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Sensory Dissonance
      Models

     Tuukka Tervo - Colloquium 29.10.2009
Sensory Dissonance
       Models
There are two aspects of dissonance
perception
1. learned or top-down or contextual
2. innate or bottom-up or sensory
Sensory Dissonance
       Models
Sensory dissonance is explained in terms of
•   Physical properties of sound
•   Physiological properties of the auditory
    system
Sensory Dissonance
       Models
Computer programs that…
   …simulate the sensory process of
   dissonance perception.
   …give an estimate of the degree of
   perceived dissonance of a given sound.
Sensory Dissonance
       Models

Two types
•   Auditory models
•   Curve-mapping models
Sensory Dissonance
       Models

Auditory models
•   Based on models of the auditory periphery
•   e.g. Leman (2000)
Sensory Dissonance
       Models
Curve-mapping models
•   Based on empirical data from Plomp and
    Levelt (1965)
•   e.g. Sethares (1999), Vassilakis (2001)
Curve-mapping Models

From Plomp & Levelt 1965

Sensory dissonance of a sine
tone pair as a function of
frequency difference on a critical
bandwidth scale
Sensory Dissonance
       Models
Why try to model sensory dissonance
perception?
•   To gain better understanding about its
    contribution to the organisation of music.
•   May be useful for MIR tasks.
•   May be useful for studies of higher-level
    processing of music, e.g. music-induced
    emotions.
Research Question


Can the models of sensory dissonance predict
the perceived degree of dissonance of music?
Method

! Listening experiment to gather behavioural
  data on dissonance perception.
! Simulating sensory dissonance processing using
  various models.
! Statistical analysis of the relation between the
  models' predictions and the behavioural data.
Participants


Two groups of 16
Students of musicology and music education
at the University of Jyväskylä
Stimuli
A. Piano music (Keith Jarrett)
      50 x 5 seconds
B. Drone music (Jim O’Rourke, Phill Niblock)
      50 x 5 seconds
C. Synthesized chords
      20 x 3 seconds
Procedure
Each stimulus is rated on a scale from
1 (consonant) to 7 (dissonant).
Group 1
  First stimuli A, then stimuli B or vice versa
Group 2
  Stimuli A and B mixed, then stimuli C
Calculating Sensory
     Dissonance
Models implemented in Matlab
   Sethares' (1999) and Vassilakis' (2001)
   curve-mapping models in the MIRtoolbox
   at the Finnish Centre of Excellence in Interdisciplinary Music
   Research, University of Jyväskylä

   Leman's (2000) auditory model in the
   IPEMtoolbox
   at the Institute for Psychoacoustics and Electronic Music research
   center of the Department of Musicology at the Ghent University
Calculating Sensory
      Dissonance


5 seconds of audio
Calculating Sensory
      Dissonance


50 ms frame
Calculating Sensory
      Dissonance

Spectrum of the
50 ms frame
Calculating Sensory
      Dissonance


Peak-picking
Calculating Sensory
      Dissonance

Roughness of
each frame
Calculating Sensory
      Dissonance


Mean roughness
Correlation between
predictions and ratings
                Chords
                r = 0.7663
                p < 0.01
Correlation between
predictions and ratings
                Drone
                r = 0.5790
                p < 0.01
Correlation between
predictions and ratings
                Piano
                r = 0.2708
                p > 0.05
Some Conclusions
Curve-mapping models can predict the
perceived dissonance reasonably well for…
! …isolated chords.
! …drone music.
Difficulties with piano music. Why?
   Non-sensory aspects affect the ratings?
   Sharp attacks cause the models to detect
   erratic dissonance peaks?
References
•   Leman, M. 2000. Visualization and Calculation of the Roughness of
    Acoustical Musical Signals Using the Synchronization Index Model
    (SIM). Proceedings of the COST G-6 Conference on Digital Audio
    Effects. Retrieved from: http://profs.sci.univr.it/~dafx/Final-Papers/
    pdf/Leman_DAFXFinalPaper.pdf

•   Plomp, R. & Levelt, W. J. M. 1965. Tonal Consonance and Critical
    Bandwidth. Journal of the Acoustical Society of America, 38, 548-560.

•   Sethares, W. 1999. Tuning, Timbre, Spectrum, Scale. Berlin,
    Heidelberg, New York: Springer-Verlag.

•   Vassilakis, P. N. 2001. Perceptual and Physical Properties of Amplitude
    Fluctuation and their Musical Significance. Los Angeles: University of
    California. Doctoral dissertation.

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Tervo: Sensory Dissonance Models

  • 1. Sensory Dissonance Models Tuukka Tervo - Colloquium 29.10.2009
  • 2. Sensory Dissonance Models There are two aspects of dissonance perception 1. learned or top-down or contextual 2. innate or bottom-up or sensory
  • 3. Sensory Dissonance Models Sensory dissonance is explained in terms of • Physical properties of sound • Physiological properties of the auditory system
  • 4. Sensory Dissonance Models Computer programs that… …simulate the sensory process of dissonance perception. …give an estimate of the degree of perceived dissonance of a given sound.
  • 5. Sensory Dissonance Models Two types • Auditory models • Curve-mapping models
  • 6. Sensory Dissonance Models Auditory models • Based on models of the auditory periphery • e.g. Leman (2000)
  • 7. Sensory Dissonance Models Curve-mapping models • Based on empirical data from Plomp and Levelt (1965) • e.g. Sethares (1999), Vassilakis (2001)
  • 8. Curve-mapping Models From Plomp & Levelt 1965 Sensory dissonance of a sine tone pair as a function of frequency difference on a critical bandwidth scale
  • 9. Sensory Dissonance Models Why try to model sensory dissonance perception? • To gain better understanding about its contribution to the organisation of music. • May be useful for MIR tasks. • May be useful for studies of higher-level processing of music, e.g. music-induced emotions.
  • 10. Research Question Can the models of sensory dissonance predict the perceived degree of dissonance of music?
  • 11. Method ! Listening experiment to gather behavioural data on dissonance perception. ! Simulating sensory dissonance processing using various models. ! Statistical analysis of the relation between the models' predictions and the behavioural data.
  • 12. Participants Two groups of 16 Students of musicology and music education at the University of Jyväskylä
  • 13. Stimuli A. Piano music (Keith Jarrett) 50 x 5 seconds B. Drone music (Jim O’Rourke, Phill Niblock) 50 x 5 seconds C. Synthesized chords 20 x 3 seconds
  • 14. Procedure Each stimulus is rated on a scale from 1 (consonant) to 7 (dissonant). Group 1 First stimuli A, then stimuli B or vice versa Group 2 Stimuli A and B mixed, then stimuli C
  • 15. Calculating Sensory Dissonance Models implemented in Matlab Sethares' (1999) and Vassilakis' (2001) curve-mapping models in the MIRtoolbox at the Finnish Centre of Excellence in Interdisciplinary Music Research, University of Jyväskylä Leman's (2000) auditory model in the IPEMtoolbox at the Institute for Psychoacoustics and Electronic Music research center of the Department of Musicology at the Ghent University
  • 16. Calculating Sensory Dissonance 5 seconds of audio
  • 17. Calculating Sensory Dissonance 50 ms frame
  • 18. Calculating Sensory Dissonance Spectrum of the 50 ms frame
  • 19. Calculating Sensory Dissonance Peak-picking
  • 20. Calculating Sensory Dissonance Roughness of each frame
  • 21. Calculating Sensory Dissonance Mean roughness
  • 22. Correlation between predictions and ratings Chords r = 0.7663 p < 0.01
  • 23. Correlation between predictions and ratings Drone r = 0.5790 p < 0.01
  • 24. Correlation between predictions and ratings Piano r = 0.2708 p > 0.05
  • 25. Some Conclusions Curve-mapping models can predict the perceived dissonance reasonably well for… ! …isolated chords. ! …drone music. Difficulties with piano music. Why? Non-sensory aspects affect the ratings? Sharp attacks cause the models to detect erratic dissonance peaks?
  • 26. References • Leman, M. 2000. Visualization and Calculation of the Roughness of Acoustical Musical Signals Using the Synchronization Index Model (SIM). Proceedings of the COST G-6 Conference on Digital Audio Effects. Retrieved from: http://profs.sci.univr.it/~dafx/Final-Papers/ pdf/Leman_DAFXFinalPaper.pdf • Plomp, R. & Levelt, W. J. M. 1965. Tonal Consonance and Critical Bandwidth. Journal of the Acoustical Society of America, 38, 548-560. • Sethares, W. 1999. Tuning, Timbre, Spectrum, Scale. Berlin, Heidelberg, New York: Springer-Verlag. • Vassilakis, P. N. 2001. Perceptual and Physical Properties of Amplitude Fluctuation and their Musical Significance. Los Angeles: University of California. Doctoral dissertation.