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  2. Music theory - Wikipedia

    en.wikipedia.org/wiki/Music_theory

    In modern academia, music theory is a subfield of musicology, the wider study of musical cultures and history. Music theory is often concerned with abstract musical aspects such as tuning and tonal systems, scales, consonance and dissonance, and rhythmic relationships. In addition, there is also a body of theory concerning practical aspects ...

  3. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio .

  4. 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.

  5. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    Harmonic series, partials 1–5 numbered. In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a ...

  6. Musical analysis - Wikipedia

    en.wikipedia.org/wiki/Musical_analysis

    Musical analysis is the study of musical structure in either compositions or performances. [1] According to music theorist Ian Bent, music analysis "is the means of answering directly the question 'How does it work?'". [2] The method employed to answer this question, and indeed exactly what is meant by the question, differs from analyst to ...

  7. Set theory (music) - Wikipedia

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

    The fundamental concept of musical set theory is the (musical) set, which is an unordered collection of pitch classes. [4] More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). [5] The elements of a set may be manifested in music as simultaneous chords, successive tones (as in ...

  8. Cadence - Wikipedia

    en.wikipedia.org/wiki/Cadence

    In Western musical theory, a cadence (from Latin cadentia 'a falling') is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards. [2] A harmonic cadence is a progression of two or more chords that concludes a phrase, section, or piece of music. [3]

  9. Articulation (music) - Wikipedia

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

    Articulation is a musical parameter that determines how a single note or other discrete event is sounded. Articulations primarily structure an event's start and end, determining the length of its sound and the shape of its attack and decay. They can also modify an event's timbre, dynamics, and pitch. [1]

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