Archived posting to the Leica Users Group, 1997/04/24

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Subject: FRACTIONAL F-STOP CHART
From: Jim Brick <jim@brick.org>
Date: Thu, 24 Apr 1997 11:47:53 -0700

I made the following chart many years ago. I helps to figure just where a
particular lens is in relation to normal f/numbers. For instance, an Argus
C-3 f/3.5 is just 1/3 stop faster than f/4. An f/12 large format lens is
just 1/4 stop slower than f/11. The Leitz 350mm f4.8 Telyt-R is just
slightly slower than f/4 +1/2. It's helped me keep these things in
perspective. I printed it and reduced it a couple of times on a copier,
then laminated it and put it in my wallet. It's amazing how many times it
has been useful.

	FRACTIONAL F-STOP CHART
	-----------------------

f/no.	+1/4	+1/3	+1/2	+2/3	+3/4
- ---------------------------------------

f/2	2.2	2.24	2.3	2.5	2.6

f/2.8	3.1	3.2	3.4	3.5	3.7

f/4	4.4	4.5	4.7	5.0	5.2

f/5.6	6.1	6.3	6.7	7.1	7.3

f/8	8.7	9.0	9.5	10.0	10.4

f/11	12.0	12.6	13.0	14.0	14.6

f/16	17.2	17.6	18.6	19.7	20.2

f/22	24	24.8	26.4	28	29

f/32	34.5	35.6	37.7	40.6	41.2

_______________________________________
For those of you that are interested,
the way this works is as follows:
to get 1/4 & 1/3 stops between f/16 and f/22

take the LOG of f/16 (=1.2)
take the LOG of f/22 (=1.34)
subtract 1.34 - 1.2  (=0.14)
divide .14 by 4      (=.0350) this is the 1/4 increment
divide .14 by 3      (=.0467) this is the 1/3 increment

f/16 (1.2) + 1/4 (.035) = (1.235)
10 raised to the 1.235 power = 17.2
therefore: f/16 plus 1/4 stop is f/17.2

(LOG's are base 10)
________________________________________

Jim