Musical Syntax I: Theoretical Perspectives

The understanding of musical syntax is a topic of fundamental importance for systematic musicology and lies at the core intersection of music theory and analysis, music psychology, and computational modeling. This chapter discusses the notion of musical syntax and its potential foundations based on notions such as sequence grammaticality, expressive unboundedness, generative capacity, sequence compression and stability. Subsequently, it discusses problems concerning the choice of musical building blocks to be modeled as well as the underlying principles of sequential structure building. The remainder of the chapter reviews the main theoretical proposals that can be characterized under different mechanisms of structure building, in particular approaches using finite-context or finite-state models as well as tree-based models of context-free complexity (including the Generative Theory of Tonal Music) and beyond. The chapter concludes with a discussion of the main issues and questions driving current research and a preparation for the subsequent empirical chapter Musical Syntax II.

[1]  Mark Steedman The Blues and the Abstract Truth: Music and Mental Models , 2009 .

[2]  R. Shepard 11 – Structural Representations of Musical Pitch , 1982 .

[3]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[4]  Martin Rohrmeier,et al.  Towards a generative syntax of tonal harmony , 2011 .

[5]  J. Tenenbaum,et al.  The learnability of abstract syntactic principles , 2011, Cognition.

[6]  守屋 悦朗,et al.  J.E.Hopcroft, J.D. Ullman 著, "Introduction to Automata Theory, Languages, and Computation", Addison-Wesley, A5変形版, X+418, \6,670, 1979 , 1980 .

[7]  Richard E. Ladner,et al.  On-line stochastic processes in data compression , 1996 .

[8]  Martin Rohrmeier,et al.  Implicit Learning and Acquisition of Music , 2012, Top. Cogn. Sci..

[9]  R. Jackendoff,et al.  A Generative Theory of Tonal Music , 1985 .

[10]  David Cope,et al.  Computer Modeling of Musical Intelligence in EMI , 1992 .

[11]  Geraint A. Wiggins,et al.  Auditory Expectation: The Information Dynamics of Music Perception and Cognition , 2012, Top. Cogn. Sci..

[12]  Nick Chater,et al.  Toward a connectionist model of recursion in human linguistic performance , 1999 .

[13]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[14]  M. Rohrmeier A generative grammar approach to diatonic harmonic structure , 2007 .

[15]  Nick Chater,et al.  The Generalized Universal Law of Generalization , 2001, ArXiv.

[16]  Justin London,et al.  Book Review: Hearing in Time: Psychological Aspects of Musical Meter (2nd Edition) , 2004 .

[17]  Geraint A. Wiggins,et al.  Principles of structure building in music, language and animal song , 2015, Philosophical Transactions of the Royal Society B: Biological Sciences.

[18]  Nick Chater,et al.  Reconciling simplicity and likelihood principles in perceptual organization. , 1996, Psychological review.

[19]  David J. Weir,et al.  The convergence of mildly context-sensitive grammar formalisms , 1990 .

[20]  Vasili Byros,et al.  Meyer's Anvil: Revisiting the Schema Concept , 2012 .

[21]  William Earl Caplin,et al.  Classical Form: A Theory of Formal Functions for the Instrumental Music of Haydn, Mozart, and Beethoven , 1998 .

[22]  David Sudnow Ways of the hand : the organization of improvised conduct , 1978 .

[23]  Mark Steedman,et al.  A Generative Grammar for Jazz Chord Sequences , 1984 .

[24]  S. Koelsch Towards a neural basis of processing musical semantics. , 2011, Physics of life reviews.

[25]  Irène Deliège Grouping Conditions in Listening to Music: An Approach to Lerdahl & Jackendoff's Grouping Preference Rules , 1987 .

[26]  Ian Cross,et al.  Cognitive Science and the Cultural Nature of Music , 2012, Top. Cogn. Sci..

[27]  Panayotis Mavromatis,et al.  A Hidden Markov Model of Melody Production in greek Church Chant , 2006 .

[28]  Ian H. Witten,et al.  Multiple viewpoint systems for music prediction , 1995 .

[29]  H. Leder,et al.  Examining Complexity across Domains: Relating Subjective and Objective Measures of Affective Environmental Scenes, Paintings and Music , 2013, PloS one.

[30]  Uli Reich,et al.  The meanings of semantics: Comment on "Towards a neural basis of processing musical semantics" by Stefan Koelsch. , 2011, Physics of life reviews.

[31]  Panayotis Mavromatis,et al.  Minimum description length modelling of musical structure , 2009 .

[32]  Ronald de Wolf,et al.  Algorithmic Clustering of Music Based on String Compression , 2004, Computer Music Journal.

[33]  W. Fitch,et al.  Multiple varieties of musical meaning: Comment on "Towards a neural basis of processing musical semantics" by Stefan Koelsch. , 2011, Physics of life reviews.

[34]  P. Grünwald The Minimum Description Length Principle (Adaptive Computation and Machine Learning) , 2007 .

[35]  Allan KElLER,et al.  BERNSTEIN'S THE UNANSWERED QUESTION AND THE PROBLEM OF MUSICAL COMPETENCE , 1978 .

[36]  S. Koelsch,et al.  Tension-related activity in the orbitofrontal cortex and amygdala: an fMRI study with music. , 2014, Social cognitive and affective neuroscience.

[37]  James Rogers,et al.  Formal language theory: refining the Chomsky hierarchy , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[38]  Charles Kemp,et al.  The discovery of structural form , 2008, Proceedings of the National Academy of Sciences.

[39]  Gerald J. Balzano,et al.  The Pitch Set as a Level of Description for Studying Musical Pitch Perception , 1982 .

[40]  Robert O. Gjerdingen Learning syntactically significant temporal patterns of chords: A masking field embedded in an ART 3 architecture , 1992, Neural Networks.

[41]  Antonella Sorace,et al.  Gradience in Linguistic Data , 2005 .

[42]  J. Rameau,et al.  Traité de l'harmonie : réduite à ses principes naturels , 1992 .

[43]  Fred Lerdahl,et al.  Cognitive constraints on compositional systems , 1992 .

[44]  E. Narmour The Analysis and Cognition of Melodic Complexity: The Implication-Realization Model , 1992 .

[45]  Noam Chomsky,et al.  वाक्यविन्यास का सैद्धान्तिक पक्ष = Aspects of the theory of syntax , 1965 .

[46]  Justyna Humięcka-Jakubowska,et al.  Sweet Anticipation : Music and , 2006 .

[47]  Ray Jackendoff,et al.  A Parallel Architecture perspective on language processing , 2007, Brain Research.

[48]  Marcus T. Pearce,et al.  The construction and evaluation of statistical models of melodic structure in music perception and composition , 2005 .

[49]  Remco C. Veltkamp,et al.  Modeling Harmonic Similarity Using a Generative Grammar of Tonal Harmony , 2009, ISMIR.

[50]  Noam Chomsky,et al.  Evolution, brain, and the nature of language , 2013, Trends in Cognitive Sciences.

[51]  Marcus T. Pearce,et al.  Music Cognition and the Cognitive Sciences , 2012, Top. Cogn. Sci..

[52]  S. Koelsch,et al.  Predictive information processing in music cognition. A critical review. , 2012, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[53]  Aniruddh D. Patel,et al.  Comment Meaning in Music and Language: Three Key Differences Comment on " towards a Neural Basis of Processing Musical Semantics " by Stefan Koelsch , 2022 .

[54]  Gfr. Weber,et al.  Versuch einer geordneten Theorie der Tonsetzkunst , 1830 .

[55]  Marc Leman,et al.  The Cortical Topography of Tonal Structures Underlying Western Music , 2002, Science.

[56]  Mark Steedman,et al.  The syntactic process , 2004, Language, speech, and communication.

[57]  Vasili Byros,et al.  Towards an "Archaeology" of Hearing: Schemata and Eighteenth-Century Consciousness , 2009 .