Development of a mathematical model of acoustic processes in the Opera Studio of the Kyiv Conservatory

The object of this study is the acoustic characteristics of a concert hall, with a particular focus on the reverberation time, which significantly affects both the perception of sound by listeners and the performance of musicians. The study emphasises the importance of mathematical modelling of acoustic processes in concert halls, especially in optimising reverberation time. In the context of modern materials and advanced acoustic design technologies, precise calculations and analyses are required to evaluate the impact of various elements on a room’s overall acoustics. Poor design or material selection can result in listener discomfort and reduced sound quality, highlighting the critical role of scientific methods in analysing and modelling acoustic processes under specific conditions. The research utilised mathematical models developed in MATLAB® software to calculate reverberation time based on different materials and their surface areas. The key findings demonstrate that mathematical models can accurately simulate acoustic processes in a room, enabling predictions of acoustic characteristics based on defined parameters. The correlation between theoretical calculations and experimental data confirms that mathematical modelling is an effective tool for improving the acoustic quality of concert halls, considering the use of different materials. The practical significance of the results lies in the ability to implement recommendations for optimising acoustic conditions in concert halls. The identified parameters can guide the design of spaces for musical events and enhance methods of acoustic design. Applying these findings in practice can improve sound quality, thereby increasing listener comfort and enhancing the overall perception of music.