Not 100% Sure what I'm looking for

I don't need particularly fine control, I just need to be able to spin a hand to about 12 positions or so... problem is those positions are all around a circle.

If there's an easy way to use a couple gears to augment the ~180 degree travel range of on of the servos I already have that would be preferable for this project (although I'll definitely look into a stepper motor for future stuff).