Used my callipers and thread pitch tools.
The rack pitch is weird. Is 17 TPI a thing?
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Spent a long time on the rack thread pitch. In the end, I just manually mimicked it.
So that's 33 triangle trips across the 49 mm span of the rack. Or tip-to-tip over 49mm, there are 33 peaks. To get the correct pitch I used the solid pattern repeating feature in 123D with the properties of 49mm length with 33 elements within.
Then I had to remove one of the end triangles, reducing to 32 peaks, for the cutter!
And finally I had to offset a half-tooth.
It worked! I was able to exactly recreate the weird thread pitch for the focuser rack.
That was brain-bending.
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