On Wed, Jun 20, 2001 at 02:09:11PM +0300, Severi Salminen wrote:

> > that an +1/2 stop increment over f1.4 is f1.7 and not f1.8!

> I'd say not a big deal. Actually the right answer is not 1.7, but
> 1.6: sqrt(2)^sqrt(2)=1.63...

Where did you get that formula from?
It should be 2^(3/4) = 1.68...

Incrementing by a stop means multiplying by sqrt(2),
by N stops multiplying by (sqrt(2))^N -
thus half a stop means (sqrt(2))^0.5 = sqrt(sqrt(2)), 
a third stop (sqrt(2))^1/3, etc.

Thus, with three decimal places:

      full stop      +1/3      +1/2      +2/3
          1.000     1.122     1.189     1.260
          1.414     1.587     1.682     1.782
          2.000     2.245     2.378     2.520
          2.828     3.175     3.364     3.564
          4.000     4.490     4.757     5.040
          5.657     6.350     6.727     7.127
          8.000     8.980     9.514    10.079
         11.314    12.699    13.454    14.254
         16.000    17.959    19.027    20.159
         22.627    25.398    26.909    28.509
         32.000    35.919    38.055    40.317

> So in every case all these numbers are approximations.

Yes - but not only are they occasionally rounded wrong,
they are also are different depending on whether 1/2 or 1/3 
stop stepping are being used. 
If you have a body where it can be selected like EOS 3,
you can observe that 2.8 plus half stop is 3.5,
but 2.8 plus 2/3 stops is also 3.5!
(I don't have camera on me now so the numbers could
be wrong, but you get the idea.)

So if the camera displays 3.5 you can't know which it means 
without checking the CF that selects 1/2 vs. 1/3 step.

Not that it matters any in practice

> Think about the shutter speeds: 1/4, 1/8, 1/15!. 1/60,1/125! So in
> every case your pictures are ruined :)

-- 
Tapani Tarvainen
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