A game master or teacher who was primarily concerned with...

A game master or teacher who was primarily concerned with being close enough to the "innermost meaning" would be a very bad teacher. To be candid, I myself, for example, have never in my life said a word to my pupils about the "meaning" of music; if there is one it does not need my explanations. On the other hand I have always made a great point of having my pupils count their eighths and sixteenths nicely. Whatever you become, teacher, scholar, or musician, have respect for the "meaning" but do not imagine that it can be taught.