Any way to support samsung galaxy s4 using compatible screen sizes

Question

I've recently released an app but the ui really isn't ready for larger tablet screen so until I get this fixed I've filtered out certain devices with an xlarge screen size using compatible screen tags:

<compatible-screens>
    <screen
        android:screenDensity="ldpi"
        android:screenSize="small" />
    /* All sizes up to large xhdpi */
    <screen
        android:screenDensity="xhdpi"
        android:screenSize="large" />
</compatible-screens>

Unfortunately, declaring compatible screen sizes like this in the manifest excludes the S4. I can't find a way of specifying compatible screens and not excluding the S4.

Note, a very similar question has been asked here but the accepted answer (which indicates that at 441dpi the S4 falls under the xxhdpi screen density bucket) does not help in this particular situation as xxhdpi is not a valid manifest attribute value for screen density.

EDIT:

Many thanks for CommonsWare's answer below. The correct bucket for the S4 is then:

<screen
    android:screenDensity="480"
    android:screenSize="normal" /> 

Answer 1

Use 480 instead of xxhdpi in the <screen> element.