Can the i, iv, and v chords harmonize any minor scale melody?
I asked a similar question yesterday in regards to the major scale:
Can the I IV V chords hamonize any major scale melody?
And the general consensus was: YES they can.
Now I'd like to ask the same question for the natural minor scale. The primary chords of the natural minor are i iv v. But from my experience these chords can't harmonize all natural minor melody. It seems like it's the i, VII, and something else. So what three chords in the natural minor scale can harmonize any natural minor melody, if its not the primary ones?
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When you say "i" do you mean the "I" key made minor or the relative minor of I, which is vi, treated as a minor one (i)?
Of course the vi, ii, iii forms a I, IV, V for the relative natural minor key. In fact the format is the same:
ii is a fourth up from vi
iii is a fifth up from vi.
Example, Amin, Dmin, and Emin, for the one, four and five in Amin and are the vi, ii, and iii chords of C maj.
(1) It is not typical that songs written in minor keys stay natural. If you want to create the cadence in a minor key you really need a leading tone. The leading tone in a minor key is present in the Harmonic minor scale (and the Melodic minor scale too, with the sharp 6th etc). With this in place you convert the iii chord (the v of your minor) to a major chord. Again, Amin, Dmin, E7. This allows you to create the movement E7 --> Amin which has a similar "feel" as G7 --> Cmaj. The 3 of the V chord is the 7th of the key.
Another interesting relation is the relative minor-major relation between pairs in the progressions. (I, vi), (IV, ii), (V, iii). These are "substitutions" for each other, c6 = A-7, F6 = D-7, G6 = E-7 all are in the same key.
The question—and answer—are actually the same.
In major, you have seven scale degrees, and the I, IV, and V chords cover all seven scale degrees.
In minor, it's exactly the same. You have seven scale degrees, and even though scale-degrees 3, 6, and 7 are lowered from the major, those seven scale degrees are still covered by the i, iv, and v chords. i includes scale-degrees 1, 3, and 5; iv includes 2, 4, and 6; and v includes 5, 7, and 2.
But note that the seven scale degrees could also be exhausted by the i, iv, and VII chords. But using these chords will likely push you towards the relative major, since those chords create a circle-of-fifths progression of vi–ii–V that would really want to move to I.
And, as the answers in your other question say, just because these chords exhaust the given scale degrees does not mean that your harmonization is guaranteed to be musical. Nor does it guarantee that every aspect of the progression will be syntactically correct according to the style you're attempting to emulate.
And, before you ask: the same is true for harmonic minor, and for melodic minor (although you'd have both major and minor forms of the IV and V chords), and for modes, as well.
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