Q: What is the difference between, for example, a D/C chord, vs a C^13#11 chord? Is it purely a difference of which notation is cleaner, or does it reflect emphasis on different notes, a different harmonic context, etc.
A: if it says C13, that probably means it's supposed to include Bb note. where as D/C does not. also C13#11 does not necessarily have to include D, where as D/C probably does