harmonic series

noun

The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n.

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Meanings

nounharmonic series (plural harmonic series)
  1. mathematical analysisThe divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n.
  2. entertainmentThe sequence of all positive integer multiples of a base frequency.

Translations

Catalan sèrie harmònica
  • sèrie harmònicaseries of reciprocals of natural numbers
Finnish harmoninen sarja
  • harmoninen sarjaseries of reciprocals of natural numbers
French série harmonique
  • série harmoniqueseries of reciprocals of natural numbers
German harmonische Reihe
  • harmonische Reiheseries of reciprocals of natural numbers
Italian serie armonica
  • serie armonicaseries of reciprocals of natural numbers
Japanese 調和級数
  • 調和級数series of reciprocals of natural numbers
Polish szereg harmoniczny
  • szereg harmonicznyseries of reciprocals of natural numbers
Portuguese série harmônica, série harmónica
  • série harmônicaseries of reciprocals of natural numbers
  • série harmónicaseries of reciprocals of natural numbers
Russian гармони́ческий ряд
  • гармони́ческий ряд (garmoníčeskij rjad)series of reciprocals of natural numbers
Spanish serie armónica
  • serie armónicaseries of reciprocals of natural numbers
Cite this entry
APA

harmonic series. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/harmonic%20series

MLA

“harmonic series.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/harmonic%20series. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “harmonic series,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/harmonic%20series.

Source: harmonic series on Wiktionary, CC BY-SA 4.0.