Round Table: The Golden Ratio and other harmony options in academic music
Lev Alekseevich Brodsky1, Julia Anatolyevna Brodskaya2; 1 Lyceum of Mathematics and Computer Science, Saratov; Russia;2 Gagarin's State Technical University of Saratov; Saratov;Russia
Abstract
The paper considers mathematical approaches for the study of musical compositions and suggests their software implementation in the high-level programming language Python. The finding of the golden proportion in music and some variants of harmony (pentatonic, chromatic, Mixolydian fret) are considered. The works of modern composers such as Alfred Schnittke, Sofia Gubaidulina, Pascal Dusapin are analyzed and the finding of the golden ratio and the indicated harmony variants is demonstrated using the example of compositions by these authors. The software implementation of finding harmony in musical compositions will be useful for using them in the educational process at music colleges and conservatories, as well as in institutions of additional education when studying the disciplines of music theory.
Speaker
Lev A. Brodsky
Lyceum of Mathematics and Computer Science
Russia
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