"The pitch should change when using vibrato. Even with diaphragm and vocal vibrato, there is a change of pitch, as well as a change in amplitude. Saxophone vibrato, according to many sources, seeks to emulate string vibrato, which is a change in pitch. Saxophone players generally use a jaw vibrato. When singing or playing flute, there is very little resistance, and so it is easier to control the vibrato. With the resistance of the saxophone, it is easy to get the throat involved, producing a 'nanny goat' kind of vibrato.

The best way to learn vibrato is to emulate your favorite player.

Use your ears. That's why you have two"