Non-coinciding Sequences
2011; Oxford University Press; Volume: 33; Issue: 2 Linguagem: Inglês
10.1525/mts.2011.33.2.124
ISSN1533-8339
Autores Tópico(s)Computability, Logic, AI Algorithms
ResumoThis study considers a largely overlooked phenomenon in tonal music, the simultaneous pairing of two melodic sequences having different intervals of transposition; I term this phenomenon a non-coinciding sequence (in contrast to the more common coinciding sequence). In this essay I develop a typology of non-coinciding sequences and scrutinize numerous examples of them in art and popular genres. Extending Allen Forte's linear intervallic pattern, which models coinciding sequences, I group non-coinciding sequences by their configuration, an ordered list of their harmonic intervals, e.g., . Configurations that permute (with certain restrictions) the same set of harmonic intervals belong to a single configuration class. I consider excerpts from the music of Rick Astley, Beethoven, Brahms, Chopin, Dvořák, Billy Joel, Nelly, Johann Strauss, Jr., Gwen Stefani, and Wagner to demonstrate the interaction of non-coinciding sequences with coinciding sequences and to identify suggestive connections between non-coinciding sequences and double counterpoint.
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