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  2. 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]

  3. Musical form - Wikipedia

    en.wikipedia.org/wiki/Musical_form

    Musical form unfolds over time through the expansion and development of these ideas. In tonal harmony, form is articulated primarily through cadences, phrases, and periods. [2] "Form refers to the larger shape of the composition. Form in music is the result of the interaction of the four structural elements," of sound, harmony, melody, and ...

  4. Musical isomorphism - Wikipedia

    en.wikipedia.org/wiki/Musical_isomorphism

    The musical isomorphisms are the global version of this isomorphism and its inverse for the tangent bundle and cotangent bundle of a (pseudo-)Riemannian manifold (,). They are canonical isomorphisms of vector bundles which are at any point p the above isomorphism applied to the tangent space of M at p endowed with the inner product g p ...

  5. Set theory (music) - Wikipedia

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

    One, known as the Forte number, derives from Allen Forte, whose The Structure of Atonal Music (1973), is one of the first works in musical set theory. Forte provided each set class with a number of the form c–d, where c indicates the cardinality of the set and d is the ordinal number. [18]

  6. Metric modulation - Wikipedia

    en.wikipedia.org/wiki/Metric_modulation

    Examples of metric modulation may include changes in time signature across an unchanging tempo, but the concept applies more specifically to shifts from one time signature/tempo to another, wherein a note value from the first is made equivalent to a note value in the second, like a pivot or bridge.

  7. Music theory - Wikipedia

    en.wikipedia.org/wiki/Music_theory

    Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects... exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical". [87]

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  9. Musical notation - Wikipedia

    en.wikipedia.org/wiki/Musical_notation

    Simplified Music Notation is an alternative form of musical notation designed to make sight-reading easier. It is based on classical staff notation, but incorporates sharps and flats into the shape of the note heads.