Final answer:
The compositional technique invented by Schoenberg that served to organize pitches in atonal music is called the twelve-tone technique.
Step-by-step explanation:
The compositional technique invented by Schoenberg that served to organize pitches in atonal music is called the twelve-tone technique.
Twelve-tone technique, also known as dodecaphony, is a method of composition that uses all twelve pitches of the chromatic scale in a specific order called a tone row.
The tone row serves as the basis for the entire piece, with various transformations and manipulations used to create melodic and harmonic material.
This technique allows for the equal treatment of all pitches and eliminates the traditional hierarchy of tonality, resulting in a more dissonant and unpredictable sound.