I think that the *istD is better at math than the PZ-1p.  According to my
calculations, half way between 2 and 2.8 is 2.378, but it depends on you
define "half way".

The relationship between f-stops is not linear.  f-stop is defined as the
ratio of the focal length to the aperture diameter, but the difference
between f-stop values is independent of focal length and diameter, as
follows:

Nf = f/d 

where Nf is the f-stop number (e.g. 2.8), f is the lens focal length and d
is the aperture apparent diameter, as viewed through the front element.

Also,

Nf = sqrt(2)^(n), 

which reads as "the square root of 2 raised to the power of n", where n is
an integer number. 

when n = 0, you have Nf = 1, for which the aperture diameter is equal to the
focal length.

Increasing 'n' by 1 corresponds to doubling the area of the aperture
opening, which is why the shutter speed doubles when you open the aperture
one full stop - the amount of light has doubled.  

Here is my F-stop table, where "f/" is the number commonly used to represent
Nf.

n       Nf              f/

0       1               1
0.5     1.189           1.2
1       1.414           1.4
1.5     1.682           1.7
2       2               2
2.5     2.378           2.4
3       2.828           2.8
3.5     3.364           3.5
4       4               4
5       5.657           5.6
6       8               8
7       11.31           11
8       16              16
9       22.627  22
10      32              32

I figure that half way between Nf = 2 and Nf = 2.8 is for n = 2.5.  Note
that the normal way of "rounding up" decimal numbers is ignored for f/ =
3.5, 5.6 and 22, they "should be" f/ = 3.4, 5.7 and 23.
 
Jim
www.jcolwell.ca



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