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The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...
For example, Berklee Music Theory - Book 2 recommends the following accompaniment for a given lead sheet, [2] while this progression does not occur in common practice theory since all the chords are seventh chords and unprepared dissonant. Accompaniment acceptable in the Berklee method [2] but not in common practice theory. Play ⓘ
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 .
Extrapolation may also mean extension of a method, assuming similar methods will be applicable. Extrapolation may also apply to human experience to project, extend, or expand known experience into an area not known or previously experienced.
In keeping with Westergaard's characteristic "concern with fundamental methodological questions", [1] ITT begins with a discussion of what it is that a theory of tonal music consists of. The conclusion reached is that it is a "logical framework in terms of which we understand tonal music"– [ 2 ] the operative words being "we understand".
Musicology (from Greek μουσική mousikē 'music' and -λογια-logia, 'domain of study') is the scholarly study of music.Musicology research combines and intersects with many fields, including psychology, sociology, acoustics, neurology, natural sciences, formal sciences and computer science.
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 analyst, and according to the purpose of the analysis.
The Schillinger system of musical composition, named after Joseph Schillinger (1895–1943) is a method of musical composition based on mathematical processes. It comprises theories of rhythm, harmony, melody, counterpoint, form and semantics, purporting to offer a systematic and non-genre approach to music analysis and composition; a descriptive rather than prescriptive grammar of music.