The harmonic minor scale has a distance of 1½ tones between the 6th and 7th degrees. The raised 7th degree is the only difference between the harmonic minor and the natural minor. This scale is often described as having an "Eastern" sound.
Here is the full fingering for the A natural minor scale in the open position, up to the high A.
The following example is derived from the notes of the A harmonic minor scale. Once again, learn it and then make up your own melodies from this scale.