Half the instrument is the saxophone, have of it is you- from your mouth into your lungs, all of your upper body practically. It includes your embouchure, but is not limited to your embouchure. It includes your posture, the position of the neckstrap, the positions of your fingers, the muscles in your throat and throughout your upper body, and more.
Partly getting the notes is about knowing what the note will sound like before you play it. Your body will automatically adjust to play it.