Re: [math-fun] musical chords geometry
As a lifelong lover of music, I'm amazed that I never knew that 2-note chords formed a Mobius strip. The George Hart video shows this the best. Octaves in Modular Mobius Music - YouTube https://www.youtube.com/watch?v=Q8moAKBegFg Perhaps everyone else on this list already knew this, but it was new (& cool) to me. It might be fun to animate Bach's 2-part counterpoint on such a Mobius strip from a midi score, although I suspect that others have already done this -- perhaps Hart himself? At 06:05 AM 9/6/2015, Warren D Smith wrote:
I found Dmitri Tymoczko's paper THE GEOMETRY OF MUSICAL CHORDS here http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.215.7449&rep=rep1&t...
The Hart video is well worth a look! It also raises an elementary question which has me scratching my head --- what is the connection between the Moebius band and the orbifold described by Tymoczko? WFL On 9/6/15, Henry Baker <hbaker1@pipeline.com> wrote:
As a lifelong lover of music, I'm amazed that I never knew that 2-note chords formed a Mobius strip. The George Hart video shows this the best.
Octaves in Modular Mobius Music - YouTube
https://www.youtube.com/watch?v=Q8moAKBegFg
Perhaps everyone else on this list already knew this, but it was new (& cool) to me.
It might be fun to animate Bach's 2-part counterpoint on such a Mobius strip from a midi score, although I suspect that others have already done this -- perhaps Hart himself?
At 06:05 AM 9/6/2015, Warren D Smith wrote:
I found Dmitri Tymoczko's paper THE GEOMETRY OF MUSICAL CHORDS here http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.215.7449&rep=rep1&t...
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