276edo

Welcome to 276edo

276edo = 12edo × 23edo

Distinctively interesting choice for an edo, due to its divisibility by both 12 and 23. This means it can be used to play 12edo music and 23edo music at the same time, using the 276/23 and 276/12 vals respectively.

4.348

276edo has a step size of 4.3478260869565 cents. It is a commatonal EDO, because the step size represents commas like 225/224. It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 276edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
15/13, 26/15	0.085
7/5, 10/7	0.097
14/11, 11/7	0.117
11/10, 20/11	0.213
13/12, 24/13	0.558
5/4, 8/5	0.643
8/7, 7/4	0.739
11/8, 16/11	0.856
16/15, 15/8	1.312
16/13, 13/8	1.397
4/3, 3/2	1.955
13/10, 20/13	2.04
15/14, 28/15	2.052
14/13, 13/7	2.137
15/11, 22/15	2.168
13/11, 22/13	2.253
18/13, 13/9	2.513
6/5, 5/3	2.598
7/6, 12/7	2.694
12/11, 11/6	2.811
9/8, 16/9	3.91
10/9, 9/5	4.553
9/7, 14/9	4.649
11/9, 18/11	4.766

Table of 276edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	225/224	225/224	225/224
2	78125/78732	126/125	126/125	126/125
3	81/80	81/80	81/80	81/80
4	?	3645/3584	121/120	78/77
5	15625/15552	4000/3969	100/99	91/90
6	2048/2025	245/243	245/243	65/64
7	?	64/63	56/55	56/55
8	3125/3072	50/49	45/44	45/44
9	128/125	49/48	49/48	49/48
10	?	36/35	36/35	36/35
11	16875/16384	405/392	77/75	40/39
12	648/625	648/625	33/32	33/32
13	?	729/700	125/121	65/63
14	250/243	250/243	250/243	27/26
15	6561/6250	3125/3024	80/77	26/25
16	?	28/27	28/27	28/27
17	25/24	25/24	25/24	25/24
18	16384/15625	360/343	81/77	81/77
19	?	21/20	21/20	21/20
20	135/128	135/128	135/128	104/99
21	82944/78125	729/686	132/125	96/91
22	?	1701/1600	128/121	128/121
23	256/243	256/243	256/243	52/49
24	?	200/189	35/33	35/33
25	78125/73728	343/324	343/324	180/169
26	16/15	16/15	16/15	16/15
27	?	15/14	15/14	15/14
28	62500/59049	343/320	77/72	77/72
29	27/25	27/25	27/25	27/25
30	?	243/224	243/224	14/13
31	3125/2916	3125/2916	121/112	121/112
32	2187/2000	784/729	250/231	13/12
33	?	175/162	175/162	99/91
34	625/576	160/147	12/11	12/11
35	2048/1875	49/45	49/45	49/45
36	?	35/32	35/32	35/32
37	1125/1024	54/49	54/49	54/49
38	3456/3125	441/400	11/10	11/10
39	?	567/512	400/363	182/165
40	800/729	800/729	693/625	72/65
41	17496/15625	625/567	256/231	256/231
42	?	448/405	135/121	39/35
43	10/9	10/9	10/9	10/9
44	?	125/112	125/112	125/112
45	?	28/25	28/25	28/25
46	9/8	9/8	9/8	9/8
47	?	1944/1715	121/108	121/108
48	78125/69984	567/500	198/175	91/81
49	729/640	729/640	729/640	44/39
50	?	640/567	112/99	112/99
51	15625/13824	500/441	25/22	25/22
52	256/225	245/216	245/216	245/216
53	?	8/7	8/7	8/7
54	9375/8192	225/196	154/135	154/135
55	144/125	144/125	55/48	55/48
56	?	81/70	81/70	81/70
57	2500/2187	2500/2187	121/105	15/13
58	729/625	729/625	140/121	52/45
59	?	280/243	280/243	65/56
60	125/108	125/108	64/55	64/55
61	32768/28125	400/343	90/77	90/77
62	?	7/6	7/6	7/6
63	75/64	75/64	75/64	75/64
64	18432/15625	147/125	88/75	88/75
65	?	189/160	33/28	33/28
66	1215/1024	1215/1024	847/720	13/11
67	93312/78125	2000/1701	297/250	108/91
68	?	1715/1458	144/121	77/65
69	32/27	32/27	32/27	32/27
70	?	25/21	25/21	25/21
71	78125/65536	343/288	343/288	343/288
72	6/5	6/5	6/5	6/5
73	?	135/112	135/112	135/112
74	15625/13122	756/625	77/64	77/64
75	243/200	243/200	243/200	65/54
76	?	875/729	121/100	63/52
77	3125/2592	1600/1323	40/33	40/33
78	4096/3375	98/81	98/81	39/32
79	?	128/105	128/105	128/105
80	625/512	60/49	27/22	27/22
81	768/625	49/40	11/9	11/9
82	?	216/175	216/175	216/175
83	8000/6561	243/196	154/125	16/13
84	3888/3125	3888/3125	99/80	99/80
85	?	896/729	150/121	26/21
86	100/81	100/81	100/81	81/65
87	19683/15625	625/504	96/77	96/77
88	?	56/45	56/45	56/45
89	5/4	5/4	5/4	5/4
90	98304/78125	432/343	432/343	169/135
91	?	63/50	44/35	44/35
92	81/64	81/64	81/64	49/39
93	?	2187/1715	121/96	121/96
94	78125/62208	2744/2187	125/99	91/72
95	512/405	512/405	512/405	33/26
96	?	80/63	14/11	14/11
97	15625/12288	125/98	125/98	125/98
98	32/25	32/25	32/25	32/25
99	?	9/7	9/7	9/7
100	25000/19683	1029/800	77/60	50/39
101	162/125	162/125	162/125	104/81
102	?	729/560	484/375	84/65
103	625/486	625/486	128/99	128/99
104	6561/5000	1568/1215	100/77	13/10
105	?	35/27	35/27	35/27
106	125/96	64/49	64/49	64/49
107	4096/3125	98/75	98/75	98/75
108	?	21/16	21/16	21/16
109	675/512	324/245	324/245	130/99
110	20736/15625	1323/1000	33/25	33/25
111	?	1701/1280	160/121	154/117
112	320/243	320/243	320/243	65/49
113	?	250/189	175/132	143/108
114	?	896/675	162/121	121/91
115	4/3	4/3	4/3	4/3
116	?	75/56	75/56	75/56
117	78125/59049	168/125	168/125	168/125
118	27/20	27/20	27/20	27/20
119	?	1215/896	121/90	35/26
120	15625/11664	1701/1250	400/297	182/135
121	2187/1600	980/729	625/462	65/48
122	?	256/189	224/165	224/165
123	3125/2304	200/147	15/11	15/11
124	512/375	49/36	49/36	49/36
125	?	48/35	48/35	48/35
126	5625/4096	135/98	135/98	135/98
127	864/625	441/320	11/8	11/8
128	?	243/175	243/175	91/66
129	1000/729	1000/729	242/175	18/13
130	4374/3125	3125/2268	168/121	104/75
131	?	112/81	112/81	39/28
132	25/18	25/18	25/18	25/18
133	65536/46875	480/343	108/77	108/77
134	?	7/5	7/5	7/5
135	45/32	45/32	45/32	45/32
136	?	486/343	176/125	128/91
137	?	567/400	99/70	99/70
138	729/512	729/512	729/512	55/39
139	?	800/567	140/99	140/99
140	78125/55296	343/243	125/88	91/64
141	64/45	64/45	64/45	64/45
142	?	10/7	10/7	10/7
143	46875/32768	343/240	77/54	77/54
144	36/25	36/25	36/25	36/25
145	?	81/56	81/56	56/39
146	3125/2187	3125/2187	121/84	75/52
147	729/500	729/500	175/121	13/9
148	?	350/243	350/243	132/91
149	625/432	625/432	16/11	16/11
150	8192/5625	196/135	196/135	117/80
151	?	35/24	35/24	35/24
152	375/256	72/49	72/49	72/49
153	4608/3125	147/100	22/15	22/15
154	?	189/128	165/112	165/112
155	3200/2187	729/490	729/490	65/44
156	23328/15625	2500/1701	297/200	135/91
157	?	1792/1215	180/121	52/35
158	40/27	40/27	40/27	40/27
159	?	125/84	125/84	125/84
160	?	112/75	112/75	112/75
161	3/2	3/2	3/2	3/2
162	?	675/448	121/81	121/81
163	78125/52488	189/125	189/125	169/112
164	243/160	243/160	243/160	98/65
165	?	2560/1701	121/80	117/77
166	15625/10368	2000/1323	50/33	50/33
167	1024/675	245/162	245/162	99/65
168	?	32/21	32/21	32/21
169	3125/2048	75/49	75/49	75/49
170	192/125	49/32	49/32	49/32
171	?	54/35	54/35	54/35
172	10000/6561	1215/784	77/50	20/13
173	972/625	972/625	99/64	99/64
174	?	1120/729	375/242	65/42
175	125/81	125/81	125/81	81/52
176	19683/12500	1600/1029	120/77	39/25
177	?	14/9	14/9	14/9
178	25/16	25/16	25/16	25/16
179	24576/15625	196/125	196/125	169/108
180	?	63/40	11/7	11/7
181	405/256	405/256	405/256	52/33
182	?	2187/1372	198/125	144/91
183	?	3430/2187	192/121	192/121
184	128/81	128/81	128/81	78/49
185	?	100/63	35/22	35/22
186	78125/49152	343/216	343/216	270/169
187	8/5	8/5	8/5	8/5
188	?	45/28	45/28	45/28
189	31250/19683	1008/625	77/48	77/48
190	81/50	81/50	81/50	81/50
191	?	729/448	121/75	21/13
192	3125/1944	3125/1944	160/99	160/99
193	6561/4000	392/243	125/77	13/8
194	?	175/108	175/108	175/108
195	625/384	80/49	18/11	18/11
196	1024/625	49/30	44/27	44/27
197	?	105/64	105/64	105/64
198	3375/2048	81/49	81/49	64/39
199	5184/3125	1323/800	33/20	33/20
200	?	1458/875	200/121	91/55
201	400/243	400/243	400/243	108/65
202	26244/15625	625/378	128/77	128/77
203	?	224/135	224/135	117/70
204	5/3	5/3	5/3	5/3
205	?	375/224	375/224	375/224
206	?	42/25	42/25	42/25
207	27/16	27/16	27/16	27/16
208	?	2916/1715	121/72	121/72
209	78125/46656	1701/1000	297/175	91/54
210	2048/1215	1225/729	847/500	22/13
211	?	320/189	56/33	56/33
212	15625/9216	250/147	75/44	75/44
213	128/75	128/75	128/75	128/75
214	?	12/7	12/7	12/7
215	28125/16384	343/200	77/45	77/45
216	216/125	216/125	55/32	55/32
217	?	243/140	243/140	112/65
218	1250/729	1250/729	121/70	45/26
219	2187/1250	2187/1250	210/121	26/15
220	?	140/81	140/81	140/81
221	125/72	125/72	96/55	96/55
222	16384/9375	392/225	135/77	135/77
223	?	7/4	7/4	7/4
224	225/128	225/128	225/128	225/128
225	27648/15625	441/250	44/25	44/25
226	?	567/320	99/56	99/56
227	1280/729	1280/729	847/480	39/22
228	?	1000/567	175/99	143/81
229	?	1715/972	216/121	216/121
230	16/9	16/9	16/9	16/9
231	?	25/14	25/14	25/14
232	?	224/125	224/125	224/125
233	9/5	9/5	9/5	9/5
234	?	405/224	242/135	70/39
235	15625/8748	1134/625	231/128	231/128
236	729/400	729/400	729/400	65/36
237	?	875/486	363/200	165/91
238	3125/1728	800/441	20/11	20/11
239	2048/1125	49/27	49/27	49/27
240	?	64/35	64/35	64/35
241	1875/1024	90/49	81/44	81/44
242	1152/625	147/80	11/6	11/6
243	?	324/175	324/175	182/99
244	4000/2187	729/392	231/125	24/13
245	5832/3125	3125/1701	224/121	224/121
246	?	448/243	225/121	13/7
247	50/27	50/27	50/27	50/27
248	59049/31250	625/336	144/77	121/65
249	?	28/15	28/15	28/15
250	15/8	15/8	15/8	15/8
251	?	648/343	539/288	169/90
252	?	189/100	66/35	66/35
253	243/128	243/128	243/128	49/26
254	?	3200/1701	121/64	121/64
255	78125/41472	1372/729	125/66	91/48
256	256/135	256/135	256/135	99/52
257	?	40/21	21/11	21/11
258	15625/8192	343/180	154/81	154/81
259	48/25	48/25	48/25	48/25
260	?	27/14	27/14	27/14
261	12500/6561	3087/1600	77/40	25/13
262	243/125	243/125	243/125	52/27
263	?	1400/729	242/125	126/65
264	625/324	625/324	64/33	64/33
265	19683/10000	784/405	150/77	39/20
266	?	35/18	35/18	35/18
267	125/64	96/49	96/49	96/49
268	6144/3125	49/25	49/25	49/25
269	?	63/32	55/28	55/28
270	2025/1024	486/245	486/245	65/33
271	31104/15625	3969/2000	99/50	99/50
272	?	5103/2560	240/121	77/39
273	160/81	160/81	160/81	160/81
274	?	125/63	125/63	125/63
275	?	448/225	243/121	243/121
276	2/1	2/1	2/1	2/1