Physics:Harmonic spectrum
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A harmonic spectrum is a spectrum containing only frequency components whose frequencies are whole number multiples of the fundamental frequency; such frequencies are known as harmonics. "The individual partials are not heard separately but are blended together by the ear into a single tone."[1]
In other words, if [math]\displaystyle{ \omega }[/math] is the fundamental frequency, then a harmonic spectrum has the form
- [math]\displaystyle{ \{\dots, -2\omega, -\omega, 0, \omega, 2\omega, \dots\}. }[/math]
A standard result of Fourier analysis is that a function has a harmonic spectrum if and only if it is periodic.
See also
- Fourier series
- Harmonic series (music)
- Periodic function
- Scale of harmonics
- Undertone series
References
![]() | Original source: https://en.wikipedia.org/wiki/Harmonic spectrum.
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