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

929-936


DOI

Article

The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations

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Authors

Jingjing Guo Affiliation:
School of Music and Film, Tianjin Normal University 300387 China


Abstract

Based on the theory of ordinary differential equations, this paper proposes a stable and discriminative method for piano tone tuning. We perform discriminative training on the hidden Markov tone model according to ordinary differential equations’ feature extraction parameters and model parameters. The model can improve the recognition rate of piano tones. This paper trains and tests the MAPS universal dataset for musical transcription of automatic piano tones. The model is uniformly trained on the synthetic part and tested on the real recording part. The experimental study found that the proposed model has high recognition stability and accuracy in piano tone recognition.


Keywords

Ordinary differential equation, Piano tone, Tuning, stability, 35A24


Citation

Guo, J. (2022). The stability model of piano tone tuning based on ordinary differential equations. Applied Mathematics and Nonlinear Sciences, 7(2), 929–936. https://doi.org/10.2478/amns.2022.2.0079

Published by: Engineering Journals

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