Six years after beating Tiger Woods head-to-head, England's Robert Rock achieved another personal milestone to claim the halfway lead in the Aberdeen Standard Investments Scottish Open.

Rock added a second round of 63 to his opening 64 at a defenceless Gullane for a halfway total of 13 under par and two-shot lead over compatriot Tyrrell Hatton and Sweden's Jens Dantorp, with Eddie Pepperell and 2015 champion Rickie Fowler another stroke back.

Lee Westwood was part of a four-strong group on nine under, with former Masters champion Trevor Immelman on eight under par alongside first-round leader Luke List.

Rock, 41, has not dropped a shot over the first 36 holes for the first time in his career and is in pole position to secure one of the three qualifying places on offer for next week's Open Championship, although he will be in Carnoustie anyway in his role as coach to a number of fellow players.

It was a day for low rounds around Gullane.

Scotland's Connor Syme set a new course record of 62 early in the day which was broken shortly before 8pm by Japan's Hideto Tanihara, who recorded an eagle and seven birdies in his first 15 holes to threaten the first 59 in European Tour history before eventually signing for a 61.

In contrast, five-time major winner Phil Mickelson missed the cut after finishing one under par, admitting: "I have some work to do on my game, I didn't play great. Now I'll have a couple of extra days to go over to Carnoustie and try to get it done." 

The Irish players had a mixed Day 2 with Paul Dunne missing the cut with an even par round of 70 leaving him stuck on three under par as the rest of the field shot low numbers. 

Graeme McDowell, however, enjoyed a better afternoon, hitting a 66 to leave himself on five under par and two strokes inside the cut line. 

Padraig Harrington barely improved on his poor 73 on Day 1 with a one over par round of 71 leaving at four over par, well shy of making the cut.