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The answer is 7 octaves plus a minor third. (A0 to C8)

Most grand pianos have 88 keys, which would give them a 7 octave plus m3rd range. However some older grand pianos have only 85 keys and even sometimes less, which would reduce the range of the piano.
On a normal piano (one with 88 keys), you have 7 1/3 octaves. There are 12 (chromatic) notes per octave.

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