7	8/7	8/7
51	729/640	343/300	55/48	55/48
52	?	225/196	63/55	63/55
53	?	147/128	121/105	121/105
54	125/108	125/108	125/108	15/13
55	?	512/441	140/121	140/121
56	?	81/70	81/70	65/56
57	2560/2187	400/343	64/55	64/55
58	?	7/6	7/6	7/6
59	?	1024/875	90/77	90/77
60	75/64	75/64	75/64	75/64
61	?	288/245	288/245	168/143
62	?	147/125	33/28	33/28
63	32/27	32/27	32/27	13/11
64	?	189/160	189/160	77/65
65	?	25/21	25/21	25/21
66	1215/1024	343/288	144/121	143/120
67	?	448/375	105/88	105/88
68	?	1225/1024	539/450	539/450
69	6/5	6/5	6/5	6/5
70	?	1600/1323	77/64	77/64
71	?	98/81	98/81	98/81
72	4096/3375	1250/1029	40/33	40/33
73	?	175/144	175/144	63/52
74	?	128/105	128/105	128/105
75	243/200	243/200	11/9	11/9
76	?	60/49	60/49	60/49
77	?	49/40	49/40	49/40
78	100/81	100/81	27/22	16/13
79	?	315/256	121/98	121/98
80	?	216/175	216/175	26/21
81	8192/6561	1280/1029	99/80	99/80
82	?	56/45	56/45	56/45
83	?	3000/2401	96/77	96/77
84	5/4	5/4	5/4	5/4
85	?	1536/1225	675/539	455/363
86	?	784/625	44/35	44/35
87	512/405	432/343	121/96	121/96
88	?	63/50	63/50	63/50
89	?	80/63	80/63	80/63
90	81/64	81/64	81/64	33/26
91	?	125/98	14/11	14/11
92	?	245/192	242/189	143/112
93	32/25	32/25	32/25	32/25
94	?	2401/1875	77/60	77/60
95	?	9/7	9/7	9/7
96	6561/5120	1029/800	128/99	128/99
97	?	35/27	35/27	35/27
98	?	1323/1024	100/77	100/77
99	125/96	125/96	125/96	13/10
100	?	64/49	64/49	64/49
101	?	98/75	55/42	55/42
102	320/243	320/243	72/55	72/55
103	?	21/16	21/16	21/16
104	?	250/189	250/189	120/91
105	675/512	675/512	33/25	33/25
106	?	324/245	175/132	65/49
107	?	1323/1000	297/224	121/91
108	4/3	4/3	4/3	4/3
109	?	1701/1280	385/288	385/288
110	?	75/56	75/56	75/56
111	8192/6075	343/256	121/90	121/90
112	?	168/125	66/49	35/26
113	?	256/189	256/189	104/77
114	27/20	27/20	27/20	27/20
115	?	200/147	200/147	200/147
116	?	49/36	49/36	49/36
117	512/375	512/375	15/11	15/11
118	?	175/128	175/128	175/128
119	?	48/35	48/35	48/35
120	2187/1600	343/250	11/8	11/8
121	?	112/81	112/81	91/66
122	?	441/320	242/175	242/175
123	25/18	25/18	25/18	18/13
124	?	1024/735	168/121	168/121
125	?	243/175	88/63	39/28
126	1024/729	480/343	384/275	169/121
127	?	7/5	7/5	7/5
128	?	800/567	108/77	108/77
129	45/32	45/32	45/32	45/32
130	?	625/441	140/99	140/99
131	?	882/625	99/70	99/70
132	64/45	64/45	64/45	64/45
133	?	567/400	77/54	77/54
134	?	10/7	10/7	10/7
135	729/512	343/240	275/192	143/100
136	?	350/243	63/44	56/39
137	?	735/512	121/84	121/84
138	36/25	36/25	36/25	13/9
139	?	640/441	175/121	175/121
140	?	81/56	81/56	81/56
141	3200/2187	500/343	16/11	16/11
142	?	35/24	35/24	35/24
143	?	256/175	225/154	225/154
144	375/256	375/256	22/15	22/15
145	?	72/49	72/49	72/49
146	?	147/100	147/100	147/100
147	40/27	40/27	40/27	40/27
148	?	189/128	189/128	77/52
149	?	125/84	49/33	49/33
150	6075/4096	512/343	121/81	121/81
151	?	112/75	112/75	112/75
152	?	2560/1701	539/360	539/360
153	3/2	3/2	3/2	3/2
154	?	2000/1323	385/256	182/121
155	?	245/162	245/162	98/65
156	1024/675	1024/675	50/33	50/33
157	?	189/125	189/125	91/60
158	?	32/21	32/21	32/21
159	243/160	243/160	55/36	55/36
160	?	75/49	75/49	75/49
161	?	49/32	49/32	49/32
162	125/81	125/81	125/81	20/13
163	?	1575/1024	77/50	77/50
164	?	54/35	54/35	54/35
165	10240/6561	1600/1029	99/64	99/64
166	?	14/9	14/9	14/9
167	?	3750/2401	120/77	120/77
168	25/16	25/16	25/16	25/16
169	?	384/245	189/121	189/121
170	?	196/125	11/7	11/7
171	128/81	128/81	128/81	52/33
172	?	63/40	63/40	63/40
173	?	100/63	100/63	100/63
174	405/256	343/216	192/121	143/90
175	?	625/392	35/22	35/22
176	?	1225/768	605/378	539/338
177	8/5	8/5	8/5	8/5
178	?	2401/1500	77/48	77/48
179	?	45/28	45/28	45/28
180	6561/4096	1029/640	121/75	121/75
181	?	175/108	175/108	21/13
182	?	512/315	125/77	125/77
183	81/50	81/50	44/27	13/8
184	?	80/49	80/49	80/49
185	?	49/30	49/30	49/30
186	400/243	400/243	18/11	18/11
187	?	105/64	105/64	105/64
188	?	288/175	288/175	104/63
189	3375/2048	1029/625	33/20	33/20
190	?	81/49	81/49	81/49
191	?	1323/800	128/77	128/77
192	5/3	5/3	5/3	5/3
193	?	1701/1024	900/539	693/416
194	?	375/224	147/88	117/70
195	2048/1215	576/343	121/72	121/72
196	?	42/25	42/25	42/25
197	?	320/189	320/189	130/77
198	27/16	27/16	27/16	22/13
199	?	250/147	56/33	56/33
200	?	245/144	245/144	143/84
201	128/75	128/75	75/44	75/44
202	?	875/512	77/45	77/45
203	?	12/7	12/7	12/7
204	2187/1280	343/200	55/32	55/32
205	?	140/81	140/81	112/65
206	?	441/256	121/70	121/70
207	125/72	125/72	125/72	26/15
208	?	256/147	210/121	210/121
209	?	243/140	110/63	110/63
210	1280/729	600/343	96/55	96/55
211	?	7/4	7/4	7/4
212	?	1000/567	135/77	135/77
213	225/128	225/128	44/25	44/25
214	?	432/245	175/99	175/99
215	?	441/250	99/56	99/56
216	16/9	16/9	16/9	16/9
217	?	567/320	385/216	231/130
218	?	25/14	25/14	25/14
219	3645/2048	343/192	216/121	143/80
220	?	224/125	88/49	70/39
221	?	1024/567	539/300	416/231
222	9/5	9/5	9/5	9/5
223	?	800/441	231/128	231/128
224	?	49/27	49/27	49/27
225	2048/1125	625/343	20/11	20/11
226	?	175/96	175/96	91/50
227	?	64/35	64/35	64/35
228	729/400	686/375	11/6	11/6
229	?	90/49	90/49	90/49
230	?	147/80	147/80	147/80
231	50/27	50/27	50/27	24/13
232	?	945/512	224/121	224/121
233	?	324/175	245/132	13/7
234	4096/2187	640/343	225/121	121/65
235	?	28/15	28/15	28/15
236	?	3200/1701	144/77	144/77
237	15/8	15/8	15/8	15/8
238	?	2304/1225	560/297	455/242
239	?	1176/625	66/35	49/26
240	256/135	256/135	121/64	104/55
241	?	189/100	154/81	91/48
242	?	40/21	40/21	40/21
243	243/128	243/128	243/128	99/52
244	?	375/196	21/11	21/11
245	?	245/128	121/63	121/63
246	48/25	48/25	48/25	25/13
247	?	2401/1250	77/40	77/40
248	?	27/14	27/14	27/14
249	12800/6561	2000/1029	64/33	64/33
250	?	35/18	35/18	35/18
251	?	1024/525	150/77	150/77
252	125/64	125/64	88/45	39/20
253	?	96/49	96/49	96/49
254	?	49/25	49/25	49/25
255	160/81	160/81	108/55	65/33
256	?	63/32	63/32	63/32
257	?	125/63	125/63	125/63
258	2025/1024	1715/864	99/50	99/50
259	?	448/225	175/88	175/88
260	?	3969/2000	539/270	363/182
261	2/1	2/1	2/1	2/1