RE: Lighting Ratio

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I do not think that light meters and lens f/ stop detents are in thirds
by accident as your question suggests.  There is a mathematical reason
for these 1/3 divisions.  Specifically, a 1/3 division is handier than
any other because many photographic values are logarithmic.  For
example, the H&D curve is in logarithmic values; the x axis, (exposure)
is the log of exposure (log E) and the y axis, (density) is the log of
opacity.  A one stop change is a doubling or halving of exposure and
represents a relationship of 1:2 (or 2:1).  The log of 2 is 0.30.  A one
third stop is 0.10, a nice even value.  Any other change (e.g. a half
stop) works out to an odd log value. Thus one third stop detents are
widely used because they are very handy to work with.  


-----Original Message-----
From: owner-photoforum@listserver.isc.rit.edu
[mailto:owner-photoforum@listserver.isc.rit.edu] On Behalf Of Gregory
Fraser
Sent: 03 October, 2003 11:13 AM
To: List for Photo/Imaging Educators - Professionals - Students
Subject: Lighting Ratio

Why is the illumination difference in a 3:1 lighting ration 1 1/3 stops
and not 1 1/2 stops? Is it because the f-stops on cameras and meters
tend to be divided into thirds or is there a mathematical reason?

Greg


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