266edo

Welcome to 266edo

266edo = 14edo × 19edo

Distinctively interesting choice for an edo, due to its divisibility by both 14 and 19. This means it can be used to play 14edo music and 19edo music at the same time, using the 266/19 and 266/14 vals respectively.

4.511

266edo has a step size of 4.5112781954887 cents. It is a commatonal EDO, because the step size represents commas like 4374/4375, 176/175, 169/168. It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 266edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
6/5, 5/3	0.148
13/11, 22/13	0.488
7/5, 10/7	0.557
7/6, 12/7	0.705
11/8, 16/11	0.942
8/7, 7/4	1.099
16/13, 13/8	1.43
5/4, 8/5	1.656
4/3, 3/2	1.804
10/9, 9/5	1.953
14/11, 11/7	2.041
15/14, 28/15	2.362
9/7, 14/9	2.51
14/13, 13/7	2.529
11/10, 20/11	2.598
12/11, 11/6	2.746
13/10, 20/13	3.086
13/12, 24/13	3.234
16/15, 15/8	3.461
9/8, 16/9	3.609
15/11, 22/15	4.403
11/9, 18/11	4.551
15/13, 26/15	4.891
18/13, 13/9	5.039

Table of 266edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	4374/4375	176/175	169/168
2	2048/2025	245/243	121/120	121/120
3	?	126/125	126/125	91/90
4	20000/19683	19683/19600	99/98	99/98
5	?	64/63	64/63	64/63
6	81/80	81/80	55/54	55/54
7	?	2240/2187	56/55	56/55
8	128/125	49/48	49/48	49/48
9	?	3645/3584	77/75	77/75
10	250/243	250/243	45/44	40/39
11	?	36/35	36/35	36/35
12	6561/6400	6561/6400	33/32	33/32
13	?	28/27	28/27	28/27
14	648/625	405/392	125/121	26/25
15	?	6860/6561	80/77	80/77
16	25/24	25/24	25/24	25/24
17	?	729/700	22/21	22/21
18	256/243	256/243	256/243	104/99
19	?	21/20	21/20	21/20
20	6561/6250	6561/6250	132/125	132/125
21	?	200/189	81/77	81/77
22	135/128	135/128	128/121	52/49
23	?	7000/6561	35/33	35/33
24	16/15	16/15	16/15	16/15
25	?	729/686	77/72	77/72
26	3125/2916	784/729	242/225	125/117
27	?	15/14	15/14	15/14
28	2187/2048	2187/2048	264/245	130/121
29	?	175/162	121/112	14/13
30	27/25	27/25	27/25	13/12
31	?	7168/6561	250/231	250/231
32	625/576	49/45	49/45	49/45
33	?	243/224	243/224	99/91
34	800/729	800/729	12/11	12/11
35	?	35/32	35/32	35/32
36	2187/2000	2187/2000	11/10	11/10
37	?	448/405	448/405	100/91
38	1125/1024	54/49	54/49	54/49
39	?	19683/17920	256/231	256/231
40	10/9	10/9	10/9	10/9
41	?	567/512	352/315	39/35
42	4096/3645	2450/2187	49/44	49/44
43	?	28/25	28/25	28/25
44	17496/15625	2187/1960	55/49	55/49
45	?	640/567	432/385	175/156
46	9/8	9/8	9/8	9/8
47	?	19683/17500	112/99	112/99
48	256/225	245/216	245/216	147/130
49	?	567/500	154/135	91/80
50	2500/2187	2500/2187	25/22	25/22
51	?	8/7	8/7	8/7
52	729/640	729/640	55/48	55/48
53	?	280/243	63/55	63/55
54	144/125	144/125	144/125	52/45
55	?	19683/17150	231/200	231/200
56	125/108	125/108	125/108	15/13
57	?	81/70	81/70	65/56
58	2560/2187	2560/2187	64/55	64/55
59	?	7/6	7/6	7/6
60	729/625	729/625	88/75	88/75
61	?	1715/1458	90/77	90/77
62	75/64	75/64	75/64	75/64
63	?	6561/5600	33/28	33/28
64	32/27	32/27	32/27	13/11
65	?	189/160	189/160	77/65
66	15625/13122	7840/6561	196/165	143/120
67	?	25/21	25/21	25/21
68	1215/1024	1215/1024	144/121	117/98
69	?	875/729	105/88	105/88
70	6/5	6/5	6/5	6/5
71	?	6561/5488	77/64	77/64
72	3125/2592	98/81	98/81	98/81
73	?	135/112	135/112	91/75
74	8000/6561	8000/6561	40/33	40/33
75	?	128/105	128/105	63/52
76	243/200	243/200	11/9	11/9
77	?	896/729	336/275	336/275
78	625/512	49/40	49/40	49/40
79	?	2187/1792	154/125	154/125
80	100/81	100/81	27/22	16/13
81	?	216/175	216/175	26/21
82	8192/6561	8192/6561	99/80	99/80
83	?	56/45	56/45	56/45
84	3888/3125	243/196	150/121	150/121
85	?	2744/2187	96/77	96/77
86	5/4	5/4	5/4	5/4
87	?	2187/1750	44/35	44/35
88	512/405	512/405	121/96	49/39
89	?	63/50	63/50	63/50
90	19683/15625	19683/15625	125/99	125/99
91	?	80/63	80/63	80/63
92	81/64	81/64	81/64	33/26
93	?	2800/2187	14/11	14/11
94	32/25	32/25	32/25	32/25
95	?	2187/1715	77/60	77/60
96	625/486	625/486	225/176	50/39
97	?	9/7	9/7	9/7
98	6561/5120	6561/5120	128/99	128/99
99	?	35/27	35/27	35/27
100	162/125	162/125	162/125	13/10
101	?	8575/6561	100/77	100/77
102	125/96	64/49	64/49	64/49
103	?	729/560	55/42	55/42
104	320/243	320/243	72/55	72/55
105	?	21/16	21/16	21/16
106	6561/5000	6561/5000	33/25	33/25
107	?	250/189	250/189	120/91
108	675/512	324/245	160/121	65/49
109	?	8750/6561	175/132	121/91
110	4/3	4/3	4/3	4/3
111	?	1701/1280	385/288	169/126
112	8192/6075	980/729	121/90	121/90
113	?	75/56	75/56	75/56
114	10935/8192	6561/4900	66/49	66/49
115	?	256/189	256/189	35/26
116	27/20	27/20	27/20	27/20
117	?	8960/6561	224/165	143/105
118	512/375	49/36	49/36	49/36
119	?	1215/896	308/225	273/200
120	1000/729	1000/729	15/11	15/11
121	?	48/35	48/35	48/35
122	2187/1600	2187/1600	11/8	11/8
123	?	112/81	112/81	91/66
124	864/625	135/98	135/98	104/75
125	?	19683/14336	320/231	320/231
126	25/18	25/18	25/18	18/13
127	?	243/175	88/63	39/28
128	1024/729	1024/729	245/176	169/121
129	?	7/5	7/5	7/5
130	4374/3125	2187/1568	176/125	169/120
131	?	343/243	108/77	108/77
132	45/32	45/32	45/32	45/32
133	?	19683/14000	99/70	99/70
134	64/45	64/45	64/45	64/45
135	?	486/343	77/54	77/54
136	3125/2187	3125/2187	125/88	125/88
137	?	10/7	10/7	10/7
138	729/512	729/512	275/192	242/169
139	?	350/243	63/44	56/39
140	36/25	36/25	36/25	13/9
141	?	19683/13720	231/160	231/160
142	625/432	196/135	196/135	75/52
143	?	81/56	81/56	81/56
144	3200/2187	3200/2187	16/11	16/11
145	?	35/24	35/24	35/24
146	729/500	729/500	22/15	22/15
147	?	1792/1215	225/154	225/154
148	375/256	72/49	72/49	72/49
149	?	6561/4480	165/112	165/112
150	40/27	40/27	40/27	40/27
151	?	189/128	189/128	52/35
152	16384/10935	9800/6561	49/33	49/33
153	?	112/75	112/75	112/75
154	6075/4096	729/490	180/121	180/121
155	?	2560/1701	525/352	175/117
156	3/2	3/2	3/2	3/2
157	?	6561/4375	264/175	169/112
158	1024/675	245/162	121/80	98/65
159	?	189/125	189/125	91/60
160	10000/6561	10000/6561	50/33	50/33
161	?	32/21	32/21	32/21
162	243/160	243/160	55/36	55/36
163	?	1120/729	84/55	84/55
164	192/125	49/32	49/32	49/32
165	?	10935/7168	77/50	77/50
166	125/81	125/81	125/81	20/13
167	?	54/35	54/35	54/35
168	10240/6561	10240/6561	99/64	99/64
169	?	14/9	14/9	14/9
170	972/625	972/625	352/225	39/25
171	?	3430/2187	120/77	120/77
172	25/16	25/16	25/16	25/16
173	?	2187/1400	11/7	11/7
174	128/81	128/81	128/81	52/33
175	?	63/40	63/40	63/40
176	19683/12500	19683/12500	198/125	143/90
177	?	100/63	100/63	100/63
178	405/256	405/256	192/121	78/49
179	?	3500/2187	35/22	35/22
180	8/5	8/5	8/5	8/5
181	?	2187/1372	77/48	77/48
182	3125/1944	392/243	121/75	121/75
183	?	45/28	45/28	45/28
184	6561/4096	6561/4096	160/99	160/99
185	?	175/108	175/108	21/13
186	81/50	81/50	44/27	13/8
187	?	3584/2187	125/77	125/77
188	625/384	49/30	49/30	49/30
189	?	729/448	275/168	275/168
190	400/243	400/243	18/11	18/11
191	?	105/64	105/64	104/63
192	6561/4000	6561/4000	33/20	33/20
193	?	224/135	224/135	91/55
194	3375/2048	81/49	81/49	81/49
195	?	10976/6561	128/77	128/77
196	5/3	5/3	5/3	5/3
197	?	1458/875	176/105	117/70
198	2048/1215	1225/729	121/72	121/72
199	?	42/25	42/25	42/25
200	26244/15625	6561/3920	165/98	165/98
201	?	320/189	320/189	130/77
202	27/16	27/16	27/16	22/13
203	?	11200/6561	56/33	56/33
204	128/75	128/75	128/75	128/75
205	?	1701/1000	77/45	77/45
206	1250/729	1250/729	75/44	75/44
207	?	12/7	12/7	12/7
208	2187/1280	2187/1280	55/32	55/32
209	?	140/81	121/70	112/65
210	216/125	216/125	216/125	26/15
211	?	34300/19683	343/198	343/198
212	125/72	125/72	125/72	45/26
213	?	243/140	110/63	110/63
214	1280/729	1280/729	96/55	96/55
215	?	7/4	7/4	7/4
216	2187/1250	2187/1250	44/25	44/25
217	?	1000/567	135/77	135/77
218	225/128	225/128	225/128	225/128
219	?	19683/11200	99/56	99/56
220	16/9	16/9	16/9	16/9
221	?	567/320	385/216	231/130
222	15625/8748	3920/2187	98/55	98/55
223	?	25/14	25/14	25/14
224	3645/2048	2187/1225	88/49	88/49
225	?	875/486	315/176	70/39
226	9/5	9/5	9/5	9/5
227	?	19683/10976	231/128	231/128
228	2048/1125	49/27	49/27	49/27
229	?	405/224	405/224	91/50
230	4000/2187	4000/2187	20/11	20/11
231	?	64/35	64/35	64/35
232	729/400	729/400	11/6	11/6
233	?	448/243	448/243	182/99
234	1152/625	90/49	90/49	90/49
235	?	6561/3584	231/125	231/125
236	50/27	50/27	50/27	24/13
237	?	324/175	224/121	13/7
238	4096/2187	4096/2187	245/132	121/65
239	?	28/15	28/15	28/15
240	5832/3125	729/392	225/121	169/90
241	?	1372/729	144/77	144/77
242	15/8	15/8	15/8	15/8
243	?	6561/3500	66/35	66/35
244	256/135	256/135	121/64	49/26
245	?	189/100	154/81	91/48
246	12500/6561	12500/6561	125/66	125/66
247	?	40/21	40/21	40/21
248	243/128	243/128	243/128	99/52
249	?	1400/729	21/11	21/11
250	48/25	48/25	48/25	48/25
251	?	6561/3430	77/40	77/40
252	625/324	625/324	242/125	25/13
253	?	27/14	27/14	27/14
254	12800/6561	12800/6561	64/33	64/33
255	?	35/18	35/18	35/18
256	243/125	243/125	88/45	39/20
257	?	7168/3645	150/77	150/77
258	125/64	49/25	49/25	49/25
259	?	2187/1120	55/28	55/28
260	160/81	160/81	108/55	65/33
261	?	63/32	63/32	63/32
262	19683/10000	19683/10000	99/50	99/50
263	?	125/63	125/63	125/63
264	2025/1024	486/245	240/121	195/98
265	?	4375/2187	175/88	175/88
266	2/1	2/1	2/1	2/1