The TV monitor when fed through HDMI prefers TV mode (overscan) by default. It needs to be fed a 1920x1080 signal with CVT-RB timing to display 1:1 pixels.
The kernel parameter to use is (for linux framebuffer)
Note: this is for kernel 2.6.39-bpo.2 (from Debian backports). In newer versions it seems that the R and M should be switched: "1920x1080MR@60". As always, use the source.
For X11, these xrandr invocations should help. TODO: put this in xorg.conf
The timings can be obtained from the cvt utility:
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