Mathfest

Mathfest - Teaching the Mathematics of Music Rachel Hall...

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Teaching the Mathematics of Music Rachel Hall Saint Joseph’s University [email protected]
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Overview Sophomore-level course for math majors (non-proof) Calc II and some musical experience required Topics Rhythm, meter, and combinatorics in Ancient India Acoustics, the wave equation, and Fourier series Frequency, pitch, and intervals Tuning theory and modular arithmetic Scales, chords, and baby group theory Symmetry in music
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Course Goals Use the medium of musical analysis to Explore mathematical concepts such as Fourier series and tilings that are not covered in other math courses Introduce topics such as group theory and combinatorics covered in more detail in upper-level math courses Discuss the role of creativity in mathematics and the ways in which mathematics has inspired musicians Use mathematics to create music Have fun!
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Semester project Each student completed a major project that explored one aspect of the course in depth. Topics included the mathematics of a spectrogram; symmetry groups, functions and Bach; Bessel functions and talking drums; change ringing; building an instrument; and lesson plans for secondary school. Students made two short progress reports and a 15-
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This note was uploaded on 11/11/2011 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.

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Mathfest - Teaching the Mathematics of Music Rachel Hall...

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