Derrel and Wayne are correct and Braineack's math is correct. In an appropriate comparison of like photos smaller sensor cameras produce more DOF.
To make any meaningful comparison in this discussion you must make a comparison of similar photographs. The content and perspective in the two compared photographs must be identical as must also be the photographic conditions -- same exposure, which means same f/stop etc. Therefore both photographs must be taken from the exact same location and the angle of view of the camera/lens systems must be adjusted to produce identical content. Both photographs must be taken using the same photographic conditions, i.e. exposure. All other comparisons are worthless.
Comparing like photographs using different format cameras a photo taken with a smaller format sensor will have more DOF than the same photo taken with a larger format sensor.
..........f^2
H = ----------
..........Nc
The above equation is standard. If you dispute it then you're denying accepted math and are certifiable.
"H" is hyperfocal distance, "f" is focal length, "N" is f/stop and "c" is circle of confusion. It is likewise accepted math that c is determined by the size of the format. If you think sensor size does not effect DOF please show examples of this equation in which changing "c" has no effect on "H."
If you do the math for the above equation so that two different format cameras are taking the exact same photograph you get different values for "H" proving mathematically that you get more DOF from a smaller sensor camera. The math in the illustration below is correct. Hyperfocal distance for the 7D is closer to the camera and that means there's more DOF.
Joe
You just compared to different lenses on two different sensors.
If you compare a 50mm prime on a full frame sensor and a 50mm prime on a cropped sensor, look at the DEPTH OF FIELD.
Even at the same aperture, the depth of field will be smaller on the full frame.
I compared
the same photograph taken with two different cameras. A comparison that would be interesting and meaningful to a photographer.
You can't take
the same photograph with a 50mm lens on a FF camera and also a cropped sensor camera. So if you compare an apple with an orange and proclaim that they're different what was the point of your comparison? My niece would say, "duuuuhhhhhh."
Joe
My line of thinking is that you can get a 50mm 1.8 prime for both a full frame or crop sensor.
Took a photo with both @ f1.8 you will notice that the full frame has more bokeh.
Its slight, but its there. Is it worth spending the money for full frame? Possibly, but probably not.
I'm wondering if I'm talking about something entirely different than everyone else.
I'm not saying that the physical aperture of a lens actually changes when you put it on a cropped sensor. That would require us to be in the Twilight Zone.
What I'm saying is that an identical lens will take different pictures when mounted on a full frame vs cropped sensor.
The majority of my point is that to find out what the EQUIVALENT lens would be on a full frame, you would need to multiply BOTH the focal length and the aperture by the crop factor.
Everyone seems to understand that a 50mm lens on a crop sensor will have the equivalent focal length of 75mm (if its a 1.5x crop)
My entire point was that if you shot that 50mm lens @ f1.8 on a crop sensor, the equivalent performance would be that of f2.8 . NOT f1.8.
Thus, a 50mm 1.8 lens on a cropped sensor has very near performance to a 75mm f2.8. Its still a 50mm 1.8, but it functions differently when on a crop sensor.
A lens on a crop sensor at f1.8 is different from a lens on a full frame sensor at f1.8.
What is upsetting to me is that we use the same terms for both formats. A 50mm f1.8 on a cropped sensor is a very different experience than a 50mm f1.8 on a full frame.
For marketing purposes, it would be more accurate to instead name a APSC 50mm 1.8 a 75mm f2.8 instead. Because that's the performance you're going to get out of it.
Yes, technically speaking the lens physically hasn't changed. It just will perform differently. That's all that matters to me.
My point is that people want to convince consumers that a 17-50 f2.8 lens (on a crop sensor) will perform the same as a 24-70 f2.8 (on a full fram). That's just not true.
Yes, the focal range will be near the same but the depth of field on the cropped lens will not be the same at f2.8 as it is on the full frame.
The depth of field on the cropped sensor lens @ f2.8 will be very close to the full frame lens @ f4.
My point is that while I admit that f2.8 on a crop sensor is still a fast aperture, sometimes you want that extra bokeh. I buy f2.8 lenses to shoot at f2.8. If I'm shooting at f2.8 I want the bokeh that f2.8 delivers. Not f4.