49edt

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← 48edt 49edt 50edt →
Prime factorization 72
Step size 38.8154¢ 
Octave 31\49edt (1203.28¢)
Consistency limit 11
Distinct consistency limit 8

Division of the third harmonic into 49 equal parts (49EDT) is related to 31 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the 12-integer limit.

Lookalikes: 18edf, 31edo, 39cET, 80ed6

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 38.8
2 77.6 22/21, 23/22, 24/23
3 116.4 15/14, 16/15, 31/29
4 155.3 12/11, 23/21
5 194.1 19/17, 28/25, 29/26
6 232.9 8/7
7 271.7 7/6
8 310.5 6/5
9 349.3 11/9, 27/22
10 388.2 5/4
11 427 23/18, 32/25
12 465.8 17/13, 21/16
13 504.6
14 543.4 26/19
15 582.2 7/5
16 621 10/7
17 659.9 19/13, 22/15
18 698.7 3/2
19 737.5 23/15, 26/17, 29/19
20 776.3 25/16
21 815.1 8/5
22 853.9 18/11, 23/14
23 892.8
24 931.6 12/7
25 970.4 7/4
26 1009.2 25/14
27 1048 11/6
28 1086.8 15/8
29 1125.6 23/12
30 1164.5
31 1203.3 2/1
32 1242.1
33 1280.9 21/10, 23/11
34 1319.7 15/7
35 1358.5
36 1397.4
37 1436.2 16/7
38 1475
39 1513.8 12/5
40 1552.6 22/9, 27/11
41 1591.4 5/2
42 1630.2 18/7
43 1669.1 21/8
44 1707.9
45 1746.7 11/4
46 1785.5 14/5
47 1824.3 23/8
48 1863.1
49 1902 3/1

Harmonics

Approximation of harmonics in 49edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +3.3 +0.0 +6.6 +8.4 +3.3 +8.1 +9.8 +0.0 +11.7 +1.9 +6.6
Relative (%) +8.4 +0.0 +16.9 +21.6 +8.4 +20.9 +25.3 +0.0 +30.1 +5.0 +16.9
Steps
(reduced)
31
(31)
49
(0)
62
(13)
72
(23)
80
(31)
87
(38)
93
(44)
98
(0)
103
(5)
107
(9)
111
(13)
Approximation of harmonics in 49edt
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -15.6 +11.4 +8.4 +13.1 -14.2 +3.3 -12.7 +15.0 +8.1 +5.2 +5.9
Relative (%) -40.1 +29.3 +21.6 +33.8 -36.6 +8.4 -32.7 +38.5 +20.9 +13.4 +15.2
Steps
(reduced)
114
(16)
118
(20)
121
(23)
124
(26)
126
(28)
129
(31)
131
(33)
134
(36)
136
(38)
138
(40)
140
(42)


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