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  2. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    Note that C99 and C++ do not implement complex numbers in a code-compatible way – the latter instead provides the class std:: complex. All operations on complex numbers are defined in the <complex.h> header. As with the real-valued functions, an f or l suffix denotes the float complex or long double complex variant of the function.

  3. String harmonic - Wikipedia

    en.wikipedia.org/wiki/String_harmonic

    A pinch harmonic (also known as squelch picking, pick harmonic or squealy) is a guitar technique to achieve artificial harmonics in which the player's thumb or index finger on the picking hand slightly catches the string after it is picked, [10] canceling (silencing) the fundamental frequency of the string, and letting one of the overtones ...

  4. Harmonic - Wikipedia

    en.wikipedia.org/wiki/Harmonic

    Two different notations of natural harmonics on the cello. First as sounded (more common), then as fingered (easier to sightread). In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal.

  5. Cello technique - Wikipedia

    en.wikipedia.org/wiki/Cello_technique

    Natural harmonics are produced by lightly touching (but not depressing) the string with the finger at certain places, and then bowing (or, rarely, plucking) the string. For example, the halfway point of the string will produce a harmonic that is one octave above the unfingered (open) string.

  6. Scale of harmonics - Wikipedia

    en.wikipedia.org/wiki/Scale_of_harmonics

    The Guqin Scale of harmonics on the Moodswinger Scale of harmonics on C. Play ⓘ The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. [citation needed] This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale. [1]

  7. Harmonic series (music) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(music)

    Double the harmonic number means double the frequency (which sounds an octave higher). An illustration in musical notation of the harmonic series (on C) up to the 20th harmonic. The numbers above the harmonic indicate the difference – in cents – from equal temperament (rounded to the nearest integer). Blue notes are very flat and red notes ...

  8. Natural frequency - Wikipedia

    en.wikipedia.org/wiki/Natural_frequency

    Natural frequency, measured in terms of eigenfrequency, is the rate at which an oscillatory system tends to oscillate in the absence of disturbance. A foundational example pertains to simple harmonic oscillators , such as an idealized spring with no energy loss wherein the system exhibits constant-amplitude oscillations with a constant frequency.

  9. Harmonic (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_(mathematics)

    In mathematics, a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians ; the solutions to which are given by eigenvalues corresponding to their modes of vibration.