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The notes of the G-sharp major scale are: G#, A#, B#, C#, D#, E#, Fx, G#. The x you see is called a double sharp. (Double sharps raise a note higher by 1 whole step. Fx is actually G.) However, because of the simpler enharmonic equivalent of Ab major, which has 4 flats, Ab major is used a lot more than G# major ever is.
Like the familiar major, melodic minor, and harmonic minor scales, the harmonic major scale has the diatonic thirds property, which means that the interval between notes two steps apart (e.g. the second and fourth note, or the third and fifth note, etc..) are separated by a major or minor third, i.e. the interval of three or four semitones.