University of New South Wales (Australia)
Univ of New South Wales: Musical Acoustics: Strings, Standing Waves, Harmonics
The production of a standing wave in a string is presented and discussed in this site. Exceptional diagrams are accompanied by thorough explanation and mathematical analysis to explain the various modes of vibrations.
Interactive Mathematics
Interactive Mathematics: Line Spectrum
Using Fourier and Harmonic series, the line spectrums of functions are derived and represented on graphs. Several music examples show the connection between harmonics and sound.
Interactive Mathematics
Interactive Mathematics: Harmonic Analysis
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.