I repeat the only thing that changes dof is aperture when using cameras with the same registration distance.
Even if you go from a 50mm lens on the same camera to a 100mm lens at the same aperture because you need to stand back twice as far to get identical framing the dof will be the same - it is directly proportional to the focal length.
Now if we put the same lens on the Q the dof increases and if we put it on the 645 it decreases because of registration distance.
That's why MF has that different look ie perspective.
DOF changes with focal length, position and aperture. These are the only parameters one needs to enter in a DOF calculator. Registration distance is irrelevant.
I'll copy and paste from a previous post because starting over is too much work:
Equivalence for a lens means same DOF, same FOV, same noise, same diffraction, same perspective. Perspective is dependent on subject distance, so keep it the same for each system. Adjust focal length and f-number by the crop factor. Use ISO to equalize brightness. Here are a few equivalents:
Nikon V1, 1" sensor, 100mm f/2.0, crop factor 2.7X
@ 10 ft. subject distance, DOF is 0.13 ft.
@ 100 ft. subject distance, DOF is 13.4 ft.
Pentax K-50 APS-C sensor, 180mm f/3.6, crop factor 1.5X
@ 10 ft. subject distance, DOF is 0.13 ft.
@ 100 ft. subject distance, DOF is 13.4 ft.
Nikon D800, FF sensor, 270mm f/5.6, crop factor 1X
@ 10 ft. subject distance, DOF is 0.13 ft.
@ 100 ft. subject distance, DOF is 14.1 ft. (The DOF calculator would not allow f5.4, which explains the slight difference in DOF at 100 feet).
http://www.dofmaster.com/dofjs.html
Now let's look at noise equivalence using DXOMark:
Nikon V1, 100mm, 1/300s, f/2.0, ISO 100; SNR is ~35dB
Pentax K-50, 180mm, 1/300s, f/3.6, ISO 350; SNR ~35dB
Nikon D800, 270mm, 1/300s, f5.6, ISO 640; SNR ~35dB
Nikon D800 versus Pentax K-50 versus Nikon 1 V1 - Side by side camera comparison - DxOMark
In summary, photos taken with the above setups will be equivalent in FOV, DOF, perspective, diffraction and noise, i.e. equivalent photos.
I could show the same equivalence with Medium Frame given sufficient data. (Neither the DOF calculator nor DXO show data for MF). For equivalence to the above on a 645Z (0.79 crop), you would need a 340mm lens at f6.8.
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Dan