A leaked photo suggests that Sony will include a display calibration app in its Sony Xperia Z and ZL devices.
The screenshot shows the options to adjust the white balance, saturation, and hue of your screen to your desire.
The screenshot only shows the calibration software on the Sony Xperia ZL, but it’s very likely that the Sony Xperia Z will include it as well (why wouldn’t it?).
Now you can calibrate your HD display the way you see fit.