One our personal favorite episodes, #225, "The Inner Light," features this simple melody by Jay Chattaway. You'll find the sheet music attached.

Interestingly, the flute played by Captain Picard in this and several other episodes, sold at the 2006 Christie's official studio auction of Star Trek memorabilia for $48,000.

The theme was later developed into a full orchestral suite for the 30th anniversary of Star Trek.