The range of sound pressure levels or the dynamic range of human hearing encompasses a factor of 10,000,000. This enormous range of values is difficult to handle and additionally does not represent the subjective perception of sound, since human hearing tends to use a logarithmic curve. When an increase in loudness by the factor two is perceived as one step, four times the loudness level equals two steps. So, the decibel is a unit of measurement that describes a level in relation to a reference quantity. To make clear which reference quantity is meant, the abbreviation SPL (sound pressure level) is sometimes used together with dB. Starting with a value of 0 dB SPL (= 2*10-5Pa) for the threshold of audibility, any dB values can be calculated by means of the following formula:

L= 20 log p 2 p 1

L = e.g. the absolute sound pressure level in dB SPL p1 = e.g. a reference sound pressure of 0.00002 Pa

p2 = the sound pressure (in Pa) produced by the sound source to be calculated log = decimal logarithm.

Sound-Pressure Level (dB SPL)

160 Jet Engine

140

Threshold Of Pain

120 Power Drill

100 Machinery Hall

80 "Loud" Office

60 Normal Conversation

40 Quiet Apartment

Recording Studio

20

Falling Leaves

0 Threshold Of Audibility

Fig. 4.1: Dynamic range of human hearing

As can be seen, human hearing has a very wide dynamic range of about 130 dB, which surpasses the range of a DAT or CD player with an approximate range of 96 dB. From a physical point of view, a 3 dB boost corresponds to an increase in power by the factor 2. However, the human ear perceives a signal to be twice as loud as before only if it is boosted by about 10 dB. This will give you an idea of the range of boost or attenuation that can be realized with the 24 filters of the FEEDBACK DESTROYER PRO. For each filter, you can apply a boost of +16 dB or a cut of -48 dB, i.e. you can boost the selected frequency by the subjectively perceived factor 3 (physically 40) or attenuate it by the factor 27 (physically 60,000)!

The sound which an EQ produces not only depends on the selected frequency and the amount of gain (ex- pressed in dB); the bandwidth of the filters also plays an important role. Here, we generally use the so-called absolute bandwidth of a filter, which is measured from the lower to the upper cutoff frequency. Starting from there, you can divide the absolute bandwidth by the filter’s center frequency to calculate the relative bandwidth. The quality factor (Q) is simply the reciprocal value of the relative bandwidth.

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4. TECHNICAL BACKGROUND

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Behringer DSP1100P user manual Dynamic range of human hearing