In Minnesota's 20-14 win over the White Sox today, the teams scored in 14 of the 18 half-innings:

Minnesota at Chicago, 1st Game of DH, July 6, 2007

	1	2	3	4	5	6	7	8	9	F
Minnesota	4	1	1	6	2	0	4	2	0	20
Chicago	0	3	1	0	3	1	2	1	3	14

This tied an AL record that had been done earlier on:

Baltimore at Philadelphia, May 7, 1901

	1	2	3	4	5	6	7	8	9	F
Baltimore	1	1	1	0	1	4	1	3	2	14
Philadelphia	4	1	0	1	1	2	0	1	0	10

The NL had two games in the 1890s where teams scored in 15 half-innings. Philadelphia at Detroit on July 1, 1887 (Detroit won 17-13) and Boston at Washington on June 22, 1894 (Washington won 26-12 and scored in all nine times at bat. Washington opted to bat first, which was the home team's option at the time.) That line score is at the end thanks to Sam DC!

Notes about the 1927 Browns-Tigers matchup. According to the AP account of the game, Detroit used 21 players and six pitchers, which was an unheard of amount for the era. The game lasted 2 hours and 58 minutes. Also Browns rookie Fred Schulte was called out in the third inning for batting out of turn, he was the #5 hitter. The winning pitcher for the Browns, Sad Sam Jones, lasted just 4 1/3 innings (he was the starter, but the five-inning minimum rule was not in place). Jones gave up 5 hits and walked 8. Three Browns relievers walked five more. Detroit made six errors. Charlie Gehringer played in both the 1927 and 1940 game for the Tigers.

Sources: Sporting News Complete Baseball Record Book, Retrosheet, New York Times, Washington Post