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This idea was widely appreciated by a lot of composers and musicians. The 18th century melodies by J. S. Bach have mathematical traces, as well as the 20th century music written by Philip Glass.

Galileo Galilei hypothesized on the numerical background why some combinations of tones are more pleasurable than the other ones...

Leonard Euler measured the similar problem in a discourse on consonance and whole numbers. Johann Sebastian Bach sometimes considered the composition of various types of music as an exercise similar to solving mathematical puzzles. Frederic Chopin supposed that the fugue is nothing more and nothing less than "pure logic in music...

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