HARMONIC SERIES Definition & Meaning

harmonic series

noun

Mathematics.

a series in which the reciprocals of the terms form an arithmetic progression.
the divergent infinite series, 1 + 1/2 + 1/3 + 1/4 + 1/5 + . . . .

harmonic series

noun

maths a series whose terms are in harmonic progression, as in 1 + 1/ 2 + 1/ 3 + …
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

harmonic series

A series whose terms are in harmonic progression, especially the series 1 + 1/2 + 1/3 + 1/4 + …. and so on.

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51�Թ� History and Origins

Origin of harmonic series¹

First recorded in 1865–70

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Example Sentences

Examples have not been reviewed.

The valves can be used in combination, too, making even more harmonic series available.

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For the purposes of understanding music theory, however, the important thing about standing waves in winds is this: the harmonic series they produce is essentially the same as the harmonic series on a string.

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The answers to all of these questions have to do with the harmonic series.

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A column of air vibrating inside a tube is different from a vibrating string, but the column of air can also vibrate in halves, thirds, fourths, and so on, of the fundamental, so the harmonic series will be the same.

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But the relationship between the frequencies of a harmonic series is always the same.

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harmonics harmonic tone

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