DEAD MAN

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If you haven't seen the film DEAD MAN by Jim Jarmusch, it's really high on the list of must sees. And it doesn't hurt that it has a beautifully, sparse, raw, crunchy, solo instrumental electric (w/ acoustic during credits) guitar driven soundtrack/score by Neil Young. It's worth noting how Young is able to deliver the grit, tone, and mood of the Old West with an electric instrument that did not exist in that time period, and yet it works perfectly with the film.
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Trailer:

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Scenes intercut with Neil Young working on the score:

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