Harmonic Series Definition

noun
A series whose terms are in harmonic progression, especially the series 1 +12 +13 +14 + ....
American Heritage
The series of harmonics, or pure tones, making up a composite tone.
Webster's New World

(mathematics, analysis) The divergent series whose terms are reciprocals of successive natural numbers starting with 1. In symbols: .

Wiktionary
(music)
Wiktionary

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harmonic series