195edo

Welcome to 195edo

195edo = 13edo × 15edo

Distinctively interesting choice for an edo, due to its divisibility by both 13 and 15. This means it can be used to play 13edo music and 15edo music at the same time, using the 195/15 and 195/13 vals respectively.

6.154

195edo has a step size of 6.1538461538462 cents. It is a commatonal EDO, because the step size represents commas like 126/125.

Selected just intervals by error

The following table shows how some prominent just intervals are represented in 195edo (ordered by absolute error).

Interval, complement	Error (abs., in cents)
13/11, 22/13	0.021
4/3, 3/2	0.417
9/8, 16/9	0.833
16/15, 15/8	0.962
11/10, 20/11	1.15
13/10, 20/13	1.171
5/4, 8/5	1.379
15/11, 22/15	1.566
15/13, 26/15	1.587
6/5, 5/3	1.795
9/7, 14/9	1.839
10/9, 9/5	2.212
7/6, 12/7	2.256
11/8, 16/11	2.528
16/13, 13/8	2.549
8/7, 7/4	2.672
12/11, 11/6	2.945
13/12, 24/13	2.966
11/9, 18/11	3.361
18/13, 13/9	3.382
15/14, 28/15	3.634
7/5, 10/7	4.051
14/11, 11/7	5.2
14/13, 13/7	5.221

Table of 195edo intervals

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	?	126/125	126/125	126/125
2	?	225/224	176/175	105/104
3	81/80	81/80	81/80	81/80
4	?	875/864	56/55	56/55
5	?	49/48	49/48	49/48
6	128/125	128/125	45/44	45/44
7	?	50/49	50/49	40/39
8	?	36/35	36/35	36/35
9	250/243	250/243	33/32	33/32
10	?	28/27	28/27	27/26
11	?	392/375	80/77	26/25
12	25/24	25/24	25/24	25/24
13	?	21/20	21/20	21/20
14	?	1323/1250	22/21	22/21
15	135/128	135/128	128/121	96/91
16	?	1296/1225	35/33	35/33
17	?	200/189	200/189	117/110
18	16/15	16/15	16/15	16/15
19	?	625/588	77/72	77/72
20	?	15/14	15/14	14/13
21	27/25	27/25	27/25	27/25
22	?	175/162	175/162	175/162
23	?	49/45	49/45	13/12
24	625/576	625/576	12/11	12/11
25	?	35/32	35/32	35/32
26	?	192/175	192/175	192/175
27	800/729	375/343	11/10	11/10
28	?	54/49	54/49	54/49
29	?	625/567	49/44	49/44
30	10/9	10/9	10/9	10/9
31	?	28/25	28/25	28/25
32	?	125/112	125/112	125/112
33	9/8	9/8	9/8	9/8
34	?	567/500	55/49	44/39
35	?	245/216	198/175	192/169
36	256/225	256/225	25/22	25/22
37	?	500/441	63/55	63/55
38	?	8/7	8/7	8/7
39	144/125	144/125	55/48	55/48
40	?	225/196	140/121	15/13
41	?	81/70	81/70	52/45
42	125/108	125/108	64/55	64/55
43	?	7/6	7/6	7/6
44	?	147/125	90/77	90/77
45	75/64	75/64	75/64	75/64
46	?	189/160	189/160	169/144
47	?	2000/1701	33/28	13/11
48	32/27	32/27	32/27	32/27
49	?	448/375	105/88	105/88
50	?	25/21	25/21	25/21
51	6/5	6/5	6/5	6/5
52	?	756/625	77/64	77/64
53	?	98/81	98/81	63/52
54	243/200	243/200	40/33	40/33
55	?	175/144	175/144	175/144
56	?	49/40	49/40	39/32
57	625/512	625/512	11/9	11/9
58	?	60/49	60/49	16/13
59	?	216/175	216/175	216/175
60	100/81	100/81	99/80	99/80
61	?	56/45	56/45	26/21
62	?	625/504	96/77	96/77
63	5/4	5/4	5/4	5/4
64	?	63/50	63/50	63/50
65	?	1125/896	44/35	44/35
66	81/64	81/64	81/64	81/64
67	?	2401/1875	14/11	14/11
68	?	80/63	80/63	80/63
69	32/25	32/25	32/25	32/25
70	?	125/98	77/60	50/39
71	?	9/7	9/7	9/7
72	162/125	162/125	128/99	128/99
73	?	35/27	35/27	35/27
74	?	98/75	98/75	13/10
75	125/96	125/96	72/55	72/55
76	?	21/16	21/16	21/16
77	?	1152/875	55/42	55/42
78	320/243	320/243	33/25	33/25
79	?	324/245	175/132	169/128
80	?	250/189	147/110	117/88
81	4/3	4/3	4/3	4/3
82	?	168/125	168/125	168/125
83	?	75/56	75/56	35/26
84	27/20	27/20	27/20	27/20
85	?	875/648	66/49	66/49
86	?	49/36	49/36	49/36
87	512/375	343/250	15/11	15/11
88	?	175/128	175/128	143/105
89	?	48/35	48/35	48/35
90	864/625	864/625	11/8	11/8
91	?	112/81	112/81	18/13
92	?	243/175	242/175	104/75
93	25/18	25/18	25/18	25/18
94	?	7/5	7/5	7/5
95	?	625/448	88/63	88/63
96	45/32	45/32	45/32	45/32
97	?	567/400	140/99	55/39
98	?	800/567	99/70	78/55
99	64/45	64/45	64/45	64/45
100	?	625/441	63/44	63/44
101	?	10/7	10/7	10/7
102	36/25	36/25	36/25	36/25
103	?	350/243	175/121	75/52
104	?	81/56	81/56	13/9
105	625/432	625/432	16/11	16/11
106	?	35/24	35/24	35/24
107	?	147/100	147/100	117/80
108	375/256	375/256	22/15	22/15
109	?	72/49	72/49	72/49
110	?	1296/875	49/33	49/33
111	40/27	40/27	40/27	40/27
112	?	112/75	112/75	52/35
113	?	125/84	125/84	125/84
114	3/2	3/2	3/2	3/2
115	?	189/125	189/125	176/117
116	?	245/162	245/162	245/162
117	243/160	243/160	50/33	50/33
118	?	875/576	84/55	84/55
119	?	32/21	32/21	32/21
120	192/125	192/125	55/36	55/36
121	?	75/49	75/49	20/13
122	?	54/35	54/35	54/35
123	125/81	125/81	99/64	99/64
124	?	14/9	14/9	14/9
125	?	196/125	120/77	39/25
126	25/16	25/16	25/16	25/16
127	?	63/40	63/40	63/40
128	?	3750/2401	11/7	11/7
129	128/81	128/81	128/81	128/81
130	?	1792/1125	35/22	35/22
131	?	100/63	100/63	100/63
132	8/5	8/5	8/5	8/5
133	?	625/392	77/48	77/48
134	?	45/28	45/28	21/13
135	81/50	81/50	81/50	81/50
136	?	175/108	175/108	175/108
137	?	49/30	49/30	13/8
138	625/384	625/384	18/11	18/11
139	?	80/49	80/49	64/39
140	?	288/175	275/168	275/168
141	400/243	400/243	33/20	33/20
142	?	81/49	81/49	81/49
143	?	625/378	128/77	128/77
144	5/3	5/3	5/3	5/3
145	?	42/25	42/25	42/25
146	?	375/224	176/105	175/104
147	27/16	27/16	27/16	27/16< br>|-	148	?	1701/1000	56/33	22/13
149	?	245/144	245/144	245/144
150	128/75	128/75	75/44	75/44
151	?	250/147	77/45	77/45
152	?	12/7	12/7	12/7
153	216/125	216/125	55/32	55/32
154	?	140/81	140/81	45/26
155	?	243/140	121/70	26/15
156	125/72	125/72	96/55	96/55
157	?	7/4	7/4	7/4
158	?	441/250	110/63	110/63
159	225/128	225/128	44/25	44/25
160	?	432/245	175/99	169/96
161	?	1000/567	98/55	39/22
162	16/9	16/9	16/9	16/9
163	?	224/125	224/125	224/125
164	?	25/14	25/14	25/14
165	9/5	9/5	9/5	9/5
166	?	875/486	88/49	88/49
167	?	49/27	49/27	49/27
168	729/400	686/375	20/11	20/11
169	?	175/96	175/96	175/96
170	?	64/35	64/35	64/35
171	1152/625	625/343	11/6	11/6
172	?	90/49	90/49	24/13
173	?	324/175	245/132	245/132
174	50/27	50/27	50/27	50/27
175	?	28/15	28/15	13/7
176	?	625/336	144/77	144/77
177	15/8	15/8	15/8	15/8
178	?	189/100	189/100	169/90
179	?	1225/648	66/35	66/35
180	243/128	243/128	121/64	91/48
181	?	2401/1250	21/11	21/11
182	?	40/21	40/21	40/21
183	48/25	48/25	48/25	48/25
184	?	375/196	77/40	25/13
185	?	27/14	27/14	27/14
186	243/125	243/125	64/33	64/33
187	?	35/18	35/18	35/18
188	?	49/25	49/25	39/20
189	125/64	125/64	88/45	88/45
190	?	63/32	63/32	63/32
191	?	1728/875	55/28	55/28
192	160/81	160/81	99/50	99/50
193	?	448/225	175/88	175/88
194	?	125/63	125/63	125/63
195	2/1	2/1	2/1	2/1