On Friday, Franken addressed the subject for a third time, in an email to Tweeden. He apologized for the photo, but said, again: “I remember that rehearsal differently.”

Franken added, on the rehearsal incident, that “What’s important is the impact on you and you felt violated by my actions. For that I apologize.” The email was a classic I’m-sorry-if-you-were-offended apology that did not admit the behavior alleged.

In none of the statements did Franken say what his memory of the incident is.