On my P/J (Ibanez Musician), when I the J is on 100%, you can change the tone by moving further away from the J. More burpy midrand right over the p/up. More bassy, scooped over the nearer you get to the neck. I also cut the bass, add mids, reduce treble with the active EQ. Best to experiment. Maybe adding a programmable EQ pedal will give you the variety of tones you seek.