Say I'm in the key of Am. A to C is a minor third. But would C be called the 3 (since it's the third note in the scale you're in - the Am scale), or would C be called the b3, since that's what it would be based on the A major scale? Thanks in advance.
b3. Whenever we number scales, we do it in comparison to the major scale.
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Which is why many don't worry about any scales besides the Major scale (or maybe the Major and the three defined minor scales) and relate to everything else as alterations of the Major scale.
It generally makes the theory a lot easier.
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I just think of the major scale as "King"
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