These were particularly influential innovations in 20th Century music.
Serialism
Schöenberg was the founder of serialism, a 12-note system that replaced tonality [Tonality: The organisation of melodies and harmonies to give the piece a centre key or pitch. ].
The composer first arranges the 12 notes of the chromatic scale in any order of his or her choice. This becomes the note-row.
All 12 notes are of equal importance and they should appear in the order of the note-row, although they can be repeated.
As well as using the note-row in its original form, it may be used backwards (retrograde), upside down (inversion), or both backwards and upside down (retrograde inversion).
Each of these can be transposed [Transpose: To rewrite a piece of music in a different key from the original. ] to begin on any note of the chromatic scale.
Playing the clips will help you to follow these changes.
Original
Retrograde
Inversion
Retrograde Inversion
Schöenberg's pupils Berg and Webern also took up serialism.
Berg was much freer in his approach and often brought in extra material not drawn form the series.
Webern was much stricter in his use of serialism.
Minimalism
This kind of music uses repeated ostinati [Ostinati: A phrase or pattern that is repeated throughout a section of music. ].
Small changes in musical phrase are introduced one by one.
This may include phase shifting in which parts gradually move out of sync with each other.
The music has a hypnotic quality.
Music technology may be employed.
Philip Glass and Steve Reich are prominent minimalist composers.
Listen to these two examples of minimalist music by Steve Reich:
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