Ludeman smashed 54 off 33 deliveries ??? the highlight being three sixes in four balls off a Ben Hilfenhaus over ??? as the Strikers chased down the Hurricanes target of 136-8 with 33 balls to spare.
He was well supported by Jono Dean in a 75-run partnership ????? Dean was playing in place of the injured Brad Hodge ??? who smashed six sixes of his own.
Three of them came after the wicket of Ludeman in the 14th over, and after having cracked his first bat in half earlier in the innings.
His replacement willow did him no harm, as his last six took him to fifty and secured an impressive win.
Tait had earlier equalled his Big Bash-best figures of 3-22 as the Hurricanes collapsed from a strong start of 41-1 after five overs to 77-8 in the 15th.
He had initially contributed to that strong start ??? a poor first over carted for 14 ??? with Alex Hales finding some form (29 off 24) and pulling him over midwicket for six.
But following Hales??? dismissal to Johan Botha ??? he was stumped attempting another maximum ??? Tait bowled his remaining three overs for just eight runs, picking up the wickets of Evan Gulbis (2), Darren Sammy (1) and Joe Mennie (3) in a fast and furious spell.
Jonathan Wells managed to give the Hurricanes something to defend by striking an unbeaten 58 from 36 deliveries.
Botha, captain of the Strikers, perhaps should have saved Tait for an over or two at the end or bowled one of his other seamers, with Ben Laughlin (2-26) and Kane Richardson (1-12) still having overs in the bank.
Instead he bowled himself and Wells smashed him for two fours and a six in the final over to give the Hurricanes a sniff with a score of 136-8.
But on a good Adelaide batting track, the Strikers got off to another flier to chase down the total with ease.