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Music on a Clear Möbius Strip - Numberphile

Numberphile · Youtube · 26 HN points · 0 HN comments
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Youtube Summary
The mathematical genius of JS Bach - featuring Marcus Du Sautoy.
More links & stuff in full description below ↓↓↓

See books by Marcus, including his latest "Thinking Better: The Art of the Shortcut" --- https://amzn.to/3j5FygD
Marcus' website with latest info: https://www.simonyi.ox.ac.uk
Marcus on Twitter: https://twitter.com/MarcusduSautoy

Other Marcus videos on Numberphile: https://bit.ly/Marcus_Numberphile
Marcus on the Numberphile podcast: https://youtu.be/PVSkzNOXG1k

Unexpected Shapes: https://youtu.be/wKV0GYvR2X8

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Oct 19, 2021 · 26 points, 4 comments · submitted by sohkamyung
lioeters
Oh, this is delightful. It's an exploration of how J. S. Bach used algorithms ("mathematical tricks") to compose and generate music.

A related recent post:

Beneath the surface of Bach’s music is a world of numerology and cunning craft

https://aeon.co/essays/look-into-the-secret-world-of-numerol...

https://news.ycombinator.com/item?id=28498605

klelatti
Interesting discussion. I attended a concert / talk featuring Professor Du Sautoy and a performance of the Goldberg Variations a few days ago which was very engaging.

I do wonder whether the maths in Bach was a 'shortcut' in the sense that imposing constraints to follow particular patterns narrowed down the range of material that would work in particular compositions and that having chosen that material the composition was a matter of then working through those patterns.

(Du Sautoy's latest book is all about mathematical shortcuts)

Zachsa999
This is the programmer's way.
lupire
If you liked this, you may enjoy Hofstadter's Godel, Escher, Bach which explores more themes like this.
taliesinb
A bizarre coincidence: this morning I was reading about a role for the Möbius strip in music, but it had nothing to do with this!

It turns out orbifolds have an application in music theory. Orbifolds are a kind of generalization of a continuous manifold [0]. The mathematician Tymoczko (and others) used orbifolds to describe the abstract geometry of musical chords, in which the Möbius strip is the geometry of the dyad. The work was published in Science [1], and is quite short and readable, but is also summarized in a short article by the AMS [2].

[0]: https://en.wikipedia.org/wiki/Orbifold

[1]: https://dmitri.mycpanel.princeton.edu/files/publications/sci...

[2]: https://www.ams.org/publicoutreach/math-in-the-media/mmarc-1...

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