Bach and the musical Möbius strip

[CarolineW]

https://plus.maths.org/content/topology-music-m-bius-strip

[jyriand]

If this seems interesting to you, I would suggest reading: "Gödel, Escher, Bach: An Eternal Golden Braid" [1]

[1] https://www.amazon.com/G%C3%B6del-Escher-Bach-Eternal-Golden...

[mrkgnao → jyriand]

I think Westworld naming the next episode "The Well-Tempered Clavier" could, somehow, lead to a resurgence in interest in GEB -- lots of people on /r/westworld seem to be interested, for sure! (For one, I've heard that the show's creators have admitted that they are creatively indebted to the book in some ways.)

[ThomPete → mrkgnao]

Westworld also did some interesting hints to "The Origin of Consciousness in the Breakdown of the Bicameral Mind" by Julian Jaynes a book that if you haven't read it yet you should. It's up there with GEB.

[jyriand → mrkgnao]

I think it might have something to do with the structure of the fugue.

> a contrapuntal composition in which a short melody or phrase (the subject) is introduced by one part and successively taken up by others and developed by interweaving the parts.

[edem → jyriand]

Came here to suggest this book. You were faster.

[mafribe]

Related is Tymoczko's geometry of musical chords [1] see also [2].

[1] http://dmitri.tymoczko.com/geometry-of-music.html

[2] http://dmitri.mycpanel.princeton.edu/voiceleading.pdf

[3] http://dmitri.mycpanel.princeton.edu/ChordGeometries.html

[leephillips → mafribe]

He gave an interesting presentation at a recent AAAS meeting in DC - really intriguing ideas.

http://arstechnica.com/science/2016/03/mathematics-meets-mus...

[yowlingcat → mafribe]

[2] is fantastic. I was just thinking about strategies to voice lead a set of block chords correctly while minimizing overall intervallic distance.

[elFarto]

An actual music möbius strip: https://www.youtube.com/watch?v=3iMI_uOM_fY