I don't think that applies anymore Hitman... Mikhayl made the minimum zoom 2X, so the mark/angle ratio at 6X is not 0.125, but 0.166666. But that isn't important since the ratio is a linear component. When I recreated the marks for this mod, I kept the zoom levels but I destroyed the nonlinearity for better use with the AOB finder wheel. I aligned them perfectly with the marks that the game used. The marks are now linear (equally spaced) and they simply wouldn't work on a linear formula like the one you described since the tangent(angle)/range formula is not linear. Even so, I don't recall Mikhayl's original marks to be that much different from mine, especially at low values. Your formula should be quite usable even with my OP marks. Let me demonstrate.
Let me see. In the "how to use" post
http://www.subsim.com/radioroom/show...&postcount=191 I had about 9.3 height in the AP (or 93 in the Obs scope) at 6X zoom at a range of 850 m.
9.3 / 3 = 3.1 marks at 2X
3.1/2 = 1.55 angle on the stadimeter (don't ask)
(22.9/1.55)*10=
147 meters
But it should be
846 meters, so there's a
5.758163 ratio between the values.
If I apply them for a ship that is 6 marks high at 6X zoom, that means:
6/3 = 2 marks at 2X
2/2 = 1 degree on the stadimeter
(22.9/1)*10=
229 meters
But it should be
1312 meters, so a
5.72943 ratio, different from the other, since, as I said, the angle/range formula is non linear. But your formulas are linear. The non linear part is actually the marks themselves. That means that even if I multiply or divide by any number (such as the zoom level, which might even be 20X, or 15.3X) in your formula, if the marks in my mod were correct, the ratio should be the same. And it's not. Sure the difference is not that great, but people would need to multiply using the next formulas at 6X:
Range = (Target height / Attack Scope "Degrees") x 345 (since 100*5.75/1.66666=345)
Range = (Target height / Obs Scope "Degrees") x 3450
For example:
Range=22.9/9.3*345=849.5, a preety good value when compared to the real 846.45 meters.
But both scopes are correct when used with the AOBF wheel as shown, because the formula is: tan(mark/2)=mast/(2xrange). As you see, the right part of the formula is linear, the left part isn't. This formula is made for linear marks such as mine :P
tan(1.55/2)=22.9/(2*range)
0.0135271=22.9/(2*range)
range=22.9/(2*0.0135271)
range=846.45
What the stadimeter used for angles and what was painted on the lens must've been different in real life, since the AOB finder wheel didn't have a marks dial, but moved with the stadimeter, I agree with that. But I'm not sure I want to remake the OP marks. As it stands now, it's very easy to judge distance for a medium height of 20-30 meters at 6X zoom:
1 "degree"=8000m
2 "degrees"=4000m
4 "degrees"=2000m
6 "degrees"=1500m
8 "degrees"=1000m
I only fire at 000 gyroangle, regardless of target AOB. So range is canceled out. But the AOB might be wrong by as much as 10 degrees at visual observation so entering a rough distance is preety usefull for countering that error.