Conclusions

We have presented a computationally efficient modeling framework applicable to flaring horns and piecewise conical bores. The horn models use tail-canceling IIR filters to implement finite exponential and constant impulse response segments, with periodic replacement of unstable filter components used to avoid indefinite build-up of round-off errors. The piecewise conical models follow analogous principles with $t_{60}$ replacing the FIR filter length. Compared with previous practical approaches to modeling these musical acoustic elements computationally, the TIIR approach offers compelling advantages.