Harmonizing music the Boltzmann way

M.I. Bellgard; C.P. Tsang

doi:10.1080/09540099408915727

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Journal article

Peer reviewed

Harmonizing music the Boltzmann way

M.I. Bellgard and C.P. Tsang

Connection Science, Vol.6(2-3), pp.281-297

1994

DOI: https://doi.org/10.1080/09540099408915727

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Abstract

Music harmonization has long been recognized as a highly intellectual process. Musicologists have studied music pieces by great composers and formulated a number of symbolic rules. However, these rules usually form only a set of heuristics and may not be absolutely precise. In this paper, we demonstrate how to train a Boltzmann machine to capture these syntactic rules and use it to construct an effective Boltzmann machine (EBM) to harmonize some unseen pieces. We have also incorporated ways to apply absolute constraints to the completion process. Our experiments demonstrate that using an EBM, ‘good’ harmonies can be non-deterministically synthesized along with a relative measure of their quality.

Details

Title: Harmonizing music the Boltzmann way
Authors/Creators: M.I. Bellgard (Author/Creator)
C.P. Tsang (Author/Creator)
Publication Details: Connection Science, Vol.6(2-3), pp.281-297
Publisher: Taylor and Francis
Identifiers: 991005542110307891
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Journal article

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