Perfect Third has rolled out its new WakeMate sleep accessory for the iPhone, iPod touch, iPad, and other portable devices. The WakeMate system consists of a Bluetooth wristband that uses actigraphy to map dips and peaks in the user’s sleep cycle and communicates with an app running on his or her device to calculate the ideal wake time closest to the chosen alarm setting—up to 20 minutes beforehand—at a time when the user will wake…