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Music theory. Jubal, Pythagoras and Philolaus engaged in theoretical investigations, in a woodcut from Franchinus Gaffurius, Theorica musicæ (1492) Music theory is the study of the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that ...
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 .
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 ...
In music theory, an interval is a difference in pitch between two sounds. [1] An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. [2] [3]
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. [2] In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory .
A musical scale is a series of pitches in a distinct order. The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale, but differs from ...
The “Sisyphus Sequence” (term coined by John H. Benson, professor of Music Theory at Lawrence University), is an ascending sequence. It sounds like a ball being rolled up a hill, as described in the story of Sisyphus in Greek Mythology. Examples Sequence in J.S. Bach's Fugue in G major BWV 860, mm. 17-19, also considered a bridge.
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. [1] The perfect fifth (often abbreviated P5) spans ...
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