95ed7/3

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← 94ed7/3 95ed7/3 96ed7/3 →
Prime factorization 5 × 19
Step size 15.4407¢ 
Octave 78\95ed7/3 (1204.38¢)
Twelfth 123\95ed7/3 (1899.21¢)
Consistency limit 3
Distinct consistency limit 3

95 equal divisions of 7/3 (abbreviated 95ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 95 equal parts of about 15.4⁠ ⁠¢ each. Each step represents a frequency ratio of (7/3)1/95, or the 95th root of 7/3.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 15.4
2 30.9
3 46.3 37/36, 38/37, 39/38, 40/39
4 61.8 29/28
5 77.2 23/22
6 92.6 19/18, 39/37
7 108.1 33/31
8 123.5 43/40
9 139 13/12
10 154.4
11 169.8 43/39
12 185.3
13 200.7
14 216.2 43/38
15 231.6
16 247.1
17 262.5 43/37
18 277.9 34/29
19 293.4
20 308.8 37/31, 43/36
21 324.3
22 339.7 28/23
23 355.1
24 370.6
25 386
26 401.5 29/23
27 416.9 14/11
28 432.3
29 447.8 22/17, 35/27
30 463.2 17/13
31 478.7 29/22
32 494.1
33 509.5
34 525 23/17, 42/31
35 540.4 41/30
36 555.9 40/29
37 571.3 39/28
38 586.7
39 602.2 17/12
40 617.6 10/7
41 633.1
42 648.5
43 664
44 679.4 43/29
45 694.8
46 710.3
47 725.7 41/27
48 741.2 43/28
49 756.6 31/20
50 772
51 787.5
52 802.9
53 818.4
54 833.8
55 849.2 31/19
56 864.7 28/17, 33/20
57 880.1
58 895.6
59 911 22/13
60 926.4 29/17
61 941.9 31/18
62 957.3 33/19, 40/23
63 972.8
64 988.2 23/13
65 1003.6
66 1019.1 9/5
67 1034.5 20/11
68 1050 11/6
69 1065.4 37/20
70 1080.9 43/23
71 1096.3
72 1111.7 19/10
73 1127.2 23/12
74 1142.6
75 1158.1 39/20, 41/21, 43/22
76 1173.5
77 1188.9
78 1204.4
79 1219.8
80 1235.3
81 1250.7
82 1266.1
83 1281.6
84 1297 36/17
85 1312.5
86 1327.9 28/13
87 1343.3
88 1358.8
89 1374.2 31/14, 42/19
90 1389.7 29/13
91 1405.1
92 1420.5
93 1436 39/17
94 1451.4
95 1466.9 7/3

Harmonics

Approximation of harmonics in 95ed7/3
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +4.38 -2.74 -6.68 -6.98 +1.64 -2.74 -2.31 -5.49 -2.60 +2.24 +6.01
Relative (%) +28.4 -17.8 -43.3 -45.2 +10.6 -17.8 -14.9 -35.5 -16.8 +14.5 +38.9
Steps
(reduced)
78
(78)
123
(28)
155
(60)
180
(85)
201
(11)
218
(28)
233
(43)
246
(56)
258
(68)
269
(79)
279
(89)
Approximation of harmonics in 95ed7/3
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +6.41 +1.64 +5.72 +2.07 +5.20 -1.11 -2.07 +1.78 -5.49 +6.62 +6.87
Relative (%) +41.5 +10.6 +37.0 +13.4 +33.7 -7.2 -13.4 +11.5 -35.5 +42.9 +44.5
Steps
(reduced)
288
(3)
296
(11)
304
(19)
311
(26)
318
(33)
324
(39)
330
(45)
336
(51)
341
(56)
347
(62)
352
(67)