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 + . . . .

Nearby words

  1. harmonic mean,
  2. harmonic minor scale,
  3. harmonic motion,
  4. harmonic oscillator,
  5. harmonic progression,
  6. harmonic suture,
  7. harmonic tone,
  8. harmonica,
  9. harmonicon,
  10. harmonics

Origin of harmonic series

First recorded in 1865–70

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019


British Dictionary definitions for harmonic series

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
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

Science definitions for harmonic series

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.