Clone monitor on HDMI without changing laptop display resolution

My monitor has native resolution of 1366x768, and I connect it to my TV which has 1920x1080i.

If I want to clone them, however, the only supported resolution is 640x480, which is the only resolution that is supported by both the TV and the laptop display.

But on Windows, I've noticed that cloning works even without changing the laptop display resolution, I think they use software scaling, maybe? Or virtual scaling using the GPU.

Can I use xrandr --scale-from to achieve a similar effect on Linux? If so, what would be the correct command, what would the command line look like?

This is the output from xrandr -q:

Screen 0: minimum 320 x 200, current 2646 x 768, maximum 32767 x 32767
LVDS1 connected 1366x768+0+0 (normal left inverted right x axis y axis) 344mm x 194mm
   1366x768       60.0*+
   1360x768       59.8     60.0  
   1024x768       60.0  
   800x600        60.3     56.2  
   640x480        59.9  
VGA1 disconnected (normal left inverted right x axis y axis)
HDMI1 connected 1280x720+1366+0 (normal left inverted right x axis y axis) 698mm x 393mm
   1920x1080i     50.0 +   60.1     60.0  
   1280x720       60.0*    50.0     59.9  
   1440x576i      50.1  
   1440x480i      60.1     60.1  
   720x576        50.0  
   720x480        60.0     59.9  
   640x480        60.0     59.9  
DP1 disconnected (normal left inverted right x axis y axis)
VIRTUAL1 disconnected (normal left inverted right x axis y axis)