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Journal Article
Journal of Music Theory (2004) 48 (1): 1–24.
Published: 01 April 2004
... of Music Theory 37.2 : 231 -66. Boland, Marguerite. 1999 . “ The All-Trichord Hexachord: Compositional Strategies in Elliott Carter's Con Leggerezza Pensosa and Gra. ” M.A. thesis, Latrobe University. Boros, James. 1990 . “Some Properties of the All-Trichord Hexachord.” In Theory Only 11.6...
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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 2. Properties of an affinity space, A 7 = 3–3–1-cycle: (a) operation p (trans p ose); (b) operation f (trans f orm).
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Journal Article
Journal of Music Theory (2019) 63 (2): 167–207.
Published: 01 October 2019
... properties of these spaces derive from the properties of diatonic pitch-class sets and generic pitch spaces developed by Clough and Hook. After presenting the construction of these voice-leading spaces and defining the OPTIC relations in mod-7 space, this article presents the mod-7 OPTIC -, OPTI -, OPT...
Journal Article
Journal of Music Theory (2007) 51 (2): 277–332.
Published: 01 October 2007
... in continuous environments, applying the corresponding harmonic intuitions to all possible chords of pitches and pitch classes in all possible tuning systems. This Fourier-based approach to harmony is used to compare the properties of twelve-note chords in Witold Lutosławski and Elliot Carter, to analyze...
Journal Article
Journal of Music Theory (2015) 59 (2): 273–320.
Published: 01 October 2015
... and formal processes. The article then contextualizes the structure of the Dasian space within a larger class of constructs, which I call affinity spaces , by generalizing some of its group-theoretical properties that model relations between nondiatonic scalar materials. The analytical pertinence of affinity...
Journal Article
Journal of Music Theory (2017) 61 (2): 243–287.
Published: 01 October 2017
... are familiar from neo-Riemannian theory; the third relates a major triad to the minor triad with a root three semitones higher (such as C major and E♭ minor). The PSM framework exhibits two properties ideally suited to an atonal triadic style. First, as each relation belongs to a different common-tone class...
Journal Article
Journal of Music Theory (2011) 55 (1): 1–41.
Published: 01 April 2011
... in this music can be heard as nuanced and expressive. More theoretically, the transformational representation reveals some formal properties of tintinnabulation that suggest some interesting generalizations. John Roeder teaches music theory at the School of Music at the University of British Columbia...
Journal Article
Journal of Music Theory (2022) 66 (1): 1–42.
Published: 01 April 2022
... properties of harmony, newly understood as a specifically polyphonic phenomenon, first emerged into theoretical discourse in polemical writings of the Northern Italian theorists Nicolò Burzio (1487), Giovanni Spataro (1491), and Franchino Gaffurio (1496, 1518), sparked by the inflammatory views of Bartolomeo...
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Journal Article
Journal of Music Theory (2010) 54 (2): 143–177.
Published: 01 October 2010
... properties. Yale University 2011 Robert Peck is associate professor and coordinator of music theory in the School of Music at Louisiana State University. He is founding co-editor-in-chief of the Journal of Mathematics and Music . Babbitt, Milton. 1960 . “Twelve-Tone Invariants...
Journal Article
Journal of Music Theory (2023) 67 (1): 99–139.
Published: 01 April 2023
... the unique properties of hybrid spaces that combine the tools of discrete mathematics, such as graphs, with distance-based metrics. The minimum and maximum values at the edges of the graph in Figure 22 are not to be taken as mathematical limits, but they do emphasize the relatively narrow range in which...
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Journal Article
Journal of Music Theory (2004) 48 (2): 147–218.
Published: 01 October 2004
...”) and the con-
textual criteria that support and interrelate them (their “relations Con-
textual criteria record relational properties of segments: they represent
an association between segments as a property of (two or more) seg-
ments. Unlike certain relational properties such as “mother” or “next...
Journal Article
Journal of Music Theory (2001) 45 (1): 1–29.
Published: 01 April 2001
..., and we shall formulate it presently,
as “Answer 1B” in Part 2 of this paper. To formulate Answer 1B, we shall
first need to define five “Fourier Properties” that a pcset X may or may
not possess.
2. Five “Fourier Properties” which a pcset may or may not possess;
the relevance...
Journal Article
Journal of Music Theory (2024) 68 (1): 133–140.
Published: 01 April 2024
... and tonality deserves more examination here. Yust includes triadic harmony and consonance as one of the most readily perceptible features of tonality, but neither a necessary nor a sufficient one: “Consonance is perhaps the most easily perceptible property of music that we call tonal. While it is certainly...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 57–126.
Published: 01 October 2002
... properties of triadic transformations remains far from
complete. The gymnastics one must perform in order to find canonical
forms and calculate products in Hyer’s system are unwieldy, and the pic-
ture of the group that emerges is ultimately a rather hazy one. Moreover,
the system is demonstrably...
Journal Article
Journal of Music Theory (2012) 56 (2): 169–223.
Published: 01 October 2012
... : University of Rochester Press . Cappé O. Moulines E. Rydén T. . 2005 . Inference in Hidden Markov Models . New York : Springer . Chomsky Noam . 1957 . Syntactic Structures . The Hague : Mouton . ———. 1959 . “ On Certain Formal Properties of Grammars .” Information...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 285–345.
Published: 01 October 2002
... is in its exploration of the music.
Although Mead makes no attempt to formulate or explicate the theoretic
group structures that underlie array construction, he should not be chided
for his decision.1 While knowledge of the group-theoretic properties of
arrays is certainly an important and even...
Journal Article
Journal of Music Theory (2024) 68 (1): 125–132.
Published: 01 April 2024
... short vocal works. But musical properties sometimes occur even when they are “unnecessary,” and I hear TSDT harmony in the frottola, Germanic folk music, the Carter Family, and rock and roll. [email protected] Copyright © 2024 by Yale University 2024 i agree with Jason Yust...
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Journal Article
Journal of Music Theory (1999) 43 (1): 21–82.
Published: 01 April 1999
...) context. Section 3 elaborates three special kinds of join or
meet relations between partitions, these relations having useful theoreti-
cal and analytical properties to be developed later on. Section 4 studies
partition meets and joins in a familiar passage from Arnold Schoenberg’s
Violin Concerto...
Journal Article
Journal of Music Theory (2024) 68 (1): 59–88.
Published: 01 April 2024
.... This practical function of the tonality concept, with its historical orientation, contrasts with the idea of tonality as a musical property, having to do with the perception of keys and tonics. This essay explains how the dual senses of tonality are incoherent and serve to perpetuate the racist origins...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 1–56.
Published: 01 October 2002
.... ____. 1996 . Regions: A theory of tonal spaces in early medieval treatises. Journal of Music Theory 40 : 113 -47. Clampitt, David. 1997 . Pairwise well-formed scales: Structural and transformational properties . Ph.D. dissertation, State University of New York at Buffalo. Clough, John. 1979...
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