I have been playing my instrument for almost 11 years now; I have mastered the technique, I can play my scales and chords forwards, backwards and upside-down, sightread most reasonable music, identify isolated intervals, scales and chords with reasonable fluency, understand the fundamentals of tonal harmony, and have played a large repertoire of music. In short, I have done everything I was supposed to do, although, of course, these things are not perfect.
However, I do not feel that I have 'real' musical ability - I feel that I still lack a 'natural' connection between what I hear, what I read and what I play. I cannot 'hear' real music on the page without playing it, I cannot naturally 'translate' real music that I hear (either aurally or mentally) into my playing, I cannot 'see' real music that I hear as music on the page.
Does an experienced musician have advice on moving past this phase, from ability in drills to 'real' musical ability? If this can be practised, how should it be done?