harmonic-series

harmonic series

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

Origin:
1865–70

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Collins
World English Dictionary
harmonic series
 
n
1.  maths a series whose terms are in harmonic progression, as in 1 + ½ + 1⁄3 + …
2.  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 10th Edition
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American Heritage
Science Dictionary
harmonic series  
A series whose terms are in harmonic progression, especially the series 1 + 1/2 + 1/3 + 1/4 + .... and so on.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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