Surrey 195 for 9 (Jacks 60, Jordan 36*, Green 4-33) beat Somerset 167 for 9 (Banton 53, Abell 39, S Curran 5-26) by 28 runs
The battle of the most successful sides in the South Group drew a packed crowd of around 7,000 to the Cooper Associates County Ground where a straw-coloured pitch suggested they would witness a feast of runs.
After Craig Overton and Matt Henry had bowled the first two overs for four runs each, Jacks launched the Surrey assault with a six over extra cover off Overton.
Particularly strong through the off-side, Jacks then dispatched a Henry yorker through point for four and cleared the long-off ropes off Davey in leading his side to 44 without loss off the six-over power play.
Laurie Evans scooped a six off Lewis Gregory and pulled a maximum off Green, who broke the opening stand of 71 in the ninth over when Evans was pouched at deep mid-wicket by Abell for 28.
It was the first of four Abell boundary catches as Somerset backed their bowlers with some superb fielding. But they couldn't stop Jacks reaching a brilliant fifty off 37 balls, with four fours and four sixes.
Tom Curran fell to another Abell catch off Davey for 15 and Jacks departed when lofting a Roelof van der Merwe full toss to Henry at long-off.
Jamie Overton smacked 20 off just nine balls against his old county, including two sweetly struck sixes, before falling to the best of Abell's catches, a low diving effort off Green at deep mid-wicket.
But Tom Curran and Sean Abott fell cheaply and when Surrey reached the end of the 18th over on 155 for 7 it seemed they might fall short of a challenging total.
Jordan had other ideas, taking 30 off the penultimate over from Henry, which also included a wide. His sequence of scoring shots was 2,6,6,4,6,6 in a murderous exhibition of clean hitting.
It looked a match-turning contribution. Somerset were typically positive with the bat in response, Banton scooping a six over fine-leg and upper-cutting another over third man in the opening over, sent down by Abbott.
Will Smeed followed up with two fours off Sam Curran, who then stemmed the flying start by having him caught at deep cover. The standard of fielding was maintained when Gus Atkinson held an excellent catch at mid-on to dismiss Tom Kohler-Cadmore in Curran's second over.
Banton and Abell took the score to 51 for 2 by the end of the power play. Both looked in supreme touch as the partnership flourished, Banton sweeping a six and four off Sunil Narine's first over and Abell slog-sweeping sixes off successive balls in the off-spinner's second.
The fifty stand came off 28 balls as Somerset reached the halfway stage of their innings on 99 for 2. But the first ball of the 11th over saw Abell nick a catch behind off Gus Atkinson.
A six and a single off Narine, who switched ends, took Banton to his second Blast fifty of the season off 33 balls. Curran returned to end his innings, courtesy of a miscued drive to mid-off. The same over, the 14th, saw Sean Dickson run out in a mix-up with Gregory over a second run and Gregory pull a catch to deep mid-wicket.
Somerset were suddenly 120 for 6. Green gave them hope with two sixes and a four off Narine, whose four overs cost 55. But Jordan ended any doubt about the outcome by sending back Roelof van der Merwe and Green in the 17th over.