- The simplest piano-string vibration regime is characterized by
linear superposition in which transverse and longitudinal
waves decouple into separate modes, as implied by
Eq.(9.30). In this case, transverse and longitudinal waves can
be simulated in separate digital waveguides (Ch. 6).
The longitudinal waveguide is of course an order of magnitude
shorter than the transverse waveguide(s).
- As dynamic playing level is increased,
transverse-to-longitudinal coupling becomes audible
- At very high dynamic levels, the model should also include
longitudinal-to-transverse coupling. However, this is usually
Efficient Waveguide Synthesis of Nonlinear Piano Strings
Nonlinear Piano-String Synthesis