Something I notice in a lot of fue fingering is that it doesn’t really explain many things of why you are fingering certain things – here is a concise version of the basic of the basics. Notice the top left one; the existence of that note proves why you may have to modify these basic fingerings for some notes later on, and it explains some of the instability in fue harmonics that causes the instrument to sound the way it does. The bottom right one is a transition to more “advanced” notes and techniques.

Happy Holiday