Concerning Mathematical Methods in Music Research and Preparation of Musicians
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Abstract
The authors analyze the possibilities of examining the logical regularities in music by means of mathematical methods formed for the most part in the 20th century. These methods include basic ideas of such fields of research as set theory, the theory of probabilities and the theory of information, as well as the principles of soft computing, and make it possible to elicit the premises of these scholarly branches in more traditional manifestations of music theory. The authors of the article also touch upon some aspects of application of mathematical approaches to music to the sphere of musical education.
Keywords: mathematics and music, set theory, theory of probabilities, theory of information, soft computing, music theory, musical education
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