Chaps,
I was not able to locate a 5/8" 20TPI Tap, so purchased one from LPR Tools in Victoria Australia at great expense. It turned out to be 5/8" 20TPI UN thread, not CEI. After a bit of research, I decided to use it. It is part of the Unified National system (Series with Constant Pitches), and is also a 60 deg thread form. Seems to be quite a range of diameters. Unlike CEI, which has a rounded edge on the threads, UN has the edges flattened off so I did not expect it would remove any more steel than a CEI tap would do.
I also purchased a 5/8" 20TPI UN button die to check if it would run down the mainshaft thread. It did - by hand without using a die holder.
The tap did the job, and the nut ran down the thread with a little more force than finger-tight.
Not sure if UN threads are very well known on the Forum, so thought I would write down my experience.
May be a useful source for larger CEI threads if unavailable. I have attached a useful table I found on the Net.
The large washer machined out to fit OK.
Cheers
Colin