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I don't have time to thoroughly read this before commenting, but upon scanning it, I echo the disdain of many of the other commenters. The lack of humility seem
by acjohnson55 9y ago
I don't have time to thoroughly read this before commenting, but upon scanning it, I echo the disdain of many of the other commenters. The lack of humility seems to reflect the lack of important prior work cited in the paper.
Most glaringly, the author assaults Helmholtz without acknowledging the fact that people who study this topic in academia are way past that. It's like if I were to tell you that I've got an amazing new theory of physics and justify it by referencing Newtonian mechanics -- every academic knew it to be incomplete a century ago. Pointing that out is not a novel idea.
If you're interested in understanding how music works on a psychological level, "music theory" is the wrong thing to search for. The fields you're interested in are psychoacoustics and music perception.
Music theory is the study of compositional practice. It's a field that collects a whole bunch of descriptive theories on how composers in different periods and genres tend to work. You can use it to help yourself compose pieces in a given paradigm.
Psychoacoustics and music perception are the study of how we actually understand sound and music. The theories therein are what gave us things like lossy compression (e.g. "exactly what raw sound data can we discard and still preserve a perceptually identical recording?"). This is an incredible achievement in that it only works if we have a thorough understanding of how the brain processes sound and music. Psychoacoustics has little to say about what makes something qualitatively musical, but that's where study of music perception picks up.
In the overlap between these two fields, there are a bunch of people working on unified theories of harmonic/Western/tonal music. The author fails to reference the most interesting work done in this area. The ones I've found most convincing are:
- Dmitri Tymoczko's Geometry of Music: http://dmitri.tymoczko.com/geometry-of-music.html http://dmitri.tymoczko.com/geometry-of-music.html
- Bill Sethares's Tuning Timbre Spectrum Scale approach: http://sethares.engr.wisc.edu/ttss.html http://sethares.engr.wisc.edu/ttss.html
- Andrew Duncan's Combinatorial Music Theory: http://andrewduncan.net/cmt/ http://andrewduncan.net/cmt/
Some of this work is pretty old at this point. Granted, it's surprisingly difficult to do a full literature review in this area. I know from experience, because I studied this topic in grad school. Someone could probably earn a Ph.D. by properly synthesizing all of these idea into a music theory that combines the analytical power of Tymoczko's approach with the first-principle work of Setheres.
- the_cat_kittles 9y agogreat post. drawing the distinction between music perception, music theory and psychoacoustics is very helpful for me. i just finished writing a kind of dumb rant about this article, and your post seems to address some of my complaints perfectly. thanks!
- tprice7 9y agoIn relation to Bill Sethare's work, I recommend listening to example (1) here : http://sethares.engr.wisc.edu/html/soundexamples.html http://sethares.engr.wisc.edu/html/soundexamples.html , which is an amazing demonstration of the relationship between overtone beating and consonance / dissonance. Even if the statement "lack of beating between overtones sounds good" doesn't hold true as a universal rule (and I'm sure this has occurred to many people prior to Wilkerson), you can really see what Helmholtz was getting at here.