 Mendelssohn also wrote a lesser @-@ known , early concerto for violin and strings in D minor ( 1822 ) ; four piano concertos ( " no . 0 " in A minor , 1822 ; 1 in G minor , Op. 25 , 1831 ; 2 in D minor , Op. 40 , 1837 ; and 3 in E minor , Op. posth . , a fragment from 1844 ) ; two concertos for two pianos and orchestra , E major ( MWV O5 ) , which he wrote at 15 , and A @-@ flat major ( MWV O6 ) , at 17 ; and another double concerto , for violin and piano ( 1823 ) . In addition , there are several single @-@ movement works for soloist and orchestra . Those for piano are the Rondo Brillante , Op. 29 , of 1834 ; the Capriccio Brillante , Op. 22 , of 1832 ; and the Serenade and Allegro Giocoso Op. 43 , of 1838 . He also wrote two concertinos ( Konzertstücke ) , Opp . 113 and 114 , originally for clarinet , basset horn and piano ; Op. 113 was orchestrated by the composer . 
