# harmonic series

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Related to harmonic series: geometric series, Harmonic sequence

## harmonic series

*n.*

**1.**

*Mathematics*A series whose terms are in harmonic progression, especially the series 1 +

^{1}/

_{2}+

^{1}/

_{3}+

^{1}/

_{4}+ ....

**2.**

*Music*A series of tones consisting of a fundamental tone and the consecutive harmonics produced by it.

## harmonic series

*n*

**1.**(Mathematics)

*maths*a series whose terms are in harmonic progression, as in 1 + + + …

**2.**(Music, other)

*acoustics*the series of tones with frequencies strictly related to one another and to the fundamental tone, as obtained by touching lightly the node points of a string while playing it. Its most important application is in the playing of brass instruments

## harmon′ic se′ries

*n.*

a series in which the reciprocals of the terms form an arithmetic progression.

[1865–70]

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