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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.
The harmonic major scale is a diatonic tonality like major, melodic minor, and harmonic minor. Each pair of notes two degrees apart in the scale (e.g. its 2nd note and 4th note) form the interval of a major or minor third, as is also the case for the major, melodic minor, or harmonic minor tonalities,