Bruce, once again, a brilliant exposition of the underlying fundamentals, and why fundamentalism is not enough!
I won a science fair award in 1957 or so for a similar demo with a pan of water and two \'beaters\' that struck the water in a rectangular cake tin at adjustable speeds. I could exchange a round knob for a flat plane or a convex or concave surface. The interactions were photographed and made quite a striking display, although at the time I couldn\'t come up with real purpose for it, only the formulae describing the pix. (Only got 2nd. place [img]images/icons/tongue.gif[/img] )
But the true art, as you so eloquently state (no, I\'m not sucking up-some people write more clearly than others,) is to use this knowledge to make great music!