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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 approximation of the 12 pitches of Western music by modulus-12 math, forming the Circle of Halfsteps, means that musical intervals can also be thought of as angles in a polar coordinate system, stacking of identical intervals as functions of harmonic motion, and transposition as rotation around an axis. Thus, in the multiplication example ...
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 ...
Many classical compositions belong to a numbered series of works of a similar type by the same composer. For example, Beethoven wrote 9 symphonies, 10 violin sonatas, 32 piano sonatas, 5 piano concertos, 16 string quartets, 7 piano trios and other works, all of which are numbered sequentially within their genres and generally referred to by their sequence numbers, keys and opus numbers.
Keeping Score was anchored by a national PBS television series that debuted November 2, 2006; an interactive website, to explore and learn about music; a national radio series hosted by Michael Tilson Thomas that premiered on public radio stations in April 2007; documentary and live performance DVDs; and an education program for K-12 schools to ...
List of music students by teacher: A to B; List of music students by teacher: C to F; List of music students by teacher: G to J; List of music students by teacher: K to M
This is a list of musical genres within the context of classical music, organized according to the corresponding periods in which they arose or became common. Various terms can be used to classify a classical music composition, mainly including genre, form , compositional technique and style.
Godfried Toussaint (1944–2019) was a Belgian–Canadian computer scientist who worked as a professor of computer science for McGill University and New York University.His main professional expertise was in computational geometry, [2] but he was also a jazz drummer, [3] held a long-term interest in the mathematics of music and musical rhythm, and since 2005 held an affiliation as a researcher ...