My discussion of Bach's chorale prelude “Das alte Jahr vergangen ist” centers on its key structure: the hierarchical arrangement of keys in the piece and the relationships between them. In the course of this discussion, I make a number of observations about the nature of key structure and the factors that govern our perception of it. I begin by considering one of Bach's four-part harmonizations of the chorale and then turn to the chorale prelude itself.
David Temperley; Key Structure in “Das alte Jahr vergangen ist”. Journal of Music Theory 1 April 2006; 50 (1): 103–110. doi: https://doi.org/10.1215/00222909-2008-009
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