RT Journal Article
T1 From Dürer's Magic Square to Klumpenhouwer Tesseracts: On Melencolia (2013) by Philippe Manoury
A1 Besada Portas, José Luis
A1 Guichaoua, Corentin
A1 Andreatta, Moreno
AB Many Western art music composers have taken advantage of tabulated data for nourishing their creative practices, particularly since the early twentieth century. The arrival of atonality and serial techniques was crucial to this shift. Among the authors dealing with these kinds of tables, some have considered the singular mathematical properties of magic squares. This paper focuses on a particular case study in this sense: Philippe Manoury's Third String Quartet, entitled Melencolia. We mainly analyse mainly several strategies conceived by the French composer – through his own sketches – in order to manipulate pitches and pitch-classes over time. For that purpose, we take advantage of Klumpenhouwer networks as a way to settle wide and dense isographic relationships. Our hyper-K-nets sometimes reach a total of 32 arrows that allow geometrical arrangements as tesseracts in which their different dimensions cluster related families of isographies. In doing so, we aim to provide an instructive example of how to contextualise K-nets and isographies as powerful tools for the analysis of compositional practices.
PB Wiley
SN 0262-5245
YR 2022
FD 2022-05-13
LK https://hdl.handle.net/20.500.14352/71908
UL https://hdl.handle.net/20.500.14352/71908
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2021)
NO Unión Europea. Horizonte 2020
NO Comunidad de Madrid
DS Docta Complutense
RD 24 abr 2025