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I think the .047uF are a perfect fit for both P and J basses. I agree the .1uF caps just turn your signal into a muddy rumble--if you roll them back too much.
Based on a couple above comments.
In my understanding Treble is what is rolled off, not Mids. And it's always reduction, not boost.

It depends on the cut off frequency of the tone control. The larger the value of the cap, the lower the corner frequency that bleeds to ground.
If a .1 cap rolls off low enough, it will also roll off the upper midrange, Actually a .02 rolls off just the treble, and leaves the mids. A .047 takes most of the mids out, except for the low mids (around 600Hz). I have a .03 cap in one of my basses and that rolls off at a higher frequency and leaves more mids.
The boost occurs when the tone control is all the way off. That forms a resonant LC network with the pickup, and does indeed provide a small boost. The higher the impedance of the pickup, the greater the effect of the tone control. That's why active EMG's use .1 caps and the tone controls don't have as dramatic an effect.
The Fender Greasebucket tone control was developed to roll the treble off and not boost the bass.
A cool idea is to have a push/pull tone pot that selects from two different caps.
interesting thread,
but all these cap values are a bit confusing to all us non-cap nerds
is there a conversion chart somewhere that would show is the difference ( & better yet, the similarities ) in values ?
ie;
.5 uf = .047uf ( i think )
.02 = ? would that be the same as a .022 ?
.03 = ?
when i see caps for sale i see
.1
.022
.047
have never seen a .03 what is that similar to in the real world of caps ?
or, is it just simple math in hundredths & thousandths ?
.05 =.047uF Not .5uF.
.02 = .022
.03 = .033
That's what you see used on instruments, or sold as guitar parts. But when you go to electronic parts suppliers, you will find a vast array of cap values such as; .001uF, .002uF, .0022uF, .0047uF, .005uF, .0068uF, .01uF, .015uF, .02uF, .022uF, .033uF, .047uF, .05uF, .056uF, .068uF, .1uF, .2uF, .22uF, .47uF etc. Even at Radio Shack.
I've seen .033uF caps used in instruments.
That's it. "uF" stands for "micro-farad", and a Farad is a very large amount of capacitance, so all you encounter in electronics work is micro-Farads, pico-Farads, and now nano-farads.
You might also see something listed as "47n" which is .047uF.
47000 pico-farads = 47 or 47n nano-farads = 0.047 micro-farad, and the cap might be marked 473K.

you the man
that explained ALOT
thanks
( just subscribed to this thread for future reference )
dubstylee,
Check out the Stellartone tone control, I have it in a Jazz bass and is great. Is it a micro circuit with 16 capacitors, I am not sure but I guess you may contact them and ask for a custom made unit with the cap values you like the most.
And don't waste money on "magical" capacitors which have no benefit in this application. Any $0.08 plastic cap is perfectly fine.The voltage rating on the cap doesn't matter, so use the smallest one. Higher voltage rated caps can get quite large.