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  2. Musical form - Wikipedia

    en.wikipedia.org/wiki/Musical_form

    In music, form refers to the structure of a musical composition or performance.In his book, Worlds of Music, Jeff Todd Titon suggests that a number of organizational elements may determine the formal structure of a piece of music, such as "the arrangement of musical units of rhythm, melody, and/or harmony that show repetition or variation, the arrangement of the instruments (as in the order of ...

  3. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.

  4. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Quadratic residue: An integer a is a quadratic residue modulo m, if there exists an integer x such that x 2 ≡ a (mod m). Euler's criterion asserts that, if p is an odd prime, and a is not a multiple of p, then a is a quadratic residue modulo p if and only if a (p−1)/2 ≡ 1 (mod p).

  5. Spiral array model - Wikipedia

    en.wikipedia.org/wiki/Spiral_array_model

    In music theory, the spiral array model is an extended type of pitch space.A mathematical model involving concentric helices (an "array of spirals"), it represents human perceptions of pitches, chords, and keys in the same geometric space.

  6. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.

  7. Quizlet - Wikipedia

    en.wikipedia.org/wiki/Quizlet

    [6] [7] [8] Quizlet's blog, written mostly by Andrew in the earlier days of the company, claims it had reached 50,000 registered users in 252 days online. [9] In the following two years, Quizlet reached its 1,000,000th registered user. [10] Until 2011, Quizlet shared staff and financial resources with the Collectors Weekly website. [11]

  8. Musical notation - Wikipedia

    en.wikipedia.org/wiki/Musical_notation

    Byzantine music once included music for court ceremonies, but has only survived as vocal church music within various Orthodox traditions of monodic chant written down in Byzantine round notation (see Macarie's anastasimatarion with the Greek text translated into Romanian and transliterated into Cyrillic script).

  9. Formalized Music - Wikipedia

    en.wikipedia.org/wiki/Formalized_Music

    Formalized Music: Thought and Mathematics in Composition is a book by Greek composer, architect, and engineer Iannis Xenakis in which he explains his motivation, philosophy, and technique for composing music with stochastic mathematical functions.