Correct the record clearly
Do not hide the admission inside a paragraph of context. State the conclusion early. I was wrong about what happened, or I blamed you for something that was mine.
If other people heard the original claim, admitting fault privately may not be enough. Correct it with the same audience when doing so will not expose or embarrass the other person further.
Remove the invisible but
An admission loses force when it becomes I was wrong, but you also. There may be more than one issue, but this message is about your part. Save mutual analysis for a conversation they freely choose.
You can explain what changed your view in one sentence. The goal is to show considered judgment, not to argue yourself into a smaller share of responsibility.
- Lead with the corrected fact.
- Name the consequence of being wrong.
- Do not demand agreement about everything else.
Send it only to give something back
A clean admission can return dignity, clarity, or a truthful record to someone. It should not be a disguised test of whether they still care.
If they have closed ordinary contact, use at most one respectful request. A decline does not erase the admission; it simply means they chose not to receive it.