These songs are uncannily similar

I recently watched the movie Brothers, and recognized the theme song from the Oscars. Here is the beginning of the song.
Doesn't it sound a LOT like the beginning of the song July Flame by Laura Veirs? Here is how that song starts.
Uncanny. But both are good songs, IMHO.

I tend to like movies with scores by Thomas Newman; he did the score for American Beauty, my favourite movie of all time.