No, the goal would be to exactly match whatever the HDTV's native
resolution is. If viewing full-screen, 1280 X 768 will be
pixellated, and 1024 X 768 will be pixellated also. (pixellated is
not good)
OK, you are dealing with three different pieces of hardware.
1) Video card. It may or may not support 1280 X 720. But it won't
give you that option if both your monitors don't fully support that
resolution. You might be able to set a custom resolution, but I
don't recommend that. You can damage your PC monitor (see 2 below)
2) Regular PC monitor. 1280 X 720 is probably not supported
natively for this monitor. But this resolution -could- be OK if and
only if the maximum resolution of your monitor is higher in BOTH
numbers. For example, if your regular PC monitor has a native
resolution or maximum resolution of 1280 X 1024 (pretty common), then
it should be able to handle 1280 X 720. But if this is an older tube
style CRT monitor, watch the refresh rate! You could damage your
monitor trying to tweak your video card to output a resolution that
your monitor doesn't support! 3) HDTV. This should be driven at
exactly 1280 X 720, if that is the monitor's native resolution.
Anything other than that will look terrible, and could be the reason
that you posted asking about how to improve picture quality. For
example, 1024 X 768 will look awful on your HDTV, no matter how the
signal gets from the PC to the HDTV.
Your best bet to get everything working nicely together is to update
to the latest drivers for both the video card and the regular PC
monitor. DISconnect the HDTV until you get the video card and PC
monitor playing nice at exact resolution of 1280 X 720, if possible
WITHOUT setting a custom resolution for the video card. If you can
get that far, then connect your HDTV and set your video card to
clone the output to the TV. -Dave