203edo

Welcome to 203edo

203edo = 7edo × 29edo

Distinctively interesting choice for an edo, due to its divisibility by both 7 and 29. This means it can be used to play 7edo music and 29edo music at the same time, using the 203/29 and 203/7 vals respectively.

5.911

203edo has a step size of 5.9113300492611 cents. It is a commatonal EDO, because the step size represents commas like 20000/19683, 225/224, 169/168.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 203edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
13/11, 22/13	0.445
11/10, 20/11	0.513
15/13, 26/15	0.535
16/15, 15/8	0.584
8/7, 7/4	0.632
7/6, 12/7	0.861
13/10, 20/13	0.958
15/11, 22/15	0.98
16/13, 13/8	1.119
15/14, 28/15	1.216
4/3, 3/2	1.493
11/8, 16/11	1.564
14/13, 13/7	1.751
5/4, 8/5	2.077
14/11, 11/7	2.196
9/7, 14/9	2.354
13/12, 24/13	2.612
7/5, 10/7	2.709
9/8, 16/9	2.987
12/11, 11/6	3.058
6/5, 5/3	3.571
18/13, 13/9	4.105
11/9, 18/11	4.551
10/9, 9/5	5.064

Table of 203edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	20000/19683	225/224	225/224	169/168
2	15552/15625	875/864	100/99	100/99
3	2048/2025	1728/1715	99/98	91/90
4	?	64/63	55/54	55/54
5	81/80	50/49	50/49	50/49
6	250/243	49/48	49/48	49/48
7	78732/78125	525/512	45/44	40/39
8	128/125	128/125	77/75	65/63
9	20480/19683	36/35	33/32	33/32
10	6561/6400	28/27	28/27	28/27
11	25/24	25/24	25/24	25/24
12	62500/59049	1875/1792	343/330	26/25
13	648/625	256/245	22/21	22/21
14	256/243	256/243	256/243	104/99
15	?	21/20	21/20	21/20
16	135/128	135/128	81/77	55/52
17	3125/2916	1225/1152	35/33	35/33
18	6561/6250	1296/1225	297/280	125/117
19	16/15	16/15	16/15	16/15
20	64000/59049	15/14	15/14	15/14
21	2187/2048	175/162	175/162	130/121
22	625/576	625/576	121/112	14/13
23	?	672/625	88/81	13/12
24	27/25	27/25	27/25	27/25
25	800/729	49/45	49/45	49/45
26	?	35/32	12/11	12/11
27	1125/1024	1125/1024	675/616	100/91
28	65536/59049	192/175	11/10	11/10
29	2187/2000	54/49	54/49	54/49
30	10/9	10/9	10/9	10/9
31	?	125/112	125/112	72/65
32	3456/3125	1715/1536	49/44	39/35
33	4096/3645	384/343	55/49	55/49
34	?	28/25	28/25	28/25
35	9/8	9/8	9/8	9/8
36	2500/2187	245/216	112/99	112/99
37	17496/15625	875/768	25/22	25/22
38	256/225	256/225	154/135	91/80
39	?	8/7	8/7	8/7
40	729/640	225/196	225/196	143/125
41	125/108	125/108	63/55	63/55
42	?	3125/2688	343/297	15/13
43	144/125	144/125	140/121	65/56
44	2560/2187	81/70	81/70	81/70
45	59049/51200	7/6	7/6	7/6
46	75/64	75/64	75/64	75/64
47	15625/13122	1024/875	88/75	88/75
48	729/625	288/245	33/28	33/28
49	32/27	32/27	32/27	13/11
50	?	25/21	25/21	25/21
51	1215/1024	343/288	196/165	108/91
52	3125/2592	1225/1024	105/88	105/88
53	59049/50000	448/375	448/375	65/54
54	6/5	6/5	6/5	6/5
55	8000/6561	98/81	98/81	98/81
56	19683/16384	175/144	40/33	40/33
57	625/512	625/512	297/245	63/52
58	?	128/105	11/9	11/9
59	243/200	60/49	60/49	60/49
60	100/81	49/40	49/40	49/40
61	?	315/256	27/22	16/13
62	768/625	768/625	154/125	26/21
63	8192/6561	216/175	99/80	99/80
64	19683/16000	56/45	56/45	56/45
65	5/4	5/4	5/4	5/4
66	25000/19683	1125/896	343/275	81/65
67	3888/3125	1536/1225	44/35	44/35
68	512/405	432/343	308/243	91/72
69	?	63/50	63/50	63/50
70	81/64	81/64	81/64	33/26
71	625/486	245/192	14/11	14/11
72	19683/15625	2625/2048	225/176	50/39
73	32/25	32/25	32/25	32/25
74	25600/19683	9/7	9/7	9/7
75	6561/5120	35/27	35/27	35/27
76	125/96	125/96	100/77	84/65
77	78125/59049	2048/1575	176/135	13/10
78	162/125	64/49	55/42	55/42
79	320/243	98/75	98/75	98/75
80	?	21/16	21/16	21/16
81	675/512	675/512	392/297	120/91
82	15625/11664	1152/875	33/25	33/25
83	6561/5000	324/245	297/224	121/91
84	4/3	4/3	4/3	4/3
85	80000/59049	75/56	75/56	75/56
86	10935/8192	343/256	121/90	121/90
87	3125/2304	2304/1715	66/49	35/26
88	?	168/125	110/81	65/48
89	27/20	27/20	27/20	27/20
90	1000/729	49/36	49/36	49/36
91	?	175/128	15/11	15/11
92	512/375	512/375	308/225	125/91
93	81920/59049	48/35	11/8	11/8
94	2187/1600	112/81	112/81	91/66
95	25/18	25/18	25/18	25/18
96	?	625/448	243/176	18/13
97	864/625	864/625	88/63	39/28
98	1024/729	243/175	243/175	169/121
99	?	7/5	7/5	7/5
100	45/32	45/32	45/32	45/32
101	3125/2187	1225/864	140/99	140/99
102	4374/3125	1728/1225	99/70	99/70
103	64/45	64/45	64/45	64/45
104	?	10/7	10/7	10/7
105	729/512	343/240	343/240	143/100
106	625/432	625/432	63/44	56/39
107	?	896/625	352/243	13/9
108	36/25	36/25	36/25	36/25
109	3200/2187	81/56	81/56	81/56
110	59049/40960	35/24	16/11	16/11
111	375/256	375/256	225/154	182/125
112	78125/52488	256/175	22/15	22/15
113	729/500	72/49	72/49	72/49
114	40/27	40/27	40/27	40/27
115	?	125/84	81/55	77/52
116	4608/3125	1715/1152	49/33	49/33
117	15625/10368	512/343	180/121	175/117
118	59049/40000	112/75	112/75	112/75
119	3/2	3/2	3/2	3/2
120	10000/6561	245/162	245/162	169/112
121	23328/15625	875/576	50/33	50/33
122	1024/675	1024/675	297/196	91/60
123	?	32/21	32/21	32/21
124	243/160	75/49	75/49	75/49
125	125/81	49/32	49/32	49/32
126	?	1575/1024	135/88	20/13
127	192/125	192/125	77/50	65/42
128	10240/6561	54/35	54/35	54/35
129	19683/12800	14/9	14/9	14/9
130	25/16	25/16	25/16	25/16
131	31250/19683	2401/1536	343/220	39/25
132	972/625	384/245	11/7	11/7
133	128/81	128/81	128/81	52/33
134	?	63/40	63/40	63/40
135	405/256	343/216	243/154	143/90
136	3125/1944	1225/768	35/22	35/22
137	19683/12500	1792/1125	550/343	125/78
138	8/5	8/5	8/5	8/5
139	32000/19683	45/28	45/28	45/28
140	6561/4096	175/108	121/75	121/75
141	625/384	625/384	125/77	21/13
142	?	512/315	44/27	13/8
143	81/50	80/49	80/49	80/49
144	400/243	49/30	49/30	49/30
145	?	105/64	18/11	18/11
146	1024/625	1024/625	490/297	104/63
147	32768/19683	288/175	33/20	33/20
148	6561/4000	81/49	81/49	81/49
149	5/3	5/3	5/3	5/3
150	?	375/224	375/224	108/65
151	5184/3125	1715/1024	121/72	117/70
152	2048/1215	576/343	165/98	91/54
153	?	42/25	42/25	42/25
154	27/16	27/16	27/16	22/13
155	1250/729	245/144	56/33	56/33
156	26244/15625	875/512	75/44	75/44
157	128/75	128/75	77/45	77/45
158	?	12/7	12/7	12/7
159	2187/1280	140/81	140/81	140/81
160	125/72	125/72	121/70	112/65
161	?	3125/1792	343/198	26/15
162	216/125	216/125	110/63	110/63
163	1280/729	243/140	243/140	243/140
164	?	7/4	7/4	7/4
165	225/128	225/128	135/77	135/77
166	15625/8748	1536/875	44/25	44/25
167	2187/1250	432/245	99/56	99/56
168	16/9	16/9	16/9	16/9
169	?	25/14	25/14	25/14
170	3645/2048	343/192	98/55	98/55
171	3125/1728	3072/1715	88/49	70/39
172	?	224/125	224/125	65/36
173	9/5	9/5	9/5	9/5
174	4000/2187	49/27	49/27	49/27
175	59049/32768	175/96	20/11	20/11
176	1875/1024	1875/1024	891/490	91/50
177	?	64/35	11/6	11/6
178	729/400	90/49	90/49	90/49
179	50/27	50/27	50/27	50/27
180	?	625/336	81/44	24/13
181	1152/625	1152/625	224/121	13/7
182	4096/2187	324/175	225/121	121/65
183	59049/32000	28/15	28/15	28/15
184	15/8	15/8	15/8	15/8
185	12500/6561	1225/648	560/297	234/125
186	5832/3125	2304/1225	66/35	49/26
187	256/135	256/135	154/81	91/48
188	?	40/21	40/21	40/21
189	243/128	243/128	243/128	99/52
190	625/324	245/128	21/11	21/11
191	59049/31250	3584/1875	660/343	25/13
192	48/25	48/25	48/25	48/25
193	12800/6561	27/14	27/14	27/14
194	19683/10240	35/18	35/18	35/18
195	125/64	125/64	125/64	125/64
196	78125/39366	1024/525	88/45	39/20
197	243/125	96/49	55/28	55/28
198	160/81	49/25	49/25	49/25
199	?	63/32	63/32	63/32
200	2025/1024	1715/864	196/99	143/72
201	15625/7776	1728/875	99/50	99/50
202	19683/10000	448/225	448/225	325/162
203	2/1	2/1	2/1	2/1