[HN Gopher] Chord Transformations and Beethoven (2011) [pdf]
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       Chord Transformations and Beethoven (2011) [pdf]
        
       Author : miobrien
       Score  : 44 points
       Date   : 2020-01-25 20:21 UTC (1 days ago)
        
 (HTM) web link (minds.wisconsin.edu)
 (TXT) w3m dump (minds.wisconsin.edu)
        
       | memset wrote:
       | It looks like the author is applying Set Theory [1] and concepts
       | from 12-Tone [2] to tonal music. It is an interesting exercise -
       | though I would expect that this music essentially boils down to
       | "Tonic -> Domainant" relationships. Schenker would be proud :)
       | 
       | [1] https://en.wikipedia.org/wiki/Set_theory_(music) [2]
       | https://en.wikipedia.org/wiki/Twelve-tone_technique
        
       | josquindesprez wrote:
       | This appears to be a mediocre piece of undergrad "research",
       | which is to say, the theoretical material is entirely plagiarized
       | without citation. Even the applied analysis (Beethoven's 9th, 2nd
       | mvt. mm. 143-172) is directly lifted from another work.
       | 
       | The application of group-theoretical ideas to music theory (in
       | particular, the rules underpinning voice leading) is quite
       | interesting, however! People have been interested in the link
       | between symmetry and musical beauty since the time of the
       | Pythagoreans. Looking through the modern lens of group theory
       | shows a delightful simplicity: if you look at the world of
       | musical operations in this way, the ones that sound best are
       | often small deviations away from maximum symmetry.
       | 
       | There are far better places to start, if you're interested,
       | covering much of the same (plagiarized!) material:
       | 
       | https://www.math.drexel.edu/~dp399/musicmath/algebraicmusict...
       | 
       | https://sites.math.washington.edu/~morrow/336_09/papers/Ada....
       | 
       | https://alpof.wordpress.com/category/music/math-music/neo-ri...
       | 
       | http://www-personal.umd.umich.edu/~tmfiore/1/mathmusiccolloq...
       | 
       | https://www.maa.org/sites/default/files/pdf/upload_library/2...
       | 
       | Or, of course, follow the citation chains on Wikipedia:
       | 
       | https://en.wikipedia.org/wiki/Neo-Riemannian_theory
       | https://en.wikipedia.org/wiki/Transformational_theory
        
         | mnemonicsloth wrote:
         | I'm trying to decide if I should go down this rabbit hole. The
         | math looks easy enough, but I know nothing about music.
         | _Nothing_. And I 'd love to learn, of course, but I can see
         | myself buying a keyboard and plinking out some of these
         | transformations and that seems like a long time to go without a
         | payoff.
         | 
         | What's your musical background?
        
         | kmill wrote:
         | I know you've been in the music business for a few hundred
         | years, Josquin, but there's no need to be so harsh about this
         | undergrad poster! From what I could figure, it's something like
         | a final project for a class on Mathematics and Music at UW Eau
         | Claire. The background material on transformations of sets of
         | pitch classes is in the course textbook. (This doesn't take
         | away from all the citations you helpfully provided, though.)
        
           | ska wrote:
           | If it's an undergrad project, it absolutely should cite
           | properly; so that is at least worth pointing out.
           | 
           | To be fair though, posters are often a bit sloppy this way,
           | and in context supposed to be supported other ways.
        
         | [deleted]
        
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       (page generated 2020-01-26 23:00 UTC)