While the case where the DOF is equal is interesting,
It's interesting that you say "interesting". As I said earlier, it's curious to me that DOF plays less a role for some people's photography than does noise. I mean, I shoot wide open all the time, but that's because I love shallow DOF, not because I'm trying to reduce noise -- that's just a bonus. I shoot wide open even in bright light, having to drop down to ISO 50 just to be able to not overexpose the image.
Critics of FF always say how the DOF of FF is too shallow, failing to realize that you only need to stop down to achieve the same DOF with the same noise. ISO 100 on FF is not the same as ISO 100 on 1.6x -- ISO 250 on FF is the same as ISO 100 on 1.6x (for sensors of the same design and generation).
Because people compare images at the same f-ratios, rather than the same apertures (DOF), many myths of FF constantly get repeated.
I don't agree with the notion that it is the only proper comparison.
Oh, it's not the only proper comparison. I can see that you're resisting reading the essay I linked, since I've devoted no less than a whole chapter to exactly that:
http://www.josephjamesphotography.com/equivalence/
"SITUATIONS WHERE VIOLATION OF EQUIVALENCE IS VALID:"
I think things are more interesting in the case where the f/stops are equal.
It makes for a haphazard evaluation of systems. It's like someone else saying "I think noise adds to the photo, therefore noisier cameras are better."
These are the cases we actually want to be comparing to understand
the differences, so I'm quite reluctant to say that all the most
interesting comparisons improper.
Be that as it may, it is still "improper" to take a pic of a scene with a 5D at 50mm, f / 2.8, ISO 100 and talk about how it has softer edges and more vignetting, but less noise than an image from a 30D at 30mm, f / 2.8, ISO 100, when you could simply stop the 5D down to f / 4.5, ISO 250, and get an image with the same vignetting, same (or better) edges, and same noise.
Make the "proper" comparison (equivalent), and then discuss the options that are available for the larger sensor camera that are not available to the camera with the smaller sensor.
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--joe
http://www.josephjamesphotography.com
http://www.pbase.com/joemama/
Please feel free to criticize, make suggestions, and edit my photos. If you wish to use any of my photos for any purpose other than editing in these forums, please ask.