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LOL, I hear you. OK, I found this post (not the article I mentioned) and it addresses what I remember the article addressing.Hmmm...I have no idea. Only what I can or can't see! Lol
That doesn't include tube size and I can't remember how or if that has an effect. But given that math, your eye would limit the light visible in a 40mm variable power scope at roughly 5.7x. In a 50mm scope it would limit it at 7.1x, both obviously well below the 9x upper limit. So, between 5.7x and 7.1x a 50m would have an advantage. Most people I know weld their scope at the maximum setting.The exit pupil is the diameter measurement of the circle of light that comes through and out of the eyepiece of the scope and onto your eye. They say that your eye can only dilate to about 7mm so that is the most light that your eye can let in. So any exit pupil of 7mm or more is what you want for low light situations. Now to determine the exit pupil is quite simple. You simply divide the objective lens diameter by the power of magnification. For example a 4x32 scope would have an exit pupil of 8mm, 32 divided by 4. This means your are meeting and slightly exceeding that 7mm. If you are noticing several numbers listed for exit pupil that is because you are looking at a variable power scope which means that it will have several different exit pupil depending on what power of magnification you have it set for. Those numbers probably stand for the exit pupil at lowest power and exit pupil at highest power. Example on a 3x9x40 the lowest power is 3, so 40 divided by 3 is 13.3, the highest power is 9, so 40 divided by 9 is 4.4 therefore your exit pupil range on a 3-9x40 is 13.3-4.4. So during low light any power that allows 7mm OR MORE is what you want to set it at.
All of that doesn't explain to me why TO MY EYES, a fixed power scope allows more light than a variable at the same power setting, even when the fixed has a SMALLER objective size.