I've been drawing a new fret- & headless bass for myself. Material choices and forms are up to tastes, but pickup positioning peeves me. I approach instrument building from physics point of view, so I started by looking at how strings oscillate/vibrate. So there are several harmonic overtone series on the vibrating string added to the fundamental tone. Looking at strings vibrate, I cant see the vibration "waves" moving along the string, more or less just the fundamental. I wonder if the waves are, nevertheless, moving up and down the string or stationary? So, where would the best pickup position for maximal volume be from the physics point of view (ignoring the P/J -bass traditions)? Would this be at the center of the free string, halfway "@ the fundamental"? So just approximate the center for "free string". I realize the "response" of the human ear is such that even if the fundamental is removed, ear "perceives" the fundamental from the overtone series somehow. So that would imply that it would be best to position pickups so the first 3-4 overtone are transduced at maximal amplitude? Or perhaps the Really Optimal position for pickups would be as long as the string? At the end of the string, or in the bridge as some piezos?