Jim, what we’ve been discussing is that a key signature of no flats and no sharps could be the key of C Major, or its relative minor, A minor. In that example, both scales would be all white keys on the piano.

That’s the simplest explanation I can think of. It’s why I mentioned above the odds are 50%. For any major key, like F, there is a relative minor using the same key signature, in this case Dm (both with one flat).


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