285edo

Welcome to 285edo

285edo = 15edo × 19edo

Distinctively interesting choice for an edo, due to its divisibility by both 15 and 19. This means it can be used to play 15edo music and 19edo music at the same time, using the 285/19 and 285/15 vals respectively.

4.211

285edo has a step size of 4.2105263157895 cents. It is a commatonal EDO, because the step size represents commas like 2400/2401, 385/384, 196/195. It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 285edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
6/5, 5/3	0.148
11/8, 16/11	0.261
13/12, 24/13	0.375
8/7, 7/4	0.405
13/10, 20/13	0.523
14/11, 11/7	0.666
15/13, 26/15	0.68
11/10, 20/11	0.794
18/13, 13/9	0.828
12/11, 11/6	0.942
5/4, 8/5	1.055
4/3, 3/2	1.203
13/11, 22/13	1.317
10/9, 9/5	1.351
7/5, 10/7	1.46
16/13, 13/8	1.578
7/6, 12/7	1.608
14/13, 13/7	1.982
15/11, 22/15	1.997
11/9, 18/11	2.145
16/15, 15/8	2.258
9/8, 16/9	2.406
15/14, 28/15	2.662
9/7, 14/9	2.811

Table of 285edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	2400/2401	385/384	196/195
2	15625/15552	245/243	176/175	176/175
3	2048/2025	126/125	121/120	121/120
4	78732/78125	1728/1715	100/99	91/90
5	20000/19683	686/675	99/98	99/98
6	81/80	64/63	64/63	64/63
7	?	2430/2401	55/54	55/54
8	3125/3072	49/48	49/48	49/48
9	128/125	50/49	50/49	50/49
10	?	8748/8575	45/44	40/39
11	250/243	250/243	250/243	147/143
12	6561/6400	36/35	36/35	36/35
13	?	16807/16200	33/32	33/32
14	16875/16384	28/27	28/27	28/27
15	648/625	405/392	343/330	343/330
16	?	2401/2304	80/77	26/25
17	25/24	25/24	25/24	25/24
18	16384/15625	256/245	256/245	245/234
19	?	6125/5832	22/21	22/21
20	256/243	21/20	21/20	21/20
21	6561/6250	360/343	360/343	343/325
22	62500/59049	343/324	81/77	81/77
23	135/128	135/128	128/121	55/52
24	82944/78125	1296/1225	35/33	35/33
25	78125/73728	1225/1152	297/280	52/49
26	16/15	16/15	16/15	16/15
27	?	729/686	77/72	77/72
28	3125/2916	343/320	343/320	343/320
29	2187/2048	15/14	15/14	15/14
30	?	6561/6125	189/176	14/13
31	64000/59049	175/162	175/162	175/162
32	27/25	27/25	27/25	27/25
33	?	2592/2401	88/81	13/12
34	625/576	49/45	49/45	49/45
35	2048/1875	160/147	160/147	99/91
36	?	2401/2187	12/11	12/11
37	800/729	35/32	35/32	35/32
38	2187/2000	192/175	192/175	192/175
39	?	8575/7776	11/10	11/10
40	1125/1024	441/400	400/363	182/165
41	3456/3125	54/49	54/49	54/49
42	?	2401/2160	243/220	72/65
43	10/9	10/9	10/9	10/9
44	?	972/875	49/44	49/44
45	78125/69984	1715/1536	352/315	39/35
46	4096/3645	28/25	28/25	28/25
47	17496/15625	384/343	384/343	91/81
48	?	1372/1215	55/49	55/49
49	9/8	9/8	9/8	9/8
50	?	2700/2401	112/99	112/99
51	15625/13824	245/216	198/175	198/175
52	256/225	256/225	256/225	143/126
53	?	1944/1715	25/22	25/22
54	2500/2187	343/300	343/300	343/300
55	729/640	8/7	8/7	8/7
56	?	10935/9604	55/48	55/48
57	9375/8192	147/128	147/128	147/128
58	144/125	144/125	121/105	121/105
59	?	12005/10368	231/200	15/13
60	125/108	125/108	125/108	125/108
61	32768/28125	81/70	81/70	81/70
62	?	16807/14400	64/55	64/55
63	2560/2187	7/6	7/6	7/6
64	729/625	400/343	400/343	286/245
65	?	1715/1458	88/75	88/75
66	75/64	75/64	75/64	75/64
67	18432/15625	288/245	288/245	245/208
68	?	2401/2025	33/28	33/28
69	32/27	32/27	32/27	13/11
70	59049/50000	405/343	196/165	196/165
71	15625/13122	343/288	297/250	108/91
72	1215/1024	25/21	25/21	25/21
73	93312/78125	1458/1225	105/88	105/88
74	78125/65536	875/729	176/147	117/98
75	6/5	6/5	6/5	6/5
76	?	2880/2401	77/64	65/54
77	3125/2592	98/81	98/81	98/81
78	4096/3375	135/112	121/100	110/91
79	?	10368/8575	40/33	40/33
80	8000/6561	175/144	147/121	147/121
81	243/200	128/105	128/105	128/105
82	?	2916/2401	11/9	11/9
83	625/512	49/40	49/40	49/40
84	768/625	60/49	60/49	60/49
85	?	2401/1944	27/22	16/13
86	100/81	100/81	100/81	100/81
87	19683/16000	216/175	121/98	121/98
88	?	8575/6912	99/80	26/21
89	8192/6561	56/45	56/45	56/45
90	3888/3125	243/196	243/196	243/196
91	?	2401/1920	96/77	81/65
92	5/4	5/4	5/4	5/4
93	98304/78125	1536/1225	441/352	49/39
94	78125/62208	1225/972	44/35	44/35
95	512/405	63/50	63/50	63/50
96	19683/15625	432/343	125/99	91/72
97	25000/19683	343/270	343/270	343/270
98	81/64	80/63	80/63	33/26
99	?	6075/4802	14/11	14/11
100	15625/12288	245/192	245/192	245/192
101	32/25	32/25	32/25	32/25
102	?	2187/1715	77/60	50/39
103	625/486	625/486	440/343	440/343
104	6561/5120	9/7	9/7	9/7
105	?	16807/12960	128/99	84/65
106	25600/19683	35/27	35/27	35/27
107	162/125	162/125	162/125	162/125
108	?	8575/6561	100/77	13/10
109	125/96	98/75	98/75	98/75
110	4096/3125	64/49	64/49	64/49
111	?	4802/3645	55/42	55/42
112	320/243	21/16	21/16	21/16
113	6561/5000	450/343	392/297	343/260
114	78125/59049	1715/1296	33/25	33/25
115	675/512	250/189	160/121	143/108
116	20736/15625	324/245	175/132	175/132
117	?	2401/1800	297/224	65/49
118	4/3	4/3	4/3	4/3
119	?	3200/2401	147/110	147/110
120	15625/11664	343/256	343/256	234/175
121	8192/6075	75/56	75/56	75/56
122	?	2304/1715	400/297	35/26
123	80000/59049	875/648	66/49	66/49
124	27/20	27/20	27/20	27/20
125	?	3240/2401	110/81	65/48
126	3125/2304	49/36	49/36	49/36
127	512/375	200/147	200/147	143/105
128	?	11664/8575	15/11	15/11
129	1000/729	175/128	175/128	175/128
130	2187/1600	48/35	48/35	48/35
131	?	6561/4802	11/8	11/8
132	5625/4096	112/81	112/81	91/66
133	864/625	135/98	135/98	135/98
134	?	2401/1728	243/176	18/13
135	25/18	25/18	25/18	25/18
136	65536/46875	243/175	243/175	243/175
137	?	6125/4374	88/63	39/28
138	1024/729	7/5	7/5	7/5
139	4374/3125	480/343	480/343	455/324
140	?	343/243	108/77	108/77
141	45/32	45/32	45/32	45/32
142	?	1728/1225	140/99	140/99
143	78125/55296	1225/864	99/70	99/70
144	64/45	64/45	64/45	64/45
145	?	486/343	77/54	77/54
146	3125/2187	343/240	343/240	343/240
147	729/512	10/7	10/7	10/7
148	?	8748/6125	63/44	56/39
149	46875/32768	350/243	350/243	350/243
150	36/25	36/25	36/25	36/25
151	?	3456/2401	231/160	13/9
152	625/432	196/135	175/121	175/121
153	8192/5625	81/56	81/56	81/56
154	?	9604/6561	16/11	16/11
155	3200/2187	35/24	35/24	35/24
156	729/500	256/175	256/175	143/98
157	?	8575/5832	22/15	22/15
158	375/256	147/100	147/100	147/100
159	4608/3125	72/49	72/49	72/49
160	?	2401/1620	81/55	81/55
161	40/27	40/27	40/27	40/27
162	59049/40000	1296/875	49/33	49/33
163	78125/52488	1715/1152	297/200	52/35
164	6075/4096	112/75	112/75	112/75
165	23328/15625	512/343	512/343	175/117
166	?	2401/1600	220/147	220/147
167	3/2	3/2	3/2	3/2
168	?	3600/2401	385/256	98/65
169	15625/10368	245/162	245/162	245/162
170	1024/675	189/125	121/80	121/80
171	?	2592/1715	50/33	50/33
172	10000/6561	343/225	297/196	297/196
173	243/160	32/21	32/21	32/21
174	?	3645/2401	55/36	55/36
175	3125/2048	49/32	49/32	49/32
176	192/125	75/49	75/49	75/49
177	?	12005/7776	77/50	20/13
178	125/81	125/81	125/81	125/81
179	19683/12800	54/35	54/35	54/35
180	?	16807/10800	99/64	65/42
181	10240/6561	14/9	14/9	14/9
182	972/625	972/625	343/220	343/220
183	?	2401/1536	120/77	39/25
184	25/16	25/16	25/16	25/16
185	24576/15625	384/245	384/245	245/156
186	?	6125/3888	11/7	11/7
187	128/81	63/40	63/40	52/33
188	19683/12500	540/343	385/243	385/243
189	31250/19683	343/216	198/125	144/91
190	405/256	100/63	100/63	100/63
191	?	1944/1225	35/22	35/22
192	78125/49152	1225/768	704/441	78/49
193	8/5	8/5	8/5	8/5
194	?	2187/1372	77/48	77/48
195	3125/1944	392/243	392/243	392/243
196	6561/4096	45/28	45/28	45/28
197	?	13824/8575	160/99	21/13
198	32000/19683	175/108	175/108	175/108
199	81/50	81/50	81/50	81/50
200	?	3888/2401	44/27	13/8
201	625/384	49/30	49/30	49/30
202	1024/625	80/49	80/49	80/49
203	?	2401/1458	18/11	18/11
204	400/243	105/64	105/64	105/64
205	6561/4000	288/175	242/147	242/147
206	?	8575/5184	33/20	33/20
207	3375/2048	224/135	200/121	91/55
208	5184/3125	81/49	81/49	81/49
209	?	2401/1440	128/77	108/65
210	5/3	5/3	5/3	5/3
211	?	1458/875	147/88	147/88
212	78125/46656	1225/729	176/105	117/70
213	2048/1215	42/25	42/25	42/25
214	26244/15625	576/343	500/297	91/54
215	?	686/405	165/98	165/98
216	27/16	27/16	27/16	22/13
217	?	4050/2401	56/33	56/33
218	15625/9216	245/144	245/144	245/144
219	128/75	128/75	128/75	128/75
220	?	2916/1715	75/44	75/44
221	1250/729	343/200	343/200	245/143
222	2187/1280	12/7	12/7	12/7
223	?	16807/9720	55/32	55/32
224	28125/16384	140/81	140/81	140/81
225	216/125	216/125	121/70	121/70
226	?	12005/6912	400/231	26/15
227	125/72	125/72	125/72	125/72
228	16384/9375	243/140	243/140	243/140
229	?	16807/9600	96/55	96/55
230	1280/729	7/4	7/4	7/4
231	2187/1250	600/343	600/343	343/195
232	?	1715/972	44/25	44/25
233	225/128	225/128	225/128	143/81
234	27648/15625	432/245	175/99	175/99
235	?	2401/1350	99/56	99/56
236	16/9	16/9	16/9	16/9
237	?	1215/686	98/55	98/55
238	15625/8748	343/192	343/192	162/91
239	3645/2048	25/14	25/14	25/14
240	?	2187/1225	315/176	70/39
241	?	875/486	88/49	88/49
242	9/5	9/5	9/5	9/5
243	?	4320/2401	231/128	65/36
244	3125/1728	49/27	49/27	49/27
245	2048/1125	405/224	363/200	165/91
246	?	12005/6561	20/11	20/11
247	4000/2187	175/96	175/96	175/96
248	729/400	64/35	64/35	64/35
249	?	4374/2401	11/6	11/6
250	1875/1024	147/80	147/80	147/80
251	1152/625	90/49	90/49	90/49
252	?	2401/1296	81/44	24/13
253	50/27	50/27	50/27	50/27
254	59049/32000	324/175	245/132	245/132
255	?	8575/4608	297/160	13/7
256	4096/2187	28/15	28/15	28/15
257	5832/3125	640/343	539/288	455/243
258	?	1372/729	144/77	144/77
259	15/8	15/8	15/8	15/8
260	?	2304/1225	560/297	49/26
261	78125/41472	1225/648	66/35	66/35
262	256/135	189/100	121/64	104/55
263	59049/31250	648/343	125/66	91/48
264	12500/6561	343/180	343/180	343/180
265	243/128	40/21	40/21	40/21
266	?	11664/6125	21/11	21/11
267	15625/8192	245/128	245/128	245/128
268	48/25	48/25	48/25	48/25
269	?	4608/2401	77/40	25/13
270	625/324	625/324	625/324	625/324
271	19683/10240	27/14	27/14	27/14
272	?	16807/8640	64/33	64/33
273	12800/6561	35/18	35/18	35/18
274	243/125	243/125	243/125	243/125
275	?	8575/4374	88/45	39/20
276	125/64	49/25	49/25	49/25
277	6144/3125	96/49	96/49	96/49
278	?	2401/1215	55/28	55/28
279	160/81	63/32	63/32	63/32
280	19683/10000	675/343	196/99	196/99
281	78125/39366	1715/864	99/50	99/50
282	2025/1024	125/63	125/63	125/63
283	31104/15625	486/245	175/88	175/88
284	?	2401/1200	768/385	195/98
285	2/1	2/1	2/1	2/1