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  2. 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 ...

  3. 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 ...

  4. Set (music) - Wikipedia

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

    A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes, but theorists have extended its use to other types of musical ...

  5. List of set classes - Wikipedia

    en.wikipedia.org/wiki/List_of_set_classes

    A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of unsymmetrical sets is marked "A".

  6. 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.

  7. Music appreciation - Wikipedia

    en.wikipedia.org/wiki/Music_appreciation

    Music appreciation is a division of musicology that is designed to teach students how to understand and describe the contexts and creative processes involved in music composition. The concept of music appreciation is often taught as a subset of music theory in higher education and focuses predominantly on Western art music, commonly called ...

  8. Pitch class - Wikipedia

    en.wikipedia.org/wiki/Pitch_class

    In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position." [ 1 ] Important to musical set theory, a pitch class is "all pitches related to each other by octave ...

  9. List of music theorists - Wikipedia

    en.wikipedia.org/wiki/List_of_music_theorists

    Music theory has existed since the advent of writing in ancient times.The earliest known practitioners include primarily Greek and some Chinese scholars. A few Indian sages such as Bharata Muni (Natya Shastra) are also credited with important treatises.