I've messed around with steppers before. For my first "practical" project, I want to build a clock drive for my telescope. This requires driving a shaft at a precise speed of a few rotations per day, with minimal vibration. Secondary concerns include minimizing sound and maximizing battery life, in that order.
As far as the motor controller goes, what's the best way achieve smooth rotation and precise speed? Am I better off running the motor at a higher speed and gearing it down more? If I do run it at high speed, would there still be any value to microstepping? And on the mechanical side, would the slight elasticity of a toothed belt help smooth out the output speed?