Fair question. Instructions from Epson; my own judgment when printing on the 3800 to Epson paper; and Eric Chan's website, a Principal Scientist at Adobe:
http://people.csail.mit.edu/ericchan...tml#native_res
"If the 'Finest Detail' driver setting is unchecked, the 3800's native resolution is 360 pixels per inch (ppi). If the 'Finest Detail' driver setting is checked, the 3800's native resolution is 720 ppi. For most photographs, I recommend unchecking (disabling) the 'Finest Detail' driver setting and preparing your final images at 360 ppi."
Chan explains that the 720 setting is for vector-based data including text, graphics, and line art. He speculates that prints will not benefit from higher resolution higher than 360, and that accords with my experience.
I have no doubt that your experience might differ, especially with different papers and inks, and recommend experiments.
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