Information may not be a scarce resource, but good music is. The number of good songs in the world is (from the perspective of most people) much smaller than the number of bad songs. So someone who writes a good song thus has ownership rights to something that could reasonably be considered a scarce resource, and as such, by copying music from someone, you are indeed infringing upon the songwriter's right (by your definition, at least).
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Information may not be a scarce resource, but good music is. The number of good songs in the world is (from the perspective of most people) much smaller than the number of bad songs. So someone who writes a good song thus has ownership rights to something that could reasonably be considered a scarce resource, and as such, by copying music from someone, you are indeed infringing upon the songwriter's right (by your definition, at least).