Re: Capacitor value?
You are suggesting .0022uf caps as the largest value that should be considered.
ARE YOU NUTS?!
You talk about usefullness "in a band situation", but a .0022uf cap or less on a 500k ohm tone pot will not make an audible difference on your tone (unless you're only trying to get rid of some background "hiss" as you roll down the "tone" pot). But "hiss" isn't even noticeable when you are actually playing...even by yourself, let alone with a band.
I think you need to re-read what I said.
I also can't account for your hearing, but a humbucker with 500k and a .0022uf is VERY noticeable, unless you're high end hearing is gone anyway? It's sure a whole lot more than "removing hiss".
The following are roughly equivalent in aural affect:
Single humbucker: .0022uf
2 Humbuckers in parallel .0047uf
Single Single coil: .0047uf
2 single coils in parallel: .01uf
Repeated from above, but there it is again since you either didn't read what I said, or your reading comprehension skills need work.
Also, I never said .0022uf is the maximum value that should be used. Again, your reading comprehension skills are....inadequate. Read my first post, and the one above. I suggested using a variety of caps to find what you like, and suggested those as what I like.
The .002 had no audible effect until the knob was at zero, and even then it was barely noticeable. I eventually removed the rotary control and stuck a .022 in there. I wish I had done the math back then to save myself the trouble.
On what pickup? Again, read what I said.
You aren't wrong because I said so, you're wrong because you're wrong. Again, you looked up some calcs on the web which you don't understand and mis-applied them.
Here's a hint: A pickup is not a resistor. It has a DC resistance that can be measured in ohms, but that does not make it electronically equivalent to a resistor. Don't think so?
Then according to your calculations, a .0047uf cap would have roughly the same affect on a 7k single coil as a 7k humbucker. Except it doesn't. Or the same affect on a Super 3 as an HS-4, which have comparable DCR. After all, according to you, a pickup is just a DC resistance and that tells the whole story right?
Except anyone who tries that will find it simply isn't true, is demonstrably UNTRUE, but you won't actually listen because you're too scared to try it and find out you're wrong. Got it.
As far as Ohm's law and derivations of it, that formula you posted (which only applies to a passive RC network, NOT to the situation at hand) is a derivation of that in the same way calculus is a derivation of simple arithmatic. There is a lot of light in between those things, but nice try in covering up for your not knowing that.
Alls I can say guys, is I can prove it, in person. I'll even throw money on the table. You are welcome to come by, have a beer, and put your dollars on the table with mine, then see what is audible.
Care to put your money where your typing is?
I've shown how to calculate the effective frequency response of a guitar's tone control.
Yes, incorrectly. Look at some other site's if you want to see accurate graphs or calculations.
They aren't exactly all over the web, but here's an example:
http://www.stellartone.com/files/Eq_Chart_4-742.pdf
Now look at the chart on the left. The tonestyler has caps that range from about 250pf to .022uf. The 10k figure you claim for .0022uf is actually about right for 250pf. ~.0022uf is the 8th position on a tonestyler. This diagram shows that roll off starting under 2.5khz.
But you know more than the guy who invented that right? Because you looked up some electronic things you don't understand on the web?
Even those charts don't show the whole story, but they are a lot closer to what someone can expect aurally than the numbers you posted.