DeciBell Calculations

 

Arno van Goch wrote:

I'm trying to do additive synthesis based on data I acquired using spectrum analysis on a sample. I've got for example the following data:

231Hz at -65dB

408Hz at -50dB

624Hz at -27dB

624Hz being the loudest frequency. If I run these frequencies through a 3-input mixer, setting the 624Hz knob to the maximum, is there a way to calculate the exact position of the other two knobs?

Chet Singer wrote:

Here is a list I've made of the attenuation curve for the logarithmic knobs. This was done by measuring the levels every 6db, and then performing a piecewise-linear approximation between them. It could be more precise, but it's been good enough for me. Hope this helps.

Level Decibels subtracted

127

-0

95

-9.88235

63

-24

31

-46.2857

126

-0.285714

94

-10.2353

62

-24.6

30

-47.1429

125

-0.571429

93

-10.5882

61

-25.2

29

-48

124

-0.857143

92

-10.9412

60

-25.8

28

-48.8571

123

-1.14286

91

-11.2941

59

-26.4

27

-49.7143

122

-1.42857

90

-11.6471

58

-27

26

-50.5714

121

-1.71429

89

-12

57

-27.6

26

-51.4286

120

-2

88

-12.4286

56

-28.2

24

-52.2857

119

-2.28571

87

-12.8571

55

-28.8

23

-53.1429

118

-2.57143

86

-13.2857

54

-29.4

22

-54

117

-2.85714

85

-13.7143

53

-30

21

-55

116

-3.14286

84

-14.1429

52

-30.6667

20

-56

115

-3.42857

83

-14.5714

51

-31.3333

19

-57

114

-3.71429

82

-15

50

-32

18

-58

113

-4

81

-15.4286

49

-32.6667

17

-59

112

-4.28571

80

-15.8571

48

-33.3333

16

-60

111

-4.57143

79

-16.2857

47

-34

15

-61

110

-4.85714

78

-16.7143

46

-34.6667

14

-62

109

-5.14286

77

-17.1429

45

-35.3333

13

-63

108

-5.42857

76

-17.5714

44

-36

12

-64

107

-5.71429

75

-18

43

-36.75

11

-65

106

-6

74

-18.5

42

-37.5

10

-66

105

-6.35294

73

-19

41

-38.25

9

-67.2

104

-6.70588

72

-19.5

40

-39

8

-68.4

103

-7.05882

71

-20

39

-39.75

7

-69.6

102

-7.41176

70

20.5

38

-40.5

6

-70.8

101

-7.76471

69

-21

37

-41.25

5

-72

100

-8.11765

68

-21.5

36

-42

4

0

99

-8.47059

67

-22

35

-42.8571

3

0

98

-8.82353

66

-22.5

34

-43.7143

2

0

97

-9.17647

65

-23

33

-44.5714

1

0

96

-9.52941

64

-23.5

32

-45.4286

0

0