Most Consecutive Games with Same Score (one team)

Another instance of one blog post inspiring another. I posted this a couple of weeks ago:

Now at the VORG, which date(s) in #MLB history featured the most common final score? http://t.co/jmCfFt2o05 #dougkern #espn

— Diane Firstman (@dianagram) September 11, 2015

And then friend of the VORG @BravesStats chimed in:

@dianagram Related request: Consecutive games by one team with same final score. — Paul (@BravesStats) September 11, 2015

So here are the three instances in MLB history in which a team has won/lost a record four consecutive games by the same score:

(*) – Also lost game 152 by same score, as part of a season-ending 13-game losing streak.