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Should A been chosen,the sound would have been that of a natural minor. If you mean why the letter C instead of A, we should go back to the Gregorian modes, where the C major was important as the Aolian mode, the Lydian etc. It was at this time that notes were given the names (A till G). At a later stage (Bach's time), the Mode starting from C was handpicked and it started being used as the main mode, with transpositions ranging from C till B. That is why C was "chosen" as the letters were chosen before the importance of each note.

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16y ago
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Q: How was the scale of 'C' chosen to be without sharps or flats Why not 'A'?
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