Themis! O Themis!!
http://en.wikipedia.org/wiki/Decibel
I round terms 3dB represents a doubling in volume and -3dB a halving.
1dB is about the smallest increment the human ear can discern.
The logarithmic nature of the decibel more or less reflects the performance of the ear's perception.
Some surprising conclusions follow.
Think of valve days - if you are old enough. A single ended valve power amp would give 3w. The smallest push-pull amps managed 10w which was twice as loud (potentially). To double the loudness again you would need to go to 100w, and very few valve amps did, the jump was from 10w to 20, 25 or 30w - given the logarithmic nature of loudness this was only a marginal advantage.
And more. I said "The logarithmic nature of the decibel more or less reflects the performance of the ear's perception." More or less, because the ear is not a linear tranducer
http://en.wikipedia.org/wiki/Fletche...3Munson_curves
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0.8 dB ? I haven't checked the maths!