Is there a visual way to map out the relationships among chords similar to the Tonnetz lattice of Neo-Riemannian analysis but for atonal music?

Question

I am looking for a way to map out the distances between chords for atonal music. I really like Tonnetz analysis, but for atonal music, it doesn't quite work out the same for me. Is there a similar kind of lattice or map that I can use to visualize the distances and therefore the relationships among atonal chords? Thank you.

Answer 1

For atonal music, there are chords that you can map it out. But because of the style, there are more existence chords that are being used compare to Renaissance and Classical music chord structure. What you can do to map out an atonal piece is by looking for a common tone, and after that you decide what key of the piece you are in (although atonal pieces don’t have a defined key, it’s more of your own personal interpretation. So, therefore, different people will have different understanding of an atonal piece). After finding the common tone, find the chord tones/non-chord tones to figure out your chords and build into a structure.