About Decibels (dB)
I think I see what you are driving at and this article explained it so even I, (dense as I am) can understand it. My problem was equating an increase in power as a direct relationship with "loudness."
When talking about power:
3dB represents a ratio of two to one or a doubling of power.
Thus, a gain of 10dB would represent a ratio of ten to one for power
- so 10 dB is 10 times the power
A 40dB power gain would be 10,000 times the power.
However when talking about Loudness:
A 10 Db gain would seem to be about twice as loud
And a 20 Db gain would seem to be about 4 times as loud.
And a 40 Db gain would seem to be about 16 times as loud
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