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

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This entry was posted on 2007 February 17 at 3:19 pm and is filed under math, physics. You can follow any responses to this entry through the RSS 2.0 feed.
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