This paper sets out to test a hypothesis that convergent (many-to-one) type mapping schemes should give the most intimate control over a synthesis algorithm since it is most like typical instrumental physical phenomena. The example used to test the theory is a Yamaha WX7 wind controller controlling a rather complex additive synthesis system via several different mapping strategies (from one-to-one to a revised many-to-one). Issues are encountered with the synthesis system however and it seems that thorough testing and subject and objective results are never completed (or at least presented) although the author's conclude that:
"the mapping layer is a key element in attaining expressive
control of signal model synthesis." (interesting to note their hypothesis is only applied to signal models. I suppose we can mostly write off physical models since the mapping is largely built into the system and any mapping from controller sensor values to model inputs are typically one-to-one)
As well as:
"In an instrumental approach, the conver-
gent mappings demonstrated in this paper have the
potential to provide higher levels of expressivity to
existing MIDI controllers."
Interestingly the authors point out that:
" Without the need to de-
velop new hardware, off-the-shelf controllers can be
given new life via coupling schemes that attempt to
simulate the behaviors of acoustic instruments"
velop new hardware, off-the-shelf controllers can be
given new life via coupling schemes that attempt to
simulate the behaviors of acoustic instruments"
Which is a point that I don't think many other authors have directly made, considering that perhaps we can make existing commercial controllers perform better without building completely new controllers.

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