Well, this proved to be an interesting little exercise, with a few 'red herrings' to catch me out!
I have worked out what the gearbox ratios must be in the 4-position box, and revised my calculation sheet to include them -
here.
Now for the catches:
1) The number of teeth on the stud gears A-D as marked on your metric plate are
not the same as the ones you have marked A-D.
From my calculations, for the 4-position box as marked on the blue plate on your lathe, the stud gears should be:
A=24t, B=21t, C=27t, D=30t
You have the first 3 anyhow, and the 30t is only needed for 5mm, 2.5mm and 1.25mm pitches. In a way it makes sense for the 'old' A to be 24t, as this is the standard stud gear for the English boxes.
2) With your transposing set, you cannot cut 6.5, 7, 13, 14, 26 & 28 tpi - which substantiates my previous theory as to why the 5-position box was introduced.
Attached is the transposing table for what you can cut.
Please do a few tests to make sure I've got all my figures right, and let me know if anything is wrong.
Andy