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.
F I · root position
1 · 3 · 5 over F in the bass
B♭ IV · second inversion
5 · 1 · 3 over B♭ in the bass
C V · second inversion
5 · 1 · 3 over C in the bass
Why it works
Between them the three chords contain every note of the major scale, which is why so many melodies can be harmonised with these three alone.
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