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Original Articles

Harmonic clusters and tonal cadences: Bayesian learning without chord identification

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Pages 143-165 | Received 03 Feb 2017, Accepted 14 Nov 2017, Published online: 04 Feb 2018

References

  • Aldwell, E. , & Schachter, C. (2003). Harmony and Voice Leading (3rd ed.). Belmont, CA: Wadsworth Group/Thomson Learning.
  • Battaglia, P. W. , Jacobs, R. A. , & Aslin, R. N. (2003). Bayesian integration of visual and auditory signals for spatial localization. Journal of the Optical Society of America A , 20 (7), 1391–1397.10.1364/JOSAA.20.001391
  • Beers, R. J. v. , Sittig, A. C ., & Gon, J. J. D. v. d ., (1999). Integration of proprioceptive and visual position-information: An experimentally supported model. Journal of Neurophysiology , 81 , 1355–1364.
  • Bharucha, J. J. (1987). music cognition and perceptual facilitation: A connectionist framework. Music Perception: An Interdisciplinary Journal , 5 (1), 1–30.10.2307/40285384
  • Bharucha, J. J. , & Stoeckig, K. (1986). Reaction time and musical expectancy: Priming of chords. Journal of Experimental Psychology: Human Perception and Performance , 12 (4), 403–410.
  • Bigand, E. , & Parncutt, R. (1999). Perceiving musical tension in long chord sequences. Psychological Research , 62 , 237–254.10.1007/s004260050053
  • Bigand, E. , & Pineau, M. (1997). Global context effects on musical expectancy. Perception & Psychophysics , 59 (7), 1098–1107.10.3758/BF03205524
  • Bigand, E. , Madurell, F. , Tillmann, B. , & Pineau, M. (1999). Effect of global structure and temporal organization on chord processing. Journal of Experimental Psychology: Human Perception and Performance , 25 (1), 184–197.
  • Bod, R. (2002). Memory-based models of melodic analysis: Challenging the gestalt principles. Journal of New Music Research , 31 (1), 27–36.
  • Boltz, M. (1989). Perceiving the end: Effects of tonal relationships on melodic completion. Journal of Experimental Psychology: Human Perception and Performance , 15 (4), 749–761.
  • Bozkurt, B. , Karaosmanoglu, M. K. , Karacali, B. , & Unal, E. (2014). Usul and Makam driven automatic melodic segmentation for Turkish music. Journal of New Music Research , 43 (4), 375–389.
  • Cambouropoulos, E. (2001). The local boundary detection model (LBDM) and its application in the study of expressive timing . Paper presented at the International Computer Music Conference, San Francisco.
  • Cambouropoulos, E. (2006). Musical parallelism and melodic segmentation: A computational approach. Music Perception , 23 (3), 249–267.
  • Caplin, W. (1998). Classical form: A theory of formal functions for the instrumental music of Haydn, Mozart, and Beethoven . New York, NY : Oxford University Press.
  • Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences , 36 (3), 1–73.
  • Cohn, R. (1996). Maximally smooth cycles, hexatonic systems, and the analysis of late-romantic triadic progression. Music Analysis , 15 (1), 9–40.10.2307/854168
  • Cohn, R. (1997). Neo-Riemannian operations, parsimonious trichords, and their ‘tonnetz’ representations. Journal of Music Theory , 41 , 1–66.10.2307/843761
  • Cohn, R. (1998). Introduction to neo-riemannian theory: A survey and a historical perspective. Journal of Music Theory , 42 (2), 167–180.10.2307/843871
  • Conklin, D . (2002). Representation and discovery of vertical patterns in music . Paper presented at the Music and Artificial Intelligence, Edinburgh, Scotland. Retrived from https://link.springer.com/book/10.1007/3-540-45722-4#about.
  • Cormen, T. H. , Leiserson, C. E. , Rivest, R. L. , & Stein, C. (2001). Introduction to algorithms . Cambridge, MA: MIT Press.
  • Deliege, I. (1987). Grouping conditions in listening to music: An approach to Lerdahl & Jackendoff’s grouping preference rules. Music Perception: An Interdisciplinary Journal , 4 (4), 325–359.10.2307/40285378
  • Dowling, W. J. (1973). Rhythmic groups and subjective chunks in memory for melodies. Perception and Psychophysics , 14 , 37–40.10.3758/BF03198614
  • Duane, B . (in preparation). Models of melodic prototype abstraction.
  • Ernst, M. O. , & Banks, M. S. (2002). Humans integrate visual and haptic information in a statistically optimal fashion. Nature , 415 , 429–433.10.1038/415429a
  • Forth, J. , Agres, K. , Purver, M. , & Wiggins, G. A. (2016). Entraining IDyOT: Timing in the information dynamics of thinking. Frontiers in Psychology , 7 , 1–19.
  • Frankland, B. W. , & Cohen, A. J. (2004). Parsing of melody: Quantification and testing of the local grouping rules of Lerdahl and Jackendoff’s A Generative Theory of Tonal Music. Music Perception , 21 (4), 499–543.
  • Friston, K. (2009). The free-energy principle: A rough guide to the brain? Trends in Cognitive Sciences , 13 (7), 293–301.10.1016/j.tics.2009.04.005
  • Friston, K. , Kilner, J. , & Harrison, L. (2006). A free energy principle for the brain. Journal of Physiology , 100 , 70–87.
  • Fujishima, T . (1999). Realtime chord recognition of musical sound: A system using Common Lisp Music . Paper presented at the International Computer Music Conference, Beijing.
  • Gjerdingen, R. O. (2007). Music in the Galant style . New York, NY : Oxford University Press.
  • Gregory, A. H. (1978). Perception of clicks in music. Perception & Psychophysics , 24 (2), 171–174.10.3758/BF03199545
  • Harrison, D. (1994). Harmonic function in chromatic music: A renewed dualist theory and an account of its precedents . Chicago, IL : University of Chicago Press.
  • Harrison, D. (1995). Supplement to the theory of augmented-sixth chords. Music Theory Spectrum , 17 , 170–195.10.2307/745870
  • Hedges, T. , Roy, P. , & Pachet, F. (2014). Predicting the composer and style of jazz chord progressions. Journal of New Music Research , 43 (3), 276–290.10.1080/09298215.2014.925477
  • Hepokoski, J. , & Darcy, W. (2006). Elements of sonata theory: Norms, types, and deformations in the late eighteenth-century sonata . New York, NY : Oxford University Press.10.1093/acprof:oso/9780195146400.001.0001
  • Hild, H ., Feulner, J ., & Menzel, W . (1991). HARMONET: A neural net for harmonizing chorales in the style of J. S. Bach . Paper presented at the 4th International Conference on Neural Information Processing Systems, Denver, Colorado.
  • Hillis, J. M. , Watt, S. J. , Landy, M. S. , & Banks, M. S. (2004). Slant from texture and disparity cues: Optimal cue combination. Journal of Vision , 4 , 967–992.
  • Hornel, D. , & Ragg, T . (1996). A connectionist model for the evolution of styles of harmonization . Paper presented at the 1996 International Conference on Music Perception and Cognition, Montreal.
  • Hosmer, D. W. , & Lemeshow, S. (2000). Applied Logistic Regression (2nd ed.). New York, NY : Wiley.10.1002/0471722146
  • Hyer, B . (1989). Tonal intuitions in ‘Tristan und Isolde’ . ( Ph.D.). Yale University, New Haven, CT .
  • Ito, J. P. (2014). Koch’s metrical theory and Mozart’s music: A corpus study. Music Perception: An Interdisciplinary Journal , 31 (3), 205–222.10.1525/mp.2014.31.3.205
  • Jacobs, R. A. (1999). Optimal integration of texture and motion cues to depth. Vision Research , 39 , 3621–3629.10.1016/S0042-6989(99)00088-7
  • Janata, P. (1995). ERP measures assay the degree of expectancy violation of harmonic contexts in music. Journal of Cognitive Neuroscience , 7 (2), 153–164.10.1162/jocn.1995.7.2.153
  • Janata, P. , & Petsche, H. (1993). Spectral analysis of the EEG as a tool for evaluating expectancy violations of musical contexts. Music Perception: An Interdisciplinary Journal , 10 (3), 281–304.10.2307/40285571
  • Jonaitis, E. M. , & Saffran, J. R. (2009). Learning harmony: The role of serial statistics. Cognitive Science , 33 , 951–968.10.1111/j.1551-6709.2009.01036.x
  • Justus, T. C. , & Bharucha, J.J. (2001). Modularity in musical processing: The automaticity of harmonic priming. Journal of Experimental Psychology: Human Perception and Performance , 27 (4), 1000–1011.
  • Knill, D. C. , & Pouget, A. (2004). The Bayesian brain: The role of uncertainty in neural coding and computation. Trends in Neurosciences , 27 (12), 712–719.10.1016/j.tins.2004.10.007
  • Knill, D. C. , & Saunders, J. A. (2003). Do humans optimally integrate stereo and texture information for judgments of surface slant? Vision Research , 43 , 2539–2558.10.1016/S0042-6989(03)00458-9
  • Knopoff, L. , & Hutchinson, W. (1983). Entropy as a measure of style: The influence of sample length. Journal of Music Theory , 27 (1), 75–97.10.2307/843561
  • Koch, H. C . (1983/1771–1776). Introductory essay on composition: The mechanical rules of melody, sections 3 and 4 ( N.K.. Baker , Trans.). New Haven, CT : Yale University Press.
  • Koelsch, S. , Gunter, T. , Friederici, A. D. , & Schröger, E. (2000). Brain Indices of Music Processing: ‘Nonmusicians’ are Musical. Journal of Cognitive Neuroscience , 12 (3), 520–541.10.1162/089892900562183
  • Kopp, D. (2002). Chromatic Transformations in Nineteenth-Century Music . New York, NY : Cambridge University Press.10.1017/CBO9780511481932
  • Krumhansl, C. L. (1990). Cognitive foundations of musical pitch . New York, NY : Oxford University Press.
  • Krumhansl, C. L. , & Keil, F.C. (1982). Acquisition of the hierarchy of tonal functions in music. Memory & Cognition , 10 (3), 243–251.10.3758/BF03197636
  • Krumhansl, C. L. , & Kessler, E.J. (1982). Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. Psychological Review , 89 (4), 334–368.10.1037/0033-295X.89.4.334
  • Krumhansl, C. L. , & Shepard, R.N. (1979). Quantification of the hierarchy of tonal functions within a diatonic context. Journal of Experimental Psychology: Human Perception and Performance , 5 (4), 579–594.
  • Laitz, S. G. (2012). The Complete Musician (3rd ed.). New York, NY : Oxford University Press.
  • Leino, S. , Brattico, E. , Tervaniemi, M. , & Vuust, P. (2007). Representation of harmony rules in the human brain: Further evidence from event-related potentials. Brain Research , 1142 , 169–177.10.1016/j.brainres.2007.01.049
  • Lerdahl, F. , & Jackendoff, R. (1983). A generative theory of tonal music . Cambridge, MA: The MIT Press.
  • Lerdahl, F. , & Krumhansl, C. L. (2007). Modeling Tonal Tension. Music Perception: An Interdisciplinary Journal , 24 (4), 329–366.10.1525/mp.2007.24.4.329
  • Lewin, D. (1982). A formal theory of generalized tonal functions. Journal of Music Theory , 26 , 23–60.10.2307/843354
  • Loui, P. , & Wessel, D. (2007). Harmonic expectation and affect in Western music: Effects of attention and training. Perception & Psychophysics , 69 (7), 1084–1092.10.3758/BF03193946
  • Loui, P. , Grent-’t-Jong, T. , Torpey, D. , & Woldorff, M. (2005). Effects of attention on the neural processing of harmonic syntax in Western music. Cognitive Brain Research , 25 , 678–687.10.1016/j.cogbrainres.2005.08.019
  • Martin, N. J. , & Pedneault-Deslauries, J. (2015). The Mozartean Half Cadence. In P. Berge & M. Neuwirth (Eds.), What is a Cadence?: Theoretical and Analytical Perspectives on Cadences in the Classical Repertoire (pp. 185–213). Leuven: Leuven University Press.
  • Marvin, E. W. , & Brinkman, A. (1999). The effect of modulation and formal manipulation on perception of tonic closure by expert listeners. Music Perception: An Interdisciplinary Journal , 16 (4), 389–407.10.2307/40285801
  • Mauch, M . (2010). Automatic chord transcription from audio using computational models of musical context . ( Ph.D.), Queen Mary, University of London.
  • Mitchell, T. M. (1997). Machine Learning (1st ed.). New York, NY : WCB/McGraw-Hill.
  • Ni, Y. , McVicar, M. , Santos-Rodriguez, R. , & De Bie, T. D. (2012). An end-to-end machine learning system for harmonic analysis of music. IEEE Transactions on Audio, Speech, and Language Processing , 20 (6), 1771–1783.10.1109/TASL.2012.2188516
  • Pachet, F . (1997). Computer analysis of jazz chord sequences: Is solar a blues? In E. Miranda (Ed.), Readings in Music and Artificial Intelligence . Harwood Academic.
  • Pardo, B. , & Birmingham, W. P. (2002). Algorithms for chordal analysis. Computer Music Journal , 26 (2), 27–49.10.1162/014892602760137167
  • Pearce, M. T. , Mullensiefen, D. , & Wiggins, G. A. (2010). Melodic grouping in information retrieval: New methods and applications. In Z. W. Ras & A. A. Wieczorkowska (Eds.), Advances in music information retrieval (pp. 365–389). Berlin: Springer-Verlag.
  • Pinkerton, R. C. (1956). Information Theory and Melody. Scientific American , 194 (2), 77–87.10.1038/scientificamerican0256-77
  • Piston, W. , & DeVoto, M. (1987). Harmony (5th ed.). New York, NY : W. W. Norton & Company.
  • Ponsford, D. , Wiggins, G. , & Mellish, C. (1999). Statistical learning of harmonic movement. Journal of New Music Research , 28 (2), 150–177.10.1076/jnmr.28.2.150.3115
  • Quinn, I. (2010). Are pitch-class profiles really key for key? Zeitschrift der Gesellschaft fur Musiktheorie , 7 (2), 151–163.
  • Quinn, I. , & Mavromatis, P . (2011). Voice-leading prototypes and harmonic function in two chorale corpora . Paper presented at the International Conference on Mathematics and Computation in Music.
  • Quinn, I. , & White, C . (Forthcoming). Chord context and harmonic function in tonal music. Music Theory Spectrum .
  • Rameau, J.-P . (1971/1722). Treatise on Harmony ( P.. Gossett , Trans.). New York, NY : Dover.
  • Rao, R. P. N. , & Ballard, D. H. (1999). Predictive coding in the visual cortex: A functional interpretation of some extra-classical receptive-field effects. Nature Neuroscience , 2 (1), 79–87.10.1038/4580
  • Riemann, H . (1882). The nature of harmony ( J. C. Fillmore , Trans.) New lessons in harmony . Philadelphia, PA : Theodore Presser.
  • Rosner, B. S. , & Narmour, E. (1992). Harmonic closure: Music theory and perception. Music Perception: An Interdisciplinary Journal , 9 (4), 383–411.10.2307/40285561
  • Schenker, H . (1954). Harmony ( O. Jonas , Trans.). Chicago, IL : University of Chicago Press.
  • Schenker, H . (1977/1935) [1935]. Free Composition ( E. Oster , Trans.). Hillsdale, NY: Pendragon Press.
  • Schmalfeldt, J. (1992). Cadential processes: The evaded cadence and the ‘one more time’ technique. Journal of Musicological Research , 12 (1), 1–52.10.1080/01411899208574658
  • Schoenberg, A. (1967). Fundamentals of Musical Composition . New York, NY : St. Martin’s Press.
  • Sears, D. , Caplin, W. E. , & McAdams, S. (2014). Perceiving the classical cadence. Music Perception: An Interdisciplinary Journal , 31 (5), 397–417.10.1525/mp.2014.31.5.397
  • Sheh, A. , & Ellis, D. P. W . (2003). Chord segmentation and recognition using em-trained Hidden Markov Models . Paper presented at the 4th International Conference on Music Information Retrieval, Baltimore, Maryland.
  • Sloboda, J. A. , & Gregory, A. H. (1980). The psychological reality of musical segments. Canadian Journal of Psychology/Revue canadienne de psychologie , 34 (3), 274–280.10.1037/h0081052
  • Smith, C. (1986). The functional extravagance of chromatic chords. Music Theory Spectrum , 8 , 94–139.10.2307/746072
  • Speer, J. R. , & Meeks, P. U. (1985). School children’s perception of pitch in music. Psychomusicology: A Journal of Research in Music Cognition , 5 (1), 49–56.10.1037/h0094200
  • Steinbeis, N. , Koelsch, S. , & Sloboda, J. A. (2006). The role of harmonic expectancy violations in musical emotions: Evidence from subjective, physiological, and neural responses. Journal of Cognitive Neuroscience , 18 (8), 1380–1393.10.1162/jocn.2006.18.8.1380
  • Stoffer, T. H. (1985). Representation of phrase structure in the perception of music. Music Perception: An Interdisciplinary Journal , 3 (2), 191–220.10.2307/40285332
  • Tan, N. , Aiello, R. , & Bever, T. G. (1981). Harmonic structure as a determinant of melodic organization. Memory & Cognition , 9 (5), 533–539.10.3758/BF03202347
  • Taube, H. (1999). Automatic tonal analysis: Toward the implementation of a music theory workbench. Computer Music Journal , 23 (4), 18–32.
  • Temperley, D. (2001). The cognition of basic musical structures . Cambridge, MA: The MIT Press.
  • Temperley, D. (2007). Music and probability . Cambridge, MA: The MIT Press.
  • Temperley, D. (2009). A unified probabilistic model for polyphonic music analysis. Journal of New Music Research , 38 (1), 3–18.10.1080/09298210902928495
  • Temperley, D. , & Marvin, E. W. (2008). Pitch-class distribution and the identification of key. Music Perception: An Interdisciplinary Journal , 25 (3), 193–212.10.1525/mp.2008.25.3.193
  • Tillmann, B. , Bigand, E. , & Madurell, F. (1998). Local versus global processing of harmonic cadences in the solution of musical puzzles. Psychological Research , 61 , 157–174.10.1007/s004260050022
  • Vilares, I. , & Kording, K. (2011). Bayesian models: The structure of the world, uncertainty, behavior, and the brain. Annals of the New York Academy of Sciences , 1224 , 22–39.10.1111/j.1749-6632.2011.05965.x
  • Youngblood, J. E. (1958). Style as information. Journal of Music Theory , 2 (1), 24–35.10.2307/842928

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