The chromatic scale is a musical scale with twelve pitches, each a semitone or half step apart. A chromatic scale is a nondiatonic scale consisting entirely of half-step intervals having no tonic due to the symmetry of its equally spaced tones. The most common conception of the chromatic scale before equal temperament was the Pythagorean chromatic scale, which is essentially a series of eleven 3:2 perfect fifths. The twelve-tone equally tempered scale tempers, or modifies, the Pythagorean chromatic scale by lowering each fifth slightly less than two cents, thus eliminating the Pythagorean comma of approximately 23.5 cents. Various other temperaments have also been proposed and implemented. The term chromatic derives from the Greek word chroma, meaning color. Chromatic notes are traditionally understood as harmonically inessential embellishments, shadings, or inflections of diatonic notes. The total chromatic is the set of all twelve pitch classes. An array is a succession of aggregates. See also: Tone row.The harmonic chromatic scale has a set form that remains the same whether ascending or descending and regardless of key signature

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