dB and loudness of sounds from distances

Daints
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I know that dB double in loudness every 3 but i remember seeing someone explain how loud something is at a certain distance, i understand its not linear, its logrithmic but can someone explain the whole equation for decibels at distances

 
Good websites to look at:

Sound Pressure Level

Sound Power Level

Decibel

Acoustics

Amplitude

Loudness

These are all Wikis, and therefore are not 100% verified accurate, but are for the most part true.

Ah finally found this... you'll like

The Psychoacoustic Loudness

Notice: Psycho acousticians tell us, that a 10 dB increase of level

give the impression of the doubling the loudness (volume).

Your loudspeakers need 10 times more power.

If you have 6 violins as source, then you have to ten times the violins;

you need 60 violins to double the psycho-acoustic loudness (volume).

Half loudness ≡ level: –10 dB Double loudness ≡ level: +10 dB

Half sound pressure ≡ level: –6 dB Double sound pressure ≡ level: +6 dB

Half power ≡ level: –3 dB Double power: ≡ level +3 dB

four times power ≡ level: +6 dB Ten times power ≡ level: +10 dB

Double distance ≡ level: –6 dB Double sources (Double power) ≡ +3 dB

 
Source

Subjectively perceived loudness (volume),

objectively measured sound pressure (voltage), and

theoretically calculated sound intensity (acoustic power)

Level

Change Volume

Loudness Voltage

Sound pressure Acoustic Power

Sound Intensity

+40 dB 16 100 10000

+30 dB 8 31.6 1000

+20 dB 4 10 100

+10 dB 2.0 = double 3.16 = √10 10

+6 dB 1.52 times 2.0 = double 4.0

+3 dB 1.23 times 1.414 times = √2 2.0 = double

- - - - ±0 dB - - - - - - - - 1.0 - - - - - - - - - - - 1.0 - - - - - - - - - - - - 1.0 - - - - -

−3 dB 0.816 times 0.707 times 0.5 = half

−6 dB 0.660 times 0.5 = half 0.25

−10 dB 0.5 = half 0.316 0.1

−20 dB 0.25 0.100 0.01

−30 dB 0.125 0.0316 0.001

−40 dB 0.0625 0.0100 0.0001

Log. quantity Psycho quantity Field quantity Energy quantity

dB change Loudness multipl. Amplitude multiplier Power multiplier

 
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Daints

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