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Bayesian Model Selection for Harmonic Labelling

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Mathematics and Computation in Music (MCM 2007)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 37))

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Abstract

We present a simple model based on Dirichlet distributions for pitch-class proportions within chords, motivated by the task of generating ‘lead sheets’ (sequences of chord labels) from symbolic musical data. Using this chord model, we demonstrate the use of Bayesian Model Selection to choose an appropriate span of musical time for labelling at all points in time throughout a song. We show how to infer parameters for our models from labelled ground-truth data, use these parameters to elicit details of the ground truth labelling procedure itself, and examine the performance of our system on a test corpus (giving 75% correct windowing decisions from optimal parameters). The performance characteristics of our system suggest that pitch class proportions alone do not capture all the information used in generating the ground-truth labels. We demonstrate that additional features can be seamlessly incorporated into our framework, and suggest particular features which would be likely to improve performance of our system for this task.

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References

  • Bello, J.P., Pickens, J.: A Robust Mid-Level Representation for Harmonic Content in Musical Signals. In: Proc. ISMIR, pp. 304–311 (2005)

    Google Scholar 

  • Chuan, C.-H., Chew, E.: Polyphonic Audio Key Finding Using the Spiral Array CEG Algorithm. In: Proc. ICME, pp. 21–24 (2005)

    Google Scholar 

  • Harte, C., Sandler, M., Abdallah, S., Gómez, E.: Symbolic Representation of Musical Chords: A Proposed Syntax for Text Annotations. In: Proc. ISMIR, pp. 66–71 (2005)

    Google Scholar 

  • Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  • Krumhansl, C.L.: Cognitive Foundations of Musical Pitch. Oxford University Press, Oxford (1990)

    Google Scholar 

  • Lee, K., Slaney, M.: Automatic Chord Recognition from Audio Using an HMM with Supervised Learning. In: Proc. ISMIR (2006)

    Google Scholar 

  • MacKay, D.J.C.: Information Theory, Inference, and Learning Algorithms. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  • Minka, T.: Estimating a Dirichlet Distribution (2003), http://research.microsoft.com/~minka/papers/dirichlet/

    Google Scholar 

  • Müllensiefen, D., Frieler, K.: Cognitive Adequacy in the Measurement of Melodic Similarity: Algorithmic vs. Human Judgments. Computing in Musicology 13, 147–176 (2004)

    Google Scholar 

  • Pachet, F.: A meta-level architecture applied to the analysis of Jazz chord sequences. In: Proc. ICMC (1991)

    Google Scholar 

  • Raphael, C., Stoddard, J.: Functional Harmonic Analysis Using Probabilistic Models. Computer Music Journal 28(3), 45–52 (2004)

    Article  Google Scholar 

  • Scholz, R., Dantas, V., Ramalho, G.: Funchal: a System for Automatic Functional Harmonic Analysis. In: Proc. SBCM (2005)

    Google Scholar 

  • Sheh, A., Ellis, D.P.W.: Chord Segmentation and Recognition using EM-trained Hidden Markov Models. In: Proc. ISMIR, pp. 185–191 (2003)

    Google Scholar 

  • Tagg, P.: Harmony entry. In: Shepherd, J., Horn, D., Laing, D. (eds.) Continuum Encyclopedia of Popular Music of the World. Continuum, New York (2003a)

    Google Scholar 

  • Tagg, P.: Lead sheet entry. In: Shepherd, J., Horn, D., Laing, D. (eds.) Continuum Encyclopedia of Popular Music of the World. Continuum, New York (2003b)

    Google Scholar 

  • Temperley, D.: The Cognition of Basic Musical Structures. MIT Press, Cambridge (2001)

    Google Scholar 

  • Temperley, D.: Bayesian Models of Musical Structure and Cognition. Musicae Scientiae 8, 175–205 (2004)

    Google Scholar 

  • Temperley, D.: Music and Probability. MIT Press, Cambridge (2007)

    MATH  Google Scholar 

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Correspondence to Christophe Rhodes .

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© 2009 Springer-Verlag Berlin Heidelberg

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Rhodes, C., Lewis, D., Müllensiefen, D. (2009). Bayesian Model Selection for Harmonic Labelling. In: Klouche, T., Noll, T. (eds) Mathematics and Computation in Music. MCM 2007. Communications in Computer and Information Science, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04579-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-04579-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04578-3

  • Online ISBN: 978-3-642-04579-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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