David,
Your practical result nicely confirms my calculated figures, thank you.
There is an alternative set up Mike could try, it still needs a 38 tooth wheel.
This set up is 38—–idler——56 on gearbox input. Gearbox set to 36 tpi. The lathe will now cut 18.95 tpi, not quite as precise as the previous version but probably quite good enough in practice.
Regards Brian