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The 1/4 to 1/2 is the size of the tap square Zee. That's a pretty good range but they do make smaller T handles. A quick tap handle is a pair if vise grips if you have a tap guide.
There are two types of t handle tap holders I've seen, the ones likke you show with round collets, other type grip in the square shank end like this oneMy preference is the square shank style, fit a wider ranges and dont slip.