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That piece was composed by a well known classical German composer Wolfgang Amadeus Mozart.
Info - The piece is fast, was composed and it is thought to have been composed in 1783.
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Wolfgang Amadeus Mozart composed the piece Rondo Alla Turca.
Rondo Alla Turca is a piano sonata (a piece written for a single piano) and it has 3 movements (parts of the piece that sound like they could go by themselves). It was composed (most likely) during 1783 and was published in 1784. Rondo Alla Turca is a Classical piece.