MUS420 Supplement
Modal Synthesis of a Piano String

Stefan Bilbao and Julius O. Smith III (jos at ccrma)
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Detailed Contents (and Navigation)

• Piano String Modeling
  • Piano String Model, Continued
  
  
• Second-Order Finite Difference Schemes
  • FDS for the Ideal String
  • Time-Space Grid for the Second-Order Ideal String FDS
  
  
• Piano String Finite Difference Scheme
  • Piano String FDS, Continued
  • Listening to the String
  
  
• State Space Formulation of the
  Piano String FDS
  • Changing to Modal Coordinates
  • Features of Modal State-Space Coordinates
  
  
• Index
• About this document ...