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transformation
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in Lutosławski's Mid-Century Harmony: Reconceptualizing Chordal Space in the Five Iłłakowicz Songs
> Journal of Music Theory
Published: 01 October 2023
Figure 14. Transformation f = (i0, i7), mod 12. The transformation f either shifts a given pc(x) to T 0 (x) located 11 clockwise steps away, in a different local context (solid lines), or it shifts a given pc(x) to T 7 (x), 11 clockwise steps away, which neighbors the same pair of pcs
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Journal Article
Journal of Music Theory (2014) 58 (2): 257–263.
Published: 01 October 2014
...Edward Gollin Edward Gollin is associate professor of music at Williams College. Rings Steven Tonality and Transformation Oxford University Press , 2011 : xi+272 pp . ( $35.00 cloth ) © 2014 by Yale University 2014 Work Cited Agmon Eyton . 1979...
Journal Article
Journal of Music Theory (2006) 50 (1): 111–127.
Published: 01 April 2006
...Steven Rings David Lewin Generalized Musical Intervals and Transformations Oxford University Press, 2007: xxxi+258 pp. ($49.95 cloth); David Lewin Musical Form and Transformation: Four Analytic Essays Oxford University Press, 2007: xiv+168 pp. ($45.00 cloth); David Lewin Studies...
Journal Article
Journal of Music Theory (2023) 67 (2): 285–331.
Published: 01 October 2023
...Nicholas Stoia Abstract The transformation of blues into rhythm and blues in the mid-twentieth century mirrored the experience of migrants who traveled from the South and adapted to bustling city life in the North and Midwest. When millions of Black Americans moved to cities during the Great...
FIGURES
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in The Transformation of Prewar Blues into Postwar Rhythm and Blues: The Great Migration, Urbanization, and Form
> Journal of Music Theory
Published: 01 October 2023
Figure 5. Transformation of the standard form into the “Caldonia” and “Payday” types.
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in Lutosławski's Mid-Century Harmony: Reconceptualizing Chordal Space in the Five Iłłakowicz Songs
> Journal of Music Theory
Published: 01 October 2023
Example 3. Lutosławski's “Rycerze,” Iłłakowicz Songs : transformation of harmonic/scalar context for the note C5 in the voice melody (mm. 162, 169).
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Journal Article
Journal of Music Theory (2014) 58 (1): 1–24.
Published: 01 April 2014
...Mark Anson-Cartwright Among the many qualities that set Bach apart from his contemporaries is his manner of transforming his thematic material—most notably his fugue subjects. Bach himself believed that all good fugue writers should know how and when to change (or mutate) their subjects...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 57–126.
Published: 01 October 2002
...
the problem of relating different set classes transformationally.
A few remarks on methodology and terminology are in order before
we embark on the program outlined above. It is my hope that the UTT
formalism may provide a standardized methodology and nomenclature
for triadic transformations...
Journal Article
Journal of Music Theory (2018) 62 (1): 1–39.
Published: 01 April 2018
...Jonathan De Souza This article develops a transformational approach to the fretboard, starting from the intersection of frets and strings. To overcome formal limitations of earlier models, it extends these two dimensions without limit and then defines varied intervals and transformations...
Journal Article
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
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
Journal of Music Theory (2004) 48 (1): 69–98.
Published: 01 April 2004
...: Yale University Press. ____. 1985 . “Tonal Analogues as Atonal Resources and Their Relation to Form in Debussy's Chromatic Etude.” Journal of Music Theory 29/1 : 33 -60. Pearsall, Edward and Schaffer, John Wm. 2005 . “Shape/Interval Contours and Their Ordered Transformations: A Motivic...
Journal Article
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...
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
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in Fuzzy Family Ties: New Methods for Measuring Familial Similarity between Contours of Variable Cardinality
> Journal of Music Theory
Published: 01 April 2022
Figure 3. Generalized CAS transformational tree diagram.
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in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure 4.3. The five basic voice-leading transformations: transposition along an extrinsic scale, transposition along the intrinsic scale, neo-Riemannian voice leadings, normal-form preserving perturbations (not needed when chords are TI-related), and the small voice exchange c 0 that swaps
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in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure 5.3A. A transformational graph relating voicings of ABCE. Boldface shows the gapped clustered, gapped tertian, and gapped quartal voicings.
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in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure 5.3B. A transformational graph relating voicings of ACDE. Boldface shows the gapped clustered, gapped tertian, and gapped quartal voicings.
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in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure 5.4. In a seven-tone scale, the M2 transform sends clusters to tertian, tertian sets to quartal, and quartal to cluster. The equipollent set-classes (open note heads = trichord, closed note heads = tetrachord) are preserved under the transform.
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in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure 6.1A. A transformational graph relating pentachordal voicings. Moving along the pentagon transposes along the chord; moving between pentagons relates voicings by octave displacement.
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