CINCINNATI (Interstat) — Brandon Woodruff struck out 10 over six dominant innings and the Milwaukee Brewers edged the Cincinnati Reds 2-1 in 10 innings Monday night at Great American Ball Park.

Woodruff allowed just one hit and no runs, walking none in a performance that matched zeros with Cincinnati starter Brady Singer, who also threw seven shutout innings with seven strikeouts while yielding only two hits. The game remained scoreless through the regulation nine innings, with both offenses stymied by a parade of relievers before the Brewers broke through in the 10th.

Milwaukee improved to 47-29, the best record in the National League. Cincinnati fell to 37-40.

The attendance was 17,971, and the game lasted 2 hours, 28 minutes.

Singer and Woodruff traded clean innings from the outset. Milwaukee’s best early chance came in the second inning when William Contreras and Jake Bauers drew walks, but Singer stranded both runners by striking out Garrett Mitchell and getting Sal Frelick and Joey Ortiz on groundouts. The Reds managed only one base runner through the first six innings — Tyler Stephenson’s line-drive single to left in the sixth — and Woodruff erased that when he struck out Matt McLain and got Blake Dunn to fly out.

Milwaukee put a runner in scoring position in the fourth when Brice Turang doubled to right with one out, but Singer retired the next three batters. The Brewers threatened again in the seventh when Garrett Mitchell singled off Singer with two outs, but Frelick lined out to right to end the inning. Singer departed after the seventh, having thrown 93 pitches, 66 for strikes. He faced 25 batters and did not issue a walk.

The Reds turned to reliever Sam Moll in the eighth, and he struck out two in a perfect frame. Brock Burke followed with a scoreless ninth, striking out one, but the game moved to extra innings after the Brewers stranded a two-out Turang single in the top of the ninth.

Under MLB’s extra-inning rules, each half-inning begins with a runner on second base. Milwaukee’s Jake Bauers started the 10th at second as the automatic runner. Garrett Mitchell walked, and Frelick sacrificed the runners to second and third. Joey Ortiz then lifted a sacrifice fly to right field, scoring Bauers. Mitchell advanced to third on the play and later scored when Cooper Pratt grounded out to second, though the official scorer credited Pratt with an RBI on the fielder’s choice. The Brewers took a 2-0 lead into the bottom of the 10th.

Cincinnati’s automatic runner, Blake Dunn, began the 10th at second. JJ Bleday grounded out to second, sending Dunn to third. Sal Stewart then grounded out to third, scoring Dunn to cut the deficit to 2-1. Dane Myers singled sharply to center off Milwaukee closer Joel Kuhnel, but Spencer Steer grounded out to third to end the game. Kuhnel earned his fifth save of the season, pitching a scoreless 10th while allowing one hit and one unearned run.

Trevor Megill (2-2) got the win for Milwaukee, throwing a perfect ninth inning with one strikeout. Tony Santillan (1-3) took the loss for Cincinnati, allowing one earned run on no hits and a walk in the 10th.

Woodruff’s start was his second consecutive with double-digit strikeouts. The right-hander threw 94 pitches, 67 for strikes, and did not allow a runner past first base. Singer matched him pitch for pitch, but the Reds offense managed only two hits total — Stephenson’s sixth-inning single and Myers’ 10th-inning single.

Milwaukee relievers Aaron Ashby and Abner Uribe each tossed a scoreless inning in the seventh and eighth, respectively, combining for three strikeouts. Cincinnati’s Tejay Antone worked a scoreless eighth, allowing one hit and striking out one.

The Brewers had three hits in the game: Turang’s double, Mitchell’s single and Turang’s single in the ninth. The Reds had two hits.

The game was a stark contrast to Interstat’s pregame simulation, which had projected a final score of Cincinnati 5, Milwaukee 4. Interstat’s ELO system gave Milwaukee a 61.90 percent probability of winning. The Brewers were installed as a pregame favorite with a spread of minus-1.5 runs. The total score of three runs went well under the over/under line of nine.

Milwaukee continues its series at Cincinnati on Tuesday, then returns home to face the Chicago Cubs over the weekend. The Reds host the Brewers on Tuesday before traveling to Pittsburgh on Friday.