Process Modeling and Emotional Response Simulation of Musical Tension Evolution

Main Article Content

K. X. Huang

Abstract

Modeling the dynamic relationship between musical tension and emotional response remains challenging because existing approaches typically treat tension prediction and emotion recognition as independent tasks. This study proposes a process-oriented computational framework that integrates cognitive expectation with continuous emotional response simulation through hierarchical signal modeling and dynamic coupling mechanisms. A twelve-dimensional tension descriptor is extracted from symbolic scores and audio signals, while a Transformer-XL-enhanced IDyOM model estimates note-level surprise to characterize expectation violations. The resulting features are recursively encoded by a gated recurrent unit with expectation-aware modulation to generate continuous tension trajectories. Furthermore, a conditional variational autoencoder models listener-specific cognitive sensitivity, and a differential-equation-based coupling mechanism links tension evolution with arousal and valence dynamics to establish a closed-loop perception–expectation–response simulator. Experimental results demonstrate a peak localization error of 0.42 s, an arousal tracking RMSE of 0.152, a valence tracking RMSE of 0.176, and statistically significant causal effects of expectation modulation on simulation accuracy. The proposed framework provides an effective strategy for temporal signal fusion, dynamic state estimation, and adaptive response modeling, offering valuable references for intelligent audio signal processing, multimodal information perception, and computational sensing systems in electromagnetic signal analysis and next-generation interactive media applications.

Downloads

Download data is not yet available.

Article Details

How to Cite
Huang, K. X. (2026). Process Modeling and Emotional Response Simulation of Musical Tension Evolution. Advanced Electromagnetics, 15(3), 4104–4113. https://doi.org/10.7716/aem.v15i3.3475
Section
Research Articles

References

P. Kern, M. Heilbron, F. P. de Lange, and E. Spaak, “Cortical activity during naturalistic music listening reflects short-range predictions based on long-term experience,” elife, vol. 11, no. 1, Art. no. e80935, 2022, doi: 10.7554/eLife.80935.

View Article

X. Wang, L. Wang, and L. Xie, “Comparison and analysis of acoustic features of Western and Chinese classical music emotion recognition based on VA model,” Applied Sciences, vol. 12, no. 12, pp. 5787-5799, 2022, doi: 10.3390/app12125787.

View Article

V. K. M. Cheung, P. M. C. Harrison, S. Koelsch, M. T. Pearce, A. D. Friederici, and L. Meyer, “Cognitive and sensory expectations independently shape musical expectancy and pleasure,” Philosophical Transactions of the Royal Society B: Biological Sciences, vol. 379, no. 1895, pp. 1-16, 2024, doi: 10.31234/osf.io/z76hg_v1.

View Article

N. Singer, N. Jacoby, T. Hendler, and R. Granot, “Feeling the beat: Temporal predictability is associated with ongoing changes in music-induced pleasantness,” Journal of Cognition, vol. 6, no. 1, pp. 34-51, 2023, doi: 10.5334/joc.286.

View Article

N. Zhang, L. Sun, Q. Wu, and Y. Yang, “Tension experience induced by tonal and melodic shift at music phrase boundaries,” Scientific Reports, vol. 12, no. 1, pp. 8304-8315, 2022, doi: 10.1038/s41598-022-11949-4.

View Article

K. Basi´nski, D. R. Quiroga-Martinez, and P. Vuust, “Temporal hierarchies in the predictive processing of melody-From pure tones to songs,” Neuroscience & Biobehavioral Reviews, vol. 145, no. 1, pp. 105007-105023, 2023, doi: 10.31234/osf.io/nua2j.

View Article

A. S. Turrell, A. R. Halpern, K. Bannister, D. Chai-Wi-Ting, and A. H. Javadi, “Building the anticipation: How variation in tension mediates emotions in music,” Music Perception: An Interdisciplinary Journal, vol. 42, no. 3, pp. 256-268, 2025, doi: 10.1525/mp.2024.aa004.

View Article

Y. Shang, Q. Peng, Z. Wu, and Y. Liu, “Music-induced emotion flow modeling by ENMI Network,” PLoS One, vol. 19, no. 10, Art. no. e0297712, 2024, doi: 10.1371/journal.pone.0297712.

View Article

S. You, L. Sun, and Y. Yang, “The effects of contextual certainty on tension induction and resolution,” Cognitive Neurodynamics, vol. 17, no. 1, pp. 191-201, 2023, doi: 10.1007/s11571-022-09810-5.

View Article

T. Daikoku, M. Tanaka, and S. Yamawaki, “Bodily maps of uncertainty and surprise in musical chord progression and the underlying emotional response,” Iscience, vol. 27, no. 4, pp. 109498-109510, 2024, doi: 10.1016/j.isci.2024.109498.

View Article

A. V. Barchet, J. M. Rimmele, and C. Pelofi, “TenseMusic: An automatic prediction model for musical tension,” Plos one, vol. 19, no. 1, Art. no. e0296385, 2024, doi: 10.31234/osf.io/xck3w.

View Article

G. Marion, F. Gao, B. P. Gold, G. M. Di Liberto, and S. Shamma, “IDyOMpy: A new Python-based model for the statistical analysis of musical expectations,” Journal of Neuroscience Methods, vol. 415, no. 1, Art. no. 110347, 2025, doi: 10.1016/j.jneumeth.2024.110347.

View Article

X. Guan, Z. Ren, and C. Pelofi, “py2lispIDyOM: A Python package for the information dynamics of music (IDyOM) model,” Journal of Open Source Software, vol. 7, no. 79, pp. 4738-4753, 2022, doi: 10.21105/joss.04738.

View Article

R. Orjesek, R. Jarina, and M. Chmulik, “End-to-end music emotion variation detection using iteratively reconstructed deep features,” Multimedia Tools and Applications, vol. 81, no. 4, pp. 5017-5031, 2022, doi: 10.1007/s11042-021-11584-7.

View Article

P. Bodily and D. Ventura, “Steerable music generation which satisfies long-range dependency constraints,” Transactions of the International Society for Music Information Retrieval, vol. 5, no. 1, pp. 71-86, 2022, doi: 10.5334/tismir.97.

View Article

M. R. Bjare, S. Lattner, and G. Widmer, “Differentiable short-term models for efficient online learning and prediction in monophonic music,” Transactions of the International Society for Music Information Retrieval, vol. 5, no. 1, pp. 190-206, 2022, doi: 10.5334/tismir.123.

View Article

M. Alfaro-Contreras, J. J. Valero-Mas, J. M. Iñesta, and J. Calvo-Zaragoza, “Late multimodal fusion for image and audio music transcription,” Expert Systems with Applications, vol. 216, no. 1, Art. no. 119491, 2023, doi: 10.1016/j.eswa.2022.119491.

View Article

W. Yu, “Music source feature extraction based on improved attention mechanism and phase feature,” Systems and Soft Computing, vol. 6, no. 1, Art. no. 200149, 2024, doi: 10.1016/j.sasc.2024.200149.

View Article

M. Navarro-Cáceres, M. Caetano, G. Bernardes, M. Sánchez-Barba, and J. Merchán Sánchez-Jara, “A computational model of tonal tension profile of chord progressions in the tonal interval space,” Entropy, vol. 22, no. 11, pp. 1291-1302, 2020, doi: 10.3390/e22111291.

View Article

F. Zhu, C. Wu, Q. Huang, N. Zhu, and T. Leng, “Rhythm-Based Attention Analysis: A Comprehensive Model for Music Hierarchy,” Applied Sciences, vol. 15, no. 11, pp. 6139-6152, 2025, doi: 10.3390/app15116139.

View Article

M. S. M. Mendjel, S. Ghazi, A. Dib, and H. Seridi, “A new audio approach based on user preferences analysis to enhance music recommendations,” Revue d’Intelligence Artificielle, vol. 37, no. 5, pp. 1341-1349, 2023, doi: 10.18280/ria.370527.

View Article

N. He and S. Ferguson, “Music emotion recognition based on segment-level two-stage learning,” International Journal of Multimedia Information Retrieval, vol. 11, no. 3, pp. 383-394, 2022, doi: 10.1007/s13735-022-00230-z.

View Article

A. J. Milne, E. A. Smit, H. S. Sarvasy, and R. T. Dean, “Evidence for a universal association of auditory roughness with musical stability,” PLoS One, vol. 18, no. 9, Art. no. e0291642, 2023, doi: 10.1371/journal.pone.0291642.

View Article

R. Marjieh, P. M. C. Harrison, H. Lee, F. Deligiannaki, and N. Jacoby, “Timbral effects on consonance disentangle psychoacoustic mechanisms and suggest perceptual origins for musical scales,” Nature Communications, vol. 15, no. 1, pp. 1482-1501, 2024, doi: 10.1038/s41467-024-45812-z.

View Article

V. Etxebarria, “Dissonance, Sound Spectrum and Musical Scale for Ancient Idiophones and Aerophones,” Journal of Mathematics and Music, vol. 1, no. 1, pp. 1-15, 2025, doi: 10.1080/17459737.2025.2560922.

View Article

J. Min, Z. Gao, and L. Wang, “Application and research of music generation system based on cvae and Transformer-XL in video background music,” IEEE Transactions on Industrial Informatics, vol. 21, no. 2, pp. 1409-1418, 2024, doi: 10.1109/TII.2024.3477561.

View Article

J. Liang, “Harmonizing minds and machines: survey on transformative power of machine learning in music,” Frontiers in Neurorobotics, vol. 17, no. 1, Art. no. 1267561, 2023, doi: 10.3389/fnbot.2023.1267561.

View Article

Y. Liang, H. Abudukelimu, J. Chen, A. Abulizi, and W. Guo, “MAML-XL: a symbolic music generation method based on meta-learning and Transformer-XL: Y,” Liang et al. Multimedia Systems, vol. 31, no. 3, pp. 206-225, 2025, doi: 10.1007/s00530-025-01803-8.

View Article

Z. Li, Q. Huang, X. Yang, Q. Chen, and L. Zhang, “Automatic composition system based on transformer-xl,” Applied Sciences, vol. 14, no. 13, pp. 5765-5776, 2024, doi: 10.3390/app14135765.

View Article

Y. Zhang, M. Li, and S. Pan, “Deep learning-based emotion recognition algorithms in music performance,” Scalable Computing: Practice and Experience, vol. 25, no. 6, pp. 4712-4719, 2024, doi: 10.12694/scpe.v25i6.3286.

View Article

N. B. Maimon, D. Lamy, and Z. Eitan, “Do Picardy thirds smile? Tonal hierarchy and tonal valence: Explicit and implicit measures,” Music Perception: An Interdisciplinary Journal, vol. 39, no. 5, pp. 443-467, 2022, doi: 10.1525/mp.2022.39.5.443.

View Article

S. Ji and X. Yang, “EmoMusicTV: Emotion-conditioned symbolic music generation with hierarchical transformer VAE,” IEEE Transactions on Multimedia, vol. 26, no. 1, pp. 1076-1088, 2023, doi: 10.1109/tmm.2023.3276177.

View Article

L. Comanducci, D. Gioiosa, M. Zanoni, F. Antonacci, and A. Sarti, “Variational Autoencoders for chord sequence generation conditioned on Western harmonic music complexity,” EURASIP Journal on Audio, Speech, and Music Processing, vol. 2023, no. 1, pp. 24-35, 2023, doi: 10.1186/s13636-023-00288-5.

View Article

Y. Xin, “MusicEmo: transformer-based intelligent approach towards music emotion generation and recognition,” Journal of Ambient Intelligence and Humanized Computing, vol. 15, no. 8, pp. 3107-3117, 2024, doi: 10.1007/s12652-024-04811-0.

View Article

S. L. Wu and Y. H. Yang, “MuseMorphose: Full-song and fine-grained piano music style transfer with one transformer VAE,” IEEE/ACM Transactions on Audio, Speech, and Language Processing, vol. 31, no. 1, pp. 1953-1967, 2023, doi: 10.1109/TASLP.2023.3270726.

View Article

Similar Articles

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 > >> 

You may also start an advanced similarity search for this article.