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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�y��vlog History and Origins

Origin of harmonic series¹

First recorded in 1865–70

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Example Sentences

Examples have not been reviewed.

Like octaves, the other intervals are also produced by the harmonic series.

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Each valve opens an extra length of tube, making the instrument a little longer, and making available a whole new harmonic series.

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Usually one valve gives the harmonic series one half step lower than the valveless intrument; another, one whole step lower; and the third, one and a half steps lower.

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

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At each slide "position," the instrument gets a new harmonic series.

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