Music and mathematics | Wikipedia audio article
Channel: wikipedia tts
Date: 13/01/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Music_and_mathematics


00:00:55 1 History
00:02:14 2 Time, rhythm and meter
00:03:07 3 Musical form
00:04:03 4 Frequency and harmony
00:06:52 5 Tuning systems
00:09:24 5.1 Just tunings
00:11:46 5.2 Equal temperament tunings
00:13:53 6 Connections to mathematics
00:14:09 6.1 Set theory
00:17:30 6.2 Abstract algebra
00:17:41 6.3 Real and complex analysis
00:18:35 7 See also
00:20:32 8 References
00:20:57 9 External links



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SUMMARY
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Music theory has no axiomatic foundation in modern mathematics, yet the basis of musical sound can be described mathematically (in acoustics) and exhibits "a remarkable array of number properties". Elements of music such as its form, rhythm and metre, the pitches of its notes and the tempo of its pulse can be related to the measurement of time and frequency, offering ready analogies in geometry.   
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. Some composers have incorporated the golden ratio and Fibonacci numbers into their work.