IN CORNCLUSION:::
LINEAR: Even Taper of audio change all the way through pot rotation
AUDIO/LOG: Varied Taper of audio change with the largest increase at the beginning of pot rotation and less change at the end.
Now the question still remains, which one is best for guitar volume swells?
Incorrect.
Linear taper gives an even change of
resistance through the rotation of the pot.
Audio taper gives varies the rate of change of
resistance (well, in the case of audio, it's really impedance, but lets not complicate things), so you get the largest change of
resistance at the beginning of the rotation.
A couple terms should be addressed. Volume has nothing to do with electronics. There is no such thing as a volume control. Volume, in this context, is a strictly acoustic property that has to do with changing pressure in a medium (usually air, though it could be in water). The "volume" control on your guitar/amp/effects is, in fact, a
voltage control. Now, varying the voltage of your guitar's output will, when it is turned into sound, vary it's volume, but you can not directly control volume electronically.
But humans don't hear sound in a linear fashion. Our ears sort of "compress" sound. Evolution wise, this means that we can hear quiet things without blowing out our ears when we hear things which are really loud, which is good. So, as has been pointed out, in electronics we need 10X the power to get double the perceived volume. Double the volume of 1 watt is 10 watts, and double the volume of ten watts is 100 watts. Similarly, if you want double the volume of one trombone player (for instance), you'll need 10 trombone players. Audio taper pots attempt (and mostly succeed) to adjust things so that when you have 50% rotation you will have a 50% reduction in volume.
As to which is
better, well, I reject the concept. This is something where there is no better, only personal preference. That being said, the VAST majority of people who notice the difference will prefer an audio taper pot, as it will give an even change in
volume, which requires a logarithmic change in
voltage and/or
power. Now, if you are doing quick volume swells, you might like a linear taper pot, as it would allow you to only turn the pot down part way to get a near zero volume, and then a quicker swell as you turn it up. It would drive me bat-s#*t crazy; but as my father would say, it's not a long trip.
Gabriel