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Studies have suggested that even an increase of .20 density (which would be beyond the standard range) would only increase the dot gain 2%. Dot gain is changed by roller pressure, water balance, viscosity, temperature, ph&conductivity, more so than SID
I went looking for some plots I had of Dot Gain vs Density that were done over 20 years ago, where I worked. 6 inks were tested. None were as low as 2% over 0.20 density points. Some were just over 6%.
Certainly the results of this kind of a test can be related to the strengths of inks used. Even in my plots, there were differences in the reference CMY group and the CMY trial group. The studies you have seen might have also used a non normal ink set.
But if one just practically thought about this. If it would be so hard to obtain dot gain changes with density changes, then why is it that historically discussions of dot gain also talk about adjusting density to get it into the dot gain range one would want. I think it would be hard to tell a press operator that adjusting his densities will not affect his dot gains much.
I have also been at a test were changes in water settings were done at the same density levels and I was surprised to see that the dot gain was not affected much. It was very strange because I expected they would and especially at these high levels of water settings where the plate was very shinny due to the water.
I suspect this might have been due to the type of inks used but I don't know. It was just a very interesting result.
Again, in my view, controlling the density level is the critical factor during a run for the consistency and predictability of the print. It is the foundation of offset and is a prerequisite before other issues can be fully resolved.