Abstract
We describe a data representation for voice leading between two sonorities in a chorale texture, and a similarity measure for these voice leadings. These tools are used in an empirical study of the relationship between voice leading and harmonic function in a corpus of Bach chorales and a corpus of Lutheran chorales from a hundred years earlier. Common voice-leading types in the corpora are subjected to a cluster analysis that is readily interpreted in terms of harmonic functional syntax. We are thus able not only to read a theory of harmony directly out of a corpus, but to do so without building in a priori notions of chord structure, rootedness, or even key. The cluster analysis also clarifies important syntactic differences between the pre-tonal (modal) corpus and the Bach (tonal) corpus.
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Quinn, I., Mavromatis, P. (2011). Voice-Leading Prototypes and Harmonic Function in Two Chorale Corpora. In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds) Mathematics and Computation in Music. MCM 2011. Lecture Notes in Computer Science(), vol 6726. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21590-2_18
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DOI: https://doi.org/10.1007/978-3-642-21590-2_18
Publisher Name: Springer, Berlin, Heidelberg
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