The Rays blanked the Twins for the second straight day and threw their 15th shutout of the season. Tampa Bay beat Minnesota for the 11th time in a row.
Baltimore’s wild-card hopes were dented by a 4-3 loss to Toronto.
Colby Rasmus hit a two-run home run in the seventh inning to lift the Blue Jays into the lead, while reliever Jeremy Jefress (1-0) won for the first time in more than two years.
In the tight National League Central, Pittsburgh moved back into a share of the lead with a 2-1 win over the Chicago Cubs.
Pirates’ rookie starter Gerritt Cole (8-7) gave up one run in seven innings, striking out seven.
Marlon Byrd hit a solo homer in the seventh to complete the scoring, after Jose Tabata had gone long earlier for Pittsburgh.
St Louis lost their solo grip on top spot, suffering a 4-1 home defeat against Seattle.
Mariners’ rookie James Paxton (2-0) pitched six scoreless innings, giving up only two singles.
Cincinnati kept pace in the division race with a 7-3 victory over Milwaukee.
Joey Votto and Choo Shin-soo each hit two-run homers for the Reds. Votto had three RBIs, including the towering drive of the right-field foul pole in the sixth.
Atlanta widened their lead atop the National League East to 11 games — with only 14 to play — by beating San Diego 2-1.
Kris Medlen pitched 7-1/3 scoreless innings to win his fourth straight start.
It was the Braves’ first win of the season over the Padres, having lost the previous four.
The Los Angeles Dodgers hold a similarly commanding lead in the National League West, sitting 11.5 games clear, but suffered a 19-3 belting at the hands of the San Francisco Giants.
The 19 runs were the most Los Angeles has ever given up at Dodger Stadium, having conceded 19 in a 1961 game when they played at Memorial Coliseum, the year before Dodger Stadium opened.
Hunter Pence hit a grand slam and had a career-high seven RBIs for the Giants.
The Philadelphia Phillies ended the Washington Nationals’ seven-game winning streak with a 5-4 win, as Carlos Ruiz had two doubles and three RBIs, while John Mayberry homered.
The Arizona Diamondbacks beat the Colorado Rockies 9-2, with the game of two also-rans overshadowed by the announcement that longtime Rockies star Todd Helton plans to retire at the end of the season.
Los Angeles’ Jered Weaver pitched six solid innings to guide the Angels to a 6-2 win over the Houston Astros.
Miami and the New York Mets split a double-header, with the Marlins winning the day game 3-0 and the Mets taking the nightcap 3-1.