I had noticed that my playing was sometimes rough/uneven in my right hand. I finally figured out that the problem was between my 2nd and 3rd fingers. I found that if I tried to do a trill between these fingers in my right hand, it was very slow and tense. However, in my left hand, the trill between these fingers was very fast. So I worked on this right hand trill, and that helped a bit. What finally solved this problem, might be of interest to teachers out there
I used to be a classical guitarist for about twenty years. In classical guitar right hand technique, we have a process called ballistic motion. In ballistic motion, the finger is only activated by flexion. The extension is accomplished by what we call natural release. That is if you flex a finger, it will naturally return to its original position without using the extensor muscles. On the saxophone, when I depress a key, I flex the finger. If I relax this flexed finger, it will tend to return to its original position. In addition to this natural return, you have the key spring which will help this extension. When you hold the 2nd finger (E) down in order to trill on the 3rd (D), you need not use any extensor muscles to lift the finger in order to get a quite rapid and extremely relaxed trill. This movement happens naturally for most of us as it does between all my other fingers except the 2nd and 3rd fingers in the right hand. Now it works there as well.
This is the sort of thing that is a challenge to teach unless you take lessons face to face. I've learned more from piano and string players regarding finger, wrist, and arm motion than I ever learned from any woodwind teacher.
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