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fuzzy set theory

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Journal Article
Journal of Music Theory (2022) 66 (1): 93–128.
Published: 01 April 2022
... extends theories of contour transformation by using fuzzy set theory and probability, measuring a contour's degree of familial membership by examining the contour's transformational pathway and calculating the probability that each move in the pathway is shared by other family members. Through...
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Journal Article
Journal of Music Theory (2005) 49 (1): 45–108.
Published: 01 April 2005
.... Twentieth-Century Harmony. New York: Norton. Quinn, Ian. 1996. “Fuzzy Transposition of Pitch Sets.” Paper presented at the annual meeting of the Society for Music Theory, Baton Rouge, LA. 2001. “Listening to Similarity Relations.” Perspectives of New Music 39/2: 108–58. 2006–7. “General Equal...
Journal Article
Journal of Music Theory (2004) 48 (2): 147–218.
Published: 01 October 2004
... the range and distribution of values under consideration? Quinn goes on to demonstrate that similarity relations are relative— not absolute—measures and that relative measures can be used to cate- gorize. Reconceptualizing similarity relations along the lines of fuzzy- set theory—as fuzzy...
Journal Article
Journal of Music Theory (2022) 66 (2): 303–314.
Published: 01 October 2022
... rotation of a groove by labeling the position at which the prime form would abstractly start: Black Thought's groove in “Lighthouse” is therefore “332222-3.” Finally, Ohriner draws on concepts familiar from set theory and others described by Andrew Mead ( 1987 ) and Godfried Toussaint ( 2013 ) to tabulate...
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Journal Article
Journal of Music Theory (2016) 60 (1): 23–50.
Published: 01 April 2016
....” Journal of Music Theory 36 / 2 : 259 – 84 . Quinn Ian . 1997 . “Fuzzy Extensions to the Theory of Contour.” Music Theory Spectrum 19 / 2 : 232 – 63 . Roeder John Tenzer Michael . 2012 . “Identity and Genre in Gamelan Gong Kebyar: An Analytical Study of Gabor.” Music...
Journal Article
Journal of Music Theory (2020) 64 (1): 37–61.
Published: 01 April 2020
... University Press. Margulis, Elizabeth Hellmuth. 2007. Moved by Nothing: Listening to Musical Silence. Jour- nal of Music Theory 51, no. 2: 245 76. Mead, Andrew. 2016. Fuzzy Edges: Notes on Musical Interaction in the Music of Elliott Carter. Elliott Carter Studies Online 1. studies.elliottcarter.org...
Journal Article
Journal of Music Theory (2020) 64 (1): 137–143.
Published: 01 April 2020
... the division into human performer and lifeless instru- ment, with its separate sets of methodology for the fleshy and the mechanical parts, for cognition and transformation. The boundary between the two com- ponents is at best fuzzy, at worst artificial. Perhaps most poignantly, De Souza explains...
Journal Article
Journal of Music Theory (2022) 66 (1): 135–145.
Published: 01 April 2022
... in miniature an apparent desire to give readers their money's worth by filling its pages to the brim and to encourage readers to don metaphorical reading glasses and carefully inspect and consider all the book has to offer. Hollywood Harmony begins with James Horner's ebulliently lydian musical setting...
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Journal Article
Journal of Music Theory (2013) 57 (1): 47–85.
Published: 01 April 2013
... and Practice .” Theoria 1 : 25 – 60 . Hanninen Dora A. 2004 . “ Associative Sets, Categories, and Music Analysis .” Journal of Music Theory 48 : 147 – 218 . Hasty Christopher F. 1997 . Meter as Rhythm . New York : Oxford University Press . Hunnicutt Bradley Clark...
Journal Article
Journal of Music Theory (2022) 66 (2): 291–302.
Published: 01 October 2022
... for the Common Man is the vivid example). With 1970s spectralism, he briefly notes, composers explored a fuzzy conceptual space between perceived harmonic fusion and “generally atonal” soundscapes of higher-numbered partials (23). Reviewing theoretical accounts, Harrison makes some persuasive conceptual...
Journal Article
Journal of Music Theory (2001) 45 (2): 263–343.
Published: 01 October 2001
... as a special case of the member- ship function used in “fuzzyset theory. Where inclusion in classical (“crisp”) set theory deals exclusively with whether or not element x is included in set A, fuzzy set theory allows a statement such as element x (or sc /X/) is only partially 304 a member...
Journal Article
Journal of Music Theory (2023) 67 (1): 1–70.
Published: 01 April 2023
...Dmitri Tymoczko Abstract This article describes an approximate set theory modeling intuitions shared by musicians such as Cowell, Schoenberg, Messiaen, and Persichetti. The author considers five approximation strategies, showing that in each case the result resembles an exact seven-tone set theory...
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Journal Article
Journal of Music Theory (2021) 65 (2): 287–323.
Published: 01 October 2021
... of this article proposes a conceptual revision of lyric form as a conventional configuration of both music and text, which are united by a shared set of music-rhetorical functions. The second part shows how Wagner's lyric forms integrate into the surrounding dramatic continuity as extroverted, performative...
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Journal Article
Journal of Music Theory (2007) 51 (2): 187–210.
Published: 01 October 2007
... the D/F# complex with the central poetic subject: the Christmas rose. The article introduces Wolf's setting, reevaluates Bailey's idea, and offers an in-depth hermeneutic analysis of the two songs. 2007 2007 Matt BaileyShea is an assistant professor of music theory in the College Music...
Journal Article
Journal of Music Theory (2024) 68 (1): 59–88.
Published: 01 April 2024
... multiple meanings, and it allows slippage between them. When doing theory, we usually think of a scale as a kind of pitch-class set, but when playing music, a scale can also be a specific kind of strictly ascending or descending melody, or a rubric for connecting notes in the context of a particular key...
Journal Article
Journal of Music Theory (2007) 51 (2): 277–332.
Published: 01 October 2007
... Pitch-Class Set Resemblance.” Perspectives of New Music 38/2 : 52 -87. Bullough, R. K. 1961 . “On Homometric Sets. I. Some General Theorems.” Acta Crystallographica 14 : 257 -68. Callender, Clifton. 2004 . “Continuous Transformations.” Music Theory Online 10/3 . Callender, Clifton...
Journal Article
Journal of Music Theory (2015) 59 (1): 1–61.
Published: 01 April 2015
..., scene 1’s partiti and in mm. 1–2 after “Tradito, schernito” in act 2, recitative, “la cameriera scene 9 (setting “Andate, o barbaro Compare also Fiordi- Journal of Music Theory 59.1: Music Examples, p. 11 Boyle, Ex. 27.1 (pagePaul 1 ofSherrill 3) (correx and Matthew 2...
Journal Article
Journal of Music Theory (2022) 66 (2): 147–187.
Published: 01 October 2022
... settings or in adjacent disciplines, about how and in what contexts the history of theory is usually taught in the American university system. At my home institution, which is typical in this regard, I give a seminar called History of Music Theory 2 once every two or three years. The course is a graduate...
Journal Article
Journal of Music Theory (2011) 55 (2): 167–220.
Published: 01 October 2011
... Instrumentalmusik’ .” In Eduard Hanslick zum Gedenken: Bericht des Symposions zum Anlass seines 100. Todestages , ed. Antonicek Theophil Gruber Gernot Landerer Christoph , 29 – 38 . Tutzing : Hans Schneider . Agawu Kofi . 1993 . “ Does Music Theory Need Musicology? ” Current Musicology...