Tone vs. Notes
Sax in Rock and Blues
The neck, which is the curved piece between the horn and the mouthpiece, affects another 15% of the sound; and again it's the material used and somewhat the shape that is relevant to different sound qualities.
Finally, the "holy grail" of the sax - 70% of the sound is a result of the mouthpiece design, which can be a very detailed and intensive discussion in its own right - here is a great reference site if you're so inclined: http://theowanne.com/knowledge/mouthpiece-glossary .
The Rock/Blues Sound
Not unlike ANY good sax player I have spent a GOOD portion of my life trying to find the ultimate rock mouthpiece; and I've basically tried them all. Then I stumbled onto Theo Wanne Classic Mouthpieces...and the rest is history! Theo custom made one for me based on his SHIVA 2 model that is the nastiest, raunchiest, edgiest thing I've ever played. Here's a link to his incredible products: http://theowanne.com/