Комплексная модель семантического пространства музыки: структура и свойства

Abstract

The article examines the complex model of the semantic space of music which developed in music scholarship in the second half of the 20th century as the result of a generalization of theoretic developments connected with the study of the fundamental categories of musical space and time. On the basis of a number of systemological research works relying on the application of an apparatus of present-day mathematics, the authors of the article examine substantial elements which characterize the structural foundation of the model, the unity of its constituent parts and the open character of the entire model as a system. These include the functional dependence between the model’s components, the presence of elements of indeterminacy in its construction and the concrete figurative content, as well as the reflection of the temporal parameters of music on the basis of the processes of simultaneous registry occurring in musical perception. The authors examine in detail such elements of the structure of the complex model of the semantic space of music as the association of dimensions of time, the functional dependence between the associations of dimensions, the variability of the structure of the dimensions and their associations, as well as computer music technologies as an instrument of research of the semantical space of music. The most important tendencies of applying the given apparatus with the participation of computer musical technologies are marked to be the following: modeling of the regularities of the musical creative process, systematization of the musical traditions of the peoples of Russia and the world, research of the synesthetic laws in music, a comprehensive study of the process of music history and its components, as well as the problem range of the gateway of the concrete results of music into other fields of knowledge and into their practical application. Keywords: music and mathematics, computer musical technologies, musical education, semantic space of music, synesthesia, synthesis of the arts, music theory.