Thirty-eight seasons went by since the Cincinnati Bengals’ last tie, showing it takes something special to go through an entire game without someone coming out ahead.

Whatever it is, these Bengals have it.

A 13-13 tie with the Philadelphia Eagles on Sunday was only the second in franchise history. The last time the Bengals (1-8-1) played to a tie was 1969, when they were a second-year expansion team still trying to find their way. They went to Houston and played to a 31-31 tie in the Astrodome.

That was coach Paul Brown’s team, and it went on to lose its last five games after the tie, finishing 4-9-1. This one has a ways to go to keep up with that low standard.

The Bengals did a few things seldom seen in franchise history while slogging to their second-ever tie. They matched the club record for punts, failed to get into the end zone after a first-and-goal inside the 1, and blew a chance to win it at the end.

Shayne Graham was wide right by a few inches on a 47-yard field goal attempt in the closing seconds of overtime, clinching the NFL’s first tie in six years.

‘‘It feels weird,’’ receiver T.J. Houshmandzadeh said.

Weird, it was. Predictable, too.

The Bengals have been slogging along with a young defense that seems to be getting better and an experienced offense that’s going nowhere. Ten of their 13 points were set up by Donovan McNabb’s fumble and the first of his three interceptions.

They played five quarters, had 18 possessions, got the benefit of four turnovers and managed only 13 points.

‘‘For whatever reason, we had great field position and we just couldn’t get it done,’’ Houshmandzadeh said. ‘‘It’s how it’s been all season. I don’t know why it’s been this way. But had the defense not played they way they played, it would have been ugly out there. Offensively, we didn’t help them out at all.’’