The tritone scale, C D♭ E G♭ G(♮) B♭, is enharmonically equivalent to the Petrushka chord, C C♯ E F♯ G A♯.
The two-semitone tritone scale, C D♭ D F♯ G A♭, is a symmetric scale consisting of a repeated pattern of two semitones followed by a major third now used for improvisation and may substitute for any mode of the jazz minor scale. The scale originated in Nicolas Slonimsky's book Thesaurus of Scales and Melodic Patterns through the, "equal division of one octave into two parts," creating a tritone, and the, "interpolation of two notes," adding two consequent semitones after the two resulting notes.
Read more about this topic: Hexatonic Scale
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