One thing of note is that none of them express the golden ratio, that so-called best of proportions. 5:8 comes quite close but, as far as I’m aware, no web device matches the golden section in its screen aspect ratio. I’m not sure why that is, but I like to think that it’s because the golden ratio is for the weak.
The musical interval ratios also provide an opportunity, not only to create connectedness between the parts of a layout, but to bind the content to a device. Just as a textblock and page resonate together, so too can web content and the screen on which it is displayed.
Owen Gregory (@fullcreammilk) on musical intervals, device aspect ratios, and how we should be seeking these harmonies when designing for the web as a responsive medium. A good read. And I like the jab at the golden ratio.
See also: Cennydd Bowles’s The Music of Interaction Design talk.