The use of natural science research methods in the form of cluster analysis in the field of humanities on the example of the education system of culture and art gives an innovative direction to the development of the entire field of culture. The main significance of this development has an applied character, what contributes to the forming of the innovative potential of the territory and the attractiveness of the region. As a result of the proposed research, a method of cluster analysis of the education system of culture and art is developed, an algorithm for implementing the cognitive-hermeneutical methodology of teaching and approving the principles of self-development of students, as well as the realization of the role of globalization processes are proposed. The method of factor analysis in the application for the cultural sphere was tested. Recommendations, key indicators and author’s methods of development of the higher education system of culture and art are formed, taking into account the specifics of music education.