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interval cycles

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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
..., 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 in Determining Pitch-Class Set Resemblance.” Perspectives of New Music 38/2...
Journal Article
Journal of Music Theory (2011) 55 (1): 43–88.
Published: 01 April 2011
... 45 the way to creating common-tone-preserving contextual-inversion spaces for trichords, I provide a systematic account of RI-chains for all series of three different notes and relate these to the compound cycles of intervals they entail.6 RI-chains also generate the spaces...
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
... this information more directly, and with a greater appreciation of the inherent boundaries of pitch-class space, through an examination of the properties of interval cycles. The re- lationship between the following systematic discussion of interval cycles in pc space and minimal and maximal...
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 (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 (2003) 47 (1): 155–214.
Published: 01 April 2003
... Wegrand” quotation connects trichord groups by common outermost intervals, solidifies the construction (Example 1.3). This “spinning-out” of the initial 3-3 through its two intervallic variants (st-m3-M3; m3-M3-st; M3-st-m3) is the structural focus of the phrase. Third, the phrase exhibits...
Journal Article
Journal of Music Theory (2017) 61 (1): 111–140.
Published: 01 April 2017
... Teardrops” from the Five Songs, op. 16 (1916), the fourth of the Four Dirges (1910), and the Tenth Bagatelle (1908). Béla Bartók Moritz Hauptmann tonality key interval cycles Works Cited Babbitt Milton . 1949 . “The String Quartets of Bartók.” Musical Quarterly 35 / 3 : 377 – 85...
Journal Article
Journal of Music Theory (1999) 43 (2): 349–358.
Published: 01 October 1999
... aggregates or not, rests atop a “background” of the symmetry of the twelve-tone equal-tempered collection, which features 351 inversional complementation and interval cycles, and Berg used similar procedures in his “atonal” and “twelve-tone” works...
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 (2005) 49 (1): 45–108.
Published: 01 April 2005
... the results of previous studies of intervallic consonance or dissonance. From these experimental data, Huron derives the consonance rating for each of the six interval classes, as shown in the second chart. Huron asserts, “This index can be regarded as a rough approximation...
Journal Article
Journal of Music Theory (2004) 48 (2): 219–294.
Published: 01 October 2004
...+, but in a less interesting way, since their two-step intervals are always four semitones large.) Example 5 shows that we can understand 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...
Journal Article
Journal of Music Theory (2012) 56 (1): 1–52.
Published: 01 April 2012
... divides the size of the scale, then the scale contains interval cycle,” represented as a circular note-based graph. a perfectly even chord that divides the octave into n equal By contrast, I am using the term to refer to a circular chord- parts. This chord is located at the cubes’ shared vertices...
Journal Article
Journal of Music Theory (2016) 60 (2): 213–262.
Published: 01 October 2016
.... Each other space can be derived by multiply- ing phase space 1 by 2, 3, 4, 5, or 6. The result is a superimposition of all interval cycles of a given index (see Perle 1985, Cohn 1991). Positions in the space correspond to the angles of lines extending from the origin to a point on the circle...