# How do I mechanically convert 200 steps into 360 discreet degrees?

I have a Nema 17 stepper motor that does 200 steps per revolution, or 400 800 and 1600 micro-steps if in micro-stepping mode for convenience sake I would like to somehow translate the 200 steps into 360 steps. What gear ratio / micro stepper configuration do I need to convert 200 steps to 360 steps.

Update

If anyone wants an easy way to create an involute spur gear, I found this page, converted the to DXF in illustrator then extruded in Rhino! http://geargenerator.com/

• 20t/36t gears or toothed belt pulleys. Oct 1 '16 at 21:57
• Typically wouldn't a stepper motor be controlled by some sort of programming/software? Program a unit converter between gradians and degrees before it sends the signal to the motor. Oct 2 '16 at 16:05

You want a transmission with a ratio R such that $R \cdot 200 / 360$ gives an integer number of steps per degree. Then in controlling software you can program it to take e.g. 5 steps to move one degree.