From Jim's link:
Definitions:
*Sound level or noise level is a physical quantity measured with measuring instruments.
*Loudness is a psycho-physical sensation perceived by the human auditory perception or the human ear/brain mechanism. That is not the same.
*We are told by psycho-acousticians that a level 10 dB greater usually means "double the loudness" or "twice as loud".
Doubling the sound is a vague term. True, +6dB is the SPL doubled, but we donlt hear it that way. Try it someday. Get two identical rigs. Run the first one, and get out in front and listen. Have your guy turn on the second one. The bass guitar will sound louder, but not a whole hell of a lot louder, certainly not twice as loud. (And I'm ignoring acoustical interference of sound waves caused side by side cabs and other issues that make comparisons extremely challenging.)
Do you men twice as loud? It is generally agreed upon that human perception of twice as loud means +10dB of SPL, but again, there are caveats as mentioned earlier.
And how do you get 10dB more SPL? Lots of ways to do that, but merely doubling your watts and doubling your drivers does not.
Twice as loud, twice the volume, double the sound, etc., are all terms that we should really stay away from. They are too vague and subject to misinterpretation and confusion. All that matters and all that is measurable is SPL. It is the industry standard.
And with proper software, you can measure SPL across the frequency spectrum. I have a $40 calibration mic and freeware for my laptop to do that. Even smart phone apps are showing promise.