Music, mathematics, computer science. A comprehensive model of semantic space of music. Monograph

The development of a mathematical apparatus corresponding to the fundamental laws of music is in modern science one of the urgent problems, and the authors use the methodology of modern mathematics (the theory of plots, the theory of probability, theory of groups, etc) Various aspects of the comprehensive model of the semantic space of music developed by the authors are represented by the articles, this model is based on the experience of a number of studies carried out in the direction of theoretical music and related scientific disciplines. applicable in various fields of musical and practical activity, including the development of intellectual systems for the analysis and modeling of the process of musical creativity, including the creation of specialized software (patents of one of the authors of this book, S. V. Chibirov: “The algorithmic model of the composition process musical fragments in MIDI format ”,“ algorithms of thin tone tuning for a polyphonic musical MIDI input controller ”, etc), which opens up the prospects for the computerized recognition of the authorship of the musical text according to its typical features (the style of any author, era, etc)