tone row
An ordered sequence of all twelve chromatic pitches, used as the structural basis for twelve-tone and serial compositions.
In Depth
A tone row (also called a note row or series) arranges all twelve notes of the chromatic scale in a specific order, with no note repeated until all twelve have been sounded. This row then serves as the melodic and harmonic raw material for an entire composition. The row can be manipulated through four basic operations: the original (prime) form, retrograde (played backwards), inversion (intervals flipped), and retrograde inversion (backwards and flipped).
Arnold Schoenberg formalized the tone row system around 1921 as a method of "composing with twelve tones related only to one another," ensuring that no single pitch dominated the music. Each of the four row forms can be transposed to begin on any of the twelve pitches, yielding 48 possible versions of any row. Despite this seemingly rigid system, the creative possibilities are vast — the choice of row, its segmentation, rhythm, and orchestration all remain in the composer's hands.
Alban Berg's Violin Concerto uses a tone row that actually contains major and minor triads within it, bridging the gap between twelve-tone technique and tonal harmony.