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This is the proper mode to display anamorphic video. If used for standard aspect ratio video, everything on the screen will appear wider than normal. Contrast this with anamorphic video displayed without processing on a 4:3 display, in which people on the screen will appear taller than normal. This is also known as the 16:9 mode.
The difference is that whilst D1 has a 4:3 aspect ratio 960H has a 16:9 widescreen aspect ratio. The extra pixels are used to form the increased area to the sides of the D1 image. The pixel density of 960H is identical to standard D1 resolution so it does not give any improvement in image quality, merely a wider aspect ratio.
Some common aspect ratios for computer displays. 4:3 is an old non-widescreen monitor standard, also used in some tablet computers. The first popular widescreen ratio for computer displays was 16:10, and 16:9 has been the most common ratio since 2012.
The original screen ratio for TV broadcasts was 4:3 (1.33:1). This was the same aspect ratio as most cinema screens and films at the time TV was first sold commercially. 1930s and 1940s films in 4:3, such as Gone with the Wind, have always been displayed on television in 4:3, filling the entire frame.
The 1280 × 1024 resolution is not the standard 4:3 aspect ratio, instead it is a 5:4 aspect ratio (1.25:1 instead of 1. 3:1). A standard 4:3 monitor using this resolution will have rectangular rather than square pixels, meaning that unless the software compensates for this the picture will be distorted, causing circles to appear elliptical.
The base resolution increased by increasing the width and keeping the height constant, for square or near-square pixels on a widescreen display, usually with an aspect ratio of either 16:9 (adding an extra 1/3rd width vs a standard 4:3 display) or 16:10 (adding an extra 1/5th).