What gears ratio use to have more resolution in stepper motors, laser engraver?

I want to have more resolution, my project is a pan and tilt laser engraver. Due to its nature the work area will be small, and by so I want to have more control of the step of each motor, to have more resolution I think is the worl

Nema 17 stepper motors give 1.8 degrees per pulse, idk how much lower degrees per pulse I will need in order to be able to create good images.

this is my first prototype, its ugly: Imgur: The magic of the Internet

This is what I want to do, but by pros, and idk the mechanism. World Smallest Laser Engraver: Cubiio - YouTube

it must be a pan and tilt mechanism as order by my prof

Image from Original Post. See this Simple Image Guide

...R

DaRobot:
Nema 17 stepper motors give 1.8 degrees per pulse,

Most stepper motors are controlled by stepper drivers capable of producing several multiples of micro-steps. For example with 8x microstepping the movement per step will be about 0.225 degrees. I use the word "about" because the micro-step positioning is not quite as accurate as the full step positioning. Of course every 8th micostep will be at a full step position.

Your diagram suggests that there will be a substantial gear reduction between the motor pulley and the much larger red pulleys. What is that ratio? Maybe it will be sufficient not to need micro-stepping?

...R
Stepper Motor Basics
Simple Stepper Code

Please keep an eye on your eyes safety. These devices without enclosure are going to hurt you more sooner than later.

it must be a pan and tilt mechanism as order by my prof

Ask your prof what resolution he/she requires.

Also be aware that backlash in the gearing must be accounted for to maintain resolution

Hey guys, sorry for not answering,

I think I have found my solution,

Im using a 16 tooth gear and a 60 tooth gear

I found the distance needed between the gears with a formula, since I will get a 20 cm "chain"

I found it here Aprendo - Longitud correa poleas - Tecnologías - Física - YouTube

With this arrangement and a complete pulse I'll be able to control kindof like like a pulse per 4.5 degrees, not remember the exact number, but the motors have a driver that let me use a quarter of pulse, so now I will be able to move it at 0.12 degrees per quarter.

Thanks for answering

Now there the headache of the programming, I will post later on about it

This is my new prot, looks better

DaRobot:
This is my new prot, looks better

Please make your image visible in your Post. I did it once for you and gave you a link to the instructions.

...R

Im sorry I though it was visible, let me try again

edit: done

thanks for all the info