# The Spectrum of Sound - Analyzer

Sound and its perception has a rich mathematical structure that allows us to understand and create sounds by mixing waves. The Spectrum of Sound is an exhibit composed of two parts: a synthesizer and an analyzer. This is the Analyzer part.

Sound is a vibration of a body perceived by our ears. However, almost no object vibrates at a single frequency, it is always a mixture of vibrations at different frequencies and intensities (the spectrum, a kind of fingerprint that identifies sound timbre).

This analyzer implements the Fourier transform, an extraordinary mathematical tool used to decompose a wave into its individual components, showing the intensity of each frequency included in the original wave. Fourier transforms form the basis of all audio processing, and are also used in many other areas of mathematics.