resolution 1366x768 does not look proper in Debian Wheezy
 

I have a monitor with native resolution 1366x768 and I use Debian Wheezy. If I keep this resolution then the items on the desktop are partially "beyond" the screen on the right side (a few pixels). If I change the resolution to 1360x768 then all items on the desktop are visible entirely on the screen, but the image looks a little blurry as this is not the native resolution of my monitor. Is there a way to fix this problem?

When the picture is slightly to the right like you describe, (1366x768) the monitor is running at it's fastest resolution and is barely locking the picture, because the horizontal is too fast.There are several 1366x768 modes and your system is using the fastest one the equipment will let it. It's actually _too_ fast imo. Run xrandr --verbose and you can read, among other things, the horizontal frequency (in khz). Reduce this figure slightly. In /etc/X11/xorg.conf.d, you can set

(Take my example of 55.6 Khz)

HorizSync 31.5 - 50

and see if that fixes it. It you cut too much you lose your top rates and the remaining ones blink. Cut just enough.

I tried the command you said and I got the following:

xrandr --verbose
xrandr: Failed to get size of gamma for output default
Screen 0: minimum 640 x 400, current 1366 x 768, maximum 1366 x 768
default connected 1366x768+0+0 (0x13b) normal (normal) 0mm x 0mm
Identifier: 0x13a
Timestamp: 18114
Subpixel: no subpixels
Clones:
CRTC: 0
CRTCs: 0
Transform: 1.000000 0.000000 0.000000
0.000000 1.000000 0.000000
0.000000 0.000000 1.000000
filter:
1366x768 (0x13b) 62.9MHz *current
h: width 1366 start 0 end 0 total 1366 skew 0 clock 46.1KHz
v: height 768 start 0 end 0 total 768 clock 60.0Hz
1360x768 (0x13c) 62.7MHz
h: width 1360 start 0 end 0 total 1360 skew 0 clock 46.1KHz
v: height 768 start 0 end 0 total 768 clock 60.0Hz
1280x720 (0x13d) 55.3MHz
h: width 1280 start 0 end 0 total 1280 skew 0 clock 43.2KHz
v: height 720 start 0 end 0 total 720 clock 60.0Hz
1024x768 (0x13e) 59.0MHz
h: width 1024 start 0 end 0 total 1024 skew 0 clock 57.6KHz
v: height 768 start 0 end 0 total 768 clock 75.0Hz
1024x768 (0x13f) 47.2MHz
h: width 1024 start 0 end 0 total 1024 skew 0 clock 46.1KHz
v: height 768 start 0 end 0 total 768 clock 60.0Hz
1024x768 (0x140) 55.1MHz
h: width 1024 start 0 end 0 total 1024 skew 0 clock 53.8KHz
v: height 768 start 0 end 0 total 768 clock 70.0Hz
832x624 (0x141) 38.9MHz
h: width 832 start 0 end 0 total 832 skew 0 clock 46.8KHz
v: height 624 start 0 end 0 total 624 clock 75.0Hz
800x600 (0x142) 36.0MHz
h: width 800 start 0 end 0 total 800 skew 0 clock 45.0KHz
v: height 600 start 0 end 0 total 600 clock 75.0Hz
800x600 (0x143) 28.8MHz
h: width 800 start 0 end 0 total 800 skew 0 clock 36.0KHz
v: height 600 start 0 end 0 total 600 clock 60.0Hz
800x600 (0x144) 34.6MHz
h: width 800 start 0 end 0 total 800 skew 0 clock 43.2KHz
v: height 600 start 0 end 0 total 600 clock 72.0Hz
800x600 (0x145) 26.9MHz
h: width 800 start 0 end 0 total 800 skew 0 clock 33.6KHz
v: height 600 start 0 end 0 total 600 clock 56.0Hz
640x480 (0x146) 23.0MHz
h: width 640 start 0 end 0 total 640 skew 0 clock 36.0KHz
v: height 480 start 0 end 0 total 480 clock 75.0Hz
640x480 (0x147) 18.4MHz
h: width 640 start 0 end 0 total 640 skew 0 clock 28.8KHz
v: height 480 start 0 end 0 total 480 clock 60.0Hz
640x480 (0x148) 22.4MHz
h: width 640 start 0 end 0 total 640 skew 0 clock 35.0KHz
v: height 480 start 0 end 0 total 480 clock 73.0Hz
720x400 (0x149) 20.2MHz
h: width 720 start 0 end 0 total 720 skew 0 clock 28.0KHz
v: height 400 start 0 end 0 total 400 clock 70.0Hz

However I have no file named /etc/X11/xorg.conf.d or anything similar

What do I do now? I tried to check the monitor settings but anything that I do still maintains the "hidden" portion of the few pixels on the right side (anoying because the scrolling is hidden and the closing "x" icon of the windows when maximized on the screen).

OK, that's all within the reach of things. No need to alter anything, unless your monitor is a n c i e n t. Can you correct the picture using the OSD of the monitor? It's no harm posting details of the monitor, graphics card & driver in case they give others ideas. Are you sure you had the --verbose on that? I get this type of thing.

The numbers mean:1600 - right of screen; 1648 - right of invisible area. To allow for crt flyback, there is a delay until 1680 = full left(guessing here); 1798=right of (left side) invisible area. The next dot is 0, meaning the left of the invisible area. You're not getting that stuff, and I wonder why.