Mathematical Modeling of Musical Creative Process
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Irina B. Gorbunova, Sergey V. Chibirev
Irina B. Gorbunova
The aim of this study is to work out the formalized approach to mathematical and algorithmic modeling of subject areas that are difficult to formalize, such as creative processes, music or any sort of arts, data sequences of unknown logic, biological and social processes etc. For investigation following methodologies has been chosen: statistical analysis, data structure analysis, analysis of formal expert result evaluation and data screening. Music creative process has been chosen as the subject, since it typical difficult-to-formalize subject area. The authors have developed a method to construct models in subject areas difficult to formalize, applying it to create a model of musical creativity based on the structural analysis of musical texts, the cyclical structuring of statistical data, and the structural analysis of statistical information. This approach allows creating texts that satisfy the previously obtained or manually-provided parameters. This article considers applying mathematical modeling to write music scores. The musical scores in the MIDI (Musical Instrument Digital Interface) format are viewed as abstract text created by analyzing statistical parameters with the subsequent modeling of musical creativity as per the obtained data. The fundamental scientific problem that the research deals with is developing a method to construct models of difficult-to-formalize subject areas that can be represented as abstract texts. This is based on the statistical analysis of texts, the cyclical structuring of statistical data, and structural analysis of statistical information. The specific fundamental task developed within this problem is applying the method to create a model of musical creativity, which allows the research to analyze and synthesize musical texts that satisfy the previously obtained or manually-provided generalized statistical parameters.
Computer modeling, creative process, difficult-to-formalize subject areas, identification, mathematical modeling, music computer technologies, musical text, text analysis, statistical analysis