The following are examples of the harmonic minor scale in A at various positions on the mandolin neck. These examples assume standard mandolin tuning (G, D, A, E open mandolin strings lowest to highest).
The horizontal lines represent the mandolin strings where the lowest string is at the bottom. The vertical lines are the frets. The fret numbers are at the top of each pattern. The tonic of the scale (the first note) is in white. The dominant of the scale (the fifth note) is in gray.
These scale patterns can be transposed to other positions on the neck to produce other harmonic minor scales. Also, since not all of the patterns below start on the tonic of the scale the same patterns can produce other modes of the harmonic minor scale.