Perceiving and cognizing the Mathematical Processes in Music Composition in 20th century in 20th century

In this paper there is investigated the problem of music and mathematics interaction that continues in various forms of expression from the Antiquity. It is raised a question of perceiving and cognising the mathematical processes in music. In the 20th century the music turned back to the ob-ject of science (for example, Stravinsky stated for “particu-larity of composer’s thinking differs almost nothing from mathematical thinking”) that concentrated and synthesized the experience of previous periods. The interaction of art of sounds of 20th century and number construct became mis-cellaneous eminently and coexisted as the layer of different numerological traditions. The music of 20th century is aplenty of numerological symbolism of various religions. Also here we may see the world harmony proportions, nu-merical progressions (such as Fibonacci, Lucas), laws of Sectio aurea, confrontation of symmetry-asymmetry in polyrhythmic and polymetric. There shows up a new way of music mathematisation in the compositional practice of music in 20th century also. It is connected to modern mathematical theories and inspires the analysis of new deviation: investigations of algorithmic procedures, recur-sive models, theories of fractals, chaos, probability and Markov chains that are invoked in music creation. Several of these aspects are illustrated by analysis of musical com-positions that are provided in this paper