Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

1211-1220


DOI

Article

Model System Study of Accordion Score Based on Fractional Differential Equations

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Authors

Yiru Liu Affiliation:
Art College, Shandong University (Weihai), Weihai, 264209, China


Abstract

The melody feature mining of accordion scores is a relatively unpopular research topic. We discuss music’s harmony configuration, chord configuration, and accompaniment configuration based on fractional differential equations. The algorithm builds a model for automatically generating pitch-melody meta-translation tables. At the same time, the automation of essential data acquisition is realized. The study found that when we input a long sequence of pitch values, the excavated melody line The experimental results show that the accordion score of a fractional differential equation can improve the logical rigor and beauty of the melody compared with the Markov composition method.


Keywords

Fractional differential equation, Accordion score, Characteristic melody mining, Markov chain, 34A08


Citation

Liu, Y. (2022). Model system study of accordion score based on fractional differential equations. Applied Mathematics and Nonlinear Sciences, 7(2), 1211–1220. https://doi.org/10.2478/amns.2022.2.0108

Published by: Engineering Journals

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