Relating to or characteristic of art or artists; showing artistic skill or taste (archaic form of 'artistic').
From artist plus -ical (variant of -ic or -ical suffix). This form is largely archaic; 'artistic' is the modern standard.
English has lots of variant suffixes like -ic and -ical that mean almost the same thing—'historic' vs 'historical'—but over centuries, one version usually wins out, which is why 'artistic' defeated 'artistical'.
Complete word intelligence in one call. Free tier — 50 lookups/day.