95ed4

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95 equal divisions of the 4th harmonic (abbreviated 95ed4) is a nonoctave tuning system that divides the interval of 4/1 into 95 equal parts of about 25.3 ¢ each. Each step represents a frequency ratio of 4^1/95, or the 95th root of 4.

← 93ed4

95ed4

97ed4 →

Prime factorization	5 × 19
Step size	25.2632 ¢
Octave	48\95ed4 (1212.63 ¢)
Twelfth	75\95ed4 (1894.74 ¢) (→ 15\19ed4)
Consistency limit	1
Distinct consistency limit	1

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	25.3
2	50.5
3	75.8	23/22
4	101.1	18/17, 35/33
5	126.3	14/13
6	151.6
7	176.8	41/37
8	202.1
9	227.4
10	252.6	22/19
11	277.9	34/29
12	303.2	25/21
13	328.4	23/19
14	353.7
15	378.9
16	404.2	43/34
17	429.5
18	454.7	13/10
19	480	29/22, 33/25
20	505.3
21	530.5	19/14
22	555.8
23	581.1	7/5
24	606.3
25	631.6
26	656.8	19/13
27	682.1	43/29
28	707.4
29	732.6	29/19
30	757.9
31	783.2	11/7
32	808.4
33	833.7
34	858.9	23/14, 41/25
35	884.2	5/3
36	909.5	22/13
37	934.7
38	960
39	985.3	23/13, 30/17
40	1010.5
41	1035.8
42	1061.1
43	1086.3
44	1111.6	19/10
45	1136.8
46	1162.1	43/22
47	1187.4
48	1212.6
49	1237.9
50	1263.2	29/14
51	1288.4
52	1313.7
53	1338.9	13/6
54	1364.2	11/5
55	1389.5	29/13
56	1414.7	43/19
57	1440	23/10, 39/17
58	1465.3	7/3
59	1490.5
60	1515.8
61	1541.1
62	1566.3	42/17
63	1591.6
64	1616.8
65	1642.1
66	1667.4
67	1692.6
68	1717.9
69	1743.2	41/15
70	1768.4	25/9
71	1793.7	31/11
72	1818.9
73	1844.2	29/10
74	1869.5
75	1894.7
76	1920
77	1945.3	43/14
78	1970.5
79	1995.8	19/6
80	2021.1
81	2046.3
82	2071.6	43/13
83	2096.8
84	2122.1
85	2147.4
86	2172.6
87	2197.9
88	2223.2
89	2248.4	11/3
90	2273.7
91	2298.9
92	2324.2	23/6
93	2349.5	35/9
94	2374.7
95	2400

Harmonics

Approximation of harmonics in 95ed4

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+12.6	-7.2	+0.0	-7.4	+5.4	-8.8	+12.6	+10.8	+5.3	-8.2	-7.2
	Relative (%)	+50.0	-28.6	+0.0	-29.2	+21.4	-34.9	+50.0	+42.9	+20.8	-32.3	-28.6
Steps (reduced)		48 (48)	75 (75)	95 (0)	110 (15)	123 (28)	133 (38)	143 (48)	151 (56)	158 (63)	164 (69)	170 (75)

Approximation of harmonics in 95ed4

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+5.8	+3.8	+10.7	+0.0	-3.9	-1.8	+5.6	-7.4	+9.2	+4.5	+3.3
	Relative (%)	+22.9	+15.1	+42.3	+0.0	-15.4	-7.1	+22.3	-29.2	+36.5	+17.7	+13.1
Steps (reduced)		176 (81)	181 (86)	186 (91)	190 (0)	194 (4)	198 (8)	202 (12)	205 (15)	209 (19)	212 (22)	215 (25)