When you’re dealing with such a narrow depth of field it is not possible to focus a camera by mathematical formula. You have to look at the focus peaking on your mirrorless and you will probably have to refocus your system every time you get ready to scan another batch.
Yes, I agree, any attempt to focus by numbers in a macro situation is highly unlikely to be successful. Focus peaking on my Fuji X-T1 works pretty good.
My interest in d(o) was to help make decisions about which parts to buy to put together a camera scanning rig. In other words, to help predict which parts might work together to get the magnification I want.
For example, to photograph a 135 negative, I calculate it requires a magnification of about 0.656x to fill the sensor of my APS-C camera. [135 negative width = 36mm, Fuji X-T1 sensor width = 23.6mm, and 23.6mm / 36mm = 0.656]
I am using a Pentax screw mount bellows with an adapter on the back for my Fuji APS-C camera. And another adapter on the front to mount the enlarging lens. When the bellows and adapters are mounted on the camera, it's about 85mm from my camera's sensor to the surface where the back of the enlarger lens will mount. That's with the bellows fully closed, so the back mounting surface of my enlarging lens cannot be any closer to my sensor than 85mm.
The question I was trying to answer is this:
Given that unavoidable minimum of 85mm extension, is it possible that a 50mm enlarging lens might provide more magnification than my target of 0.656x? If so, this would result in unwanted cropping of the negative, making a 50mm lens unsuitable for my purpose.
I ended up buying a 75mm lens and it works fine -- probably better than a 50mm would have. But it bugs me that I never was able to figure out if a 50mm would have worked.
@-chrille- Were you able to use the formulas to answer you question?