Twelve teams tied May 30, 1884, for the second-most in one day, trailing only 13 on July 4, 1894, according to the Elias Sports Bureau.
The Tigers were one of three 11-10 games, with San Francisco beating Cincinnati 11-10 and the New York Mets topping the Chicago White Sox 11-10.
In the Detroit game, the two teams combined for 24 hits and two homers by Spencer Torkelson.
The Chicago Cubs topped the scoring Tuesday night by routing Washington 17-3 and Arizona outlasted Atlanta 16-13.
In more mundane 10-3 routs, the Los Angeles Dodgers beat Baltimore and Minnesota defeated Seattle.
Cleveland topped Pittsburgh 10-1 .
San Diego fell just short, stranding a runner at second in the ninth inning of a 9-1 victory at Toronto.
There were 15 games Tuesday – the completion of the suspended Giants-Reds game counts as Monday in the records.
There were 24 games on May 30, 1884, a year there were three major leagues: the National League, the American Association and the Union Association. Ned Williamson of the Chicago White Sox had the first three-homer game in big league history.
While there was just the 12-team NL on July 4, 1984, every team played a Fourth of July doubleheader.