Precision or P Bass - Bass The Precision Bass or P because some names have been around for years. They usually have a neck thicker than the Jazz Bass, and has a P bass type pickup offsets. Usually they have the volume and tone buttons and 4 on one side of the tuning system. The old style is back tuners, meaning you turn over to them from today tuners. Many famous players have used the P Bass including John Paul Jones of Zeppelin.
Jazz Bass - Jazz basses usually have a thin body shape and form of the neck. They have a unique unbalanced body shape is much different from the precision bass. They are a more traditional kind of bass Played by many Jazz musicians. They may have 2 pickups provide various types of extra sounds and ring tones for various knobs. The sound depends on the manufacturer.
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