Article
The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations
Authors
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
J. Guo, “The stability model of piano tone tuning based on ordinary differential equations,” Applied Mathematics and Nonlinear Sciences, vol. 7, no. 2, pp. 929–936, 2022, doi: 10.2478/amns.2022.2.0079.
Guo J. The stability model of piano tone tuning based on ordinary differential equations. Applied Mathematics and Nonlinear Sciences. 2022;7(2):929–936. doi:10.2478/amns.2022.2.0079.
Guo, J. (2022), ‘The stability model of piano tone tuning based on ordinary differential equations’, Applied Mathematics and Nonlinear Sciences, 7(2), pp. 929–936. Available at: https://doi.org/10.2478/amns.2022.2.0079.
Guo, Jingjing. “The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations.” Applied Mathematics and Nonlinear Sciences, vol. 7, no. 2, 2022, pp. 929–936. https://doi.org/10.2478/amns.2022.2.0079.
Guo, Jingjing. “The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations.” Applied Mathematics and Nonlinear Sciences 7, no. 2 (2022): 929–936. https://doi.org/10.2478/amns.2022.2.0079.
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Published by: Engineering Journals


