Abstract
This paper presents a generalization of the well-known neo-Riemannian group PLR to the classical five types of seventh chord (dominant, minor, half-diminished, major, diminished) considered as tetrachords with a marked root and proving that it is isomorphic to the abstract group S5⋉Z124. This group includes as subgroups the PLR group and several other groups already appeared in the literature.
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CITATION STYLE
Cannas, S., Antonini, S., & Pernazza, L. (2017). On the Group of Transformations of Classical Types of Seventh Chords. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10527 LNAI, pp. 13–25). Springer Verlag. https://doi.org/10.1007/978-3-319-71827-9_2
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