Harmonic spectrum

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.

In other words, if $\omega\,$ is the fundamental frequency, then a harmonic spectrum has the form

\{\dots, -2\omega, -\omega, 0, \omega, 2\omega, \dots\}.

A standard result of Fourier analysis is that a function has a harmonic spectrum if and only if it is periodic.

Acoustics

Engineering	Architectural acoustics Piano acoustics Reverberation Soundproofing Vibrating string string resonance	Spectrogram

Psychoacoustics	Bark scale Combination tone Equal-loudness contour Fletcher–Munson curves Mel scale Missing fundamental

Frequency Pitch	Beat Formant Fundamental frequency Frequency spectrum harmonic spectrum Harmonic series inharmonicity Overtone Resonance Subharmonic undertone series

Acousticians	John Backus Jens Blauert Ernst Chladni Hermann von Helmholtz Werner Meyer-Eppler Lord Rayleigh Joseph Sauveur D. Van Holliday Thomas Young

Related topics	Echo Infrasound Sound Ultrasound Mersenne's laws Musical acoustics piano Node

See also