| Issue |
Acta Acust.
Volume 9, 2025
|
|
|---|---|---|
| Article Number | 57 | |
| Number of page(s) | 12 | |
| Section | Musical Acoustics | |
| DOI | https://doi.org/10.1051/aacus/2025039 | |
| Published online | 16 September 2025 | |
Scientific Article
Geometric sensitivity of modal parameters in wind instrument models: a case study on saxophone intonation
1
Buffet Crampon, 5 Rue Maurice Berteaux, 78711 Mantes-la-Ville, France
2
Aix Marseille Univ, CNRS, Centrale Med, LMA, Marseille, France
* Corresponding author: nathan.szwarcberg@buffetcrampon.com
Received:
20
June
2025
Accepted:
28
July
2025
The Transfer Matrix Method is a practical approach for modeling plane wave propagation in one-dimensional waveguides. Its simplicity makes it especially attractive for accounting for viscothermal losses, enabling realistic simulations of complex waveguides such as wind instruments. Another strength of this method lies in its fully analytical formulation of wave propagation. Modal parameters naturally arise as by-products of the model, obtained by numerically solving analytical expressions. In this work, the analytical potential of the method is extended by deriving the sensitivity of modal parameters to changes in the geometry of the resonator. These analytical gradients are applied in the context of wind instrument design. A simplified model of a soprano saxophone is used to investigate how octave harmonicity can be optimized through small geometric adjustments. The proposed approach enables predictive adjustments of geometry and offers valuable insight for both sound synthesis and instrument making.
Key words: Modal / Impedance / Sensitivity / Analytic / Saxophone / Optimization
© The Author(s), Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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