Pianos can't be perfectly tuned - it's a mathematical fact! Thanks to http://www.audible.com/minutephysics for supporting MinutePhysics. Equal tempered tuning: https://en.wikipedia.org/wiki/Equal...
========== Aah, the sound of shaking animal intestines.. I
mean, strings which are traditionallymade out of cat gut but regardless of
what it's made out of when a stringvibrates it does so with the ends fixed to the
instrument. This means that it can onlyvibrate in certain waves, sin waves. Like a
jump rope with one bump or two bumps orthree or four or some combination of
these bumps. The more bumps the higherthe pitch and the faster the string has to
vibrate. In fact, the frequency of astrings vibration is exactly equal to the
number of bumps times the stringsfundamental frequency that is, the
frequency of vibrations for a single bump.And since most melodious instruments use
either strings or air vibratingpipes which has the same sinusoidal
behavior it won't...