This doesn’t answer the question as stated, but comments on practical ways to deal with the underlying question, “How do we determine the correct exposure time in enlarging.”
As a matter of practicality, the characteristic curve of an enlarging paper is not particularly useful for most individual users. One of the “Cut-and-Try” methods is generally most practical for home-based users.
We must test each package of paper by exposing and processing a small representative sample of paper from the package from which we intend to print.
This can be done in several ways:
1. Making a series of test exposures at progressive times on a single strip of paper and evaluating the results to find the approximate best exposure time. A 1” x 8” test strip uses 8 square inches of paper.
2. Making a 60-second exposure through a Kodak Projection Print Scale onto a 4” x 5” test sheet (uses 20 square inches of paper). The KPPS is no longer made, but can be found in decent condition used.
https://www.ebay.com/sch/i.html?_fr...nkw=kodak+projection+print+scale&_sacat=69323
Also, the similar Delta 1 Projection Print Calculator is still available.
https://www.bhphotovideo.com/c/product/15711-REG/Delta_12610_Projection_Print_Calculator_Scale.html
3. Estimating the initial time based on the intensity of the projection and using your experience to make a single exposure “test patch” of some convenient size (I use 1” x 2”). Use that result to adjust the time of the next test. Repeat until you find the best time. I can usually find the correct exposure within 3 or 4 test patches, sometime fewer. This uses 4 to 8 square inches of paper.
It’s also possible to use the Ilford EM-10 Exposure Monitor in conjunction with an exposure test to arrive at the correct exposure. Methods 1, 2, and 3 above are generally easier.
Once you’ve found the exposure time that gives you the required density, you can alter your filter choice to fine-tune the contrast. Some workers might have devised some variations on these ideas that they wish to share.