Dear all, Yes, it's certainly acoustically complex, as the many factors mentioned contribute to more than the base resonance--together these factors make up the voice of the lute itself, which we all know to be richly variable. I don't hear anything jumping out too strongly on my lutes--the complexity of the shape, the soundboard's dynamics, etc., seem to give a broad spectrum of response. And no matter what the basic resonant frequency of the cavity is, other notes will be brought out by resonating as overtones--especially as the Ren. lute tends to stay harmonically close to home for much of the music.
-James di Properzio