Chasing 177 for victory, the Tykes were 64-2 when the players went off with the scores tied on Duckworth-Lewis-Stern.
Joe Denly smashed 116 not out as several Kent records tumbled in their brilliant victory against Surrey.
Clint McKay took 5-11 - the best-ever T20 figures by a Leicestershire bowler - as the Foxes beat Worcestershire.
Northants overcame Birmingham Bears by five wickets in a final-ball thriller at Edgbaston, while Michael Carberry's superb 77 led Hampshire to a comfortable 29-run win over Middlesex.
But Friday's T20 Blast headlines belonged to Denly and McKay, whose record-breaking feats inspired their teams to success.
Given Kent had never chased more than 200 in a T20 match prior to Friday, they could have been forgiven for feeling pessimistic about hunting down Surrey's 205-5.
But, clearly inspired by Jason Roy (55) and Aaron Finch's (49) opening stand of 108 for Surrey, Denly and Daniel Bell-Drummond embraced the prospect of breaking new ground for their county.
They shared 163 for the first wicket - a new Kent record partnership - before the latter fell for 64, setting the platform for an eight-wicket win at The Oval.
Denly was in fine form throughout, smashing six sixes and 10 fours in his 63-ball unbeaten 116, also a T20 record individual score for Kent.
Veteran Australian seamer McKay was out to prove that bowlers can still thrive with the white ball.
The 34-year-old, who played 59 one-day internationals for his country, returned career-best figures in helping limit Worcestershire to 148-8, also taking the first five-wicket haul of this year's competition.
Colin Ackermann's unbeaten 47 saw the Foxes chase down their target with relative ease.
Who wins your performance of the night - Denly or McKay?

Healthwatch Oxfordshire went live on 1 April to represent consumers' views in health and social care after taking over from Oxfordshire LINk.
The body appointed to run it, Oxfordshire Rural Community Council, said it had only three weeks to launch.
The county clinical commissioning group said the situation was "only a small concern".
Healthwatch Oxfordshire is part of Healthwatch Network, a network of 152 community-focused local watchdogs.
The county council did not appoint any of the bidders who applied to run it, and awarded a temporary one-year contract three weeks ago to Oxfordshire Rural Community Council.
Its chief executive, Linda Watson, said they were trying to recruit staff as quickly as possible.
She said because of this short amount of time the body was still working out "how it is we're going to run the service and what we're going to operate".
Dr Stephen Richards, chief executive of Oxfordshire Clinical Commissioning Group, said the situation was "only a small concern" but that the "sooner Healthwatch can be fully staffed and up and running the better for all of us".
The Roses match between Yorkshire and Lancashire ended in a tie after rain brought their T20 Blast contest at Old Trafford to an early conclusion.
[NEXT_CONCEPT]
A newly launched independent health watchdog has no staff or dedicated phone line yet, the BBC has learned.