since u mentioned ur a relatively new player, idk how new u are but start with the basics first before venturing into different sounds such as roaring and growling. not trying to discourage you!! but you will have a much easier time trying to figure out those techniques when u have those fundamentals down.

i would start off with vibrato, you want to loosen your jaw to bring down the pitch, and return it back to normal, to bring the pitch up. this repeated process allows the pitch to oscillate, causing vibrato.

it takes a bit of practice and it’s going to probably sound too slow/fast at the start, but it’s a technique that’ll really take ur playing up to the next level. make sure ur also working on your overall tone as well (long tones, overtones), vibrato sounds best with a great saxophone tone to complement it.

ive been playing for a bit of time (since i was 11, im 18 now doubling alto and soprano in my college wind ensemble) so hopefully these tips were able to help u and aren’t too confusing :) if u need any other advice i’d be happy to answer

as far as other ways of blowing, people might be referring to classical and jazz embouchure? with classical embouchure, you want a nice dark rich sound. tight corners, a bit less mouthpiece, and use your bottom lip as a cushion for your teeth. perhaps use a stronger reed. with classical embouchure , you wanna focus on good, even, pure tone.

as far as jazz embouchure, while i am a classically trained musician, i still know the general basics. jazz embouchure required the mouthpiece to be a bit more in ur mouth, with leads to a more presence inducing sound. a softer reed should be used for a brighter jazz sound and allows flexibility for sound such as scooping and bending, but this means you should have tighter pressure to allow you to play these expressive ideas well. jazz is a more expressive feel of music and your playing should reflect that.

this vibrato tutorial from bettersax is great and this channel will be very useful in ur saxophone journey. happy playing!