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There has been much research into the musical acoustics of the piano,
including models of piano strings
[547,18,75,76,145,42]
and the piano hammer
[496,63,179,60,489,165,490].
Additionally, there has been considerable work to date on the problem
of piano synthesis by digital waveguide methods
[469,523,527,56,42].
A careful computational model of the piano, partially based on
physical modeling and suitable for high-quality real-time sound
synthesis, was developed by Bensa in the context of his thesis work
[42]. Related publications include
[43,45,46].
An excellent simulation of the clavichord, also using the
commuted waveguide synthesis technique, is described in
[505]. A detailed simulation of the
harpsichord, along similar lines, but with some interesting new
variations, may be found in [518].
The 2003 paper of Bank et al. [29] includes good
summaries of prior research on elements of piano modeling such as
efficient computational string models, loss-filter design, dispersion
filter design, and soundboard models. A more recent paper in this
area is [30].
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