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When that video raked up hundreds of thousands of views in a matter of days, it inspired him to reimagine other ways to teach math, including using the tune to Swift's "Anti-Hero" to help students ...
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 ...
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.
Studies have shown that the Kodály method improves intonation, rhythm skills, music literacy, and the ability to sing in increasingly complex parts. [13]: 24 Outside music, it has been shown to improve perceptual functioning, concept formation, motor skills, and performance in other academic areas such as reading and mathematics. [13]: 25
Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects... exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical". [87]
Studies focus on mathematics, science, and the humanities. Like NCSSM math and science high schools, it has an arts program, with instruction in music, theater, visual art, and dance. Daily class schedules are conducted similar to college schedules (instead of the traditional class periods in most other high schools).
Devoted to a theme in language arts, math, science, or social studies, main lesson blocks last for 3–4 weeks. The latter part of the day is spent in “practical arts” such as handwork, music, Spanish or German language classes, physical education, Eurythmy (a form of movement), as well as language arts and mathematics. Daily chores and ...
Formalized Music: Thought and Mathematics in Composition is a book by Greek composer, architect, and engineer Iannis Xenakis in which he explains his motivation, philosophy, and technique for composing music with stochastic mathematical functions.