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Photo Forum / Film Photography / Darkroom / August 2004

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EV, fstop and timing calculations

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Craig Mason-Jones - 24 Aug 2004 09:58 GMT
Hi All,

I'm trying to build an enlarger timer that can do quarter-stop exposure
calculations. Working on the web (and glancing at Tim Rudman's f-stop
calculation table), I've concluded that the relevant formula is:

[t2] = 2 ^ (-1* ( ([scale] -1) * log2 ([f]^2) + [scale]*log2(1/[t1]) ) )

where
[t1] = initial time
[f]  = f-stop
[scale] = the amount by which one wants to scale (e.g. 1.5 would offer a
1/2 stop increase)
[t2] = the final time required (keeping the f-stop constant)

This is based on the idea that EV = log2( [f]^2 ) + log2 ( 1/[t] )

I've checked my values for Dr Rudman's table, and I'm correct per his
table for 2 seconds basic exposure and above, when INCREASING f-stops.

BUT, 3 questions:
1. If I start with a basic exposure of [t1]=1s, log2(1/[t1])=0 and
therefore no matter how large my [scale] value, my [t2] remains 1. (i.e.
My formula only works for values over 1s initial exposure)

2. My formula does not handle decreasing exposure. If I have a [scale]
of 0.5, and [t1]=2s, it suggests [t2]=1.4s, whereas of course 1s is
correct: half the exposure.

3. My formula includes the f-stop, and is (heavily) effected by the
f-stop. In fact, at an f-stop of 2, my times DECREASE as I attempt to
INCREASE the exposure - clearly nonsense. Dr Rudman's table seems,
therefore, based on the f-stop being f1, and not changing. I could
simply exclude it for the purposes of my calculation, but I would like
to understand why it is included in the calculation, and the logic of
excluding it before I do so.

Many thanks for any help,
Yours,
Craig

PS: To reply, please remove the trailing _remove from my email address ;-)
Severi Salminen - 24 Aug 2004 10:19 GMT
> Hi All,
>
[quoted text clipped - 3 lines]
>
> [t2] = 2 ^ (-1* ( ([scale] -1) * log2 ([f]^2) + [scale]*log2(1/[t1]) ) )

I'm not sure I understood you correctly. So you want to make a enlarger
timer where you can increase the time by stops, not with seconds? So if
you have 5s and you want to give 1/2 stop more you get 7.1s, right?

Then you need just:

t2 = t1 * 2^S

Where t2 is the new time, t1 is the previous time and S is the change in
stops.

Example: Add 1/2 stop to 5s.

t2 = 5s * 2^0.5 = 7.1s.

Example: Subtract 1/2 stop from 10s

t2 = 10s * 2^(-0.5) = 7.1s.

Example: Add 1/4 stop to 1s

t2 = 1s * 2^(1/4) = 1.2s.

Example: Subtract 2 stops from 40s

t2 = 40s * 2^(-2) = 10s

I most likely missed your point as I (also) don't understand why you
have to use EVs of f-stop, but please point me to the right direction if
this is not what you meant.

Severi S.
Craig Mason-Jones - 24 Aug 2004 10:37 GMT
Many thanks,

That's just what I was trying to work out, but had worked my way into
the most abstruse EV theory. Your formula gives the same values as mine
where mine was correct, but yours works for all the areas where mine didn't.

Thanks again,
Craig
Claudio Bonavolta - 25 Aug 2004 08:22 GMT
> Many thanks,
>
[quoted text clipped - 4 lines]
> Thanks again,
> Craig

I'm in the process of doing a similar thing (+ much more):
http://www.bonavolta.ch/hobby/en/photo/labsoft.htm

Go down to version 3 which drives directly the enlarger.
The RGB sensor is ready and software will be modified in following weeks.
The wet side will also be soon adapted.

Regards,
Claudio Bonavolta
http://www.bonavolta.ch
 
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