If you've never done altissimo before it might not come that quickly, so I hope you're not under time pressure. Its talked about all the time on here so you should search the forum for bari altissimo and altissimo as there are lots of good threads. I'll spare the details as other people can explain it and do it far better than I can - except to say that its all about air and voicing. But I will talk a bit about how I am progressing on altissimo to give you an idea of the effort it will take to get it.
My skill level:
altissimo G3 and G#3: can hit this with 80% reliability, although its 100% if I start from A3 (A4 on bari I guess). Tone is good, intonation is almost good. Not ready to use in performing since I still can't get it reliably enough. But I play he vocal line to 'man in the box' by alice in chains a lot because it has a high G long note in the chorus, and this is starting to get easier. These notes are harder than some of the higher notes, and I only started to be able to play them decently in the past month or so.
altissimo A(3): easiest altissimo note for me. intonation is fine and can hit it 100%. It was the first altissimo note I hit, and I have been able to hit it for a few years. This and the B above it are the only altissimo I have played live so far.
Bb4 - C#4: can hit these with 95% reliablity. 100% on a good day, 50% on a bad day. tone quality is ok, but intonation still needs work. I use the B live and I occasionally flub it.
D4 and beyond: I can voice 2 or 3 octaves past this but not in any predictable way. I can't hit any specific notes, except if I step up chromatically using the palm keys over and over again while pushing up the voicing. I actually use this range in one song tho for a solo - I just finger a low bell note and thrash around in the high voicings and end on a really high whistle sound.
so - the point here is that I'm very novice to mediocre in altissimo but it still took a lot to get to even that level. When I started playing higher on the bari I was very weak in even the regular high range of the instrument since I had spent my high school time relegated to low end parts, and so had my voicing locked in and specialised for low notes. I got a good teacher who started getting me to work on overtones. At that time I was practicing an hour or two a day and it took me months to get the first overtones reliably, but I had a lot of issues to overcome - biting and stiff like that. I'm still not great at them - I sometimes have trouble with the first overtone, altho he second and 3rd are now easy for me. The 4th overtone is a bitch, and I still can get it without some manual assistance (a tip i picked up on this site, thanks sotw). Its weird, I can voice higher overtones than it, but I still can't get that specific one. Even so, that modest amount of overtone ability is all I needed to understand how to approach the altissimo. Maybe two years of effort for me to get there when practicing overtones for 15 mins a day. I'm not a natural talent tho, so others might get there quicker.
Because I never could get that 4th overtone, I didn't even try altissimo for a while. But I finally just focused on it for a week or so and found that I could go really really high even if I couldn't control it in any sense of the word. I absolutely would not have been able to do this without first doing all that overtone work. That was about 8 months ago. Since then, I have been focusing on getting the lower range more reliable.
A Couple days ago as I was practicing my bari I realized that by biting with my teeth on the other side of reed instead of having my lip over those teeth I was able to make super squeaky high notes come out. Then, working with this I later figured out that the lower your teeth are on the reed the lower the squeak. as your teeth move up the reed, the squeak goes up a step(depending on how far you move up on the reed). If you need to learn altissimo quickly and fast, I suggest taking out a tuner and trying this out. See if these notes come up as high a you need. They can be really out of tune a lot of the time, but if you really need those high notes it's better than no high notes at all.
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