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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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Word History and Origins
Origin of harmonic series1
First recorded in 1865–70
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Example Sentences
The euphonium gives out the fundamental, or first note of the harmonic series, readily, but no harmonic above the eighth.
From Project Gutenberg
The unisonous quality of octaves is easily explained when we examine the “harmonic series” of upper partials (see Sound).
From Project Gutenberg
It is left to the teacher to explain, by the ratios found in the overtones of the Harmonic Series, the validity of this statement.
From Project Gutenberg
We thus find a fundamental difference between the trumpet and the bugle as regards the harmonic series.
From Project Gutenberg
The harmonic series consists of the harmonics from the 1st to the 8th.
From Project Gutenberg
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