The harmonic minor differs from natural minor in that the seventh step i raised a semi tone. Again we have 7 different chord functions (or modes) for each key in the scale. Here they are listed in the key of a.
Plain harmonic minor. The scale is as follows
a b c d e f g^{\s} aAs guitar tabs
1:b1,c1,d1; 2:f1,g#1,a1; 3:c1,d1,e1; 4:g#1,a1,b1; 5:d1,e1,f1; 6:a1,b1,c1;The four tone arpeggio is
a c e g\sThat is a minor with a raised 7 - the chord is named "minor major seventh" and is denoted m^{\maj7} for A we get Am^{\maj7}
This mode resembles the Locrian mode for natural modes but with a raised 6'th step. In the key of a we get
a b^{\b} c d e^{\b} f^{\s} gAs guitar tab
1:bb1,c1,d1; 2:f#1,g1,a1; 3:c1,d1,eb1; 4:g1,a1,bb1; 5:d1,eb1,f#1; 6:a1,bb1,c1;As with Locrian mode we have minor seventh with a lowered fifth, what is sometimes called a half diminished chord. The arpeggio is
a c d^{\s} gThe chord is denoted m^{7\b5}.
This is the parallel to Ionian mode or a plain major scale. Though in the harmonic minor modes the fifth step is raised one semi tone making the chord augmented. In the key of a we get
a b c^{\s} d f f^{\s} g^{\s}As guitar tabs
1:b1,c#1,d1; 2:f#1,g#1,a1; 3:c#1,d1,f1; 4:g#1,a1,b1; 5:d1,f1,f#1; 6:a1,b1,c#1;And the four tone arpeggio
a c f g^{\s}As noted we have what is called an augmented major seventh chord noted as +^{\maj7}.
This is the parallel to the Dorian mode. But with raised 4th step. In the key of a
a b c e^{\b} e f^{\s} gAs guitar tabs
1:b1,c1,eb1; 2:f#1,g1,a1; 3:c1,eb1,e1; 4:g1,a,b1; 5:eb1,e1,f#1; 6:a1,b1,c1;It functions as a straight minor seventh chord. The arpeggio is
a c e gParallel to Phrygian mode. It is named Phrygian Dominant. As far as I know this is the only of the harmonic minor modes besides harmonic minor that has a name. In the key of a we get
a b^{\b} c^{\s} d e f gAs guitar tabs
1:bb1,c#1,d1; 2:f1,g1,a1; 3:c#1,d1,e1; 4:g1,a1,bb1; 5:d1,e1,f1; 6:a1,bb1,c#1;It differs from Phrygian mode in having a raised third making it a major chord. The four tone arpeggio is
a d^{\b} e gThis is a dominant seventh chord, noted with super scripted 7, for A we get A^{7}.
The parallel to the Lydian mode. Compared to this it has a raised second sted. In the key of a
a c c^{\s} e^{\b} e f^{\s} g^{\s}As guitar tabs
1:c1,c#1,eb1; 2:f#1,g#1,a1; 3:c#1,eb1,e1; 4:g#1,a1,c1; 5:eb1,e1,f#1; 6:a1,c1,c#1;The function is a major seventh. In the key of a we get the arpeggio
a c^{\s} e g^{s}The notation for A is A^{\maj}
This is the parallel to the Mixolydian mode. Compared to it this mode has a lowered second step, lowered fifth step and a lowered seventh step. In the key of a we get
a b^{\b} c c^{\s} e^{\b} f f^{\s}As guitar tabs
1:bb1,c1,c#1; 2:f1,f#1,a1; 3:c1,c#1,eb1; 4:f#1,a1,bb1; 5:c#1,eb1,f1; 6:a1,bb1,c1;The arpeggio in the key of a
a c e^{\b} f^{\s}With both lowered fifth and seventh we get a diminished 7 chord, as A noted as A^{o7}. This can be spread out over the freatboard of a guitar in this pattern:
1:f#1,a1,c1,eb1,f#2; 2:c1,eb1,f#1,a1,c2; 3:a1,c1,eb1,f#1,a2; 4:eb1,f#1,a1,c1,eb2; 5:c1,eb1,f#1,a1,c2; 6:f#1,a1,c1,eb1,f#2;