Quite interesting, (something I was completely unaware of)... Wikipedia states "many devices can output HDMI over a DVI output (examples: ATI 3000-series and NVIDIA GTX 200-series video cards),[7] and some multimedia displays accept HDMI (including audio) over a DVI input. Exact capabilities vary from product to product." The last part, I find somewhat discerning, I take it to mean it is a hit or miss proposition. I know of no way to consistantly find that info... I checked a few manuals to see what I could find as far as particulars to motherboards to find out if sound can be carried through the DVI port but I can find no mention of that capability (even in Asus boards I would suspect can) in any manual so far.
I did note that the HP machine doesn't feature an HDMI port so likely there are no HDMI drivers installed at all. My research so far does much to re-enforce what I said about DVI not carrying sound (with a few newer links mentioning it does - a recent development many of us old-schoolers haven't come to terms with since it wasn't in the original DVI specs). I'm almost thinking that if your mobo has both DVI-D and HDMI, the DVI will carry sound but I have not been able to confirm that. I'm finding a lack of information here, there doesn't seem to be much incentive to broadcast that info. I'll keep looking but so far I am unable to verify my suspicions