I have to admit, I never got to play Turrican myself (should probably change that sometime), but I really got hooked by the music, when I heard it's Main Theme on the "Symphonic Shades" album couple years ago. Simply amazing stuff, here's the live performance of it. Already looking forward to hear what ya gonna do with this one!
And also: thank you for the MIDI, but I think I did attach one. The link is above the Youtube link in bundeslang's post. But as I'm not sure of how good it really is - it looked okay though - a second source is always nice to have.