A dunk by Davis, who had five points during the run, gave the Green Wave (12-3) a 38-36 lead, and Tarrant's three 3-pointers in a span of 2:33 broke it open. Tulane led 50-36 with 6:58 left.
Davis and Tarrant each finished with 15 points, and Davis had 13 rebounds in Tulane's 20th straight nonconference home win.
Tulane led 23-15 with 6:41 left in the first half, but the Terriers (6-8) took a 24-23 lead with nine straight points. Indiana Faithfull made a layup and assisted on three other baskets. It was tied 27-27 at the half.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.