This one’s going to be very tricky, because it’s an instrumental.
In the 1990s, I would often hear a piano-only instrumental as background music in PSAs and on PBS nature programs. It would start out as a single note, and then multiple notes in the treble register, and then the bass register would come in. It was maybe 2 minutes long when played in its entirety. I have not heard it in new programming for quite some time.
I have absolutely no idea what this tune is called, or who has performed it. I wouldn’t consider it classical.