Feb'09
28

The Mathematical Take on Music

By oneoverphi

Are you a math­e­mat­i­cally minded musi­cian? Seed mag­a­zine has this great arti­cle on the rela­tion­ship of math and music. It talks about how one would map har­mony to com­plex math­e­mat­i­cal structures.

When, the dust set­tles, two-note chords live on a Möbius strip, three-note chords live on a solid, twisted tri­an­gu­lar dough­nut, and larger notes live on higher-dimensional ana­logues, whose shapes become dif­fi­cult to describe non­math­e­mat­i­cally. The bound­ary of each space, or shape, is geo­met­ri­cally unusual (“singular”)–line seg­ments appear to “bounce off” the bound­ary, rather like bil­liard balls reflect­ing off the edge of a pool table.

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2 Responses to “The Mathematical Take on Music”

  1. This is funny because I am a musi­cian and I am ter­ri­ble at math. It’s mostly the more com­plex things I’m not good at though so…*shrugs*

    #41
  2. I feel math is often linked to music because at the heart of it, the act of writing/playing music is about manip­u­lat­ing ratios over time (albeit a nar­row set of ratios in the scheme of things). This is some­thing that lends itself well to math­e­mat­i­cal descrip­tion and analy­sis. I’ve heard it remarked that learn­ing to play an instru­ment will give you a leg up in math. I’m sure there have been stud­ies done. If any­one wants to point them out, that would be great. That said, the two sub­jects still occupy dif­fer­ent modes of think­ing. There are plenty of math­e­mati­cians who couldn’t carry a tune to save their Napier’s bones.

    #42

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