Mathematics and Music
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Dave Rusin; The Mathematical Atlas  
A short article documenting the interplay between music and mathematics, with a bibliography. Explorations into tunings include why there are twelve tones in an octave, tuning problems that lead to the Riemann zeta function or to logarithms, nineteentone tunings, and the theory of chords. Odds and ends in the More Math'n'Music topic include connections between music and the learning of math, appearances of the golden mean and sums of series in music, defining musical styles mathematically, the psychology of music and other interplays between math and music, a combinatorial partition problem, and personal tidbits about Chopin, Bartok, Birkhoff, and other composers.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Audio, Frequently Asked Questions (FAQs) 
Math Topics:  Real Analysis, Logarithms, Golden Ratio/Fibonacci, Sequences and Series, Analytic Number Theory, Music 
Math Ed Topics:  Psychological Research 
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