pure (natural), harmonic, and melodic
pure minor-none of the scale degrees are altered
harmonic minor-7th scale degree raised a half step
melodic minor- 6th and 7th scale degrees raised ascending and pure minor descending
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Simply a minor scale
The difference between a melodic minor scale and a harmonic minor scale is that in a melodic minor scale, the sixth and seventh scale degrees are raised on the way up, and on the way down they are the same as they would be in natural minor. In a harmonic minor scale, only the seventh scale degree is raised and stays the same on the way down.
C is the third note of an A minor scale.
B flat is in the d minor scale.