True enough, but... An ideal string, being perfectly limp (i.e., having no "beam stiffnes") can form a perfect hinge at each end. Every real string, because of its stiffness, must deform with a short length of reverse curve at each end, moving the point of inflection away from the end, and causing the frequency to be higher than that of an ideal string of the same length.So, "It is as though the string is shorter".
David Cameron >> >This particular wire woven into the gut makes the string more rigid, >> >and when vibrating, it is as though the string is shorter, because >> >it does not quite vibrate for the entire length of the string. > >The phrase > "it does not quite vibrate for the entire length" >is misleading, and could not support a quantitative >analysis. Here is a more accurate version: > > " ... and when vibrating, it vibrates > faster because the rigidity adds extra > restoring force when the string is displaced > from its rest (equilibrium) position." > >In other words, > > A limp string gets restoring force > 1. from the tension only. > > A semi-rigid string gets restoring force > 1. from the tension, and > 2. from the rigidity. > > > >To get on or off this list see list information at >http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html >
