One of my favorite discoveries, thanks to a suggestion a teacher made, was how inverting a pattern can help you learn something really difficult. I was learnin

One of my favorite discoveries, thanks to a suggestion a teacher made, was how inverting a pattern can help you learn something really difficult. I was learning Beethoven's Appassionata sonata and there's a section where the right hand has a series of five-note arpeggios that gradually decrease in register until the left hand takes over and continues down into the bass (while the right hand takes a climbing melody that originally started in the left). Those five-note arpeggios were really hard in the left hand. So the technique my teacher recommended was to basically play an inversion of the left hand pattern at the same time as the left hand was playing. So when the left hand started on a Db, the right hand started on an Eb an octave up, and then basically play a mirror version - mirrored by the physical key, so E vs C, Bb vs F#, etc. It sounded like crap, but it was very effective - since the right hand is stronger, the left hand would basically learn from the right. Pretty quickly, my left hand got very strong at that pattern and it became one of my favorite sections of the movement.