Abstract
This work presents some concepts related to voice-leadings and proposes a formalization of them. The aim is to teach voice-leadings in a systematic way by using elements of mathematical music theory. Within this formalization, we defined the nabla distance of a chord progression. This distance is a measure of how close the voices are among them. One of its applications is to produce voice-leadings with nice properties, especially for jazz music. The nabla distance has been implemented in the form of an application, the (Formula Presented) application. This application computes the optimal voice-leading for a given chord progression.
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CITATION STYLE
del Pozo, I., & Gómez, F. (2019). Formalization of Voice-Leadings and the Nabla Algorithm. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11502 LNAI, pp. 352–358). Springer Verlag. https://doi.org/10.1007/978-3-030-21392-3_30
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