Originally posted by Cannikin
As I feared, caught up on an irrelevant analogy as if it somehow proves a point on this topic. Btw, in most cases you can't "test drive" systems/lenses in the conditions you need them, no more than you can go to a dealer and tell them "let me test drive all your cars on this steep, rough, backcountry road 100 miles away that I regularly go up".
All right, and if I'll tell you how my car behaves in the 4th gear, would it help? No, because your backcountry road is steep and you'll use a lower gear.
Originally posted by Cannikin
Sure, here you go: AOV = 2 arctan(d/2f). Also, please let me know a good technique to memorize what all angles of view in degrees looks like without referencing any other camera/lens.
Why would you do that?
Again, you're intentionally complicate things that can be done in a simple and efficient manner while conveniently "forgetting" issues with the "equivalence" system . Google "angle of view calculator", for example (there are some that accepts the sensor size, instead of "crop factors"). You might know by heart all the values for the 35mm format (do you?), but I don't, and I'll have to use one anyway.
Originally posted by Cannikin
Now the real question is, do any of you people who regularly complain about this affront to your eyes that is "equivalency" actually use multiple systems? Because I do, and no I do not have an FF camera (besides an old film one). I use both Pentax APS-C and Micro Four Thirds.
Is this an appeal to false authority fallacy?
Even if I'm an APS-C user, I used 35mm (film) in the past; and occasionally I would grab some other format. It's usually when I don't have the camera in my hands that I'm applying "crop factors"; when I do, a simple mental hint and - most important - the visual clues by looking through the viewfinder are enough and I'll build up the memory of how that format behaves. No need of constantly applying "crop factors" on the field.
But then, I'm not doing precise inter-format AoV and DOF calculations.
By the way, what you're doing is "converting" both systems you are using to one you're not. Just add about 30% to the m4/3's focal lengths and you'll get the focal length that would give you approximately the same angle of view on APS-C.
Originally posted by Cannikin
Now I didn't bother wasting any money on a m4/3 kit lens. One of my favorite lenses to use on Pentax APS-C is the FA 31mm f/1.8 for reasons of AOV and DOF. The first lens I bought for m4/3 was the 25mm f/1.4. Wanna know why? Because I knew that the approximate FOV and DOF of the FA 31 in 35mm terms is ~47mm f/2.7 and the 25mm f/1.4 is 50mm f/2.8, so about the same. I did this by memorizing two very simple numbers: 1.5 and 2. Using these two numbers, I can calculate in my head in seconds and visualize any equivalence between lenses of the two systems I do use APS-C <-> 35mm <-> M4/3. Somehow, knowing FF equivalence makes my life so much simpler. Shocking isn't it? And if Pentax ever releases an FF, well I don't need to learn any more numbers because I already did.
The problem with the "equivalence" advocates is when they don't understand the limits of scenarios like the above.
Originally posted by Cannikin
Now please tell me why the hell I should go and run through complex, impossible to do in your head (and in the case of DOF, not precisely defined) formulas to get AOV in degrees and DOF in terms of length, and somehow figure out a way to associate visualize that, instead of visualizing things in terms of something I'm already familiar with (APS-C AOV and DOF) with a very simple 2 step multiplication process.
To prove how difficult things are, without "equivalency"?

I thought you're visualizing things in terms of something you're not familiar with, i.e. 35mm.
By the way, all those precise in-your-head calculations becomes useless after a simple crop.