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 the problem Faced. In some cases, the project employed discrete and combinatorial mathematics. In other cases, geometry was a useful tool to visualize rhythmic manipulations. Irrational numbers were the basis of a non-conventional tuning proposition. Continuous functions, like "sine", are at the core of digital sound synthesis and, in a particular project, served to the design of a digital filter
De Souza, Rodolfo Coelho (2016) Discrete and Combinatorial Mathematics,Geometry and Mathematics of Continuous Functions Used in Some of my Compositional Projects. In: MusMat: Brazilian Journal of Music and Mathematics, Vol. 1, No. 1, pp. 102-110. Available at https://openmusiclibrary.org/article/813805/.