A piano concerto, a type of concerto, is a solo composition in the classical music genre which is composed for piano accompanied by an orchestra or other large musical ensemble. Piano concertos are typically virtuosic showpieces which require an advanced level of technique. Piano concertos are typically written out in music notation, including sheet music for the pianist (which is typically memorized for a more virtuosic performance), orchestral parts, and a full score for the conducting.
The standard practice in the Baroque and Classical eras (together spanning from circa 1600 to circa 1800), was for the orchestra to provide subordinate accompaniment over which the piano plays solo parts. However, at the end of the classical era, the orchestra had an equal role to the pianist and frequently had "dialogue" or "conversation" between the two. When music students and music competition auditionees play piano concertos, the orchestra part may be performed in an orchestral reduction, a conversion of the orchestra parts into a part for an accompanist playing piano or pipe organ, as it is very expensive to hire a full orchestra. Keyboard concerti were common in the time of Johann Sebastian Bach in the Baroque music era, during the Classical period and during the Romantic music era (1800–1910). Keyboard concertos are also written by contemporary classical music composers. Twentieth- and 21st-century piano concertos may include experimental or unusual performance techniques. In the 20th and 21st centuries, J. S. Bach's harpsichord concertos are sometimes played on piano. There are variant types of piano concertos, including double piano concertos, for two solo pianists and orchestra, and double or triple (or larger solo groups) concertos in which the piano soloist is joined by a violinist, cellist, or another instrumentalist.
During the Classical era, the form quickly took hold across Europe, especially Germany and Austria, becoming established with works especially by Mozart, along with lesser-known examples by Haydn, Carl Phillip Emanuel Bach, Carl Stamitz, and Joseph Wölfl. In the early Romantic period the piano concerto repertoire was added to most notably by Beethoven, Schumann, Mendelssohn, Chopin, Hummel, Ferdinand Ries, and John Field.
Well-known examples from the middle to late Romantic music era include concertos by Edvard Grieg, Johannes Brahms, Camille Saint-Saëns, Franz Liszt, Pyotr Ilyich Tchaikovsky, and Sergei Rachmaninoff. Alexander Scriabin, Antonín Dvořák, Edward MacDowell, and Franz Xaver Scharwenka wrote some lesser-known concertos during this time. In 1899, Amy Beach completed her Piano Concerto in C-sharp minor, the first piano concerto composed by a female American composer. Edward Elgar made sketches for a piano concerto but never completed it. In the 19th century, Henry Litolff blurred the boundary between piano concerto and symphony in his five works entitled Concerto Symphonique, and Ferruccio Busoni added a male choir in the last movement of his hour-long concerto. Wilhelm Furtwängler wrote his Symphonic Concerto for Piano and Orchestra, which lasts more than one hour, in 1924–1937. In a more general sense, the term "piano concerto" could extend to the numerous often programmatic concerted works for piano and orchestra from the era – Beethoven's Choral Fantasy. Liszt's Totentanz and Ruins of Athens Variations, and Richard Strauss's Burleske are only a few of the hundreds of such works. The few well-known piano concertos that dominate 20th-century and 21st-century concert programs and discographies are only a small part of the repertoire that proliferated on the European music scene during the 19th century.
The concerto for piano four hands is a rare genre, but Leopold Koželuch (1747–1818) wrote one (in B flat major, P IV: 8), and Alfred Schnittke (1934–1998) wrote another (in 1988).
Examples by Mozart and Beethoven follow this model, but many others do not. Beethoven's Piano Concerto No. 4 includes a last-movement cadenza, and many other composers introduced innovations. For example, Liszt's second and third concertos are played without breaks between the different sections, Brahms's Piano Concerto No. 2, Liszt's Piano Concerto No. 1 and Moszkowski's Piano Concerto No. 2 have 4 movements and Tchaikovsky's Piano Concerto No. 3 in E-flat major has only one ( Allegro brillante).
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