95ed4

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95ed4

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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

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.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	25.263
2	50.526
3	75.789	23/22
4	101.053	18/17, 35/33
5	126.316	14/13
6	151.579
7	176.842	41/37
8	202.105
9	227.368
10	252.632	22/19
11	277.895	34/29
12	303.158	25/21
13	328.421	23/19
14	353.684
15	378.947
16	404.211	43/34
17	429.474
18	454.737	13/10
19	480	29/22, 33/25
20	505.263
21	530.526	19/14
22	555.789
23	581.053	7/5
24	606.316
25	631.579
26	656.842	19/13
27	682.105	43/29
28	707.368
29	732.632	29/19
30	757.895
31	783.158	11/7
32	808.421
33	833.684
34	858.947	23/14, 41/25
35	884.211	5/3
36	909.474	22/13
37	934.737
38	960
39	985.263	23/13, 30/17
40	1010.526
41	1035.789
42	1061.053
43	1086.316
44	1111.579	19/10
45	1136.842
46	1162.105	43/22
47	1187.368
48	1212.632
49	1237.895
50	1263.158	29/14
51	1288.421
52	1313.684
53	1338.947	13/6
54	1364.211	11/5
55	1389.474	29/13
56	1414.737	43/19
57	1440	23/10, 39/17
58	1465.263	7/3
59	1490.526
60	1515.789
61	1541.053
62	1566.316	42/17
63	1591.579
64	1616.842
65	1642.105
66	1667.368
67	1692.632
68	1717.895
69	1743.158	41/15
70	1768.421	25/9
71	1793.684	31/11
72	1818.947
73	1844.211	29/10
74	1869.474
75	1894.737
76	1920
77	1945.263	43/14
78	1970.526
79	1995.789	19/6
80	2021.053
81	2046.316
82	2071.579	43/13
83	2096.842
84	2122.105
85	2147.368
86	2172.632
87	2197.895
88	2223.158
89	2248.421	11/3
90	2273.684
91	2298.947
92	2324.211	23/6
93	2349.474	35/9
94	2374.737
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)