harmonic series


Definition of harmonic series

: a series of the form {latex}1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} + \dots{/latex}

Examples of harmonic series in a Sentence

Recent Examples on the Web

This kind of series, based on successive reciprocal numbers, is known as a harmonic series. Quanta Magazine, "Solution: ‘Hanging Far Out Over the Edge’," 2 Dec. 2016 Also called the Euler-Mascheroni constant, it is defined as the limiting difference between the natural logarithm the harmonic series. Avery Thompson, Popular Mechanics, "The Weird Number 0.577 Shows Up in Everything," 5 Oct. 2016 At one point, the music seems to orbit around the natural harmonic series, and a drone appears at another. Peter Dobrin, Philly.com, "Vivian Fung piece premiered by Daedalus Quartet," 26 Mar. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'harmonic series.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of harmonic series

1866, in the meaning defined above

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Last Updated

30 Jun 2019

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The first known use of harmonic series was in 1866

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Comments on harmonic series

What made you want to look up harmonic series? Please tell us where you read or heard it (including the quote, if possible).


not constant or steady

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