If different printers, inks and papers all can produce different max densities how is an image file mapped to the maximum density of the print? For example I may print an image on my 3880 with matte paper and 0,0,0 will give me a density of about 1.7. Print the same image with a fiber paper and photo black ink and it's about 2.1 or 2.2. The new P800 prints the same black at a DMax of 2.6. That's 3 stops denser than the matte paper and 1.5 stops denser than the old printer could do.
It's obviously not just the max blacks that got denser on the new printer, though the midtones and the highlights look the same. I don't think it's as simple as every tone got 20% darker (or some other number), but I haven't taken the time to print out equal patches (and my 3880 can only print on matte now, so it's a hard test to do) and compare the readings. Can anyone explain how printer profiles handle differing maximum blacks?
Is there something obvious I'm missing to accommodate the differences? Or will I need to adjust some of my previously worked images to print on the new printer, assuming I want them to have the same density?