Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles

Making sense of a musical excerpt is an acquired skill that depends on previous musical experience. Having acquired familiarity with different types of chords, a listener can distinguish tones in a musical texture that outline these chords (i.e., chord tones) from ornamental tones such as neighbor o...

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Main Authors: Christoph Finkensiep, Petter Ericson, Sebasian Klassmann, Martin Rohrmeier
Format: Article
Language:English
Published: SAGE Publishing 2025-01-01
Series:Music & Science
Online Access:https://doi.org/10.1177/20592043241291661
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author Christoph Finkensiep
Petter Ericson
Sebasian Klassmann
Martin Rohrmeier
author_facet Christoph Finkensiep
Petter Ericson
Sebasian Klassmann
Martin Rohrmeier
author_sort Christoph Finkensiep
collection DOAJ
description Making sense of a musical excerpt is an acquired skill that depends on previous musical experience. Having acquired familiarity with different types of chords, a listener can distinguish tones in a musical texture that outline these chords (i.e., chord tones) from ornamental tones such as neighbor or passing notes that elaborate the chord tones. However, music-theoretical definitions of chord types usually only mention chord tones, excluding typical figurations. The aim of this project is to investigate (i) how knowledge about (chord-specific) figurations can be incorporated into characterizations of chord types and (ii) how these characterizations can be acquired by the listener. To this end, we develop a computational model of chord types that distinguishes chord tones and “figuration tones” and can be learned using Bayesian inference following methods in computational cognitive science. This model is trained on two datasets using Bayesian variational inference, comprising scores of Western classical and popular music, respectively, and containing harmonic annotations as well as heuristically determined note-type labels. We find that the proposed characterization of chords is indeed learnable and the specific inferred profiles match previous music-theoretic accounts. In addition, we can observe patterns in the use of figuration, such as the distribution of figuration tones being related to the diatonic contexts in which chords appear and chord types differing in their predisposition to generate non-chord tones. Moreover, the differences in figuration distributions between the two corpora indicate style-specific peculiarities in the role and usage of figurations. The different patterns of typical figuration tones for specific chord types indicate that harmony and figuration are not independent.
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spelling doaj-art-50747997c7234d6fa9c1af79086f02162025-01-20T06:03:25ZengSAGE PublishingMusic & Science2059-20432025-01-01810.1177/20592043241291661Chord Types and Figuration: A Bayesian Learning Model of Extended Chord ProfilesChristoph Finkensiep0Petter Ericson1Sebasian Klassmann2Martin Rohrmeier3 Music Cognition Group, , The Netherlands Research Group for Responsible AI, , Sweden Institute of Musicology, , Germany Digital and Cognitive Musicology Lab, , SwitzerlandMaking sense of a musical excerpt is an acquired skill that depends on previous musical experience. Having acquired familiarity with different types of chords, a listener can distinguish tones in a musical texture that outline these chords (i.e., chord tones) from ornamental tones such as neighbor or passing notes that elaborate the chord tones. However, music-theoretical definitions of chord types usually only mention chord tones, excluding typical figurations. The aim of this project is to investigate (i) how knowledge about (chord-specific) figurations can be incorporated into characterizations of chord types and (ii) how these characterizations can be acquired by the listener. To this end, we develop a computational model of chord types that distinguishes chord tones and “figuration tones” and can be learned using Bayesian inference following methods in computational cognitive science. This model is trained on two datasets using Bayesian variational inference, comprising scores of Western classical and popular music, respectively, and containing harmonic annotations as well as heuristically determined note-type labels. We find that the proposed characterization of chords is indeed learnable and the specific inferred profiles match previous music-theoretic accounts. In addition, we can observe patterns in the use of figuration, such as the distribution of figuration tones being related to the diatonic contexts in which chords appear and chord types differing in their predisposition to generate non-chord tones. Moreover, the differences in figuration distributions between the two corpora indicate style-specific peculiarities in the role and usage of figurations. The different patterns of typical figuration tones for specific chord types indicate that harmony and figuration are not independent.https://doi.org/10.1177/20592043241291661
spellingShingle Christoph Finkensiep
Petter Ericson
Sebasian Klassmann
Martin Rohrmeier
Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
Music & Science
title Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
title_full Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
title_fullStr Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
title_full_unstemmed Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
title_short Chord Types and Figuration: A Bayesian Learning Model of Extended Chord Profiles
title_sort chord types and figuration a bayesian learning model of extended chord profiles
url https://doi.org/10.1177/20592043241291661
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AT petterericson chordtypesandfigurationabayesianlearningmodelofextendedchordprofiles
AT sebasianklassmann chordtypesandfigurationabayesianlearningmodelofextendedchordprofiles
AT martinrohrmeier chordtypesandfigurationabayesianlearningmodelofextendedchordprofiles