The essential thing, for an accurate conversion from Metric to Imperial , or vice versa, is the inclusion of a 127T gear (25.4 x 5 = 127) in the train.
The number of teeth on the other half of the compound Idler is determined by the needs of that particular machine. (EXAMPLE : Mine is intended to cut Metric pitches using 40/120/40 in the drive to gearbox. For Imperial pitches the train becomes 40/ 120+127/ 40)
For a Metric machine with changewheels, it needs a 127T in the train for accurate translation from Metric to Imperial pitches.
The Driver and Driven will depend on what pitch is required.
An Imperial machine will need the 127T to translate the Imperial pitch Leadscrew to produce Metric threads
63 being ALMOST half of 127 will translate Metric to Imperail, (or the other way round) but with a slight inaccracy, which will vary according to the pitch being cut. It might be so small as to be unnoticeable over a short thread, or could be importanr over a long length of thread where the errors begin to add up.
An error of 0.005 mm might not matter, particularly, over 10 pitches, because of clearances, but will be obvious when the total error becomes totals 0.5 mm over 1,000 threads!
There are books which give the percemtage errors for a pitche, alongside the gear trains for that pitch.
Howard