Help newbie with linuxcnc on stepper wizard

I have setup my machine and I got motion but I am trying to figure out the configuration on this. I am coming off of Grbl with my router but I am trying to find out what the pitch and revolution for a rack and pinion setup? I have stepper motor with a 12 tooth pinion with no reduction just 1:1 on a 20 pitch gear rack. Can someone help me out with this?

You may want to consider adding some reduction between the pinion and motor.

The math will be #steps per rev times 20/12. So if your drive is set for half stepping you will have 666.667 steps/inch.

Also are you sure your rack and pinion are in pitch. I thought they usually went by diametral pitch, which is the number of teeth that fit on a 1" gear, or module, which is the ratio of mm diameter to number of teeth on the pinion. Either way it adds a factor of pi to the calculations.

Well it’s my first machine that build using rack and pinion and the size of table is 4x2 I don’t want to do crazy speeds it will be just strictly plasma. The motors I have are 425oz nema 23. Maybe in the future I will add a reduction system or if I build another one I kind of just wanted to see thing work and get it functional. So then how do I plug in these numbers on the wizard?
Driver microstepping : 2.0
Pulley teeth 1:1 ??
Leadscrew pitch 666.667 rev/in ??
Maximum velocity: what’s your recommendation
Maximum acceleration : what’s you recommendation

The drivers I am using are tb6560 and I could move them down to 1/8 step cause yes they are vibrating when I run a test gcode. The pinion is a 12 teeth and rack is a 20 pitch and they are direct drive.

hi
the tb6560 is best on halfstepping
and on plasma it is well good to go for
the rack pinion is it a metric one T modell

seams your pitch of 20inch i guess is very high

it woudt help enourmous on module knowing
maedler.de/product/1643/1618/zahnstangen...ckig-gerade-verzahnt

This is the one I got it’s from
McMaster Carr

www.mcmaster.com/5174t21

Those are almost certainly Diametral Pitch (usually abbreviated DP). You can be sure by counting and measuring the distance for 20 teeth on your rack. If the disance for 20 teeth is about 1" then it truely is pitch. But I suspect it will be about 3.14" meaning it is DP.
For DP and if you use 1/8 micro-stepping, the steps/per inch should be.
8*200/12*pi/20=848.82636steps/inch.

Just remember when using micro-stepping your true resolvable accuracy will probably not be any better than if the drives were only set to 4x micro-stepping no matter how high you set the micro-stepping. But it should still help to smooth your motion (What micro-stepping is truly for.)

I counted the teeth on a 1 inch margin and it’s 7 teeth. I entered the number on the configuration the measurement on the 2 lines I made and it equal out to 1.86” so I entered that and when I ran a command to move x axis 5 inches it was going way too far. So I kept tuning the number and I got it to be almost accurate with a value of .54 not sure how that is or if there is another configuration I need to make?