When did Arnold Schoenberg develop the 12-tone method?

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Arnold Schoenberg developed the 12-tone method near the end of July 1921.

Following a period of experimentation after moving away from traditional tonality, Schoenberg sought a new principle of unification to manage his harmonic and melodic resources. He famously announced to a pupil that he had discovered something that would ensure the supremacy of German music for the next 100 years, which was his system of using 12 tones related only to one another. He subsequently began working on his Piano Suite, Op. 25, which was the first composition to utilize this technique.1