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APPLICATION TO A SIX-HOLE FLUTE

The wave digital (WD) tonehole model closely approximates the tonehole transmission-line model described in [3]. This was verified by comparing the reflection function of a six-hole flute, as computed in [3], with the reflection function of a WD model of the flute. Figure 5 displays this comparison for a fingering that corresponds to the note G. A 5kHz low-pass filter was applied to both reflection functions in order to facilitate a visual comparison. In the WD model, fractional delay-lengths were modelled using third-order Lagrange interpolation filters [5], which have a negligible error in a bandwidth of 5kHz. In order to further ensure that the comparison is focussed on the tonehole part of the model, viscothermal losses were neglected in both computations.
Figure 5: Six-hole flute reflection function for the note G (the first three holes closed).
\includegraphics{eps/flute6g.eps}
Note that the fit is so close that the difference between the curves is barely visible.


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Download wdth.pdf

``The Wave Digital Tonehole Model'', by Maarten van Walstijn and Gary Scavone, Proceedings of the International Computer Music Conference (ICMC-2000, Berlin), pp. 465-468, Computer Music Association, 2000.
Copyright © 2005-12-28 by Maarten van Walstijn and Gary Scavone
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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