230edo

Welcome to 230edo

230edo = 10edo × 23edo

Distinctively interesting choice for an edo, due to its divisibility by both 10 and 23. This means it can be used to play 10edo music and 23edo music at the same time, using the 230/23 and 230/10 vals respectively.

5.217

230edo has a step size of 5.2173913043478 cents. It is a commatonal EDO, because the step size represents commas like . It is also a nanotonal EDO.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 230edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
14/11, 11/7	0.117
5/4, 8/5	0.227
13/10, 20/13	0.301
15/11, 22/15	0.441
16/13, 13/8	0.528
15/14, 28/15	0.557
12/11, 11/6	0.667
7/6, 12/7	0.784
8/7, 7/4	1.609
11/8, 16/11	1.726
7/5, 10/7	1.836
11/10, 20/11	1.952
14/13, 13/7	2.137
16/15, 15/8	2.166
13/11, 22/13	2.253
4/3, 3/2	2.393
6/5, 5/3	2.62
15/13, 26/15	2.694
13/12, 24/13	2.92
11/9, 18/11	3.06
9/7, 14/9	3.177
9/8, 16/9	4.786
10/9, 9/5	5.012
18/13, 13/9	5.313

Table of 230edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	15552/15625	245/243	245/243	169/168
2	2048/2025	225/224	100/99	100/99
3	?	875/864	121/120	91/90
4	32805/32768	64/63	64/63	64/63
5	3125/3072	686/675	55/54	55/54
6	81/80	50/49	50/49	50/49
7	250/243	49/48	49/48	49/48
8	128/125	128/125	45/44	40/39
9	20480/19683	525/512	77/75	65/63
10	?	36/35	36/35	36/35
11	16875/16384	28/27	28/27	28/27
12	6561/6400	405/392	80/77	80/77
13	25/24	25/24	25/24	25/24
14	648/625	256/245	126/121	27/26
15	256/243	256/243	22/21	22/21
16	16384/15625	360/343	288/275	150/143
17	?	21/20	21/20	21/20
18	78125/73728	343/324	81/77	81/77
19	135/128	135/128	35/33	35/33
20	3125/2916	1225/1152	605/567	260/243
21	16/15	16/15	16/15	16/15
22	64000/59049	729/686	77/72	77/72
23	32768/30375	15/14	15/14	15/14
24	?	175/162	175/162	175/162
25	2187/2048	672/625	189/176	14/13
26	625/576	625/576	88/81	13/12
27	27/25	27/25	27/25	27/25
28	800/729	49/45	49/45	49/45
29	2048/1875	243/224	12/11	12/11
30	65536/59049	35/32	35/32	35/32
31	?	192/175	192/175	100/91
32	1125/1024	448/405	11/10	11/10
33	2187/2000	54/49	54/49	54/49
34	10/9	10/9	10/9	10/9
35	3456/3125	2401/2160	243/220	72/65
36	4096/3645	125/112	49/44	39/35
37	?	384/343	121/108	91/81
38	18225/16384	28/25	28/25	28/25
39	15625/13824	1372/1215	275/243	169/150
40	9/8	9/8	9/8	9/8
41	2500/2187	245/216	245/216	143/126
42	256/225	256/225	25/22	25/22
43	?	875/768	154/135	91/80
44	?	8/7	8/7	8/7
45	9375/8192	280/243	55/48	55/48
46	729/640	225/196	63/55	63/55
47	125/108	125/108	121/105	52/45
48	144/125	144/125	140/121	15/13
49	2560/2187	784/675	220/189	65/56
50	32768/28125	81/70	64/55	64/55
51	?	7/6	7/6	7/6
52	59049/51200	1024/875	90/77	90/77
53	75/64	75/64	75/64	75/64
54	729/625	288/245	288/245	168/143
55	32/27	32/27	32/27	13/11
56	18432/15625	405/343	324/275	200/169
57	65536/54675	25/21	25/21	25/21
58	78125/65536	343/288	144/121	108/91
59	1215/1024	448/375	105/88	105/88
60	3125/2592	1225/1024	539/450	65/54
61	6/5	6/5	6/5	6/5
62	8000/6561	98/81	77/64	77/64
63	4096/3375	135/112	40/33	40/33
64	?	175/144	121/100	91/75
65	19683/16384	128/105	128/105	63/52
66	625/512	625/512	11/9	11/9
67	243/200	60/49	60/49	60/49
68	100/81	49/40	49/40	49/40
69	768/625	768/625	27/22	16/13
70	8192/6561	315/256	121/98	26/21
71	?	216/175	150/121	150/121
72	10125/8192	56/45	56/45	56/45
73	19683/16000	243/196	96/77	96/77
74	5/4	5/4	5/4	5/4
75	3888/3125	1225/972	675/539	81/65
76	512/405	512/405	44/35	44/35
77	98304/78125	432/343	121/96	91/72
78	?	63/50	63/50	63/50
79	15625/12288	343/270	275/216	275/216
80	81/64	81/64	14/11	14/11
81	625/486	245/192	242/189	104/81
82	32/25	32/25	32/25	32/25
83	25600/19683	1568/1215	77/60	77/60
84	65536/50625	9/7	9/7	9/7
85	84375/65536	35/27	35/27	35/27
86	6561/5120	2025/1568	100/77	84/65
87	125/96	125/96	125/96	13/10
88	162/125	64/49	64/49	64/49
89	320/243	98/75	55/42	55/42
90	4096/3125	450/343	72/55	72/55
91	?	21/16	21/16	21/16
92	?	1152/875	160/121	120/91
93	675/512	675/512	33/25	33/25
94	6561/5000	324/245	324/245	189/143
95	4/3	4/3	4/3	4/3
96	20736/15625	980/729	385/288	169/126
97	8192/6075	75/56	75/56	75/56
98	?	343/256	121/90	121/90
99	10935/8192	168/125	66/49	35/26
100	3125/2304	2744/2025	110/81	65/48
101	27/20	27/20	27/20	27/20
102	1000/729	49/36	49/36	49/36
103	512/375	512/375	15/11	15/11
104	81920/59049	175/128	175/128	175/128
105	?	48/35	48/35	48/35
106	5625/4096	112/81	11/8	11/8
107	2187/1600	135/98	135/98	135/98
108	25/18	25/18	25/18	25/18
109	864/625	864/625	168/121	18/13
110	1024/729	625/448	88/63	39/28
111	65536/46875	243/175	243/175	200/143
112	91125/65536	7/5	7/5	7/5
113	78125/55296	343/243	108/77	108/77
114	45/32	45/32	45/32	45/32
115	3125/2187	1225/864	847/600	637/450
116	64/45	64/45	64/45	64/45
117	?	486/343	77/54	77/54
118	?	10/7	10/7	10/7
119	46875/32768	343/240	275/192	143/100
120	729/512	729/512	63/44	56/39
121	625/432	625/432	121/84	13/9
122	36/25	36/25	36/25	36/25
123	3200/2187	196/135	196/135	196/135
124	8192/5625	81/56	16/11	16/11
125	?	35/24	35/24	35/24
126	59049/40960	256/175	225/154	189/130
127	375/256	375/256	22/15	22/15
128	729/500	72/49	72/49	72/49
129	40/27	40/27	40/27	40/27
130	4608/3125	2025/1372	81/55	81/55
131	16384/10935	125/84	49/33	49/33
132	?	512/343	121/81	121/81
133	6075/4096	112/75	112/75	112/75
134	15625/10368	729/490	539/360	252/169
135	3/2	3/2	3/2	3/2
136	10000/6561	245/162	245/162	169/112
137	1024/675	675/448	50/33	50/33
138	?	875/576	121/80	91/60
139	98415/65536	32/21	32/21	32/21
140	3125/2048	343/225	55/36	55/36
141	243/160	75/49	75/49	75/49
142	125/81	49/32	49/32	49/32
143	192/125	192/125	135/88	20/13
144	10240/6561	1575/1024	77/50	65/42
145	?	54/35	54/35	54/35
146	50625/32768	14/9	14/9	14/9
147	19683/12800	1215/784	120/77	120/77
148	25/16	25/16	25/16	25/16
149	972/625	384/245	189/121	81/52
150	128/81	128/81	11/7	11/7
151	24576/15625	540/343	385/243	225/143
152	?	63/40	63/40	63/40
153	78125/49152	343/216	192/121	143/90
154	405/256	405/256	35/22	35/22
155	3125/1944	1225/768	605/378	130/81
156	8/5	8/5	8/5	8/5
157	32000/19683	392/243	77/48	77/48
158	16384/10125	45/28	45/28	45/28
159	?	175/108	121/75	121/75
160	6561/4096	512/315	125/77	21/13
161	625/384	625/384	44/27	13/8
162	81/50	80/49	80/49	80/49
163	400/243	49/30	49/30	49/30
164	1024/625	729/448	18/11	18/11
165	32768/19683	105/64	105/64	104/63
166	?	288/175	200/121	150/91
167	3375/2048	224/135	33/20	33/20
168	6561/4000	81/49	81/49	81/49
169	5/3	5/3	5/3	5/3
170	5184/3125	1225/729	729/440	108/65
171	2048/1215	375/224	147/88	117/70
172	?	576/343	121/72	91/54
173	54675/32768	42/25	42/25	42/25
174	15625/9216	686/405	275/162	169/100
175	27/16	27/16	27/16	22/13
176	1250/729	245/144	245/144	143/84
177	128/75	128/75	75/44	75/44
178	?	875/512	77/45	77/45
179	?	12/7	12/7	12/7
180	28125/16384	140/81	55/32	55/32
181	2187/1280	675/392	189/110	112/65
182	125/72	125/72	121/70	26/15
183	216/125	216/125	210/121	45/26
184	1280/729	392/225	110/63	110/63
185	16384/9375	243/140	96/55	96/55
186	?	7/4	7/4	7/4
187	?	1536/875	135/77	135/77
188	225/128	225/128	44/25	44/25
189	2187/1250	432/245	432/245	252/143
190	16/9	16/9	16/9	16/9
191	27648/15625	1215/686	385/216	300/169
192	32768/18225	25/14	25/14	25/14
193	?	343/192	216/121	143/80
194	3645/2048	224/125	88/49	70/39
195	3125/1728	2187/1225	440/243	65/36
196	9/5	9/5	9/5	9/5
197	4000/2187	49/27	49/27	49/27
198	2048/1125	405/224	20/11	20/11
199	?	175/96	175/96	91/50
200	59049/32768	64/35	64/35	64/35
201	1875/1024	448/243	11/6	11/6
202	729/400	90/49	90/49	90/49
203	50/27	50/27	50/27	50/27
204	1152/625	1152/625	81/44	24/13
205	4096/2187	625/336	231/125	13/7
206	?	324/175	225/121	225/121
207	30375/16384	28/15	28/15	28/15
208	59049/32000	729/392	144/77	144/77
209	15/8	15/8	15/8	15/8
210	5832/3125	1225/648	847/450	243/130
211	256/135	256/135	66/35	49/26
212	?	648/343	121/64	91/48
213	?	40/21	40/21	40/21
214	15625/8192	343/180	275/144	143/75
215	243/128	243/128	21/11	21/11
216	625/324	245/128	121/63	52/27
217	48/25	48/25	48/25	25/13
218	12800/6561	784/405	77/40	77/40
219	32768/16875	27/14	27/14	27/14
220	?	35/18	35/18	35/18
221	19683/10240	1024/525	150/77	126/65
222	125/64	125/64	88/45	39/20
223	243/125	96/49	96/49	96/49
224	160/81	49/25	49/25	49/25
225	6144/3125	675/343	108/55	108/55
226	65536/32805	63/32	63/32	63/32
227	?	1715/864	240/121	143/72
228	2025/1024	448/225	99/50	99/50
229	15625/7776	486/245	486/245	325/162
230	2/1	2/1	2/1	2/1