Screwdriver
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You can indeed move the saddle all that matters is that you re-engage on the same mark of the same turn. If you're feeling brave, you can wind the saddle back all the way to the end of the bed counting the thread dial turns then reverse the lathe until the leadscrew has un-wound those turns and then pick up the same mark, and you'll still be on index. It's a risky venture with a high risk of messing up your turn count, and the only thing to gain is reduced war on the screw and nut, but it works perfectly well.
For short threads it's far less risky. If you divide the number of teeth on the threading dial gear by the leadscrew's TPI the result is the number of inches you can move the saddle without the threading dial even making a full turn, so suppose you have a 8tpi screw and a 24t gear you can move up to 3" and still be on the same turn of the dial. It's easier than it sounds TBH.
FFS. Wind the saddle all the way to the end of the bed?? WTF would you want to do that? Your comment about re engaging on the same mark of the same turn is unintelligible, I don’t know what you’re suggesting. If you are saying just use the TDI as per usual, that is INCORRECT!
I suspect you are answering some other question. This nonsense is ONLY for the circumstance where you are cutting a metric thread in an imperial lathe. You cannot move the saddle with the half nut disengaged and re enter the thread in the correct position.** I know you know better so I am hoping you just misread the question.
** yes there are absurd bodges that machinists might be able to pull but “count the rotation of the lead screw” I mean seriously wtf.