I don't calculate out that f/16 is 3 stops difference from f/8. I just know it. But at one point I did have to use the trick to get there instead of it being purely memorized.
Err ... f8 to f16 would be 2 stops ?!?!?!?
Do you consider yourself a beginner ?
Well... probably not, though many here have more experience and skill.
But I just dont think you need that much help to learn this. All you ever need in practice is about f/1 to f/32. And thats few enough steps that you remember the numbers by heart very quickly.
Again, the thing that really helped me understand f-stops is that they are:
focal lenght / entry pupil size
After that, its very obvious/intuitive that its the diameter of an area, thus you need a 2x difference in f-numbers for 2 stops (4 times the amount) difference in light (etc), and sqrt(2) ~ 1.4 difference for 1 stop (2 times the amount) difference in light (etc) [because sqrt(2)*sqrt(2) = 2 by very definition of sqrt/square root].
It would be an interesting question if one couldnt use a more "intuitive" scale. Say you would invent the "inverse light parameter" which would just state how much the light is reduced, like:
ilp 1 = f/1
ilp 2 = f/1.4
ilp 4 = f/2
ilp 8 = f/2.8
ilp 16 = f/4
ilp 32 = f/5.6
ilp 64 = f/8
ilp 128 = f/11
ilp 256 = f/16
ilp 512 = f/22
ilp 1024 = f/32
For me as a programmer this wouldnt be very hard, but I guess thats (a) hard to write on a lens and (b) not so easy to memorize for any non-programmer.
What COULD make the whole system a lot easier is if we would use EV (exposure value) for all 3 variables:
ISO 3 = FEV -5
ISO 6 = FEV -4
ISO 12 = FEV -3
ISO 25 = FEV -2
ISO 50 = FEV -1
ISO 100 = FEV 0 (FEV = Film/Sensor Exposure Value)
ISO 200 = FEV 1
ISO 400 = FEV 2
ISO 800 = FEV 3
ISO 1600 = FEV 4
ISO 3200 = FEV 5
ISO 6400 = FEV 6
ISO 12800 = FEV 7
ISO 25600 = FEV 8
ISO 51200 = FEV 9
ISO 102400 = FEV 10
ISO 204800 = FEV 11
ISO 409600 = FEV 12
But this would have the problem that companies could no longer broast about the ISO capabilities.
A: "My camera manages ISO 800 well !"
B: "My camera manages ISO 1600 well !"
A: "Whow ! I need that camera, too !"
vs
A: "My camera manages FEV 2 well !"
B: "My camera manages FEV 3 well !"
A: "Meh. I'm already almost as good as you are !"
f/.5 = AEV -2
f/.7 = AEV -1
f/1 = AEV 0 (AEV = Aperture Exposure Value)
f/1.4 = AEV 1
f/2 = AEV 2
f/2.8 = AEV 3
f/4 = AEV 4
f/5.6 = AEV 5
f/8 = AEV 6
f/11 = AEV 7
f/16 = AEV 8
f/22 = AEV 9
f/32 = AEV 10
f/44 = AEV 11
f/64 = AEV 12
f/88 = AEV 13
f/128 = AEV 14
f/172 = AEV 15
f/256 = AEV 16
I guess that would actually work quite smoothly.
1/8000 sec = TEV -14
1/4000 sec = TEV -13
1/2000 sec = TEV -12
1/1000 sec = TEV -11
1/500 sec = TEV -10
1/250 sec = TEV -9
1/125 sec = TEV -8
1/60 sec = TEV -7
1/30 sec = TEV -6
1/15 sec = TEV -5
1/8 sec = TEV -4
1/4 sec = TEV -2
1/2 sec = TEV -1
1 sec = TEV 0 (TEV = Time Exposure Value)
Now thats extremely non-intuitive for obvious reasons, plus one would have to use negative numbers all the friggin time.
Anyway then one could just compute
EV = FEV + AEV + TEV
That would be easier for a newbie.
F-stops are for babies, call me when you get into t-stops.
Just for the record, the "t" of T-stop is always written uppercase.
f stands for "focal length".
T stands for "transmission".