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A suite, in Western classical music and jazz, is an ordered set of instrumental or orchestral/ concert band pieces. It originated in the late 14th century as a pairing of dance tunes and grew in scope to comprise up to five dances, sometimes with a prelude, by the early 17th century. The separate movements were often thematically and tonally linked.  The term can also be used to refer to similar forms in other musical traditions, such as the Turkish fasıl and the Arab nuubaat.
In the Baroque era, the suite was an important musical form, also known as Suite de danses, Ordre (the term favored by François Couperin), Partita, or Ouverture (after the theatrical " overture" which often included a series of dances) as with the orchestral suites of Christoph Graupner, Telemann and J.S. Bach.
During the 18th century, the suite fell out of favour as a cyclical form, giving way to the symphony, sonata and concerto. It was revived in the later 19th century, but in a different form,  often presenting extracts from a ballet ( Nutcracker Suite), the incidental music to a play ( L'Arlésienne, Masquerade), opera, film ( Lieutenant Kije Suite) or video game ( Motoaki Takenouchi's 1994 suite to the Shining series),  or entirely original movements ( Holberg Suite, The Planets).
Estienne du Tertre published suyttes de bransles in 1557, giving the first general use of the term "suite" 'suyttes' in music, although the usual form of the time was as pairs of dances. The first recognizable suite is Peuerl's Newe Padouan, Intrada, Dantz, and Galliarda of 1611, in which the four dances of the title appear repeatedly in ten suites. The Banchetto musicale by Johann Schein (1617) contains 20 sequences of five different dances. The first four-movement suite credited to a named composer, Sandley's Suite, was published in 1663.  
The Baroque suite consisted of allemande, courante, sarabande, and gigue, in that order, and developed during the 17th century in France, the gigue appearing later than the others. Johann Jakob Froberger is usually credited with establishing the classical suite through his compositions in this form, which were widely published and copied, although this was largely due to his publishers standardizing the order; Froberger's original manuscripts have many different orderings of the movements, e.g. the gigue preceding the sarabande. The publisher's standardized order was, however, highly influential especially on the works of Bach.
Many later suites included other movements placed between sarabande and gigue. These optional movements were known as galanteries: common examples are the minuet, gavotte, passepied, and bourrée. Often there would be two contrasting galanteries with the same name, e.g. Minuet I and II, to be played alternativement, meaning that the first dance is played again after the second (but without the internal repeats), thus I, II, I.
The later addition of an overture to make up an "overture-suite" was extremely popular with German composers; Telemann claimed to have written over 200 overture-suites, Christoph Graupner wrote 86 orchestral overture-suites and 57 partitas for harpsichord, J.S. Bach had his four orchestral suites along with other suites, and Handel put his Water Music and Music for the Royal Fireworks in this form. Handel wrote 22 keyboard suites; Bach produced multiple suites for lute, cello, violin, flute, and other instruments, as well as English suites, French suites and Partitas for keyboard. François Couperin's later suites (which he called "Ordres") often dispensed entirely with the standard dances and consisted entirely of character pieces with fanciful names.
By the 1750s, the suite had come to be seen as old-fashioned, superseded by the symphony and concerto, and few composers were still writing suites during that time. But since the 19th century, composers have frequently arranged ballets, operas, and other works into suites for concert performance. Arrangement into a suite can make the music more accessible and available to a wider audience, and has greatly helped popularize the music itself, such as in Tchaikovsky's suite from The Nutcracker, or Aaron Copland's suite from Appalachian Spring. Suites for orchestra or concert band usually consist of one or more movements. An example is Grieg's Peer Gynt Orchestral Suites I and II, each consisting of four movements. Such suites may consist of
Carl Nielsen made a Suite for String Orchestra his Opus 1 in 1888 at the age of 23. In the late 19th century, Sibelius's Karelia Suite was written for the students of the Helsinki university.
Brought on by Impressionism, the piano suite was reintroduced by early 20th-century French composers such as Ravel and Debussy. Debussy's Pour le piano is a suite in three movements, published in 1901, and his Suite bergamasque, revised in 1905, is probably one of the most famous suites, especially the third movement, Clair de Lune. Ravel is particularly well known for his Miroirs suite for piano and lesser known for Le tombeau de Couperin, both requiring tremendous skill and dexterity from the pianist.
Arnold Schoenberg's first use of the twelve-tone technique throughout an entire work was in his Suite for Piano, op. 25. Modeled on the Baroque keyboard suite, the piece consists of six movements entitled Präludium (Prelude), Gavotte, Musette, Intermezzo, Menuett (Minuet, with Trio), and Gigue.
Other famous examples of early 20th-century suites are The Planets by Gustav Holst, a "Suite for Orchestra" in which each piece represents the astrological significance of one of the seven uninhabited planets then known, as well as his First Suite in E-flat and Second Suite in F for Military Band.
There are as well several examples of suites being used in the jazz genre. Perhaps the most notable composer is Duke Ellington/ Billy Strayhorn, who produced many suites, amongst them: Black, Brown and Beige, Such Sweet Thunder, The Far East Suite, the New Orleans Suite, the Latin American Suite, and many more. Suites are also used in free jazz ( Max Roach: Freedom Now Suite, Don Cherry, John Coltrane's A Love Supreme, etc.).
The dance suite was a collection of dance music popular in the Baroque era. It consists of the following movements in this order:
A suite may be introduced by a movement such as the following.
Between the Sarabande and Gigue, the following Galanteries may be included.