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interval cycles

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Journal Article
Journal of Music Theory (2023) 67 (1): 1–70.
Published: 01 April 2023
.... Since most seven-tone sets are interval cycles, approximate twelve-tone sets are approximately cyclic as well. The theory explains how to highlight this cyclic structure using voicings , modeled by intervals in the intrinsic scale formed from a chord's own notes. This connection to voicing is what gives...
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Journal Article
Journal of Music Theory (2002) 46 (1-2): 153–205.
Published: 01 October 2002
.... Further examination of the ic-matrices in Figure 1 reveals important differences in the intervallic content of these pcsets, specifically as re- gards the cycles on which their intervals lie. For example, each member of ic4 in {0,1,2,4,7,8} exists between adjacencies in the (048) interval cycle...
Journal Article
Journal of Music Theory (2016) 60 (2): 181–212.
Published: 01 October 2016
.... To generate additional AC classes from our 〈1,20,30〉-cycle, we might rotate one of the interval cycles while keeping the other two fixed. Two condi- tions must be met to produce an exhaustive list of AC classes for any three- voice aligned cycle. First, the intervallic...
Journal Article
Journal of Music Theory (2008) 52 (2): 273–320.
Published: 01 October 2008
... for Music Theory, Baltimore. Karpinski, Gary S. 1995 . “Structural Functions of the Interval Cycles in Early Twentieth-Century Music.” International Journal of Musicology 4 : 183 -206. Kopp, David. 2002 . Chromatic Transformations in Nineteenth-Century Music . Cambridge: Cambridge University...
Journal Article
Journal of Music Theory (2008) 52 (2): 219–249.
Published: 01 October 2008
...    Pitch-Class Set Cartography 237 Figure 9. The three interval class 1 voice-leading cycles that converge on 026 in F (12, 1) space cardinality equivalence provides a productive alternative perspective that accords with the way in which the intervallic structure of pitch-class...
Journal Article
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. Works Cited Antokoletz Elliott . 1986 . “ Interval Cycles in Stravinsky’s Early Ballets .” Journal of the American Musicological Society 39 / 3 : 578 – 614 . Babbitt Milton . 1987 . Milton...
Journal Article
Journal of Music Theory (2005) 49 (2): 333–357.
Published: 01 October 2005
.... ———. 1986 . “Interval Cycles in Stravinsky's Early Ballets.” Journal of the American Musicological Society 39 : 578 –614. Forte, Allen. 1995 . The American Popular Ballad of the Golden Era, 1924–1950 . Princeton, NJ: Princeton University Press. Gridley, Mark. 1994 . Jazz Styles: History...
Journal Article
Journal of Music Theory (2007) 51 (2): 277–332.
Published: 01 October 2007
... Even Sets.” Journal of Mathematics and Music 1/3 : 1 -14. Buchler, Michael. 1997 . “Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity.” Ph.D. diss., University of Rochester. ____. 2000 . “Broken and Unbroken Interval Cycles and Their Use...
Image
Published: 01 April 2023
Figure A4. Quinn's primary and secondary generic prototypes for dyads through hexachords. All are interval cycles or near-interval cycles. The numbers in the leftmost column represent chord-size. For unshaded cells the characteristic voicing is close position. For lightly shaded cells it is (2 More
Journal Article
Journal of Music Theory (2011) 55 (1): 43–88.
Published: 01 April 2011
... the Mind . Chicago : University of Chicago Press . Lakoff George Johnson Mark . 1980 . Metaphors We Live By . Chicago : University of Chicago Press . Lambert Philip . 1990 . '' Interval Cycles as Compositional Resources in the Music of Charles Ives. '' Music...
Includes: Supplementary data
Journal Article
Journal of Music Theory (2015) 59 (2): 273–320.
Published: 01 October 2015
... Michael . 1996 . “An Analytic Study of Béla Bartók's Sonata for Piano (1926).” D.M.A. diss. , University of British Columbia . Lambert Philip . 1990 . “Interval Cycles as Compositional Resources in the Music of Charles Ives.” Music Theory Spectrum 12 / 1 : 43 – 82 . Lendvai...
Journal Article
Journal of Music Theory (2001) 45 (2): 263–343.
Published: 01 October 2001
...Michael Buchler 2001 © Yale University, New Haven, Connecticut 06520 2001 Buchler, Michael. 1997 . “ Broken and Unbroken Interval Cycles and Their Use in Determining Pitch-Class Set Resemblance .” Ph.D. diss., University of Rochester. ____. 2000 . “Relative Saturation of Subsets...
Journal Article
Journal of Music Theory (2020) 64 (1): 105–121.
Published: 01 April 2020
.... Journal of Music Theory 35, nos. 1 2: 93 173. Clough, John, Nora Engebretsen, and Jonathan Kochavi. 1999. Scales, Sets, and Interval Cycles: A Taxonomy. Music Theory Spectrum 21, no. 1: 74 104. Clough, John, and Gerald Myerson. 1985. Variety and Multiplicity in Diatonic Systems. Journal of Music...
Journal Article
Journal of Music Theory (2009) 53 (2): 163–190.
Published: 01 October 2009
...≤, B≤, F≥, C≥, and G≥. Wheatstone arranged the twelve pitches of the resulting chromatic scale into an array consisting of intersecting axes of interval cycles indicated by Figure 3b, with semitones on the southwest-northeast diagonal...
Journal Article
Journal of Music Theory (2003) 47 (1): 155–214.
Published: 01 April 2003
... of the Interval Cycles.” The Musical Quarterly 63/1 ( 1977 ): 1 -30. Roeder, John. “Interacting Pulse Streams in Schoenberg's Atonal Polyphony.” Music Theory Spectrum 16/2 ( 1994 ): 231 -49. Rosen, Charles. Schoenberg . London: Faber, 1975 . Schoenberg, Arnold. Theory of Harmony . Trans. Roy...
Journal Article
Journal of Music Theory (2017) 61 (1): 111–140.
Published: 01 April 2017
... Songs, op. 16 (1916), the fourth of the Four Dirges (1910), and the Tenth Bagatelle (1908). Keywords  Béla Bartók, Moritz Hauptmann, tonality, key, interval cycles labeling béla bartók’s works by key has long since fallen out of fashion. The composer’s frequent claim that pieces having...
Journal Article
Journal of Music Theory (1999) 43 (2): 349–358.
Published: 01 October 1999
... 351 inversional complementation and interval cycles, and Berg used similar procedures in his “atonal” and “twelve-tone” works, with a natural emphasis on aggregate combinations and order relationships in the latter. Perle’s terminology recalls his own “twelve-tone tonality” when he re- fers...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 1–56.
Published: 01 October 2002
..., and inter- val cycles: A taxonomy. Music Theory Spectrum 21: 74–104. Daniélou, Alain. 1995. Music and the Power of Sound: The Influence of Tuning and Interval on Consciousness. Reprint of: Introduction to the Study of Musical Scales. New revised English edition with introduction by Sylvano...
Journal Article
Journal of Music Theory (2004) 48 (2): 219–294.
Published: 01 October 2004
... the pentatonic scale, like the diatonic scale, as a stack of five-semitone intervals that has been “per- turbed” so that it returns to its starting point without cycling through all twelve pitch classes. In each case the perturbation is a minimal one. The diatonic scale can be arranged as a stack of six...
Journal Article
Journal of Music Theory (2005) 49 (1): 45–108.
Published: 01 April 2005
.... Buchler, Michael. 1998 . “Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity.” Ph.D. diss., University of Rochester. Callender, Clifton. 1998 . “Voice-Leading Parsimony in the Music of Alexander Scriabin.” Journal of Music Theory 42 : 219 –34...