Jason Yust—Music Theorist
Selected publications and presentations:
“Generalized Trichordal and Tetrachordal Tonnetze: Geometry and Analytical Applications”: Powerpoint of a presentation to the Society for Music Theory 2017
“Hypermeter, Form, and Closure in Beethoven and Haydn's Codas”: Pdf of the powerpoint for a presentation to the Sixth New Beethoven Research Conference, November 1, 2016.
“A Three-Dimensional Model of Tonality”: Pdf of the powerpoint for an invited presentation to the American Mthematical Society special session on Mathematical Music Theory, March 2016. It uses the DFT to derive a three-dimensional toroidal space, the phase space on f2, f3, and f5, that reflects features of tonality, and presents a number of examples, derived by computational processing of tonal pieces, of motion through this space. The examples show how position in the space reflects tonally stable and unstable passages via the “tonal plane,” and also how motion through the space distinguishes basic functional progression from types of sequential progression and types of enharmonicism.
"Applications of DFT to the Theory of Twentieth-Century Harmony": Preprint of a paper for the Proceedings of the International Conference for Mathematics and Computation in Music, London, June 2015. Some useful mathematical properties of the DFT and applications to Webern Op. 5 no. 4 and Bartok Fourth String Quartet, 4th Mvt.
"Restoring the Structural Status of Keys through DFT Phase Space": Preprint of a paper forthcoming in the proceedings of the International Congress of Music and Mathematics, Puerto Vallarta, Mex., Nov. 2014. This paper shows how ideas about voice leading and long-range structure can be informed by harmonic spaces, and discusses Brahms's F major Cello Sonata (op. 99) and the Heiliger Dankgesang movement of Beethoven's Op. 132 String Quartet.
"A Spatial Perspective on Long-Range Voice-Leading and Beethoven's Heiliger Dankgesang": Pdf of the powerpoint for a talk given for the University of Connecticut's Music Theory/Music History Colloquium. The content of this overlaps with the ICMM paper above.
"Schubert's Harmonic Language and Fourier Phase Space”: Preprint of a paper published in the Journal of Music Theory, 59(1): 121–80.
"Schubert's Harmonic Language and the Tonnetz as a Continuous Geometry": This pdf version of a talk presented to SMT 2013, related to the JMT paper above.
“Tonal Prisms: Iterated Quantization in Chromatic Tonality and Ravel's ‘Ondine’”: Preprint of a paper published in the Journal Of Mathematics and Music, vol. 7(2), 2013, pp. 145–165
“A Space for Inflections: Following up on JMM's Special Issue on Mathematical Theories of Voice Leading.”: Preprint of a paper forthcoming in the Journal Of Mathematics and Music, vol. 7(3), 2013
"Distorted Continuity: Chromatic Harmony, Uniform Sequences, and Quantized Voice Leadings": Preprint of a paper forthcoming in Music Theory Spectrum.
Journal of Mathematics and Music 7.2: The special issue on mathematical theories of voice leading that contains the published version of “Tonal Prisms.”
Geometry of Melodic, Harmonic, and Metrical Hierarchy: An application of Stasheff polytopes (AKA Associahedra) to musical hierarchies. Published in the proceedings of the 2009 conference for Mathematics and Computation in Music.