Thanks very much for the response, but I'm not sure what you mean by "the terminals have not been set up properly."
On the machine I'm on at the moment (Ubuntu 16.04), I'm using Gnome Terminal 3.18.3, and the colors are set by selecting existing "Profiles" (or creating new ones) and, in each profile, there is a full set of 16 colors defined. Whether these colors are "all pleasant to look at" is, of course, subjective ('de gustibus non disputandum' as Horace said).
Part of my searching around was attempting to find a way to read these profile values, but I didn't find anything relevant; even so, I doubt if it would be usable in any cross-platform context. I did a locate on .Xdefaults and .Xresources as root and neither is present on this machine.
Life in the twenty-first century is so hectic; I guess I'll just drop back to the 1960s and output everything on paper tape, although now that I think about it, we had several different colors of paper tape available; if there was a reason for that, I can't recall.
But, again, thanks for responding...