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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.
George Allen Russell (June 23, 1923 – July 27, 2009) was an American jazz pianist, composer, arranger and theorist. He is considered one of the first jazz musicians to contribute to general music theory with a theory of harmony based on jazz rather than European music, in his book Lydian Chromatic Concept of Tonal Organization (1953).
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 ...
Those critical of jazz saw it as music from people with no training or skill. [78] White performers were used as a vehicle for the popularization of jazz music in America. Although jazz was taken over by the white middle-class population, it facilitated the mesh of African American traditions and ideals with white middle-class society. [79]
Blues musical styles, forms (12-bar blues), melodies, and the blues scale have influenced many other genres of music, such as rock and roll, jazz, and popular music. [127] Prominent jazz, folk or rock performers, such as Louis Armstrong , Duke Ellington , Miles Davis , and Bob Dylan have performed significant blues recordings.
Plato (428/427 BC – 348/347 BC) is important in the history of mathematics for inspiring and guiding others. [52] His Platonic Academy, in Athens, became the mathematical center of the world in the 4th century BC, and it was from this school that the leading mathematicians of the day, such as Eudoxus of Cnidus (c. 390 - c. 340 BC), came. [53]
Bachelor's degrees in bass performance (referred to as B.Mus. or B.M.) are four-year programs that include individual bass lessons, amateur orchestra experience, and a sequence of courses in music history, music theory, and liberal arts courses (e.g., English literature), which give the student a more well-rounded education. Usually, bass ...
The Higher School Certificate (HSC) is the credential awarded to secondary school students who successfully complete senior high school level studies (Years 10, 11 and 12 or equivalent) in New South Wales and some ACT schools in Australia, as well as some international schools in Singapore, Malaysia, Indonesia, China, and Papua New Guinea.