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   GEOMETRIC MODELING OF J.S.BACH’S MUSICAL EXERCISE, INVENTION IN A MINOR, BWV 784  
   
نویسنده demirbatir rasim erol ,yağci filiz ,ezentaş rıdvan
منبع journal of uludag university faculty of education - 2020 - دوره : 33 - شماره : 2 - صفحه:326 -345
چکیده    Music is an aesthetic whole composed of sounds combined with a certain purpose and method and processed according to a certain understanding of beauty. johann sebastian bach, who lived in the baroque period, was one of the most famous organists. bach's two- and three-voice inventions are mostly educational in purpose. the phenomenon of invention” is hidden in the structural features of each composer's work. this study aims to create a geometric modeling of j.s. bach’s musical exercise, the two part invention in a minör, by mathematical coding. the sound pitches and time values of the selected composition were mathematically coded, and a regression analysis was performed to find the appropriate model. data analysis revealed the geometry modeling of the regression equation. this equation consists of a combination of algebraic, trigonometric, inverse trigonometric and exponential functions.
کلیدواژه J.S.Bach ,music ,mathematics ,mathematical coding ,geometric modeling
آدرس bursa uludağ üniversitesi, turkey, bursa uludağ üniversitesi, turkey, bursa uludağ üniversitesi, turkey
پست الکترونیکی rezentas@uludag.edu.tr
 
     
   
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