I though in a interesting analogy the other day, if you hear a jazz band (and hopefully a good one) you'd realize that the conductor encourages improvisation. Actually, improvisation is a distinctive characteristic of jazz music.
The conductor is someone that is deeply familiar with the instruments and music, but not necessarily plays with the band. What is important for him is that everybody plays good jazz and the audience gets satisfied. Making every musician in the band happy is of course a priority, happy people are generally more willing to improvise.
There's of course an style to follow and a lot of training, all these required for being able to improvise in the first place. But the goal is always at sight, have fun and play good jazz. Again, the conductor don't tell the team what to do, he let the team create and help it to reach the next level. This is certainly a lesson that we can translate for Agile Project Managers.
On the opposite side, this guy has everything figure out from beginning to end-or at least he likes to think so-, everybody in the chorus has to sing exactly what has been rehearsed endless times.
No deviations from the score are allowed, improvisation is not specially highly rewarded. Do you see any similarities with traditional Project Management?