I'm not Walter, and I don't play him on TV, but here's audio vs. linear taper curves:
Link Removed
Yes, I think most of us who are still posting on this know that already. The curves above neglect two things though: 1) the non-linear response of the human auditory system, 2) when the volume pot is loaded down by the pickup resistance, tone control resistance, amplifier input resistance, etc, the results change and they change considerably in a VVT arrangement where the pots are typically used backwards of the normal arrangement.
So, picture your curves above but add a second dotted line just like the one you have but bowed up instead of down. With all the factors above considered (except that audio pots are bilinear instead of true audio tapers) the bottom dotted line is roughly how an audio taper pot responds in a VT single pickup bass and the top dotted line is how a linear taper pot responds in the same bass. The solid line is, in theory, how we would like the pots to respond. Neither one is ideal, both are close enough to please at least some people. A linear pot responds too quickly at low volumes and too slowly at high volumes. The common 10% bilnear "audio taper" pot responds too slowly at low volumes and too quickly at high volumes. A 30% bilinear taper pot is a little hard to find though they exist and gives a response that is reasonably close to the ideal line throughout its range. Some claim that years ago "guitars" (basses too?) used 30% bilnear pots.
If you want to consider a VVT setup then nothing works "right". The ultimate response of the perceived loudness to pot position is determined much more by the loads on the pots than by the tapers of the pots.
All pot tapers follow the same curve in a VVT setup with only minor variation from taper to taper to taper. It is
impossible to get a linear response in a VVT setup because the pot taper required to do that changes with every one of the infinite possible settings of the other V pot, and the tone pot, and the note you are currently playing on your bass. The pot tapers required are also very bizarre and totally unavailable on the market. Eh, for all that VVT basses work just fine, don't they, which is an indication that as fun as it is to talk about this the ear just isn't that picky about it.
Now Walter will only consider the results of actual experiments.
I have not tried them but I have found the comments of others that say they tried linear pots and found them to have exactly the response that theory predicts. Actually guitarists who like linear pots are as common as bassists, contrary to what Walter maintains. The truth is that there are plenty of guitarists and bassists who prefer audio pots and plenty of both who prefer linear pots. Theory, my friends, is completely adequate to predict what is going to happen with a particular pot taper, it is totally inadequate to predict what you personally like.
So I say it again, for a person like myself who is perfectly happy with his audio taper pots, there is neither need nor benefit to tearing his bass apart and putting in linears just to satisfy Walter. I can see from theory what a linear taper pot will do, I just see no need to go there. Guys, I typically set my volume pot once per session and often once every few sessions. I would not get any benefit from a linear taper even if I hated the response I get from an audio taper.
From the brief internet survey I have now done it appears that most guitarists who love linear tapers also love to do "volume swells" and it is perfectly plain, from theory, why a linear pot would be ideal for that purpose. An audio taper would be the worst.
Finally I had a sad realization this morning. I sincerely hope that for most of you who prefer linear tapers that your preference is simply that, a preference, and not a result of what I am going to say next. People who have had hearing damage from operating jackhammers or playing their bass guitars in loud bands, to name but two, have hearing that responds much like a normal persons at middle to high volumes. At low volumes their hearing starts to depart from the norm and at a volume well above where a normal person still hears well they hear nothing. So a linear volume pot which increases very quickly at low volumes is going to seem quite linear to a hearing impaired person. I hate to think that any of you have that problem but I know that not everyone is careful of their hearing.
Ken