Any chance of mimicking the ability to drag the roof open to a desired level? For example, instead of the diamond of four buttons, perhaps you can use that real estate to display a top-down wireframe which you can drag left or right to the desired level? The percentage open could be displayed "above your finger" as you drag and then return to inside the wireframe when you let go. The instant you let go, the command can be sent to match the percentage you selected.
To me, one of the most magical moments is how intuitive the dragging works on the 17" screen. When guests see it, it gets the best reaction of anything on the UI. I'd love to see that in the app. That diamond of options doesn't instantly register. I'm sure it'll be very easy to remember and learn, but I wanted to throw the thought out there.
Added to my Done list.