Acoustics / Electroacoustics
A sinusoidal wave or function, that is, one moving in SIMPLE HARMONIC MOTION according to the function
A sin (2pft)
where A is the AMPLITUDE of the wave, f its FREQUENCY, and t is time.
According to the FOURIER THEOREM, any periodic WAVEFORM may be analyzed as the sum of a series of sine waves with frequencies in a HARMONIC SERIES, each of which has an amplitude and phase angle given by the Fourier coefficients. Since a sine wave has only a single frequency associated with it, it may be considered the simplest sound.
See: FOURIER ANALYSIS, FOURIER SYNTHESIS, GRANULAR SYNTHESIS, LAW OF SUPERPOSITION, SIMPLE TONE, SINE TONE, SOUND SYNTHESIS.
Two CYCLEs of a sine wave showing the amplitude of the pressure variation.
Sound Example: Sine wave at 100 Hz.