I play with a jazz band that plays Trad and Dixieland, and I play tenor sax. After searching for overviews on differences between playing style (note bending, arpeggios, note sequences) for these two instruments, I don't find anything.
I would think obviously you don't want to just play what the clarinet plays on a sax, or vice versa. Can someone give an overview of the general differences or a resource on this?
-- EDIT --
A good comment made is that sax is not a dixieland instrument, but if you go to New Orleans you will see saxes and clarinets together, playing "Dixieland" tunes. I realize there may be a more precise definition of Dixieland than I am aware of or maybe there's a slow blend over to "Trad Jazz".
So, a better way of asking the question by example:
Here is an example of a Sax player (no clarinet here), and I'm wondering how the clarinet (technically speaking) would voice this differently to take advantage of its specific timbre etc.. To me the sax is more lyrical and melody-focused:
And here is one (albeit very slow) with both instruments: