I can see that I have really stirred things up. Almost everybody thinks that I am wrong. I am not going to reply to every single post, so here are instead two replies to all of you.
It seems that my opponents in this thread can be divided into two groups:
1. Those who do not agree that a 2.7x crop sensor behind an f/5.6 lens will receive the same total amount of light as a full frame sensor behind an f/15 lens.
2. Those who understand that my claim about the total amount of light is correct, but who also thinks it is irrelevant.
In order to keep some structure in the discussion, I will write one separate reply to each of those two groups. If you are in group #1, please reply to my other post.
This is my reply to those in group #2:
First, we have to ask the question:
Why is the OP of this thread interested in the aperture number of his lens?
The aperture will affect two properties of the final image:
- In all cases: The DOF
- In case he is short of light: The noise
So these two properties, DOF and noise, must be the relevant properties to compare if you want to compare the consequences of aperture size on different sensors.
Now, let us look at my claims in my first post in this thread:
"So if you have a crop factor of 2.7 and use a 100-300 f/5.6 lens, it will behave as a 270-810 f/15 lens would on full frame.
That is:
Depth of field will be the same.
Light gathering ability will be the same. (Which I later clarified to mean: Total amount of light gathered will be same.)
Noise in the full picture will be the same if both sensors are of equal technology."
Are these claims relevant if you want to compare DOF and noise?
Well, since claim #1 directly is a claim about DOF, it must be relevant when comparing DOF. (And so far nobody seems to have disputed this claim anyway.)
And since claim #3 directly is a claim about noise, it must be relevant when comparing noise. It is possible that it is wrong, but it cannot be irrelevant. (And when you have finished reading this post, you will probably also agree that the claim is correct).
So that leaves claim #2: That the total amount of light gathered will be the same. Why is that claim relevant?
It is relevant because the total amount of light gathered is the single property which explains almost all differences in noise in the full image when you compare modern cameras. So this is actually the reasoning behind my claim #3.
Oops. That was actually a totally new claim. And you are probably not going to believe this claim either unless I prove that I am right. So that is what I am going to do:
Looking at DxO's measurements for a camera is the easiest way to find out how much light was needed to get an image with a certain amount of noise in the full picture. Their "Sports (Low-Light ISO)" score on dxomark.com tells us the ISO which will produce a certain amount of noise for a given camera. I will refer to this score as the "ISO score".
ISO is proportional to the reciprocal value of the amount of light per sensor area. If Camera A has an ISO score of 1000, and Camera B has an ISO score of 2000, then Camera A will need twice the amount of light per sensor area to create an image with the same amount of noise.
If we draw the sensor area of these two cameras into the comparison, we can also find the difference in total amount of light which hits the sensor at these two ISO settings. The total amount of light is (sensor area) *(amount of light per sensor area). This value is proportional to (sensor area) / (ISO score).
For SLT cameras we will have to multiply the result by 0.7 since 30% of the light is lost before it hits the sensor. (Dxomark bases their score on the light which enters into the camera in direction of the sensor, not the light which actually hits the sensor after the mirror).
So let us look at some modern cameras:
So, there you have it:
Total amount of light explains dxomark's noise measurements within +/- 0.3 stops, even when comparing cameras with a 17x difference (more than 4 stops) in ISO score.
And that is why I find total amount of light very, very relevant when someone asks which result he should expect with a given combination of lens and camera.