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EXPRESSIONISM

The term Expressionism was probably first applied to music in 1918, especially to Arnold Schoenberg, because like the painter Wassily Kandinsky he avoided traditional forms of beauty to convey powerful feelings in his music.
Expressionist music eliminate all of traditional music's conventional elements.

The three central figures of musical expressionism are Arnold Schoenberg and his pupils, Anton Webern and Alban Berg, the so-called Second Viennese School*.

SERIALISM
In music, Serialism is a method or technique of composition that uses a series of values to manipulate different musical elements.
Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though his contemporaries were also working to establish serialism as one example of post-tonal thinking (Atonality). Other types of serialism also work with sets, collections of objects, but not necessarily with
fixed-order series, and extend the technique to other musical dimensions (often called "parameters"), such as duration, dynamics, and timbre.
TWELVE-TONE TECHNIQUE
Twelve-tone technique (also known as dodecaphony, twelve-tone serialism), is a method of musical composition devised by Austrian composer Arnold Schoenberg.
 The technique is a means of ensuring that all 12 notes of the  chromatic scale are sounded as often as one another in a piece  of music. All 12 notes are thus given more or less equal importance, and the music avoids being in a key.
The technique was influential on composers in the mid-20th century.
              

ARNOLD SCHOENBERG
ANTON WEBERN

ALBAN BERG


* J. Haydn, W.A. Mozart & L.v.Beethoven were the First Viennese School in the Classicism.