234edo

Welcome to 234edo

234edo = 13edo × 18edo

Distinctively interesting choice for an edo, due to its divisibility by both 13 and 18. This means it can be used to play 13edo music and 18edo music at the same time, using the 234/18 and 234/13 vals respectively.

5.128

234edo has a step size of 5.1282051282051 cents. It is a commatonal EDO, because the step size represents commas like 15552/15625, 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 234edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
14/13, 13/7	0.093
13/12, 24/13	0.111
7/6, 12/7	0.204
8/7, 7/4	0.405
16/13, 13/8	0.498
4/3, 3/2	0.609
18/13, 13/9	0.72
9/7, 14/9	0.813
16/15, 15/8	1.089
9/8, 16/9	1.218
11/9, 18/11	1.31
15/14, 28/15	1.494
15/13, 26/15	1.587
5/4, 8/5	1.698
12/11, 11/6	1.919
13/11, 22/13	2.03
7/5, 10/7	2.103
14/11, 11/7	2.123
13/10, 20/13	2.196
6/5, 5/3	2.307
11/8, 16/11	2.528
10/9, 9/5	2.917
15/11, 22/15	3.617
11/10, 20/11	4.227

Table of 234edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	15552/15625	225/224	225/224	225/224
2	?	245/243	100/99	100/99
3	20000/19683	875/864	176/175	105/104
4	2048/2025	126/125	99/98	78/77
5	81/80	64/63	64/63	64/63
6	78732/78125	50/49	50/49	50/49
7	?	49/48	45/44	45/44
8	250/243	250/243	250/243	40/39
9	128/125	128/125	125/121	125/121
10	6561/6400	36/35	36/35	36/35
11	?	405/392	33/32	33/32
12	20480/19683	28/27	28/27	28/27
13	25/24	25/24	25/24	25/24
14	648/625	648/625	363/350	26/25
15	?	256/245	256/245	117/112
16	62500/59049	360/343	22/21	22/21
17	256/243	21/20	21/20	21/20
18	135/128	135/128	128/121	96/91
19	6561/6250	343/324	35/33	35/33
20	?	1225/1152	132/125	52/49
21	3125/2916	729/686	297/280	117/110
22	16/15	16/15	16/15	16/15
23	2187/2048	15/14	15/14	15/14
24	?	343/320	189/176	189/176
25	64000/59049	175/162	175/162	14/13
26	625/576	625/576	242/225	225/208
27	27/25	27/25	27/25	13/12
28	?	160/147	88/81	88/81
29	?	49/45	12/11	12/11
30	800/729	35/32	35/32	35/32
31	1125/1024	625/567	400/363	100/91
32	2187/2000	192/175	192/175	192/175
33	?	54/49	11/10	11/10
34	65536/59049	441/400	243/220	195/176
35	10/9	10/9	10/9	10/9
36	3456/3125	125/112	49/44	49/44
37	?	972/875	693/625	39/35
38	?	384/343	352/315	143/128
39	4096/3645	28/25	28/25	28/25
40	9/8	9/8	9/8	9/8
41	17496/15625	500/441	112/99	44/39
42	?	245/216	25/22	25/22
43	2500/2187	875/768	198/175	143/126
44	256/225	256/225	256/225	91/80
45	729/640	8/7	8/7	8/7
46	?	225/196	55/48	55/48
47	?	147/128	147/128	143/125
48	125/108	125/108	125/108	15/13
49	144/125	144/125	121/105	52/45
50	59049/51200	81/70	81/70	65/56
51	?	400/343	64/55	64/55
52	2560/2187	7/6	7/6	7/6
53	75/64	75/64	75/64	75/64
54	729/625	729/625	350/297	117/100
55	?	288/245	88/75	88/75
56	15625/13122	147/125	33/28	13/11
57	32/27	32/27	32/27	32/27
58	1215/1024	25/21	25/21	25/21
59	59049/50000	343/288	105/88	105/88
60	?	875/729	297/250	117/98
61	3125/2592	448/375	176/147	125/104
62	6/5	6/5	6/5	6/5
63	19683/16384	135/112	77/64	77/64
64	?	98/81	40/33	40/33
65	8000/6561	175/144	147/121	63/52
66	625/512	625/512	121/100	91/75
67	243/200	128/105	128/105	39/32
68	?	60/49	11/9	11/9
69	?	49/40	27/22	27/22
70	100/81	100/81	100/81	16/13
71	768/625	625/504	150/121	150/121
72	19683/16000	216/175	121/98	26/21
73	?	243/196	99/80	99/80
74	8192/6561	56/45	56/45	56/45
75	5/4	5/4	5/4	5/4
76	3888/3125	1125/896	441/352	156/125
77	?	1225/972	125/99	49/39
78	25000/19683	432/343	44/35	44/35
79	512/405	63/50	63/50	63/50
80	81/64	80/63	80/63	80/63
81	19683/15625	125/98	14/11	14/11
82	?	245/192	225/176	225/176
83	625/486	625/486	625/486	50/39
84	32/25	32/25	32/25	32/25
85	6561/5120	9/7	9/7	9/7
86	?	1029/800	128/99	128/99
87	25600/19683	35/27	35/27	35/27
88	125/96	125/96	125/96	125/96
89	162/125	162/125	162/125	13/10
90	?	64/49	64/49	64/49
91	78125/59049	98/75	55/42	55/42
92	320/243	21/16	21/16	21/16
93	675/512	250/189	160/121	120/91
94	6561/5000	1152/875	175/132	169/128
95	?	324/245	33/25	33/25
96	15625/11664	896/675	297/224	117/88
97	4/3	4/3	4/3	4/3
98	10935/8192	75/56	75/56	75/56
99	?	343/256	343/256	169/126
100	80000/59049	875/648	490/363	35/26
101	3125/2304	168/125	66/49	66/49
102	27/20	27/20	27/20	27/20
103	?	200/147	110/81	88/65
104	?	49/36	15/11	15/11
105	1000/729	175/128	175/128	143/105
106	512/375	512/375	500/363	125/91
107	2187/1600	48/35	48/35	48/35
108	?	135/98	11/8	11/8
109	81920/59049	112/81	112/81	112/81
110	25/18	25/18	25/18	18/13
111	864/625	625/448	242/175	104/75
112	?	243/175	243/175	39/28
113	?	480/343	88/63	88/63
114	1024/729	7/5	7/5	7/5
115	45/32	45/32	45/32	45/32
116	4374/3125	343/243	140/99	55/39
117	?	1225/864	125/88	125/88
118	3125/2187	486/343	99/70	78/55
119	64/45	64/45	64/45	64/45
120	729/512	10/7	10/7	10/7
121	?	343/240	63/44	63/44
122	?	350/243	350/243	56/39
123	625/432	625/432	175/121	75/52
124	36/25	36/25	36/25	13/9
125	59049/40960	81/56	81/56	81/56
126	?	196/135	16/11	16/11
127	3200/2187	35/24	35/24	35/24
128	375/256	375/256	363/250	143/98
129	729/500	256/175	256/175	117/80
130	?	72/49	22/15	22/15
131	78125/52488	147/100	81/55	65/44
132	40/27	40/27	40/27	40/27
133	4608/3125	125/84	49/33	49/33
134	59049/40000	1296/875	363/245	52/35
135	?	512/343	297/200	143/96
136	15625/10368	112/75	112/75	112/75
137	3/2	3/2	3/2	3/2
138	23328/15625	675/448	385/256	176/117
139	?	245/162	50/33	50/33
140	10000/6561	875/576	264/175	256/169
141	1024/675	189/125	121/80	91/60
142	243/160	32/21	32/21	32/21
143	?	75/49	55/36	55/36
144	?	49/32	49/32	49/32
145	125/81	125/81	125/81	20/13
146	192/125	192/125	192/125	192/125
147	19683/12800	54/35	54/35	54/35
148	?	1215/784	99/64	99/64
149	10240/6561	14/9	14/9	14/9
150	25/16	25/16	25/16	25/16
151	972/625	972/625	972/625	39/25
152	?	384/245	352/225	225/143
153	31250/19683	196/125	11/7	11/7
154	128/81	63/40	63/40	63/40
155	405/256	100/63	100/63	100/63
156	19683/12500	343/216	35/22	35/22
157	?	1225/768	198/125	78/49
158	3125/1944	1792/1125	704/441	125/78
159	8/5	8/5	8/5	8/5
160	6561/4096	45/28	45/28	45/28
161	?	392/243	160/99	160/99
162	32000/19683	175/108	125/77	21/13
163	625/384	625/384	121/75	121/75
164	81/50	81/50	81/50	13/8
165	?	80/49	44/27	44/27
166	?	49/30	18/11	18/11
167	400/243	105/64	105/64	64/39
168	1024/625	625/378	200/121	150/91
169	6561/4000	288/175	242/147	104/63
170	?	81/49	33/20	33/20
171	32768/19683	224/135	128/77	128/77
172	5/3	5/3	5/3	5/3
173	5184/3125	375/224	147/88	147/88
174	?	1225/729	500/297	117/70
175	?	576/343	176/105	175/104
176	2048/1215	42/25	42/25	42/25
177	27/16	27/16	27/16	27/16
178	26244/15625	250/147	56/33	22/13
179	?	245/144	75/44	75/44
180	1250/729	875/512	297/175	143/84
181	128/75	128/75	128/75	128/75
182	2187/1280	12/7	12/7	12/7
183	?	343/200	55/32	55/32
184	?	140/81	140/81	112/65
185	125/72	125/72	125/72	45/26
186	216/125	216/125	121/70	26/15
187	?	243/140	243/140	195/112
188	?	392/225	96/55	96/55
189	1280/729	7/4	7/4	7/4
190	225/128	225/128	225/128	160/91
191	2187/1250	1536/875	175/99	169/96
192	?	432/245	44/25	44/25
193	15625/8748	441/250	99/56	39/22
194	16/9	16/9	16/9	16/9
195	3645/2048	25/14	25/14	25/14
196	?	343/192	315/176	256/143
197	?	875/486	875/486	70/39
198	3125/1728	224/125	88/49	88/49
199	9/5	9/5	9/5	9/5
200	59049/32768	405/224	231/128	231/128
201	?	49/27	20/11	20/11
202	4000/2187	175/96	175/96	175/96
203	1875/1024	1134/625	363/200	91/50
204	729/400	64/35	64/35	64/35
205	?	90/49	11/6	11/6
206	?	147/80	81/44	81/44
207	50/27	50/27	50/27	24/13
208	1152/625	625/336	225/121	225/121
209	59049/32000	324/175	231/125	13/7
210	?	640/343	297/160	297/160
211	4096/2187	28/15	28/15	28/15
212	15/8	15/8	15/8	15/8
213	5832/3125	1372/729	560/297	169/90
214	?	1225/648	125/66	49/26
215	12500/6561	648/343	66/35	66/35
216	256/135	189/100	121/64	91/48
217	243/128	40/21	40/21	40/21
218	59049/31250	343/180	21/11	21/11
219	?	245/128	245/128	143/75
220	625/324	625/324	625/324	25/13
221	48/25	48/25	48/25	48/25
222	19683/10240	27/14	27/14	27/14
223	?	784/405	64/33	64/33
224	12800/6561	35/18	35/18	35/18
225	125/64	125/64	125/64	125/64
226	243/125	243/125	243/125	39/20
227	?	96/49	88/45	88/45
228	78125/39366	49/25	49/25	49/25
229	160/81	63/32	63/32	63/32
230	2025/1024	125/63	125/63	77/39
231	19683/10000	1715/864	175/88	175/88
232	?	486/245	99/50	99/50
233	15625/7776	448/225	448/225	351/176
234	2/1	2/1	2/1	2/1