Discovering Tonal Profiles with Latent Dirichlet Allocation. Moss, F. C. & Rohrmeier, M. Music & Science, jan, 2021.
Paper doi abstract bibtex Music analysis, in particular harmonic analysis, is concerned with the way pitches are organized in pieces of music, and a range of empirical applications have been developed, for example, for chord recognition or key finding. Naturally, these approaches rely on some operationalization of the concepts they aim to investigate. In this study, we take a complementary approach and discover latent tonal structures in an unsupervised manner. We use the topic model Latent Dirichlet Allocation and apply it to a large historical corpus of musical pieces from the Western classical tradition. This method conceives topics as distributions of pitch classes without assuming a priori that they correspond to either chords, keys, or other harmonic phenomena. To illustrate the generative process assumed by the model, we create an artificial corpus with arbitrary parameter settings and compare the sampled pieces to real compositions. The results we obtain by applying the topic model to the musical corpus show that the inferred topics have music-theoretically meaningful interpretations. In particular, topics cover contiguous segments on the line of fifths and mostly correspond to diatonic sets. Moreover, tracing the prominence of topics over the course of music history over [Formula: see text]600 years reflects changes in the ways pitch classes are employed in musical compositions and reveals particularly strong changes at the transition from common-practice to extended tonality in the 19th century.
@Article{ moss.ea2021-discovering,
author = {Moss, Fabian Claude and Rohrmeier, Martin},
year = {2021},
title = {Discovering Tonal Profiles with Latent Dirichlet
Allocation},
abstract = {Music analysis, in particular harmonic analysis, is
concerned with the way pitches are organized in pieces of
music, and a range of empirical applications have been
developed, for example, for chord recognition or key
finding. Naturally, these approaches rely on some
operationalization of the concepts they aim to
investigate. In this study, we take a complementary
approach and discover latent tonal structures in an
unsupervised manner. We use the topic model Latent
Dirichlet Allocation and apply it to a large historical
corpus of musical pieces from the Western classical
tradition. This method conceives topics as distributions
of pitch classes without assuming a priori that they
correspond to either chords, keys, or other harmonic
phenomena. To illustrate the generative process assumed by
the model, we create an artificial corpus with arbitrary
parameter settings and compare the sampled pieces to real
compositions. The results we obtain by applying the topic
model to the musical corpus show that the inferred topics
have music-theoretically meaningful interpretations. In
particular, topics cover contiguous segments on the line
of fifths and mostly correspond to diatonic sets.
Moreover, tracing the prominence of topics over the course
of music history over [Formula: see text]600 years
reflects changes in the ways pitch classes are employed in
musical compositions and reveals particularly strong
changes at the transition from common-practice to extended
tonality in the 19th century.},
doi = {10.1177/20592043211048827},
isbn = {2059204321},
issn = {2059-2043},
journal = {Music & Science},
keywords = {computational musicology,corpus studies,latent dirichlet
allocation,tonal pitch classes,tonality,topic modelling},
mendeley-tags= {computational musicology},
month = {jan},
url = {http://journals.sagepub.com/doi/10.1177/20592043211048827},
volume = {4}
}