The D minor scale is D major with three notes lowered: the third, the sixth and the seventh. That's the whole trick. Drop those three notes by a half step and the bright, open sound of D major turns serious, a little sad, and very human. This is the natural minor scale, also called the Aeolian mode, and in the key of D it gives you seven notes: D, E, F, G, A, Bb, C.
Most people meet the major scale first. It's the "do re mi" sound, and on a piano D major uses two black keys, F# and C#. Sing it slowly and you'll hear how cheerful and settled it feels.
Now change three notes. F# comes down to F. B comes down to Bb. C# comes down to C. A half step is the smallest step in Western music, like moving from one piano key to the very next one, black or white, and each of these three notes moves down by exactly that much.
Here's what each change does to the mood:
In number form, the formula is 1, 2, b3, 4, 5, b6, b7. The "b" just means that degree is a half step lower than it would be in the major scale.
On a keyboard, Bb and A# are the same black key, so it's fair to wonder why we insist on Bb. The rule is simple and actually helpful: a scale uses each letter name once. D minor already has an A (the fifth note), so the sixth note needs the next letter, B, lowered to Bb. Writing A# would give you two A's and no B at all, which makes the music harder to read. One letter per note keeps everything tidy.
Look at the notes again and you'll notice only one is flat or sharp: Bb. That means D minor's key signature, the set of sharps or flats written at the start of each line of sheet music, is a single flat.
F major has that same key signature. Its notes are F, G, A, Bb, C, D, E: exactly the same seven notes as D minor, just starting from F. That's why F major is called D minor's relative major. They share everything except their home base. When a song in these notes keeps landing on D, it sounds minor. When it keeps landing on F, it sounds major. Your ear decides by where the music rests.
You can also find D minor from its step pattern. A whole step is two half steps. Starting on D, the pattern W - H - W - W - H - W - W gives you D to E (whole), E to F (half), F to G (whole), G to A (whole), A to Bb (half), Bb to C (whole), and C back up to D (whole).
Every scale has a note or two that defines its flavor. In D minor, listen for Bb. It sits just one half step above A, the fifth, and it leans on it hard. When a melody touches Bb and then falls to A, you get that sighing, slightly tearful sound minor music is known for.
Try it at a piano or just by singing: hum A, go up to Bb, hold it a moment, then let it drop back to A. That small fall carries a surprising amount of feeling. Composers and songwriters reach for it constantly. It's no accident that the film This Is Spinal Tap got a laugh by calling D minor "the saddest of all keys."
Stack every other note of the scale and you get chords. A triad is three notes stacked this way; add a fourth and you get a seventh chord. D minor produces these:
Notice that three of the major chords, F, Bb and C, are the main chords of F major. That's the relative key showing through. The Bb chord in particular carries the scale's character note right in its root, so it brings a warm, bittersweet color whenever it appears.
A progression to try: Dm - Bb - C - Dm. It's a sound you'll recognize from countless rock, pop and folk songs. Play it on any instrument, or have a friend play it while you sing the root of each chord. Then try Dm - Gm - Am - Dm, which stays entirely in minor chords and sounds more brooding.
Melodies in D minor tend to circle the notes of the Dm chord: D, F and A. Those are the resting points. The other notes are passing tones that create a little tension before settling.
Two moves are worth knowing. Bb falling to A sounds mournful. C rising to D sounds like coming home, but gently, because it's a whole step rather than the tighter half step you'd hear in a major key. That relaxed return is part of why minor tunes can feel wistful rather than urgent. Singers will find F a lovely note to linger on; it's the note that tells the listener "this is minor."
The root D sits on the low E string at fret 10 and on the A string at fret 5, with the same notes an octave up at frets 22 and 17. Start at the 5th fret on the A string and play the scale up from there, saying each note name aloud. Keep an ear on Bb; it's the note to linger on when you want that minor ache.
Sing or play this short line slowly: D, F, A, Bb, A. Then repeat it, ending on D instead of the last A. The first version hangs in the air; the second sounds finished. Now write a four-bar melody over Dm - Bb - C - Dm that uses that Bb-to-A fall at least once, and end it on D.
For the bigger picture, read The Natural Minor Scale (Aeolian Mode).