My take on a Greek Lyre I built in my woodshed with Poplar, Walnut and Cedar woods. I'll post a video of a sound clip when the strings are stretched in a bit and the lyre found its voice.
I don´t know what greek lyre You had in mind (there are several different types) But the result reminds me more of some scandinavien lyres, like the Hylestad Lyre, or the Mo Lyre.