I'm guessing the answer to this is a no - but is there a clever way to calculate 2/3 height of the mobile screen?
I need a header div containing a background image to take up 2/3 of the screen height regardless of device - if at all possible a clean CSS only solution would be the ideal.
Currently I have
    <div class="twoThirds">
        <img src="headerimg.jpg" />  
    </div>
and the following LESS styles -
.twoThirds{
height:66%;
@media (max-width: 766px) {
    height:200px;
}
margin:0; 
padding:0;
width:auto;
img{
    width:100%;
    height:auto;
}
}
                If by screen you mean rather viewport then you could use viewport units
.twoThirds {
   height: 66.6vh;
}
Where 1vh is 1/100 of the viewport height and 100vh is the full viewport height.
Support across browser: http://caniuse.com/#feat=viewport-units
For older devices, where these units are not (fully) supported, a possible workaround is to assign height: 100% to the html and body elements and height: 66.6% to the .twoThird element
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