Usually, you should avoid creating images for certain screen sizes to make them a backdrop, because there are thousands of different devices and you will have to create dozens of such images.
The first thing you need to know is screen density.
Usually you create from 3 to 5 images, even despite the screen size: low (120 dpi), medium (160 dpi), high (240 dpi), ultra-high (320 dpi) and 2 * ultra-high (480 dpi). They go to drawable-Xdpi folders, where X is one of l, m, h, xh, xxh.
Next, when you want to have large images on large screens (large phones, small and large tablets), you can put the images in folders such as drawable-sw600dp-Xdpi. This does not apply to your phone.
Nexus 4 is an xhdpi 640x384 dp device, but you should not treat it differently than Samsung Galaxy S2 (hdpi 533x320 dp).
Create a smaller image for both phones and center it horizontally. For instance. 320x100 px for mdpi, 480x150 px for hdpi and 640x200 pixels for xhdpi (your phone).
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