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A pure tone is a tone with with a sinusoidal waveshape.

A sine wave is characterized by its frequency — the number of cycles per second, or its wavelength — the distance the waveform travels through its medium within a period, and the amplitude — the size of each cycle. In Physics wavelength is the distance between repeating units of a propagating Wave of a given Frequency. Amplitude is the magnitude of change in the oscillating variable with each Oscillation, within an oscillating system A pure tone has the unique property that its waveshape and sound are changed only in amplitude and phase by linear acoustic systems.

Fourier theorem

The Fourier theorem states that any periodic waveform can be approximated as closely as desired as the sum of a series of sine waves with frequencies in a harmonic series and at specific phase relationships to each other. See Harmonic series (music for the (related musical concept In Mathematics, the harmonic series is the Infinite series The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0

The lowest of these frequencies (the fundamental frequency), which is also the inverse of the period of the waveform, determines the pitch of the tone, which is perceived by the human hearing. The fundamental tone, often referred to simply as the fundamental and abbreviated fo, is the lowest frequency in a harmonic series. Pitch represents the perceived Fundamental frequency of a sound In music, notes are assigned to tones with different fundamental frequencies, in order to describe the pitch of played tones. In Music, the term note has two primary meanings 1 a sign used in Musical notation to represent the relative duration and pitch of a Sound;


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