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Tail stock holds flat until dry. This technique is often used in clock and watchmaking. I expect there is a indicator tip to facilitate measuring run out of the gear.
5.5mm with 3mm hole, and 4.5mm with 2mm hole? Interesting. Those gears seem to have rather large holes.
I re-measured the gear, and my first measure was correct.The worm gear measures 4.99 mm.According to this nice gear calculator I came across....https://www.technobotsonline.com/gear-size-calculator.htmlEnter4.99 mm and 18 teeth....and you get nothing.But the teeth are probably worn a bit.... so enter 5.00 mm with 18 teeth...And you get a mod size of .25I went to a local machine/CNC shop today in town.I asked if they can make gears.They can--- if I buy about 1,000.