Investigating the Inharmonicity of Piano Strings

Authors

DOI:

https://doi.org/10.2218/esjs.9815

Keywords:

Inharmonicity, Acoustics, String Tuning, Harmonic Frequencies

Abstract

In classical physics, ideal string vibrations are modelled using the harmonic series, yet real mode frequencies deviate from the integer set of harmonics due to string stiffness, known as inharmonicity. This work investigates this phenomenon in five piano strings on a Yamaha GB1 Grand Piano. Using the audio software Audacity for spectral analysis, the inharmonicity coefficient is determined experimentally and theoretically based on string properties. These values are comparable with previous research, offering insights into tuning techniques to minimise dissonant inharmonicity. Possible innovations from inharmonicity research are explored, with suggestions such as the temperature-dependent self-tuning systems for acoustic pianos.

References

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Fletcher, H. ‘Normal Vibration Frequencies of a Stiff Piano String’ The Journal of the Acoustical Society of America 36 1 (1964)

Heetveld, V. and Rasch, R. A. ‘String Inharmonicity and Piano Tuning’ The Journal of the Acoustical Society of America 76 S1 (1984)

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Published

2024-10-24

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Section

Physics and Astronomy