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Music is an art form whose medium is sound. Common elements of music are pitch, rhythm, dynamics, and the sonic qualities of timbre and texture.

The creation, performance, significance, and even the definition of music vary according to culture and social context. Music ranges from strictly organized compositions, through improvisational music to aleatoric forms. Music can be divided into genres and subgenres, although the dividing lines and relationships between music genres are often subtle, sometimes open to individual interpretation, and occasionally controversial. Within "the arts," music may be classified as a performing art, a fine art, and auditory art. There is also a strong connection between music and mathematics.

To many people in many cultures music is an important part of their way of life. Greek philosophers and ancient Indian philosophers defined music as tones ordered horizontally as melodies and vertically as harmonies. Common sayings such as "the harmony of the spheres" and "it is music to my ears" point to the notion that music is often ordered and pleasant to listen to. However, 20th-century composer John Cage thought that any sound can be music, saying, for example, "There is no noise, only sound." Musicologist Jean-Jacques Nattiez summarizes the relativist, post-modern viewpoint: "The border between music and noise is always culturally defined—which implies that, even within a single society, this border does not always pass through the same place; in short, there is rarely a consensus ... By all accounts there is no single and intercultural universal concept defining what music might be."

Western cultures

The music of Greece was a major part of ancient Greek theater. In Ancient Greece, mixed-gender choruses performed for entertainment, celebration and spiritual reasons. Instruments included the double-reed aulos and the plucked string instrument, the lyre, especially the special kind called a kithara. Music was an important part of education in ancient Greece, and boys were taught music starting at age six. Greek musical literacy created a flowering of development; Greek music theory included the Greek musical modes, eventually became the basis for Western religious music and classical music. Later, influences from the Roman Empire, Eastern Europe and the Byzantine Empire changed Greek music.

During the Medieval music era , the only European repertory that survives from before about 800 is the monophonic liturgical plainsong of the Roman Catholic Church, the central tradition of which was called Gregorian chant. Alongside these traditions of sacred and church music there existed a vibrant tradition of secular song. Examples of composers from this period are Léonin, Pérotin and Guillaume de Machaut. From the Renaissance music era , much of the surviving music of 14th century Europe is secular. By the middle of the 15th century, composers and singers used a smooth polyphony for sacred musical compositions. The introduction of commercial printing helped to disseminate musical styles more quickly and across a larger area. Prominent composers from this era are Giovanni Pierluigi da Palestrina, Thomas Morley and Orlande de Lassus.

The era of Baroque music began when the first operas were written and when contrapuntal music became prevalent. German Baroque composers wrote for small ensembles including strings, brass, and woodwinds, as well as choirs, pipe organ, harpsichord, and clavichord. During the Baroque period, several major music forms were defined that lasted into later periods when they were expanded and evolved further, including the fugue, the invention, the sonata, and the concerto.Composers from the Baroque era include Johann Sebastian Bach, George Frideric Handel and Georg Philipp Telemann. The music of the Classical period  is characterized by homophonic texture, often featuring a prominent melody with accompaniment. These new melodies tended to be almost voice-like and singable. The now popular instrumental music was dominated by further evolution of musical forms initially defined in the Baroque period: the sonata, and the concerto, with the addition of the new form, the symphony. Joseph Haydn and Wolfgang Amadeus Mozart are among the central figures of the Classical period.

In 1800, the Romantic era  in music developed, with Ludwig van Beethoven and Franz Schubert as transitional composers who introduced a more dramatic, expressive style. During this era, existing genres, forms, and functions of music were developed, and the emotional and expressive qualities of music came to take precedence over technique and tradition. In Beethoven's case, motifs  came to replace melody as the most significant compositional unit. The late 19th century saw a dramatic expansion in the size of the orchestra, and in the role of concerts as part of urban society. Later Romantic composers such as Pyotr Ilyich Tchaikovsky and Gustav Mahler created complex and often much longer musical works. They used more complex chords and used more dissonance to create dramatic tension.