Summing up his performance: "It's disappointing, extremely disappointing - easy conditions and the greens were soft".
Jordan Spieth faces a good forecast and a long wait to take his two-shot lead into the third round of the British Open. Basically a go-for-broke strategy by the players at the bottom and middle of the field starting the weekend.
It may have been one of sports' better cases of very heavy lifting without knowing, for the list Grace shoved aside is heavy with golfing distinction. There are two par-5s.
Matt Kuchar is still second, as the two match each other across Royal Birkdale.
"I didn't know what was going on 18, I promise you", he told reporters. I didn't know 62 was the lowest ever but now it makes it even more special.
Grace's game is well suited for taking it deep on a links. "I hit a great wedge in there, just caught a fly, a little bit of a jumper and made it tough for myself".
There had previously been 31 rounds of 63 in major championships, 10 of which had come at The Open.
This was Grace's second time flirting with the magical number.
The lowest round in a women's major is 61, shot by Hyo-Joo Kim in the 2014 Evian Championship.
"Twenty-eight putts is quite a few putts to shoot 62", Miller said of Grace's round.
"I honestly didn't know", added Grace.
"But we'll see. I'm just happy with the way I played today, and should move up in the result list and hopefully get closer to the leaders".
During last year's Open at Royal Troon, Phil Mickelson claimed there was a "62 curse" after lipping out to reach the milestone in the first round.
Grace drained a 15-footer at the first, an 18-footer at the ninth and had a tap-in birdie at the par-5 17th. After a 326-yard drive, Grace had only a 210 yards into the green.
Grace put it to within 2 feet for his final putt. Grace, who began the day one stroke inside the cut line, was at 4 under.
There will surely be unresolved debate about what's better, a 62 on a par-70 course or a 63 on a par-72. Following a first shot into the fairway, Grace lined up for his approach in silence. Johnny Miller's world caving in.
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