**Okay! ** I called Zack at PlasmaCam and a two, three (

*or four?*) -way conversation took place. Apparently this had never been asked before. so the "technicians" got onto it, and began to backtrack the math to discover WHY the default setting for X and Y is

**.000471239**
I thanked Zack for his help, and he DID help me by mentioning a little known but not particularly secret formula that is used to derive that number, although I was still a bit puzzled by the reasoning behind using THAT formula.

**((((encoder # = 500) x 4) x motor pulley ratio 4) X resolution value for ****X** or **Y**)
So in the interim, I did some quick math and referred to a .pcm file I created a couple of years ago, wherein I wanted to calculate the true geometry and gear ratios of the PlasmaCam tables.

**Then the answer came to me!** (Insert chorus of angels here)
So I called Zack, and he said they came to the same conclusion almost simultaneously.

I now

**KNOW** why the default number is

**.000471239** I still cannot understand what possessed the makers of DesignEdge to calculate it this way, but they did. Rather than calculate the full 360 rotation of the gantry shaft in order to achieve 100mm of lateral movement of the gantry tube or carriage, they based the resolution setting on 24 teeth of the pinion gear rolling along the gear rack, WITHOUT returning to the first tooth at the starting point, which would have completed the full 360 degree rotation.

The resolution is NOT calculated on a 100mm movement of the gantry or carriage but rather, a 96mm (rounded up) movement of the carriage or gantry via 24 teeth of the pinion gear, where 25 teeth (24+1) should have been used.

The photo below shows the difference, and I will make a video that explains all of this so that everyone can understand it.

NOW I know what I need to do, to calculate the exact X and Y resolution when using the gantry or carriage motor to drive the belt, which in turn drives something else either larger or smaller in diameter.

Joe

TABLE RESOLUTION CALCULATOR.jpg