.... Jason Yust is assistant professor of music theory at Boston University. His work deals with metrical, tonal, and formal structure in tonal music, mathematical theories of harmony, and music perception and cognition. © 2016 by Yale University 2016 pitch-class set theory scale theory Fourier...

...Nathan L. Lam This article develops the notion of modal spelled pitch class by combining Julian Hook’s theory of spelled heptachords and Steven Rings’s heard scale degree. Modal spelled pitch class takes the form of an ordered triple that includes the key signature, the generic pitch classes...

..., and functional harmony. [email protected] Copyright © 2024 by Yale University 2024 François-Joseph Fétis atonality musical scales keys Joseph Yasser tonality may be the single most important organizing concept in contemporary music theory. At my institution, Boston University, all the major...

.... 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...

.... In Example 2c, while all notes of both pattern instances are within the scale, the second instance of the pattern has lower scale degree probability, 166 JOURNAL of MUSIC THEORY probably because it contains only two tonic-triad notes whereas the first instance...

..., 21–22. 56 JOURNAL of MUSIC THEORY urgency in light of the renewed interest in the composer’s late style, the rela- tive neglect in analytical circles of Schumann’s large-scale instrumental forms, and the tendency...

.... Harmonic tendencies of indi- 2. Scale-degree theories vidual chord tones – Chordsdifferent based tendencies on each scale degree have – E.g., Harrison 1994’s functional 3. Function theories theory...

... can clarify large-scale tonal relations. Copyright © 2019 by Yale University 2019 rock harmony modality harmonic function tonicization Works Cited Agmon Eytan . 1995 . “ Functional Harmony Revisited: A Prototype-Theoretic Approach .” Music Theory Spectrum 17 , no. 2...

... 2002 © Yale University, New Haven, Connecticut 06520 2002 CONTRIBUTORS Norman Carey, pianist, is Associate Professor of Music Theory at the Eastman School of Music. His interests include Schenkerian analysis and scale theory. Julian Hook is Assistant Professor...

....” Journal of Music Theory 49 : 45 -108. Tymoczko, Dmitri. 2006 . “The Geometry of Musical Chords.” Science 313 : 72 -74. ———. 2008 . “Scale Theory, Serial Theory, and Voice Leading.” Music Analysis 27 /1: 1 -49. Vuza, Dan Tudor. 1993 . “Supplementary Sets and Regular Complementary...

... : Michigan State College Press . Callender Clifton Quinn Ian Tymoczko Dmitri . 2008 . “ Generalized Voice-Leading Spaces .” Science 320/5874 : 346 – 48 . Carey Norman Clampitt David . 1989 . “ Aspects of Well-Formed Scales .” Music Theory Spectrum 11/2 : 187 – 206...

... . Tymoczko Dmitri . 2006 . “ The Geometry of Musical Chords .” Science 313 : 72 – 74 . ———. 2008a . “ Lewin, Intervals, and Transformations: A Response to Hook .” Music Theory Spectrum 30/1 : 164 – 68 . ———. 2008b . “ Scale Theory, Serial Theory, and Voice Leading .” Music Analysis...

... by Yale University 2015 Béla Bartók Mikrokosmos Piano Sonata polymodality polytonality diatonicism chromaticism scale theory rotational form Works Cited Antokoletz Elliot . 1984 . The Music of Béla Bartók: A Study of Tonality and Progression in Twentieth Century Music...

... University Press. Yale University 2011 Works Cited Brauneiss Leopold . 2001 . '' Grundsätzliches zum Tintinnabulistil Arvo Pärts. '' Musiktheorie 16 : 41 – 57 . Carey Norman Clampitt David . 1989 . '' Aspects of Well-Formed Scales. '' Music Theory Spectrum 11 : 187...

... and the Identification of Key .” Music Perception 25/3 : 193 – 212 . Tymoczko Dmitri . 2004 . “ Scale Networks and Debussy .” Journal of Music Theory 48/2 : 215 – 92 . ———. 2008a . “ Scale Theory, Serial Theory, and Voice Leading .” Music Analysis 27/1 : 1 – 49 . ———. 2008b . “ Set-Class...

... . Tonal implications of the diatonic set. In Theory Only 5 : 3 -21. Carey, Norman. 1998 . Distribution modulo 1 and musical scales . Ph.D. dissertation, University of Rochester. Carey, Norman, and David Clampitt. 1989 . Aspects of well-formed scales. Music Theory Spectrum 11 : 187 -206...

... for modeling Tymoczko’s claims. follow from the fact that such chords are close to their minor-third transpositions, for voice-leading size is not a transitive relation. 168 Journal of Music Theory that can be construed either as scales (that is, as means of measuring distance...

..., and Transformations: A Response to Hook.” Music Theory Spectrum 30 / 1 : 164 –68. ____. 2008b . “Scale Theory, Serial Theory, and Voice Leading.” Music Analysis 27 : 1 –49. ____. 2009 . “Three Conceptions of Musical Distance.” In Mathematics and Computation in Music , ed. Elaine Chew, Adrian Childs...

... consonance.” Music Perception 11 : 289 -305. Kopp, David. 1997 . “Pentatonic organization in two piano pieces of Debussy.” Journal of Music Theory 41 : 261 -287. Larson, Steve. 1992 . “ Scale-Degree Function: Cognition Research and Its Application to Aural-Skills Pedagogy .” CRCC Technical...

.... , University of British Columbia . Tymoczko Dmitri . 2008 . “ Scale Theory, Serial Theory, and Voice Leading .” Music Analysis 27 / 1 : 1 – 49 . Tymoczko Dmitri . 2009 . “ Three Conceptions of Musical Distance .” In Mathematics and Computation in Music , ed. Chew Elaine Childs...