Abstract
Jonathan Bernard’s trichordal folding operations relate trichords with a maximum of shared interval content. This paper generalizes this to any cardinality of chord, focusing on the case of tetrachordal folding. A tetrachordal folding holds one trichordal subset fixed and inverts another around a shared dyad, so that the two tetrachords share five interval classes and two trichordal subsets. These operations generalize naturally from pitch space to pitch-class space and to set classes. The last section of the paper demonstrates the analytical application of tetrachordal folding networks on Morton Feldman’s “For Stephan Wolpe.”
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Yust, J. (2022). Tetrachordal Folding Operations. In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science(), vol 13267. Springer, Cham. https://doi.org/10.1007/978-3-031-07015-0_24
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DOI: https://doi.org/10.1007/978-3-031-07015-0_24
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