Marco Gilardetti said:
Which is exatcly what I said: biasing and traslating, not mathematically in this case but by changing exposure. That was not the question.
The curves will not intersect by changing developement time, thus the so-called "pivot point" DOES NOT EXIST unless you change other parameters. I will be glad to learn something if someone can prove this sentence to be wrong.
Because Photography has to do with making pictures, and is not a pure science, everything about it is a systematic application of data and imagination. A craft, if you will.
Over the years there have been several systems for describing the mathematics of density and exposure. Some, like the system en vogue, derive from a more theoretical performance in the laboratory. Others, describe qualities of negative considered useful to image making but less useful to research applications.
As a forum of photographers, I felt it appropriate to respond as I did to Mr Leest's question. Expressed as a Zone System inquiry, I felt it appropriate to respond within the context of Zone System. This was not, I felt, a sensitometry issue.
Mr. White, Mr. Zakia, and Mr. Lorenz were quite significant in the photographic community before it existed in the virtual domain of the internet. Because much of the current discussion of 'serious' photography' here is heavily biased toward a particular interpretation of photographic practise, it may be assumed there is one way and one way only to work with curves. There is not. Alter the premise, and the identical logic presents a different picture.
If one assumes that curves must be drawn relative to Zone I, they obviously cannot intersect. Change the premise, and they must always interesect at V or VI, or wherever the photographer chooses.
This is all a bit like bicycles. All one sees in races today are fine instruments for going fast in races, and the assumption is that carbon fiber, titanium, and aero wheels are essential to being able to ride a bicycle efficiently. Many new to the sport are shocked to learn that there are 50 year old bicycles that can go quite fast, comfortably, when the premise is changed from a Team Time Trial in the Tour de France to an amateur's tour from Paris to Brest and back, or across the Pyrenees.
Today's time trial bicycles are brutally fast and aerodynamic, a great deal like Phil Davis' BTZS. Minor White's approach to photography is more like an Alex Singer rando bike. And in White' world, curves intersect whenever they need to, to make a good picture.
If I missed the point of your question, I apologize. It is cold and snowy today, and I would dearly love to go ride my bike !
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