RecordNumber
4023
Author
Schweig, Jay
Crop_Body
Jay Schweig and Aurian Kutner
Title of Article
Minimally non-diatonic pc-sets
Title Of Journal
Journal of Mathematics and Music
PublishInfo
Taylor & Francis Group
Publication Year
2021
Keywords
composition , tonality , scales , harmony , atonality
Abstract
We discuss and enumerate pc-sets that are both not contained in any diatonic collection and are minimal
with respect to this property, and we generalize this idea to other collections.We also consider related simplicial
complexes and examine how some of their geometric properties reflect qualities of the associated
pc-sets.