You may find you need to use 'cross-fingerings' - try high 'E' without both index fingers, for example.

Your high 'D' should only be your left hand middle and ring fingers, no index finger and no right hand...

See how that goes, and we'll try more!

Bernard I may be wrong,in which case I apologise, but I think we're talking problems in the 2nd octave here, not the dizzy heights of the 3rd octave!