harmonic series

harmonic series
noun Date: 1866 a series of the form 1 + 1/2α + 1/3α + 1/4α + ... which diverges for 0 ≤ α ≤ 1 and converges for α > 1

New Collegiate Dictionary. 2001.

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  • Harmonic series — Harmonic Har*mon ic (h[aum]r*m[o^]n [i^]k), Harmonical Har*mon ic*al ( [i^]*kal), a. [L. harmonicus, Gr. armoniko s; cf. F. harmonique. See {Harmony}.] 1. Concordant; musical; consonant; as, harmonic sounds. [1913 Webster] Harmonic twang! of… …   The Collaborative International Dictionary of English

  • Harmonic series — could refer to two related concepts:*Harmonic series (mathematics) *Harmonic series (music) …   Wikipedia

  • harmonic series — pl.n., n. the series of harmonic tones making up a composite tone: also called harmonics pl.n …   English World dictionary

  • harmonic series — harmoninė eilutė statusas T sritis fizika atitikmenys: angl. harmonic series vok. harmonische Reihe, f rus. гармонический ряд, m pranc. série harmonique, f …   Fizikos terminų žodynas

  • harmonic series — noun 1. : the divergent series 1+ 1/2+ 1/3+ 1/4+ 1/5+ … 2. : a series of partial tones consisting of a fundamental tone or first harmonic and all the overtones whose frequency ratio to it can be expressed in whole numbers, these harmonics usually …   Useful english dictionary

  • harmonic series — noun 1》 Music a set of frequencies consisting of a fundamental and the harmonics related to it by an exact fraction. 2》 Mathematics a harmonic progression …   English new terms dictionary

  • harmonic series — Math. 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 +. ... [1865 70] * * * …   Universalium

  • harmonic series — harmon′ic se′ries n. math. a series in which the reciprocals of the terms form an arithmetic progression • Etymology: 1865–70 …   From formal English to slang

  • harmonic series — /haˌmɒnɪk ˈsɪəriz/ (say hah.monik searreez) noun 1. Mathematics any series in which the reciprocals of the terms form an arithmetic progression. 2. Music the complete range of upper partials produced from and by a fundamental note …   Australian English dictionary

  • Harmonic series (music) — Harmonic series of a string. Pitched musical instruments are often based on an approximate harmonic oscillator such as a string or a column of air, which oscillates at numerous frequencies simultaneously. At these resonant frequencies, waves… …   Wikipedia

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