What's the difference between linear and audio tapers, and why should I care?

Some rotary Pot's com in Linear, Audio and reverse Audio (where audio=log taper)

Actually it is "quasi"-log scale and not precision logarithm.

Notice it has a rapid transition from two different linear slopes. which gives you more sensitivity over a wider range of audio inputs rather than an apparent Off to ON effect if using a linear pot. If one adjusts audio equipment over a 30 dB range, that might occur in the 1st 5% of a Linear pot.

Such as

Many options may be selected when you order.

Precision Log pots would be mcuch more expensive than

Very simply, with a linear taper, if you turn the pot halfway, the resistance measured on each side will be equal. With logarithmic (aka "audio") taper, that is not true; the resistance follows a logarithmic progression.

Log taper is used because it gives a more natural progression when used for volume control.

The difference between audio & taper is if you want to use a pot that is linear taper it is to provide an adjustment for a device or a feed to a device. An audio taper is a volume control or bass or treble control etc. In a fender amp the control that feeds the adjustment for the balance is linear taper since it adjusts the resistance between the screen grids. The idea that you could use two controls is a good idea and I would recommend this process. Just remember if you do any mods check your work carefully and test your voltages to make sure everything is ok