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G - A - B - C - D - E - F# - G
The whole-half pattern from F to F in the key of C Major is w-w-w-h-w-w-h. If we flatten flat the 4th note, the B, we get w-w-h-w-w-w-h - the major scale pattern.
The whole-half pattern from G to G in the key of C Major is w-w-h-w-w-h-w. If we sharp the 7th note, the F, we get w-w-h-w-w-w-h - the major scale pattern.