I had to replace a new bridge pin for my acoustic guitar, and the one I purchased is not quite the same as the other pins. Now that particular string is way out of tune up the neck (i.e. the harmonic at the 12th fret is way sharper than the actual 12th fret). All the rest of the strings are fine.
Could this be the bridge pin's fault and if so, how exactly? (I'm trying to imagine the physics of it).