harmonic form

  • 31harmonic 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 …

  • 32harmonic progression — noun (mathematics) a progression of terms whose reciprocals form an arithmetic progression • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑progression, ↑patterned advance …

    Useful english dictionary

  • 33harmonic minor scale — noun : a minor scale like the natural form except that the 7th tone is raised by a half step (as A B C D E F G♯ A) * * * Music. See minor scale (def. 1). [1880 85] …

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  • 34Spherical harmonic analysis — 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

  • 35Mock modular form — In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa… …

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  • 36Sonata form — For the Sonata as a complete multi movement structure, and related musical forms, see Sonata. Sonata form is a large scale musical structure used widely since the middle of the 18th century (the early Classical period). While it is typically used …

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  • 37History of sonata form — This article treats the history of sonata form in the Baroque, Classical, Romantic, and Modern eras. For a definition of sonata form, see sonata form. For an account of critical thought as it relates to sonata form, see Criticism and sonata form …

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  • 38Surface second harmonic generation — is a method for probing interfaces in atomic and molecular systems. In second harmonic generation (SHG), the light frequency is doubled, essentially converting two photons of the original beam of energy E into a single photon of energy 2 E as it… …

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  • 39Quantum harmonic oscillator — The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential …

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  • 40Second harmonic generation — (SHG; also called frequency doubling) is a nonlinear optical process, in which photons interacting with a nonlinear material are effectively combined to form new photons with twice the energy, and therefore twice the frequency and half the… …

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