Pure Tone   

A single frequency tone with no harmonic content. A sinusoidal wave or sine tone. The time it takes for the waveform to complete one cycle is the period of the waveform, while the distance the waveform travels through its medium is its wavelength. 
 
  sine tone (1 kHz)
 
The Fourier theorem states that any periodic waveform can be analysed as the sum of a series of sine waves with frequencies in a harmonic series and at specific phase relationships to each other.