Which Arnold Schoenberg work first completely abandoned a tonal center?

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Austrian composer Arnold Schoenberg in a suit, seated at a piano and holding a conductor's baton, appears to be conducting music in a wood-paneled room. — Arnold Schoenberg Austrian-American composer Arnold Schoenberg was one of the most influential teachers of music composition of the 20th century. He also was known for his creation of new methods of musical composition involving atonality, namely serialism and the 12-tone row.

The first work by Arnold Schoenberg to completely dispense with traditional tonal means of organization was the first of his Three Piano Pieces, Op. 11, which he completed on February 19, 1909.1

While Schoenberg’s earlier compositions were rooted in the chromaticism of the late 19th century, he began to move away from a central key in works like his Second String Quartet (1907–08). By the time he composed the Three Piano Pieces, Op. 11, he had fully transitioned into what is often called atonality—a style in which no single tonal center exists and any combination of tones may be sounded without traditional harmonic restrictions.123