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Consortium for Mathematics and its Applications

Product ID: Articles
Supplementary Print

Composing in Bach’s Style Using Mathematical Transformations

Author: Stefan O. Nita, Victor Robila, Joshua Cho, and Bogdan G. Nita

We propose a new method for music composition in the style of Johann Sebastian Bach, using geometrical transformations of the plane. The method consists of analyzing a classical opus, identifying the motif, and mapping the occurrences of this motif and its transformations throughout the original work. Then compose a new musical motif and use this map to create an entirely new piece while preserving the motivic structure and the style of the original composition. We provide an example in both musical notation and audio format.

©2024 by COMAP, Inc.
The UMAP Journal 45.1
16 pages

Mathematics Topics:

Computer Science

Application Areas:

Arts & Music

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