The right tailpiece, installed in its proper position, can make an instrument more responsive and easier to play, accentuate the harmonics and overtones, and make the instrument more resonant. This added resonance can result in a fuller and more colorful tone.
Does tailpiece affect tone guitar?
IME the tailpiece itself has minimal effect on tone, and even changing from a wooden to a metal tailpiece won't have much effect.
Does cello tailpiece affect sound?
In short, heavy tailpiece + stiff tailgut = darker, somewhat quieter sound. Light tailpiece + flexible tailgut = bigger, brighter sound. Most cellists who experiment with these things end up with something in between. Pay attention to your after-length – the distance between your bridge and tailpiece.