Mathematics & Music: What’s the link?

“There is geometry in the humming of the strings, there is music in the spacing of the spheres.” — Pythagoras

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Videos

Music + Math: Symmetry. “From Pythagoras’ observations of the fundamental mathematical relationship between vibrating strings and harmony to the digitized musical world we enjoy today, The Majesty of Music and Mathematics with the Santa Fe Symphony and the Santa Fe Institute will explore the remarkable interweaving of the languages of music and mathematics.” View the entire Santa Fe Institute series, covering the tritone, harmonics, ratios and more.

Geometry in Music; Dmitri Tymoczko. “What could be a better medium to communicate math to the public than the universal language of music? Ever since Pythagoras used numerical terms to express intervals between notes and derived musical tones from geometrical patterns, mathematicians have linked music to numbers.” At the SIAM Annual Meeting in 2010, Tymoczko used graphics and sound to connect math to the music of Chopin, Mozart, and Schubert. Video by Adam Bauser, Bauser Media Group.

Combining Math and Music. Eugenia Cheng, a mathematician who also is a concert pianist, describes how a mathematical breakthrough enabled Johann Sebastian Bach to write “The Well-Tempered Clavier” (1722). At the time that the video was recorded, Cheng was a visiting senior lecturer in mathematics at the University of Chicago.

The Science Behind the Arts: The Maths Behind Music. University of Surrey, England.

David Kung on “Symphonic Equations: Waves and Tubes.” David Kung (St Mary’s College of Maryland) presents “Symphonic Equations: Waves and Tubes” — a miniexcursion into math and music, presented as a MAA Distinguished Lecture at the Carnegie Institution for Science.

Source: ams.org