Brazilian Journal of Music and Mathematics

Discrete and Combinatorial Mathematics,Geometry and Mathematics of Continuous Functions Used in Some of my Compositional Projects
MusMat (2016) Vol. 1, No. 1, pp. 102-110

This paper intends to demonstrate the different ways many of my compositional projects used mathematical tools, from the pre-compositional stage through a final product done with sound synthesis. These tools are of diverse nature, depending on the theoretical needs of ...

Contour Algorithms Review
MusMat (2016) Vol. 1, No. 1, pp. 72-85

In this paper, we present some problems of two Music Contour Relations Theory operations algorithms: the Refinement of Contour Reduction Algorithm, which was developed by Rob Schultz, and the Equivalence Contour Class Prime Form algorithm, which was developed by Elizabeth ...

MusMat (2016) Vol. 1, No. 1, pp. 44-57

We survey the all-interval chords of small order and the interval systems in which they are situated. We begin with an examination of traditional all-interval chords in chromatic pitch-class spaces, and extend the notion of their structure to their counterparts ...

Music as a Carbon Language: A Mathematical Analogy and its Interpretation in Biomusicology
MusMat (2016) Vol. 1, No. 1, pp. 25-43

Carbon dynamics influence human physiology, culture and social patterns. Along centuries, linguists had been sufficiently discussed how breathing and cardiovascular performance set preconditions for word segmentation, phrasing, repetition, iteration, variation and expressiveness. Less attention had been paid to this influence ...

Sound Shizuku Composition: a Computer-Aided Composition System for Extended Music Techniques
MusMat (2016) Vol. 1, No. 1, pp. 86-101

We discuss in this paper a new environment for computer aid musical composition which is designed to create works centered on the creative use of instrumental extended techniques. The process is anchored on computational techniques to retrieve musical information via ...

Teaching Atonal and Beat-Class Theory, Modulo Small
MusMat (2016) Vol. 1, No. 1, pp. 15-24

The paper advances a pedagogical program that models small cyclic systems before teaching the twelve-element chromatic system of atonal theory. The central properties, relations and protocols of atonal theory (complementation, inclusion, invariance, transpositional equivalence, set classification and labeling, maximal evenness) ...

Evolutionary Variation Applied to the Composition of CTG, for Woodwind Trio
MusMat (2016) Vol. 1, No. 1

This paper integrates a broad research on musical variation. It specifically addresses an original concept, namely "evolutionary variation" (EV), resulted from an association between Schoenbergian principles of Grundgestalt and developing variation and some ideas from Genetics and Evolutionary Biology. The ...


MusMat is a semiannual publication organized and edited by the MusMat Research Group. The magazine brings together articles, interviews and news on the interaction between music and mathematics in applications in musical analysis and composition.

Publisher MusMat Research Group
Country Brazil
Year started 2016
Indexed 7 articles
Licence Open Access