On a piano you could play octave C moving to G-D. The high C moves up to D and the lower C moves up to G.
X:1 L:1/2 M: K:C %%score B V:B clef=bass % 1 [V:B] [C,C] [G,D]
What would four-part harmony guidelines say about this? And would classical pianists play such a comping in the LH?