Gregor Townsend's side began "Super Saturday" dreaming of a maiden Six Nations title and the minimum of a first Triple Crown in 36 years.Â
But Ireland continued their remarkable decade-long dominance of the fixture with a 12th consecutive victory over the Scots.
Andy Farrell's men - Six Nations champions in 2023 and 2024 - found themselves requiring England to beat France in Paris in order to reclaim the ultimate prize and launch a St Patrick's weekend party.
But Ireland's dreams were dashed after defending champions France defeated England 48-46 with the last kick of the tournament to push them into second spot.
Scotland, meanwhile, finished third in the standings, having fallen short in their quest for a first Triple Crown since 1990 and a maiden Six Nations title.
"It's been a hell of an eight weeks and winning matters, but what's happened over that eight weeks matters more to us in a sense that there's a lot of firsts with the first caps, first Six Nations, first taking it to the final week when it matters for quite a few people in our group," Farrell said.
Ireland fullback Jamie Osborne and Scotland wing Darcy Graham each claimed their fourth tries of the tournament during a frenetic start before scores from Dan Sheehan and Robert Baloucoune helped the hosts into a 19-7 halftime lead.
Scotland flyhalf Finn Russell and co-captain Rory Darge crossed in the second period, either side of a finish from Ireland replacement Darragh Murray, but hope of a famous comeback was extinguished by a late double from Tommy O'Brien.
Scotland fell behind inside three minutes when Osborne dotted down under the posts to score for the fourth successive match before swiftly hitting back when Blair Kinghorn sent Graham over in the right corner.
Hooker Sheehan finished a lineout maul to restore the hosts' advantage in the 11th minute as the breathless beginning continued.
Ireland increased their lead when quick ball from a scrum on the left touchline culminated in jet-heeled Baloucoune darting to the right corner and bravely stretching for the line under pressure from Graham.
Russell breathed new life back into the contest by sneaking over the line in the 52nd minute and then converting to reward persistent Scottish pressure.
Momentum quickly swung back the other way, with lock Murray marking bulldozing over to secure Ireland's bonus point, with Crowley landing the third of his five successful conversions.
Scotland moved back to within four points when Russell added the extras after quick hands from Grant Gilchrist teed up Darge to charge over.
Ireland winger O'Brien raced clear on to Ciaran Frawley's pass to score before Crowley slotted a penalty as part of his 13-point haul to give the home team breathing space.
The majority of the capacity Aviva Stadium crowd were delighted further in the final minute when O'Brien burst away down the left to inflict more pain on Scotland.
