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 + . . . .
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How to use harmonic series in a sentence
The euphonium gives out the fundamental, or first note of the harmonic series, readily, but no harmonic above the eighth.
The unisonous quality of octaves is easily explained when we examine the “harmonic series” of upper partials (see Sound).
It is left to the teacher to explain, by the ratios found in the overtones of the harmonic series, the validity of this statement.Music: An Art and a Language | Walter Raymond Spalding
We thus find a fundamental difference between the trumpet and the bugle as regards the harmonic series.
The harmonic series consists of the harmonics from the 1st to the 8th.
British Dictionary definitions for harmonic series
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
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for harmonic series
A series whose terms are in harmonic progression, especially the series 1 + 12 + 13 + 14 + .... and so on.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.