on a something note

We began the second set on the same note, both of us thinking I had his number.

I want to end the season on a good note.

Or will he want another chance to end his career on a better note?

At least he was going out on a high note.

Who doesn't want to go out on a pretty note?

On a personal note, I would like to say two things.

On that note, I would like to thank you all.

On that note, I would say keep up the good work.

"Any reason to think she's not the person whose name is on the note?"

In fact, it is not likely to get any interest on the note for several years.