petrochemist wrote:
Yes if it was f/2.5 it would JUST at 2x (but not at 2.1x let alone 5x so even there my point stands). ...
It's actually more complicated than that.
As I'm sure you are aware, only f/2, 4, 8, 16, etc are real values. What we call f/2.8 is actually f/2.828427125 and f/2.5 is actually f/2.5198421, etc. One stop increments are separated by a ratio equal to the square root of 2 (1.414213562) and 1/3 stop increments by a ratio of the sixth root of 2 (1.122462048). The in-between f-stops are simply numbered with values that are easy to remember like 4, 4.5. 5, 5.6, 6.5, 7.1, 8, etc
But it gets even worse. As it is implemented in a lens the numbers don't actually work out as being precisely and equally spaced, just close enough for photographic use.
I measured the raw values for f/2.8 through f/5.6 with the lens on a Df and the focus at infinity and ended up with increments of 0.1656, 0.2897, 0.3337, 0.3397, 0.3847, 0.3798 stops. The spacing should have been 0.3333 stops in all cases. The spacing between f/2.8 and f/3.2 is about half what we might expect,
Then I measured the raw values for f/5 through f/11 with the focus at 1:1 and ended up with increments of 0.0871, 0.4061, 0.2783, 0.2240, 0.3396, 0.4335, 0.2003 stops. It's still not 0.3333 stops for each step and we know that Nikon is doing something peculiar at macro distances. The difference from f/5 to f/5.6 of 0.0871 shows that f/5 is actually a lot closer to f/5.6 (maybe f/5.5) but the camera is not reporting the actual value.
The results will surely be different with other newer macro lenses but probably not for the older ones where the internal adjustments are not taking place.