Is your table a HV4 or RT4?
What does the Manual say about these things?
Not much if it is like the one for my HV6! Seems more concerned with fitting and using the Division Plates.
The following comments are based on my knowledge of the HV6, and the assumption that your 4" table is a scaled down version. So it should be a 90:1 ratio. (90 turns of the handwheel for one complete turn of the table ).
So one turn of the Handwheel will rotate the Table by 4 degrees.
I am too idle to go out into the workshop to get out the HV6 and check, so am relying on memory! And it is a LONG time since I partially stripped one to adjust.
The units on the main scale, on the Rotating part of the Table are Degrees, the graduations on the Handwheel and the Vernier allow you to work to fractions of a Degree, Minutes of a Degree, and then,hopefully, to 1/60 of that, namely Seconds of a Degree, AT THE Table…
Most probably, the divisions on the Handwheel will be Degrees, and the divisions on the other scale will be a vernier, allowing you to work to Minutes of a Degree.
If you check, you will find that the six divisions on the vernier scale do not correspond exactly to those on the handwheel. Probably coinciding at the zero and fifth divisions on the handwheel. This is deliberate, to produce the vernier effect, so that moving the handwheel so the coincidence changes from the zero to the first graduation on the vernier needs only a tiny rotation of the handwheel.
If there are 120 divisions on the Handwheel, each graduation probably represents 3 degrees ON THE HANDWHEEL, or 0.0333333 degrees, or 2 minutes, OF THE TABLE.
Using the vernier scale, it is possible to rotate the Handwheel by a lesser amount and so obtain an ever smaller incremental movement of the table.
At an unchecked guess, (Which someone is likely to correct ) this movement of one division on the vernier scale will represent 3/6 degrees or 30 minutes of Handwheel rotation producing 0.33333 Minutes or 20 Seconds of TABLE rotation. Hence my being pessimistic over being able to obtain your final 12 seconds
You are looking for a HANDWHEEL rotation of 4.770833 turns to obtain 19.083333 Degrees of the table. This is dividing a circle into almost 19 divisions, but not quite, (18.864629 divisions ).
BUT, if it needs to be said, the backlash MUST be taken out., so I would recommend setting the table locks to drag slightly, and ALWAYS to rotate the handwheel in the same direction.
I would be surprised if the lever to which you refer reverses the direction of rotation. There may well be such a provision, but I have never heard of it. It would be more like;y to allow the worm to be moved in and out bof mesh with the wormwheel.
.This achieved by rotating the eccentric sleeve which carries the worm shaft. The position of this sleeve is locked by a small handle in the base of the table, just by the handwheel, behind the vernier scale. .
If the "Second scale ring" is on the Hnadwheel, this may be to allow the handwheel to be moved relative to the wormshaft so that the scale can be zeroed against the Vernier scale, before commencing rotation of the table
All these assume that the worm and wheel ARE accurate. (There have been posts on here of a table supposedly having a 48:1 ratio being found to have a 47 tooth wormwheel! )
You quote figures requiring a high degree of accuracy, (Possibly higher than the table can deliver ) so check everything!
HTH
Howard
Edited By Howard Lewis on 17/01/2021 16:35:17