The values of the pots mostly affect the treble resonance. Some pickups might sound too sharp with a 500 k pot.
And there will always be as long as You do not reduce the output of the split coil.
Just today i worked on a PJ conversion. Target is a cheap chinese shortscale P. I added an old SD STK2 in the position of the bridge coil of a Ray and fiddled a bit with the electrics to compensate for the difference in output:
You see:
- a 3 way switch.
- a push-pull pot, 250 k, in parallel with a 220k resistor.
- the small trim pot and the green cap are a normal tone control which is used as a switchable preset.
- the large trim pot is used to tailor the output of the split coil. Its value depends a lot on the PU used; it should be between 82 kOhm (the load of the 3 pots in a Jazzbass) and 125 kOhm (the load of the pickup in a P bass). Trial and error is required.
What's lacking: the bridge PU needs to see a larger load - with just the volume pot it will sound too sharp. I need to further reduce the value of the parallel resistor to achieve a total of 82 kOhms.
The split coil is the usual cheap PU found in many entry level basses. It has a strong treble resonance while at the same time its bass response is (too) massive. So its load impedance must be on the smaller side in order to tame the treble response (i.e. reduced further as soon as the J pickup is right). It also needs a bass cut. This is done by the white capacitor - 10 nF in series. Its value depends on the load resistance the pickup sees. It must be increased when i reduce the resistive load the pickup sees.
But that's fine tuning; the circuitry is already usable in its present state - i hope You get the picture of my approach.