Um aplicativo de computador para suporte à análise e à composição musicais utilizando a teoria dos conjuntos

Abstract

The main idea of this work is to create an application tool based on mathematical modeling, using computer to support musical analysis. This tool will be developed as part of a future C.A.C software. (Computer Aided Composition) in order to provide assistance to the composer when choosing the musical parameters of his work during the creative process. The analysis tool will offer the composer the musical material in a virtual environment available as matrices, tables, and histograms. Using a collection of existing pieces several musical possibilities should be obtained through mathematical operations based on sampled material. From the original matrices – mapped based on the Sets Theory developed by Allen Forte (1973) in his “The Structure of Atonal Music. – sampled material shall be captured in the sample universe and generates, as Referential Matrices, musical suggestions for the work in the process of music creation. The Sampling data will be obtained from computer music files and several mathematical procedures shall be done to obtain the final product. This dissertation will cover the specifications of the input and output data, the formatting process of matrices and graphs, and a complete description of the procedures to develop the programming code. Examples of several musical analysis results obtained from some chosen pieces, covering different styles and periods, will be presented at the end of this work. Added in annexes, were notes about Set Theory and information regarding the structure and handling of musical files in MIDI format used in computers platforms, to help in theoretical and technical issues. In addition, the attachments also include part of the program in programming language as references.