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Published: 01 April 2024
Figure 1. Figure 10.8.2 from A Geometry of Music (Tymoczko 2011 ).
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Journal Article
Journal of Music Theory (2023) 67 (1): 1–70.
Published: 01 April 2023
...Dmitri Tymoczko Abstract This article describes an approximate set theory modeling intuitions shared by musicians such as Cowell, Schoenberg, Messiaen, and Persichetti. The author considers five approximation strategies, showing that in each case the result resembles an exact seven-tone set theory...
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Journal Article
Journal of Music Theory (2024) 68 (1): 125–132.
Published: 01 April 2024
...Figure 1. Figure 10.8.2 from A Geometry of Music (Tymoczko 2011 ). ...
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Journal Article
Journal of Music Theory (2009) 53 (2): 227–254.
Published: 01 October 2009
...Dmitri Tymoczko Taking David Lewin's work as a point of departure, this essay uses geometry to reexamine familiar music-theoretical assumptions about intervals and transformations. Section 1 introduces the problem of “transportability,” noting that it is sometimes impossible to say whether two...
Journal Article
Journal of Music Theory (2008) 52 (2): 251–272.
Published: 01 October 2008
...Dmitri Tymoczko In this article, I consider two ways to model distance (or inverse similarity) between chord types, one based on voice leading and the other on shared interval content. My goal is to provide a contrapuntal reinterpretation of Ian Quinn's work, which uses the Fourier transform...
Includes: Supplementary data
Journal Article
Journal of Music Theory (2010) 54 (1): 5–23.
Published: 01 April 2010
...Dmitri Tymoczko Part personal reminiscence and part scholarly disquisition, this article discusses some ways in which Stanley Cavell's work has shaped my own thinking and composing. I begin by suggesting that Cavell's overarching goal is to “redeem” traditional philosophy (and secondarily, avant...
Journal Article
Journal of Music Theory (2012) 56 (1): 1–52.
Published: 01 April 2012
...Dmitri Tymoczko This article relates two categories of music-theoretical graphs, in which points represent notes and chords, respectively. It unifies previous work by Brower, Callender, Cohn, Douthett, Gollin, O’Connell, Quinn, Steinbach, and myself, while also introducing new models of voice...
Journal Article
Journal of Music Theory (2004) 48 (2): 219–294.
Published: 01 October 2004
...Dmitri Tymoczko 2004 © Yale University, New Haven, Connecticut 06520 2004 Antokoletz, Elliott. 1993 . “Transformations of a Special Non-Diatonic Mode in Twentieth-Century Music: Bartok, Stravinsky, Scriabin, and Albrecht.” Music Analysis 12/1 : 25 -45. Baker, David. 1985 . How...
Journal Article
Journal of Music Theory (2013) 57 (1): 159–191.
Published: 01 April 2013
... on the analysis of world music, including the Oxford collection of essays Analytical and Cross-Cultural Studies in World Music , which he coedited with Michael Tenzer. Tymoczko Dmitri A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice . New York : Oxford University...
Journal Article
Journal of Music Theory (2019) 63 (2): 167–207.
Published: 01 October 2019
...Leah Frederick This article constructs generic voice-leading spaces by combining geometric approaches to voice leading with diatonic set theory. Unlike the continuous mod-12 spaces developed by Callender, Quinn, and Tymoczko, these mod-7 spaces are fundamentally discrete. The mathematical...
Journal Article
Journal of Music Theory (2008) 52 (2): 219–249.
Published: 01 October 2008
...-leading spaces, generalized by Callender, Quinn, and Tymoczko, illustrate voice-leading relationships between sets. Though many researchers have noted hints of a relationship between these two types of space, their exact relation remains murky. One way of relating these two spaces involves associating...
Journal Article
Journal of Music Theory (2024) 68 (1): 117–124.
Published: 01 April 2024
... harmony and uses so-called retrogressive motions like V–IV, although these characteristics are also found in nineteenth-century concert music (Cutler 2016 ; Schmalfeldt 2022 ; Stein 1983 ). Dmitri Tymoczko asserts that harmonic motion in rock music can be either tonal or modal, conventionally...
Journal Article
Journal of Music Theory (2010) 54 (1): 141.
Published: 01 April 2010
... Erratum for Tymoczko, Dmitri. 2009. “Generalizing Musical Intervals,” Journal of Music Theory 53: 227–54 . Due to a production error, a line of text was missing in the printed version of this article on p. 234, immediately preceding Figure 4. The affected sentence should read...
Journal Article
Journal of Music Theory (2014) 58 (2): 179–233.
Published: 01 October 2014
... : Michigan State College Press . Callender Clifton Quinn Ian Tymoczko Dmitri . 2008 . “ Generalized Voice-Leading Spaces .” Science 320/5874 : 346 – 48 . Carey Norman Clampitt David . 1989 . “ Aspects of Well-Formed Scales .” Music Theory Spectrum 11/2 : 187 – 206...
Journal Article
Journal of Music Theory (2022) 66 (1): 135–145.
Published: 01 April 2022
.... One is the imperfect correlation of LPR word length with idealized voice-leading distance noted by Dmitri Tymoczko ( 2009 : 265), which potentially confuses attributions of certain progressions to filmic or narrativized distances. Lehman bypasses this pitfall deftly in his analyses of cues from...
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Journal Article
Journal of Music Theory (2024) 68 (1): 59–88.
Published: 01 April 2024
...-theoretic discourse. But what is the essential work that the term is doing in this discourse? Christensen identifies it: to describe a “timespan of Western music in which most of us intuit common salient features.” But most contemporary discussions of tonality (e.g., Tymoczko 2011 , 2023; Harrison 2016...
Journal Article
Journal of Music Theory (2018) 62 (2): 279–338.
Published: 01 October 2018
...: Parallels between Perle and Lewin .” Theory and Practice 33 : 181 – 217 . Callender Clifton Quinn Ian Tymoczko Dmitri . 2008 . “ Generalized Voice-Leading Spaces .” Science 320 / 5874 : 346 – 48 . Cohn Richard . 2012 . Audacious Euphony: Chromaticism and the Triad’s...
Journal Article
Journal of Music Theory (2015) 59 (1): 121–181.
Published: 01 April 2015
... Theory 51/2 : 277 – 332 . Callender Clifton Quinn Ian Tymoczko Dmitri . 2008 . “ Generalized Voice-Leading Spaces .” Science 320/5874 : 346 – 48 . Clark Suzannah . 2011a . Analyzing Schubert . New York : Cambridge University Press . ———. 2011b...
Journal Article
Journal of Music Theory (2016) 60 (2): 213–262.
Published: 01 October 2016
..., is especially inclusive.2 It embraces Dmitri
Tymoczko’s (2004, 2011a) voice-leading-based scale theory, Julian Hook’s
(2011) spelled heptachords, my own (Yust 2013b) application of second-order
maximal evenness to Ravel, Marek Žabka’s (2014) Tonnetz-based scale theory,
and the many discussions of whole...
Journal Article
Journal of Music Theory (2024) 68 (1): 157–163.
Published: 01 April 2024
... broadly in agreement with Yust about the problems with the work that tonal and tonality have been involved with, my own work led me toward more upset with tonal 's frequent opposite: modal . What is “modal music”? To riff on Tymoczko's proposal of defining tonal as simply “not atonal,” 2 one...
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