S7horton is correct:)! 6db (spl) *is* "twice". Elevick: You show this yourself quite explicitly, above: As change in spl relates to w change^2, 2x as loud requires 2^2=4x watts. Every 6 db you clearly show x4 watts. Cheers!
Newbee: the difference lies in what you're measuring. If it's sound PRESSURE, 6db means "double" {20log10(p1/p2)=db}. When it comes to watts, 3db difference means double (or half, as it were). Minimum "perceptible" diference in spl has been said to be 3db; if forewarned, I can detect smaller changes in spl, so can most of us.
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