South Australia opener Jake Weatherald made his first ton of the Sheffield Shield season before veteran Tasmania paceman Peter Siddle snared two wickets before tea on the first day.
Weatherald made a neat 100 and combined with Nathan McSweeney (60no) in a 149-run stand for the third wicket at Hobart's Blundstone Arena.
The Redbacks were 4-190 at tea after Siddle removed Weatherald and Jake Lehmann (two) on the cusp of the break.
Siddle (4-45 off 18 overs), sporting a peroxide blonde hairstyle, was the pick of the bowlers.
The Redbacks were in early trouble at 2-17 after Siddle claimed the early wickets of captain Henry Hunt (one) and Daniel Drew (11).
Tasmania had won the toss and sent South Australia in to bat and Siddle posed plenty of questions early with his nagging seamers.
Left-hand batter Weatherald struck 16 boundaries, including two sixes, and was particularly savage through the off side in a confident counter-attacking innings.
McSweeney offered sensible support and was an excellent foil for his more aggressive batting partner.
Tasmania sit second on the Shield table behind Western Australia after a hard-fought four-wicket win over Victoria in their most recent match.
South Australia are second-last with two losses and three draws so far this season.
This fixture is both sides' last before the Shield takes a mid-season break for the BBL.