The Geometry of Music
March 16, 2008 12:49 PM Subscribe
posted by y2karl (29 comments total)
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The connection between mathematics and music is often touted in awed, mysterious tones, but it is grounded in hard-headed science. For example, mathematical principles underlie the organization of Western music into 12-note scales. And even a beginning piano student encounters geometry in the "circle of fifths" when learning the fundamentals of music theory. ...according to Dmitri Tymoczko, a composer and music theorist at Princeton University, these well-known connections reveal only a few threads of the hefty rope that binds music and math. The Geometry of Music
See also The Geometry of Musical Chords - Dmitri Tymoczko, Science 7 July 2006: Abstract
See also Dmitri Tymoczko, Composer and Music TheoristviaMusic theorists have long found Chopin's E minor prelude puzzling. Although the chord progressions sound smooth to the ear, they don't quite follow the traditional rules of harmony. When Tymoczko looked at the piece and watched the composition's motion through his geometrical space, he saw that Chopin was moving in a systematic way among the different layers of the four-dimensional cubes. "It's almost as if he's an improviser with a set of rules and set of constraints," Tymoczko says.
Whoa... No way.
Dude, musta been high when he wrote that!
Ya think ?
I knew that.
I did not know that.
Well... I am of no fixed opinion in regards to this matter.
Well, I must admit, however, I find that encountering the question What makes music great ? and a mention of Deep Purple on the same homepage rather more than a bit disconcerting.