A Markov model for chorale harmonization in the style of J.S. Bach

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2002

Author

Bıyıkoğlu, Kaan M

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Developing algorithms for modeling musical intuition is beneficial because such an endeavor enables the testing of our hypothesis about musical intuition on empirical grounds. The present study aims to conduct an empirical investigation of the syntax of harmonic progressions found in the chorales of Johann Sebastian Bach, and to present a model for chorale harmonization. First, some 171 chorales are analyzed to reveal their harmonic progression by using a methodology similar to the time-span reduction as given by Lerdahl and Jackendoff (1983). By virtue of the same analysis, the chorales are segmented according to their harmonies, and these segments are classified according mto their chordal functions (i.e., major-triad, half-diminished- 7th, dominant- 7th, etc.). The obtained harmonic progressions are used for the training of a Markov model and this model is used to generate suitable harmonies for novel melodies. After the harmony is calculated for a novel melody, a pattern matching module is called for the generation of a four-part harmonization by using the previously obtained segments from Bach chorales.

Subject Keywords

Music cognition, Harmony, Algorithmic composition, Markov chains, N-gram models

URI

https://hdl.handle.net/11511/13234

Collections

Graduate School of Informatics, Thesis

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Citation Formats

K. M. Bıyıkoğlu, “A Markov model for chorale harmonization in the style of J.S. Bach,” M.S. - Master of Science, Middle East Technical University, 2002.