John,
I play a lot of big band tunes on the PSR-3000 and never experienced the problem you describe. It's possible that you may need to change your keyboard's EQs, or the EQ settings on your sound system.
Gary
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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!
K+E=W (Knowledge Plus Experience = Wisdom.)