Teamspeed:
I repeat, whatever you may infer from the article, there is no use or understanding of the word "math" in English English. The last line of the article is not referring to English English, or is incorrect.
I initially wrote that the term "Macro lens" has no bearing on this discussion, which it hasn't. It's pretty meaningless. People think "Macro lenses" are special - they are not, for this discussion. Their construction doesn't alter the maths. That WAS part of what you may have replied to.
I thought I removed it before there were any replies - it was gone within minutes, because I thought someone would misunderstand.
You have misinterpreted the thread, and the quote, and brought irrelevant matters into the post so you could pick a fight - including semantics.
You asked
So I gave you a reference which adequately explains. You still wanted to argue.
You also said
. Clearly. So you go off in different directions? If you'd asked, I would have explained again.
You went on about lenses being close or not to the sensor - irrelevant AND nonsense.
"Also if you want to shut down your aperture for larger DOF, then it isn't really a lens issue allowing for large apertures, but rather a light/exposure/ISO issue vs fast enough shutter speed at that point. This is why you really need to learn to focus bracket your results," All The underlined part doesn't make much sense in any language; we aren't discussing light and shutter speeds - or any need "to learn" bracketing. (How arrogant!)
If you think there's no need for large aperture lenses in macro, you're badly mistaken, as explained - part of the "not following", I imagine. Try reading again.
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Dog give us strength.
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I see you have posted some pictures.
As anyone would have predicted, they don't show the OP's problem, which was caused by the reason I gave in my first post in the thread. It's very well understood and controlled by experienced macro shooters.

