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Piano acoustics

Piano acoustics is the set of physical properties of the piano that affect its sound. It is an area of study within musical acoustics.

Multiple strings[edit]

All but the lowest notes of a piano have multiple strings tuned to the same frequency. The notes with two strings are called bichords, and those with three strings are called trichords. These allow the piano to have a loud attack with a fast decay but a long sustain in the attack-decay-sustain-release (ADSR) system.


The trichords create a coupled oscillator with three normal modes (with two polarizations each). Since the strings are only weakly coupled, the normal modes have imperceptibly different frequencies. But they transfer their vibrational energy to the sounding board at significantly different rates.


The normal mode in which the three strings oscillate together is most efficient at transferring energy since all three strings pull in the same direction at the same time. It sounds loud, but decays quickly. This normal mode is responsible for the rapid staccato "Attack" part of the note.


In the other two normal modes, strings do not all pull together, e.g., one pulls up while the other two pull down. There is a slow transfer of energy to the sounding board, generating a soft but near-constant sustain.[4]

Electronic tuner

Inharmonicity

Ortiz-Berenguer, Luis I., F. Javier Casajús-Quirós, Marisol Torres-Guijarro, J.A. Beracoechea. Piano Transcription Using Pattern Recognition: Aspects On Parameter Extraction: Proceeds of , Naples, October 2004.

The International Conference on Digital Audio Effects

Railsback, O. L. (1938). "Scale Temperament as Applied to Piano Tuning". The Journal of the Acoustical Society of America. 9 (3): 274. :1938ASAJ....9..274R. doi:10.1121/1.1902056.

Bibcode

Sundberg, Johan (1991). The Science of Musical Sounds. San Diego: Academic Press.  0-12-676948-6.

ISBN

Weinreich, G. (1977). "Coupled piano strings". The Journal of the Acoustical Society of America. 62 (6): 1474. :1977ASAJ...62.1474W. doi:10.1121/1.381677.

Bibcode

Giordano, Nicholas J. Sr (2010). Physics of the Piano. Oxford: Oxford University Press.  978-0-19-878914-7.

ISBN

Five lectures on the acoustics of the piano

A. H. Benade

Sound Production in Pianos

Robert W. Young, ' The Journal of the Acoustical Society of America, vol 24 no. 3 (May 1952)

Inharmonicity of Plain Wire Piano Strings

"The Engineering of Concert Grand Pianos" by Richard Dain, FRENG

D. Clausen, B. Hughes and W. Stuart

"A design analysis of a Stuart and Sons grand piano frame"