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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...
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 (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 (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...
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. drake.ralph.andersen@gmail.com Copyright © 2023 by Yale University 2023 space graph experimental music improvisation ABSTRACT COMPOSITIONAL SPACES have...
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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 (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 (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 (2002) 46 (1-2): 57–126.
Published: 01 October 2002
...” for each of them, and elaborate multiplication tables from which one may determine the product of any two transformations. Hyer’s group is an impressive struc- ture, but many have found it confusing, and in any case our understand- ing of the algebraic properties of triadic transformations remains far...
Journal Article
Journal of Music Theory (2012) 56 (2): 169–223.
Published: 01 October 2012
... T h E O R Y an HMM express? As it turns out, the HMM formalism makes only two broad assumptions about the data source—termed the finite memory and stationarity properties—resulting in a framework that is expressive enough to capture a broad...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 285–345.
Published: 01 October 2002
... 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 necessary part of Babbitt schol- arship,2...
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 (2002) 46 (1-2): 1–56.
Published: 01 October 2002
... the dia- tonic with more complexity than equal temperament does. In general, scales with Myhill’s Property (Clough and Myerson 1985) will be relatively low in differences. Myhill’s Property is said to obtain when each generic class contains specific intervals of exactly two sizes.4 Clough...
Journal Article
Journal of Music Theory (2014) 58 (2): 179–233.
Published: 01 October 2014
... . Clampitt David . 1997 . “ Pairwise Well-Formed Scales: Structural and Transformational Properties .” Ph.D. diss. , State University of New York at Buffalo . Clough John Douthett Jack . 1991 . “ Maximally Even Sets .” Journal of Music Theory 35/1-2 : 93 – 173 . Clough John...
Journal Article
Journal of Music Theory (2005) 49 (1): 109–140.
Published: 01 April 2005
... each aspect as a separate property in his first public presentation on the subject, he then gathered them together as the “P relation” (Cohn 1994). They have since remained essentially together under a single rubric in neo-Riemannian literature. In this article, I want to take...
Journal Article
Journal of Music Theory (2004) 48 (2): 219–294.
Published: 01 October 2004
... on scale formation, showing that the sets satisfying these constraints possess a number of interesting theoretical properties. This constitutes a “statics” of scalar collections. Section II turns to “dynamics”—techniques of mov- ing between scales based on shared subsets or efficient voice leading...
Journal Article
Journal of Music Theory (2016) 60 (2): 295–305.
Published: 01 October 2016
... consisting of broken chords is one that can be understood to make it fictional that chords (simultaneously sounding pitches of a single harmony) are broken apart. The property by virtue of which the passage makes this fictional is the sequential sounding of individual pitches of a single...