Now that WordPress has , let’s play around a little… I can’t call myself a “musical naturalist” without showing you the equations that describe the propagation of sound and music. Behold… the acoustic wave equation and the principles from which it derives:

Conservation of Mass

Conservation of Momentum

Conservation of Energy

Equation of State:

Acoustic Wave Equation:

Simplify by assume time-dependence of form :

Helmholtz Equation

with

Solution #1: No boundaries, homogeniuos, isotropic media (spherical coordinates) in the limit