Complex harmonic motion
Encyclopedia
Complex harmonic motion occurs when a number of simple harmonic
motions are combined.
Chord
s in music are an example of this phenomenon.
Any continuous periodic function can be represented as a complex harmonic motion using its fourier series
.
Harmonic
A harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency, i.e. if the fundamental frequency is f, the harmonics have frequencies 2f, 3f, 4f, . . . etc. The harmonics have the property that they are all periodic at the fundamental...
motions are combined.
Chord
Chord (music)
A chord in music is any harmonic set of two–three or more notes that is heard as if sounding simultaneously. These need not actually be played together: arpeggios and broken chords may for many practical and theoretical purposes be understood as chords...
s in music are an example of this phenomenon.
Any continuous periodic function can be represented as a complex harmonic motion using its fourier series
Fourier series
In mathematics, a Fourier series decomposes periodic functions or periodic signals into the sum of a set of simple oscillating functions, namely sines and cosines...
.