- 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.
harmonic series
Look at other dictionaries:
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 (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
Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… … Wikipedia
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
