A classical piano piece

[hwasin]

I've heard this song multiple times and I'm pretty sure at one point or another I knew it's name, but now I can't seem to find it at all. I think it's a fairly famous piece that is pretty standard in many pianists' repertoires.

It begins with the left hand doing some sort of repetition. The right hand is moving around, playing scales climbing with intermittent breaks as the left hand continues to accompany. The right hand at its peak goes up and down over five notes repeatedly until both hands break into chord progression. I'm probably transposing this, but the right hand/melody goes a little something like this during the scales:

A --- B C -- EDC G -- EDC

which repeats in a different key and register (??). The melody of the chord part (which I think is the most distinguishable) goes as the following:

E - D C B - C - A - B C E - D -

Thanks for reading o;

[DaveF]

The melody of the chord part (which I think is the most distinguishable) goes as the following:

E - D C B - C - A - B C E - D -

That looks very like the first movement, second subject of Beethoven's Waldstein sonata (piano sonata in C, Op.53), with a couple of adjustments (I would write it E - D C B - A - B - C D E - D -).  Your first two paragraphs are a good description of the opening of the piece, too, although I can't quite fit the first melody you quote into the picture.  But, yes, very famous, pretty standard for any pianist who is good enough - which not many are.  You need 3 hands to play the opening of the finale.

DF