> Nonlinear systems can be revolting beasts. > > In a hand-waving way, we could put it like this: > x^2 generates a 2nd harmonic, x^3 generates a 3rd > harmonic, so maybe x^0.5 gives you a 1/2 harmonic... No. x^0.5 will give you 2nd, 3rd, ... infinity. Consider a series expansion of x^0.5.