What Does 'Harmonic' Mean in Math and Music?

[Jhenrique]

What means "harmonic"?

The term "harmonic" arise in the math in several subjects, harmonic series, harmonic function, analysis harmonic, mean harmonic... but in each context harmonic have a different interpretation, but exist a general interpretation for "harmonic"? From where is "harmonic" and what it remits?

 

[Simon Bridge]

It means - "relating to music" and the use in science and mathematics refers to a pure or "harmonious" note played on a musical instrument or intoned by the voice of a singer with "perfect pitch".