Photo Engineer said:
Stephen;
Very good explanation. You must work for Ilford, Fuji, Agfa or Kodak.
The only comments I have are regarding the last paragraph:
"The second part of your question assumes each Zone has a corresponding print density. They dont."
In a negative, each zone is usually either 0.3 or 0.15 in Log E and changes in density as a function of the film curve. It is really an H&D curve. I don't follow this comment of yours at all.
"The resulting print density is determinant upon both the film and paper curve."
The final print scale is equal to the slope of the film x the slope of the paper at a given value of Log Exposure, or is the integral resulting from the multiplications of the equations that represent the two materials.
"One of the reasons why you might have come to the conclusion you have is because the gray scale that is usually presented has equally spaced values from black to white. This is simply misleading. I dont know if ZS examples use this for the sake of simplicity or because of its relation to the Munsel scale."
All photographic engineers use equally spaced 21 step charts for tests like this and construct a so called zone representation. Ours has 21 'zones' though and uses either 0.3 or 0.15 density unit changes per step. I have two sheets of 8x10 silver step scale in my darkroom right now for tests, including one with each density increment. They are very useful. One of my posted pictures here shows one of the step charts on the right of the photo.
The Munsel scale I'm familiar with is for color rendition, not B&W. So, if there is a Munsel scale for B&W we never used it in desigining photo products. I used it all of the time though for color products.
PE
I just wrote a rather long answer to your post and lost it when attempting to spell check. Forgive me, I just don't have the inclination to rewrite the whole thing. Still, I'll give the Readers Digest version.
Munsells color tree is comprised of the three component attributes of color. They are Value, later called Brightness, Hue, and Chroma, later called Saturation. Value is the apparent lightness of the color. Munsell used Value as the vertical trunk of the tree. Hue is the recognition of the base color, such as red, green, blue and it forms the branches of the tree. Finally, Chroma is the apparent concentration or purity of Hue and it is represented by the length of the branches.
For our purposes, we are only interested in the trunk. The height of the trunk consists of a spacing of 10 neutral Values in a perceived equidistance ranging vertically from black to white (Munsell notation N/0 N/10). The standard Munsell value unit is defined as one-tenth the difference in value between a Lambertian perfect diffusion surface of 0 percent and 100 percent reflectance when both are viewed on a background whose reflectance is around middle gray. Neutral gray is used because it is, in fact, a color with an absence of Hue and Chroma so it has is a commonality to all colors. Called achromatic, its appearance will not alter the color balance of the illuminating light source.
There are a number of papers on this issue. Munsell Labs published one in the late 1920s. A Subcommittee of the Colorimetric Committee of the Optical Society of America performed the first systematic investigation of the psychophysical properties of the Munsell system and formulated what has come to be known as the Renotation Munsell. Eventually, it was adopted into CIE Color in the 1940s. A book from the committee's report was published as The Science of Color.
The second part of my earlier post was written quickly. I had spent so much time on the first part to avoid misunderstanding that I had little left for the second part.
My point is that film and paper curves aren't linear, therefore, the resulting image will not accurately refect the scene's subject luminance range. If that is the case, then you can't have specific print values corresponding to exposure. It's more of a range of potential values.
I've attached a file comparing the different Tri-X emulsions processed to identical contrast indexes (adjusted for speed differences). As you can see, a specific exposure can produce differing negative densities. In another test comparing TXP to TX (also adjusting for speed differences), a stop difference in exposure was required to produce the same negative density in the midtone region. The shadow and highlight region tended to produce similar negative densities to identical levels of exposure.
Correct me if I'm wrong, but your example with the 21 step scale as a reference makes me think you are dealing with copy or reproduction which has a different set of criteria. This might explain our difference of opinion.
That's the short version. Parts are copied out of a manuscript I was writing on Middle Gray. This material came from the section on the psychological and psychophysical middle gray. The other two sections were on the physical middle gray and the meter's middle gray. Photo Techniques showed no interest, so I abandoned the article(s).