The ``cyclone'' and ''cylindrical saxophone'' approaches to conical bore modeling provide acoustically accurate representations of their respective physical systems. For the purposes of acoustic study and further explorations regarding the properties of conic frusta, these models offer efficient structures for discrete-time implementation. In addition, the two equivalent parameterization schemes provide an interesting duality and perspective on the acoustic behavior of conical waveguides. With respect to synthesis, these models produce good sonic results within a somewhat complex parameter space.
The virtual ``blowed string'', though potentially less appealing to acoustic purists, provides a robust and flexible synthesis model capable of generating a wide range of possible timbres, including both cylindrical and conical bore sounds. This model suggests an interesting analogy to the bowed string based on an abstract or ``physically informed'' view of air column acoustics.