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Journal Article
An Informal Introduction to Some Formal Concepts from Lewin's Transformational Theory
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Journal of Music Theory (2004) 48 (1): 99–141.
Published: 01 April 2004
... of Music Theory.” Journal of Music Theory 33 ( 1 ): 65 -106. Clampitt, David. 1997 . “ Pairwise Well-Formed Scales: Structural and Transformational Properties .” Ph.D. diss., State University of New York at Buffalo. ____. 1998 . “Alternative Interpretations of Some Measures from Parsifal...
View articletitled, An Informal Introduction to Some Formal Concepts from Lewin's <span class="search-highlight">Transformational</span> <span class="search-highlight">Theory</span>
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Journal Article
Banjo Transformations and Bluegrass Rhythm
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Journal of Music Theory (2009) 53 (1): 137–162.
Published: 01 April 2009
...Joti Rockwell Drawing ideas from transformational theory and rhythm and meter theory, this study examines bluegrass banjo music in terms of rhythm and motions of the human hand. It begins by presenting a mathematical model of the five-string banjo characterizing the gestural permutations that give...
Journal Article
Generic Sequences and the Generic Tonnetz
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Journal of Music Theory (2020) 64 (1): 63–103.
Published: 01 April 2020
...Julian Hook This article employs concepts from diatonic set theory, transformation theory, and neo-Riemannian theory in an investigation of sequences in generic (mod-7) pitch space. Sequences may be described using generic transposition operators , mod-7 analogs of the more familiar mod-12...
Journal Article
Violin Fingerboard Space: Intervallic Mappings from Instrumental Space to Pitch Space
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Journal of Music Theory (2024) 68 (2): 201–252.
Published: 01 October 2024
... fingerboard space ( fgbd ) and pitch space ( pitch ) can be formalized as Lewinian GISes (Lewin [ 1987 ] 2007), the article employs transformational theory—specifically the concept of a GIS homomorphism— to examine the properties of intervals and transformations (transposition and inversion) in these two...
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Journal Article
Modal Spelled Pitch Class, La-Minor Solfège, and Schubert’s Third Relations
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Journal of Music Theory (2020) 64 (2): 241–281.
Published: 01 October 2020
... in E ♭ major, D. 899, and Piano Sonata in B ♭ major, D. 960, demonstrate the analytic potential of modal spelled pitch class and the eight types of coordinated transpositions. While previous transformational theories have shed light on third relations in Schubert’s harmony (Cohn 1999), modal spelled...
Journal Article
Theorizing Musical Motion, Moving with the Steel Guitar
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Journal of Music Theory (2024) 68 (2): 253–285.
Published: 01 October 2024
... and pedal steel guitars, some instances of which correspond to continuous versions of familiar voice-leading operations from transformational theory. This study proposes and accounts for several types of smooth motion: between, to, from, about, around, contrary, stop motion, and “moving in place.” Utilizing...
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Journal Article
Normalizing Musical Contour Theory
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Journal of Music Theory (2016) 60 (1): 23–50.
Published: 01 April 2016
..., this article demonstrates how the normalized representation of contour both enhances and extends the analytical capabilities of musical contour theory by more effectively modeling the transformational implications embedded therein. Rob Schultz is assistant professor of music theory at the University...
Journal Article
Fuzzy Family Ties: New Methods for Measuring Familial Similarity between Contours of Variable Cardinality
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Journal of Music Theory (2022) 66 (1): 93–128.
Published: 01 April 2022
... extends theories of contour transformation by using fuzzy set theory and probability, measuring a contour's degree of familial membership by examining the contour's transformational pathway and calculating the probability that each move in the pathway is shared by other family members. Through...
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Journal Article
Fretboard Transformations
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Journal of Music Theory (2018) 62 (1): 1–39.
Published: 01 April 2018
..., and embodiment, which juxtapose Lewinian thinking with the phenomenology of Maurice Merleau-Ponty. Copyright © 2018 by Yale University 2018 transformational theory performance analysis musical instruments phenomenology popular music Works Cited Aubin Jean-Pierre Frankowska Hélène...
Journal Article
Between Freedom and Control: Composing Out, Compositional Process, and Structure in the Music of Boulez
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Journal of Music Theory (2017) 61 (2): 201–242.
Published: 01 October 2017
... of units stressed through sonic and contextual criteria, thus providing insight into the syntactic elements of the musical language and indicating listening and analytic strategies for this music. Copyright © 2017 by Yale University 2017 Pierre Boulez Domaines transformational theory composing...
Journal Article
Transformational Aspects of Arvo Pärt's Tintinnabuli Music
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Journal of Music Theory (2011) 55 (1): 1–41.
Published: 01 April 2011
...John Roeder Arvo Pärt's strict and elemental compositional procedures, which have been described and evaluated critically by several scholars, are here expressed via a mathematical formalism drawn from theories of musical transformations. The analytical opportunities that this perspective provides...
Journal Article
Topic Theory in Soviet Musicology
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Journal of Music Theory (2022) 66 (2): 189–222.
Published: 01 October 2022
...Daniil Zavlunov Abstract Anglophone topic theory scholarship evinces only peripheral awareness of rich traditions of topical analysis that have existed outside its linguistic sphere. Many of the elements defining Anglophone topic theory today were present in the writings of Soviet musicologists...
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Journal Article
Set-Class Similarity, Voice Leading, and the Fourier Transform
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Journal of Music Theory (2008) 52 (2): 251–272.
Published: 01 October 2008
... the fourth argues that voice leading is somewhat more flexible than the Fourier transform. I conclude with a few thoughts about realism and relativism in music theory. Yale University 2008 Dmitri Tymoczko is a composer and music theorist who teaches at Princeton University. His book A Geometry...
View articletitled, Set-Class Similarity, Voice Leading, and the Fourier <span class="search-highlight">Transform</span>
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Journal Article
Schubert’s Harmonic Language and Fourier Phase Space
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Journal of Music Theory (2015) 59 (1): 121–181.
Published: 01 April 2015
..., and the Ascending 5–6 Sequence .” Journal of Music Theory 50/2 : 253 – 75 . Douthett Jack Steinbach Peter . 1998 . “ Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition .” Journal of Music Theory 42/2 : 241 – 63 . Hook Julian...
Journal Article
Tonality and Transformation
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Journal of Music Theory (2014) 58 (2): 257–263.
Published: 01 October 2014
... Processing of Musical Data .” Music Theory Spectrum 8 : 44 – 57 . Hook Julian . 2007 . “ Cross-Type Transformations and the Path Consistency Condition .” Music Theory Spectrum 29 : 1 – 39 . Lewin David . 1987 . Generalized Musical Intervals and Transformations . New Haven, CT...
Journal Article
Generalizing Musical Intervals
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Journal of Music Theory (2009) 53 (2): 227–254.
Published: 01 October 2009
... Transformations.” Music Theory Online 10/3. http://mto.societymusictheory.org/issues/mto.04.10.3/mto.04.10.3.callender.pdf . Callender, Clifton, Ian Quinn, and Dmitri Tymoczko. 2008 . “Generalized Voice Leading Spaces.” Science 320 : 346 –48. Crowe, Michael J. 1994 . A History of Vector Analysis...
Journal Article
Special Collections: Renewing Set Theory
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Journal of Music Theory (2016) 60 (2): 213–262.
Published: 01 October 2016
...Jason Yust The discrete Fourier transform on pitch-class sets, proposed by David Lewin and advanced by Ian Quinn, may provide a new lease on life for Allen Forte's idea of a general theory of harmony for the twentieth century based on the intervallic content of pitch-class collections. This article...
Journal Article
Liquidation and Its Origins
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Journal of Music Theory (2019) 63 (1): 71–102.
Published: 01 April 2019
...Áine Heneghan Liquidation is an idiosyncratic term in music theory. This article considers its origins in the writings and teaching of Arnold Schoenberg. Tracing its history uncovers the resonances that it held for him and refines our understanding of the term. Paying close attention...
Journal Article
Generalized Musical Intervals and Transformations; Musical Form and Transformation: Four Analytic Essays; Studies in Music with Text
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Journal of Music Theory (2006) 50 (1): 111–127.
Published: 01 April 2006
... . “Reconsidering Klumpenhouwer Networks.” Music Theory Online 13/2 . Cho, Hyunree. 2007 . “Lewin via Husserl.” Unpublished manuscript. Clough, John. 1989 . Review of Generalized Musical Intervals and Transformations, by David Lewin. Music Theory Spectrum 11 : 226 –31. Cone, Edward. 1974...
View articletitled, Generalized Musical Intervals and <span class="search-highlight">Transformations</span>; Musical Form and <span class="search-highlight">Transformation</span>: Four Analytic Essays; Studies in Music with Text
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for article titled, Generalized Musical Intervals and <span class="search-highlight">Transformations</span>; Musical Form and <span class="search-highlight">Transformation</span>: Four Analytic Essays; Studies in Music with Text
Journal Article
Cycles in Webern’s Late Music
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Journal of Music Theory (2018) 62 (2): 165–204.
Published: 01 October 2018
... for the often ungraspable but omnipotent laws that Webern imagined in the world around him. Copyright © 2018 by Yale University 2018 cycles transformation theory neo-Riemannian theory Anton Webern twelve-tone theory Works Cited Antokoletz Elliott . 1986 . “ Interval Cycles...
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