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Music and mathematics. A spectrogram of a violin waveform, with linear frequency on the vertical axis and time on the horizontal axis. The bright lines show how the spectral components change over time. The intensity colouring is logarithmic (black is −120 dBFS). Music theory analyzes the pitch, timing, and structure of music.
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 ...
Johnson gave up music around 1962 and moved into mathematics (working for a time at California Institute of Technology, the private research university in Pasadena) [3] leaving this one fascinating and influential work that features many of the elements that would later become the basic staples of 1960s and early 1970s Minimalism.
Educational music, is a genre of music in which songs, lyrics, or other musical elements are used as a method of teaching and/or learning. It has been shown in research to promote learning. [1] [2] Additionally, music study in general has been shown to improve academic performance of students. [3] [4] [5]
In modern academia, music theory is a subfield of musicology, the wider study of musical cultures and history. Music theory is often concerned with abstract musical aspects such as tuning and tonal systems, scales, consonance and dissonance, and rhythmic relationships. In addition, there is also a body of theory concerning practical aspects ...
The albums Red and Discipline by King Crimson, [5] [6] as well as Spiderland by Slint, [7] are generally considered seminal influences on the development of math rock. The Canadian punk rock group Nomeansno (founded in 1979 and inactive as of 2016) have been cited by music critics as a "secret influence" on math rock, [8] predating much of the genre's development by more than a decade.
Computer music is the application of computing technology in music composition, to help human composers create new music or to have computers independently create music, such as with algorithmic composition programs. It includes the theory and application of new and existing computer software technologies and basic aspects of music, such as ...
A multiplicative operation is a mapping in which the argument is multiplied. [3] Multiplication originated intuitively in interval expansion, including tone row order number rotation, for example in the music of Béla Bartók and Alban Berg. [4] Pitch number rotation, Fünferreihe or "five-series" and Siebenerreihe or "seven-series", was first ...