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The black key directly to the right of G is G-sharp/A-flat.
G Sharp
The G flat key is the black key left to G and right to F on the keyboard.
The black keys are considered half note keys.... For example.... if you put your finger on the G note..... If you go up to the black key to the right of it on the keyboard you will have G sharp,,,, if you go down to the black key to the left of the G note you will have G flat.... so the black have no note name of their own....
Any note which is "flat" is always one half step lower that the specific white note you're talking about, B-flat is one half step lower than B, so that is the black key just to the left of B. Thus A-flat is the black key just to the left of A, G-flat is the black key just to the left of G, E-flat is the black key just to the left of E and D-flat is the black key just to the left of D. For C-flat and F-flat, there are no black keys between B and C & E and F so therefore C-flat would have to be B and F-flat would have to be E. Any note which is "sharp" is always one half step to the right of the specific white note your labelling. Thus F-sharp is the black key directly to the right of F, G-sharp is the black key to the right of G, A-sharp is the black key to the very right of A. C-sharp is the black key to the right of C and D-sharp is the black key to the very right of D. For E-sharp and B-sharp, since there is no black key between the notes I mentioned above, E-sharp would sound the same as F and B-sharp would be the same as C. Most of the time when we're talking about "sharps" and "flats", we're referring to a black key.