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  2. Natural (music) - Wikipedia

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

    Similarly, a simple ♭ or ♯ without a natural sign can be used to indicate that a double flat or double sharp has been changed to a single flat or sharp, but older notation may use ♮♭, ♭♮, ♮♯, or ♯♮ instead. When changing a flat to a sharp or vice-versa, the combined symbols ♮♯ or ♮♭ can be used. [6]

  3. List of musical symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_symbols

    Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...

  4. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Musical form is the plan by which a short piece of music is extended. The term "plan" is also used in architecture, to which musical form is often compared. Like the architect, the composer must take into account the function for which the work is intended and the means available, practicing economy and making use of repetition and order. [10]

  5. Sine wave - Wikipedia

    en.wikipedia.org/wiki/Sine_wave

    Tracing the y component of a circle while going around the circle results in a sine wave (red). Tracing the x component results in a cosine wave (blue). Both waves are sinusoids of the same frequency but different phases. A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine ...

  6. Harmonic series (music) - Wikipedia

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

    In the late 1930s, composer Paul Hindemith ranked musical intervals according to their relative dissonance based on these and similar harmonic relationships. [ 11 ] Below is a comparison between the first 31 harmonics and the intervals of 12-tone equal temperament (12TET), octave displaced and compressed into the span of one octave.

  7. Pure tone - Wikipedia

    en.wikipedia.org/wiki/Pure_tone

    Pure tones have been used by 19th century physicists like Georg Ohm and Hermann von Helmholtz to support theories asserting that the ear functions in a way equivalent to a Fourier frequency analysis. [4] [5] In Ohm's acoustic law, later further elaborated by Helmholtz, musical tones are perceived as a set of pure

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  9. Additive synthesis - Wikipedia

    en.wikipedia.org/wiki/Additive_synthesis

    Schematic diagram of additive synthesis. The inputs to the oscillators are frequencies and amplitudes .. Harmonic additive synthesis is closely related to the concept of a Fourier series which is a way of expressing a periodic function as the sum of sinusoidal functions with frequencies equal to integer multiples of a common fundamental frequency.