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Quartal Chords in Ionian, Melodic Minor and Harmonic Minor

In ionian, melodic minor and harmonic minor scales, two quartal chords a third from each other will result in the same kind of six note scales as above.

Quartal Chords Scale Corresponding Triads
1-4-7 + 3-6-9 1-2-3-4-6-7 6-1-3 + 7-2-4
2-5-1 + 4-7-3 1-2-3-4-5-7 7-2-4 + 1-3-5
3-6-9 + 5-1-4 1-2-3-4-5-6 1-3-5 + 2-4-6
4-7-3 + 6-9-5 2-3-4-5-6-7 2-4-6 + 3-5-7
5-1-4 + 7-3-6 1-3-4-5-6-7 3-5-7 + 4-6-1
6-9-5 + 1-4-7 1-2-4-5-6-7 4-6-1 + 5-7-2
7-3-6 + 2-5-1 1-2-3-5-6-7 5-7-2 + 6-1-3

Two quartal voicings a second from each other will result in pentatonic scales.

Quartal Chords Scale
1-4-7 + 2-5-1 1-2-4-5-7
2-5-1 + 3-6-9 1-2-3-5-6
3-6-9 + 4-7-3 2-3-4-6-7
4-7-3 + 5-1-4 1-3-4-5-7
5-1-4 + 6-9-5 1-2-4-5-6
6-9-5 + 7-3-6 2-3-5-6-7
7-3-6 + 1-4-7 1-3-4-6-7

Again, not every combination works well in every situation.

When playing a quartal chord from the 4 or 7 in melodic minor, you will get a diminished triad. When building a quartal chord on the 4 in harmonic minor, you also get a diminished triad, but when starting on the 7, you will get a minor triad.