When the subject luminance range is long, we are taught to contract it to fit onto the paper. But this disregards the shape of the curve and the local contrast effects of modified development.
This is true, but you shouldn't totally ignore that using the relationship between the negative density range with the paper's log exposure range can be an effective guide. And as with most things, things aren't as straight forward as you might expect. It doesn't make them wrong, just more complex.
Jones discusses the best way to relate the film to the paper in two rather tedious papers,
Control of Photographic Printing: Improvement in Terminology and Further Analysis of Results, 27 pages, and
The Control of Photographic Printing by Measured Characteristic of the Negative, 60 pages. Both published in the Journal of the Optical Society of America. These are the studies that helped to establish the LER ranges for paper grades and the NDR/LER matching system. He looks at a number of different ways to "match" film to paper and concludes,
"The procedure followed in obtaining a relationship between NDR and LER may seem forced and artificial. This we grant, and it must be born in mind that the print quality obtained by its use will not be the highest possible quality. But what other course is there to follow? Either we must make the best of a somewhat imperfect relationship or face the prospect of having no criterion whatever for choosing the paper contrast grade."
This doesn't mean anyone should throw the baby out with the bath water. It just means there isn't system that works perfectly every time. I've attached a graph from Jones' testing showing the variance in negative density ranges that yielded first choice prints on a grade 2 paper. What Jones found was
for the soft papers, the density scales of the negative (DR) should in most cases exceed the sensitometric exposure scale of the paper (LER), whereas, for the hard papers, the density scales of the negatives should in most cases be less than the sensitometric exposure scale of the paper (LER).
Michael, the method of matching the NDR with the LER isn't broken, there are just other factors involved. And you have pointed one out. While it is acceptable to compress the values from the highlights and shadows, the mid-tone gradient must exceed the mid-tone contrast of the original subject for the print to be perceived as being of high quality. They found the mid-tone gradient generally needs to be over 1.10. To fit the values from a subject with a high luminance range onto the paper, it is likely the mid-tones have to fall below the 1.10 gradient level. So even though the NDR matches the paper LER, unless the mid-tone gradient is greater than 1.10, the resulting print will probably not be acceptable. (This is another reason I like to use multiple quadrant reproduction curves. The fourth quadrant compares the print values to the original subject values. It's a very useful analysis tool. In fact, I just uploaded two examples. Fig 1 is a classic example for Normal and Fig 2 is for a 10 stop luminance range. Even though both film and paper match, there is a major difference in the reproduction curve.)
This all falls under the heading of subjective tone reproduction theory. I believe the third edition of the
Theory of the Photographic Process best covers this subject. The biggest variable is that the end product of the photographic process is subjective. This is where variance and statistics come into play. You determine the way something generally works in order to produce some form of guideline to get you close enough most of the time to make it work.
Another problem especially with long range subjects comes from the fact that paper can't reproduce specular reflections. In order to produce any tones above the reflectance of the paper, they have to be printed down but without loosing the impression of brilliance. Subjective tone reproduction makes my head spin, but objective tone reproduction makes little sense without it.