song: Twin Peaks: Laura Palmer's Theme 
performance: Angelo Badalamenti explains how he wrote "Laura Palmer's Theme"
composer: Angelo Badalamenti (1990)

"old, beat-up Fender Rhodes": Angelo Badalamenti

This is a transcription of the performance by composer Angelo Badalementi which was part of the making-of documentary, "Secrets from Another Place: Creating Twin Peaks" (2007), released on the Twin Peaks: Definitive Gold Box Edition, and later uploaded to YouTube (click the video).
Angelo Badalementi reenacts the 'scene' when he and David Lynch conjured up this picturesque theme, and his intense narration adds a whole new aspect enhancing the music.
This theme is surprisingly easy to play, so this piece is an ideal beginner's piece for any fan of Twin Peaks.