Time-domain synthesis of conical bore instrument sounds

Model Approaches: The ``Blowed String''

• The ``cyclone'' and ``cylindrical saxophone'' models offer acoustically accurate representations of their corresponding physical manifestations. In addition, they inherit the various potential disadvantages previously discussed for these structures, including modal inharmonicity and weak low frequency mode support.

• A more abstract approach is to find a stable structure with the following features:
  • Resonances at integer multiples of $n c/2L$, for $n=1, 2, 3, \ldots$.
  • An input point with sufficient pressure fluctuation to drive a reed function.

• The ``blowed string'' was inspired by the bowed string. It consists of an open-open cylindrical air column model with a variable ``input'' blowing point.

  Figure 12: ``Blowed string'' block diagram.

  

• Variation of the blow point can provide a wide range of timbres, including that of a clarinet when placed at the center of the air column.