The thread pitch is 80 threads per inch for windage and elevation. There are 6 clicks per turn on both. One full turn moves the sight - 1" divided x 80 = .0125. One click moves the sight about .002. The sight radius on a Smith is approximately barrel length + 2".
Using the knowledge of sight radius and sight blade movement, you can trig out how much the sight will move the point of impact (POI) at any given distance. All you really need to know is how far you're changing from where you were hitting to where you want to hit. While all the other factors come into play, they will be more or less consistent for a good shooter.
For example, shooting a 6" gun on the bench with sandbags at 25 yards, one click will move the POI .225, or about 1/4". A full turn would be .225 x 6 = 1.350, or about 1-3/8".
As the great silhouetteer Ken Hale explained to me: It's all about ratios!
Protocall Design's explanation is pretty close to being exactly correct, given that the clicks aren't as exact as is mathematically calculated.
One slight built in error is that the rear sight blade rear isn't directly over the centerline of the screw and the pivot point may shift slightly with very large elevation changes due to where the bottom of the sight touches the top strap shifts forward as the sight goes up. Not really important until you go past 100 yards, and probably lost in the increase in the group size.
Given the assumption that the change per click really does move every time (1/80)*(1/6), then the rear sight does indeed move slightly more than 0.002" (0.002083repeating"). Again, in the real world it's not that repeatable!
That leaves only three variables affecting Point of Impact change due to sight movement:
"X" in inches= POI change in inches per click.
"Y" in inches= sight radius in inches from the rear of the front to the rear of the rear sight blade.
"Z" in yards= distance from the front sight to the target in yards. (The equation will convert yards to inches, i.e., 100 yards is converted internally to 3600 inches.)
Zo!:
X= (1/(80*6))*(Z*36))/Y
Sorry, it looks much tidier if you can show the equation in two lines. Or, even better, stacked "four high".
Or: X=((1/480)*(Z*36))/Y=(0.075*Z)/Y
Since "Y" doesn't change for a particular S&W revolver, it is pretty simple once you make it a constant to figure out the POI change per click for any distance. If "Y" is 10.375" on a 8 3/8" barreled revolver then:
X=0.00723*Z
(I think, trying to type this is much more confusing than doing it on paper for some reason.)
Which means a bit less than 3/4" POI change per click at 100yds. And 3/16" change at 25!
It really works. I made a tool with a dial indicator that sits on the topstrap to see actual changes whilst making rear sight elevation changes so I don't have to worry about theoretical click values, but counting clicks works pretty well under time pressure at a match.
FYI, my usual sight settings go from 25, 50, 75, and 100yds, OR 50m, 100m, 150m and 200m.
Happily, I have several four position front sight equipped revolvers which don't have clicks but can be measured easily with dial calipers.
And if you want to really start getting crazy there's the "roller coaster" windage change screw which messes with your elevation setting....Arggh!