https://orcid.org/0000-0001-7529-5454
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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.
2010 Mathematics Subject Classification:
Acknowledgments
We are grateful to Guerino Mazzola for a careful reading of our draft and many helpful comments and suggestions. We are also greatly indebted to the two anonymous referees for their input, which greatly improved the paper's content, exposition, and quality. We also thank Christine Yoshikawa.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The authors were partially supported by a Koslow Research Scholarship.