Using Mathematical Tools to Reduce the Combinatorial Explosion During the Automatic Segmentation of the Symbolic Musical Text
Michele Della Ventura · Advances in intelligent systems and computing · 2016
This document is going to focus on the modalities of management of the combinatorial explosion problem deriving from computer-aided music analysis: a major problem, most of all, for those who perform automatic analysis of the musical text considered at a symbolic level, due to the high number of recognizable “musical objects”. While briefly introducing the results of the application of different processing techniques, this article shall discuss the necessity to define a series of procedures meant to reduce the number of final “musical objects” to use in order to identify a melody (or a musical theme), by selecting the ones that do not carry redundant information. Consequently, the results of their application shall be presented in statistic tables, in order to provide information on how to reduce the musical objects to a small number, so as to ensure major precision in the musical analysis.