[HN Gopher] Chord Transformations and Beethoven (2011) [pdf] ___________________________________________________________________ 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] ___________________________________________________________________ (page generated 2020-01-26 23:00 UTC)