260edo

Welcome to 260edo

260edo = 13edo × 20edo

Distinctively interesting choice for an edo, due to its divisibility by both 13 and 20. This means it can be used to play 13edo music and 20edo music at the same time, using the 260/20 and 260/13 vals respectively.

4.615

260edo has a step size of 4.6153846153846 cents. It is a commatonal EDO, because the step size represents commas like 176/175. It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 260edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
13/12, 24/13	0.111
18/13, 13/9	0.305
8/7, 7/4	0.405
4/3, 3/2	0.417
16/13, 13/8	0.528
15/14, 28/15	0.557
7/6, 12/7	0.821
9/8, 16/9	0.833
14/13, 13/7	0.933
16/15, 15/8	0.962
7/5, 10/7	0.974
9/7, 14/9	1.238
11/9, 18/11	1.254
5/4, 8/5	1.379
15/13, 26/15	1.49
13/11, 22/13	1.56
12/11, 11/6	1.671
6/5, 5/3	1.795
13/10, 20/13	1.906
11/8, 16/11	2.087
10/9, 9/5	2.212
14/11, 11/7	2.492
15/11, 22/15	3.049
11/10, 20/11	3.466

Table of 260edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	?	176/175	176/175
2	?	126/125	121/120	121/120
3	?	?	99/98	99/98
4	81/80	81/80	81/80	81/80
5	?	?	100/99	66/65
6	?	64/63	64/63	64/63
7	?	?	55/54	55/54
8	128/125	49/48	49/48	49/48
9	?	?	45/44	45/44
10	?	36/35	36/35	36/35
11	?	?	33/32	33/32
12	250/243	250/243	250/243	65/63
13	?	?	512/495	91/88
14	?	28/27	28/27	26/25
15	?	?	80/77	80/77
16	25/24	25/24	25/24	25/24
17	?	?	22/21	22/21
18	?	21/20	21/20	21/20
19	?	?	81/77	81/77
20	135/128	135/128	135/128	96/91
21	?	?	297/280	55/52
22	?	200/189	128/121	52/49
23	?	?	35/33	35/33
24	16/15	16/15	16/15	16/15
25	?	?	77/72	77/72
26	?	15/14	15/14	15/14
27	?	?	189/176	189/176
28	27/25	27/25	27/25	14/13
29	?	?	320/297	320/297
30	?	175/162	175/162	13/12
31	?	?	88/81	88/81
32	625/576	49/45	49/45	49/45
33	?	?	12/11	12/11
34	?	35/32	35/32	35/32
35	?	?	11/10	11/10
36	800/729	54/49	54/49	54/49
37	?	?	243/220	182/165
38	?	448/405	400/363	72/65
39	?	?	256/231	195/176
40	10/9	10/9	10/9	10/9
41	?	?	49/44	49/44
42	?	28/25	28/25	28/25
43	?	?	55/49	55/49
44	9/8	9/8	9/8	9/8
45	?	?	198/175	44/39
46	?	567/500	363/320	147/130
47	?	?	112/99	112/99
48	256/225	245/216	245/216	91/80
49	?	?	25/22	25/22
50	?	8/7	8/7	8/7
51	?	?	55/48	55/48
52	144/125	144/125	121/105	121/105
53	?	?	231/200	231/200
54	?	81/70	81/70	15/13
55	?	?	297/256	297/256
56	125/108	125/108	125/108	65/56
57	?	?	64/55	64/55
58	?	7/6	7/6	7/6
59	?	?	88/75	88/75
60	75/64	75/64	75/64	75/64
61	?	?	33/28	33/28
62	?	189/160	189/160	189/160
63	?	?	297/250	13/11
64	32/27	32/27	32/27	32/27
65	?	?	196/165	143/120
66	?	25/21	25/21	25/21
67	?	?	105/88	105/88
68	6/5	6/5	6/5	6/5
69	?	?	77/64	77/64
70	?	135/112	121/100	65/54
71	?	?	297/245	110/91
72	243/200	98/81	98/81	63/52
73	?	?	40/33	40/33
74	?	128/105	128/105	39/32
75	?	?	11/9	11/9
76	625/512	49/40	49/40	49/40
77	?	?	27/22	27/22
78	?	216/175	121/98	16/13
79	?	?	99/80	99/80
80	100/81	100/81	100/81	26/21
81	?	?	245/198	245/198
82	?	56/45	56/45	56/45
83	?	?	96/77	96/77
84	5/4	5/4	5/4	5/4
85	?	?	44/35	44/35
86	?	63/50	63/50	49/39
87	?	?	486/385	180/143
88	81/64	81/64	81/64	81/64
89	?	?	125/99	33/26
90	?	80/63	80/63	80/63
91	?	?	14/11	14/11
92	32/25	32/25	32/25	32/25
93	?	?	77/60	77/60
94	?	9/7	9/7	9/7
95	?	?	165/128	165/128
96	162/125	162/125	162/125	84/65
97	?	?	128/99	128/99
98	?	35/27	35/27	13/10
99	?	?	100/77	100/77
100	125/96	64/49	64/49	64/49
101	?	?	55/42	55/42
102	?	21/16	21/16	21/16
103	?	?	33/25	33/25
104	320/243	320/243	320/243	120/91
105	?	?	297/224	143/108
106	?	250/189	160/121	65/49
107	?	?	175/132	117/88
108	4/3	4/3	4/3	4/3
109	?	?	147/110	147/110
110	?	75/56	75/56	75/56
111	?	?	66/49	66/49
112	27/20	27/20	27/20	27/20
113	?	?	400/297	88/65
114	?	256/189	256/189	65/48
115	?	?	110/81	110/81
116	512/375	49/36	49/36	49/36
117	?	?	15/11	15/11
118	?	48/35	48/35	48/35
119	?	?	11/8	11/8
120	864/625	135/98	135/98	125/91
121	?	?	243/176	91/66
122	?	112/81	112/81	18/13
123	?	?	320/231	320/231
124	25/18	25/18	25/18	25/18
125	?	?	88/63	88/63
126	?	7/5	7/5	7/5
127	?	?	108/77	108/77
128	45/32	45/32	45/32	45/32
129	?	?	99/70	55/39
130	?	343/243	343/243	147/104
131	?	?	140/99	78/55
132	64/45	64/45	64/45	64/45
133	?	?	77/54	77/54
134	?	10/7	10/7	10/7
135	?	?	63/44	63/44
136	36/25	36/25	36/25	36/25
137	?	?	231/160	231/160
138	?	81/56	81/56	13/9
139	?	?	352/243	132/91
140	625/432	196/135	175/121	175/121
141	?	?	16/11	16/11
142	?	35/24	35/24	35/24
143	?	?	22/15	22/15
144	375/256	72/49	72/49	72/49
145	?	?	81/55	81/55
146	?	189/128	189/128	96/65
147	?	?	297/200	65/44
148	40/27	40/27	40/27	40/27
149	?	?	49/33	49/33
150	?	112/75	112/75	112/75
151	?	?	220/147	220/147
152	3/2	3/2	3/2	3/2
153	?	?	264/175	176/117
154	?	189/125	121/80	98/65
155	?	?	297/196	216/143
156	243/160	243/160	243/160	91/60
157	?	?	50/33	50/33
158	?	32/21	32/21	32/21
159	?	?	55/36	55/36
160	192/125	49/32	49/32	49/32
161	?	?	77/50	77/50
162	?	54/35	54/35	20/13
163	?	?	99/64	99/64
164	125/81	125/81	125/81	65/42
165	?	?	256/165	256/165
166	?	14/9	14/9	14/9
167	?	?	120/77	120/77
168	25/16	25/16	25/16	25/16
169	?	?	11/7	11/7
170	?	63/40	63/40	63/40
171	?	?	198/125	52/33
172	128/81	128/81	128/81	128/81
173	?	?	385/243	143/90
174	?	100/63	100/63	78/49
175	?	?	35/22	35/22
176	8/5	8/5	8/5	8/5
177	?	?	77/48	77/48
178	?	45/28	45/28	45/28
179	?	?	396/245	396/245
180	81/50	81/50	81/50	21/13
181	?	?	160/99	160/99
182	?	175/108	175/108	13/8
183	?	?	44/27	44/27
184	625/384	49/30	49/30	49/30
185	?	?	18/11	18/11
186	?	105/64	105/64	64/39
187	?	?	33/20	33/20
188	400/243	81/49	81/49	81/49
189	?	?	490/297	91/55
190	?	224/135	200/121	108/65
191	?	?	128/77	128/77
192	5/3	5/3	5/3	5/3
193	?	?	147/88	147/88
194	?	42/25	42/25	42/25
195	?	?	165/98	165/98
196	27/16	27/16	27/16	27/16
197	?	?	297/175	22/13
198	?	320/189	320/189	320/189
199	?	?	56/33	56/33
200	128/75	128/75	128/75	128/75
201	?	?	75/44	75/44
202	?	12/7	12/7	12/7
203	?	?	55/32	55/32
204	216/125	216/125	121/70	112/65
205	?	?	512/297	455/264
206	?	140/81	140/81	26/15
207	?	?	343/198	343/198
208	125/72	125/72	125/72	125/72
209	?	?	96/55	96/55
210	?	7/4	7/4	7/4
211	?	?	44/25	44/25
212	225/128	225/128	225/128	160/91
213	?	?	99/56	99/56
214	?	567/320	567/320	260/147
215	?	?	175/99	39/22
216	16/9	16/9	16/9	16/9
217	?	?	98/55	98/55
218	?	25/14	25/14	25/14
219	?	?	88/49	88/49
220	9/5	9/5	9/5	9/5
221	?	?	231/128	231/128
222	?	405/224	363/200	65/36
223	?	?	440/243	165/91
224	729/400	49/27	49/27	49/27
225	?	?	20/11	20/11
226	?	64/35	64/35	64/35
227	?	?	11/6	11/6
228	1152/625	90/49	90/49	90/49
229	?	?	81/44	81/44
230	?	324/175	324/175	24/13
231	?	?	297/160	297/160
232	50/27	50/27	50/27	13/7
233	?	?	245/132	245/132
234	?	28/15	28/15	28/15
235	?	?	144/77	144/77
236	15/8	15/8	15/8	15/8
237	?	?	66/35	66/35
238	?	189/100	121/64	49/26
239	?	?	560/297	104/55
240	243/128	243/128	243/128	91/48
241	?	?	125/66	99/52
242	?	40/21	40/21	40/21
243	?	?	21/11	21/11
244	48/25	48/25	48/25	48/25
245	?	?	77/40	77/40
246	?	27/14	27/14	25/13
247	?	?	495/256	176/91
248	243/125	243/125	243/125	126/65
249	?	?	64/33	64/33
250	?	35/18	35/18	35/18
251	?	?	88/45	88/45
252	125/64	49/25	49/25	49/25
253	?	?	55/28	55/28
254	?	63/32	63/32	63/32
255	?	?	99/50	65/33
256	160/81	160/81	160/81	160/81
257	?	?	196/99	143/72
258	?	125/63	125/63	125/63
259	?	?	175/88	175/88
260	2/1	2/1	2/1	2/1