I–V–vi–IV (the “four chords”) · D major

D – A – Bm – G

ID · D F♯ A
VA · A C♯ E
viBm · B D F♯
IVG · G B D

D – A – Bm – G: the four chords under a great many pop songs — the verse of “Let It Be” is this progression in C. In D major they are I, V, vi and IV.

Smooth voicings — root in the left hand

The right hand takes whichever inversion is nearest, so it moves by a step or two instead of jumping.

D I · root position

D1D1A5F♯3

1 · 3 · 5 over D in the bass

A V · first inversion

A1E5A1C♯3

3 · 5 · 1 over A in the bass

Bm vi · first inversion

B1D♭3B1F♯5

♭3 · 5 · 1 over B in the bass

G IV · second inversion

G1D5G1B3

5 · 1 · 3 over G in the bass

Why it works

Two major chords, a minor, a major: the minor chord in third place is the shadow that makes the return to IV and I feel bright. Played with the smooth voicings above, the right hand moves by a step or two between every chord.

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