A Parametric Model of Piano Tuning

Abstract :

A parametric model of aural tuning of acoustic pianos is presented in this paper. From a few parameters, a whole tessitura model is obtained, that can be applied to any kind of pianos. Because the tuning of piano is strongly linked to the inharmonicity of its strings, a 2-parameter model for the inharmonicity coefficient along the keyboard is introduced. Constrained by piano string design considerations, its estimation requires only a few notes in the bass range. Then, from tuning rules, we propose a 4-parameter model for the fundamental frequency evolution on the whole tessitura, taking into account the model of the inhamonicity coefficient. The global model is applied to 5 different pianos (4 grand pianos and 1 upright piano) to control the quality of the tuning. Besides the generation of tuning reference curves for non-professional tuners, potential applications could include the parametrization of synthesizers, or its use in transcription / source separation algorithm as a physical constraint to increase robustness.

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Submitted on : Monday, September 3, 2012 - 3:26:38 PM
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  • HAL Id : hal-00727395, version 1

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François Rigaud, B. David, Laurent Daudet. A Parametric Model of Piano Tuning. Proc. of the 14th Conf. on Digital Audio Effects (DAFx-11), Sep 2011, Paris, France. pp.393-399. ⟨hal-00727395⟩

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