A very good exercise (for both hands) is to try and play a two-hand piece with just one hand. There are many pieces that allow this. Two that come to mind are J.S.Bach Prelude 1 of the WTC, and C.P.E. Bach ‘s “Solfeggietto”. Just play these pieces (and other similar ones) using only one hand.
The pieces below all have challenging left hands, and at the same time are all worthwhile additions to one’s repertory. In another thread, Ted asked a most relevant question: “What do you do with your Czerny study after you master it?” With the pieces below you never need ask such questions. (And these are just a few)
Mozart: Variations on “Ah vous dirais je Maman”. Variations 2, 4, 6 and 12 are excellent for the LH. (Grade 5/6)
Mendelssohn:
Song without words Op. 30 no. 5 (grade 7/8) – Fast LH runs throughout the whole piece.
Song without words Op. 53 no. 3 (grade 6/7) – Very fast arpeggio figurations on LH with a powerful melody in chords on the RH. Good preparation for Chopin Op. 10 no. 12 (Revolutionary), which it reminds one of.
Schummann – Novelette (Bunte Blatter, op. 99 no. 9) – After a chordal introduction, the second part has a mist of sound created by a fast chromatic figuration on the LH.(Grade 6/7)
Shostakovitch - Prelude Op. 34 no12 – Fast LH figurations (not dissimilar to Czerny) in a “moto perpetuo” setting. Modern harmonies and “wrong note” writing. (Grade 5/ 6)
Alexander Tcherepenin - Bagatelle Op. 5 no. 6 – Very fast, repetitive arpeggio figurations on the LH. Modern yet tonal and with a minimalist idiom. (Grade 6/7)
P. D. Q. Bach – Prelude and fugue no. 1 in C from the “Short-tempered clavier”. A hilarious fugue with chopsticks on the RH and very fast scales over two octaves on the LH. An excellent encore. (Grade 4/5)
Chabrier – “Idylle” from Pieces Pitoresques. Contrary to the other pieces above, the RH is almost as busy as the LH in this delightful piece. The LH mostly plays broken octaves, skipping over two octaves. Excellent for skip accuracy. And it is a wonderful, hauntingly beautiful piece. (Grade 7/8)
Best wishes,
Bernhard