Can’t remember the name of it. I’ll give you the melody in the key of A:
E ABC#DE A A F# DEF#G#A1 A A
You must be thinking of the Minuet in G from the Notebook for Anna Magdalena Bach.
While this piece was not actually written by J.S. Bach, he collected pieces like this for inclusion in the book.
Can’t remember the name of it, but it is by Bach.
Also known as “A Lover’s Concerto” by the Toys. (“How gentle is the rain…”)
I love you all. Thanks.
I bet you heard it on a cellphone, right? 
Here’s a website which identifies classical tunes if you can tap in the melody on an on-screen keyboard. I’ve experimented with it; the database is small but apparently growing. It would have turned up the answer to your question, I think.
For those who answered the question: did you read that string of notes and hum it in your head, then identify it? Or can you identify it without the middle step (the turning into music one)?
Yes. No.
I was momentarily thrown off by going up a 4th rather than down a fifth, but believe it or not I recognized the shape of the rhythm a split second before the notes slipped into place . . . Ain’t music grand?
I was wondering if anyone was gonna get my odd rhythmic notation.
I “thought” it in my head, but didn’t hum or play it. I regognised it mostly from the A major scale patterns. I don’t think I would have understood the rhythm at first without having already heard the piece, though.
As a hijack from this specific thread, but in keeping with the title - Say, what’s the name of the classical piece or pieces often heard as “circus music”? Anybody know? Not calliope music, but the music that is associated with the Big Top. I know I heard it on a Classical Thunder TV ad, but I have no idea which piece it was.
You mean, C B BbBBbA Ab G Gb G?
If anybody knows an informal system of staffless notation better than the OP’s, I’d like to know it. I wonder about this a lot.
Yes Masonite, that’s what I was thinking too. It’s called “Entrance of the Gladiators” by a guy named Fucik (spell that one carefully!)
You can hear it here
Thanks, that’s most definitely it!