(English) [New Issue] MusMat Journal Vol. V No. 1
The MusMat Research Group is very pleased to announce the release of the first number of the fifth volume of MusMat • Brazilian Journal of Music and Mathematics. This issue comprises seven exciting papers, that present the results of original and innovative research in the field. The number opens with a work by Robert Peck, where he applies the Power Group Enumeration Theorem to extend the theory of beat-class sets by also considering rhythms with more than one voice. Next, Gideon Effiong shows how quasigroups can be used as a unifying framework to describe musical objects and events, such as chord inversions, n-tone composition charts, and melodic motions. Ciro Visconti then discusses how graph theory can be used to describe all classes of trichords and tetrachords in Neo-Riemannian theory, expanding beyond triads and seventh chords. Francisco Aragão presents an application of Kripke Semantics to identify if a sequence of chords constitutes or not a tonal progression, which can be used to create a software to benefit students that do not have easy access to a harmony teacher. Subsequently, Juan Sebastián Arias-Valero and Emilio Lluis-Puebla develop deep relations and philosophical reflections between Gesture Theory and Category Theory. Next, Silvio Ferraz describes a series of patches in Max/MSP environment tailored to aid musical analysis and composition and exemplifies it with the composition of a piece based on Brahms Op. 119. The issue closes with Daniel Moreira introducing the concept of compositional entropy, which deals with the amount of freedom of a composer when dealing with compositional choices, and such a concept is demonstrated in musical texture.