I think its just an in-series tune made up by the show rather than an artist or band dunno i could be wrong.

I think you're referring to the 'sad music', which is played in earlier seasons when some sort of dilemma comes up. Then in season 4 episode 1 the writers almost took the mickey out of it by having JD hum it.
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Here is the piano sheet music:
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hi i cant get ant fans

Hi friends,

Whenever wondered if it's easy earn a song on the piano or just how to Scrub Piano Songs To Learn. In the tiny age, The children can learn up about this song. This is the age where their songs window opens wide then gradually closing until it shut at the age of ten. This is also the best time to introduce on music. It sounds like a man and woman duet like The Submarines and its not listed anywhere because for some reason Netflix changed almost all the audio for the episodes of scrubs.

Best and Regards,
Stewart Martin

www.scrubsmax.com