Rudolph cut off by the Cardiff rain
Glamorgan 171 for 5 (Rudolph 65*) v Somerset
The spoils were shared in Cardiff where the match was abandoned after 17.2 overs of Glamorgan's innings which was set to leave a demanding target with Jacques Rudolph unbeaten on 65 off 37 balls.
Despite a 35-minute delay because of rain before the start there was no reduction in overs and, after winning the toss, Somerset, who had lost their previous nine games in the competition, elected to bowl first.
They quickly gained success when Lewis Gregory, with the second ball of his first over, had David Lloyd caught behind. Aneurin Donald, however, was soon into his stride, pulling Craig Overton for four, before sweeping him over the wicketkeeper for six.
Colin Ingram, who scored a 46-ball century against Sussex last week, then struck Tim Groenewald for fourteen runs in an over, which included a huge six fourteen rows back into the members enclosure.
Somerset took their second wicket when Donald skied Gregory to mid-on after scoring 24 from 13 balls, but Ingram kept attacking, hitting Allenby for another six, before he was caught on the midwicket boundary for 39 from 21 balls.
Glamorgan were 92 for 3 at the halfway stage, but then lost their fourth wicket when Andrew Salter was well held by Max Waller off his own bowling.
Rudolph and Chris Cooke maintained the momentum with a rapid partnership of 52 in 4.2 overs, which ended when Cooke struck a full toss from Groenewald to mid-off.
Rudolph then reached his fifty from only 28 balls, which included four fours and two sixes, with Glamorgan reaching 158 for 5 after 16 overs but after eight deliveries the rain returned.