The Hitchhiker's Guide to the All-Interval 12-Tone Rows
Marco Buongiorno Nardelli

TL;DR
This paper explores the generation and classification of all-interval 12-tone series using complex network theory, providing a new re-ordering scheme that links these series through chains of relations for composers and theorists.
Contribution
It introduces a novel complex network approach to analyze all-interval 12-tone series and offers a comprehensive re-ordering scheme connecting all AISs.
Findings
Developed a network-based classification of AIS
Established a re-ordering scheme linking all AISs
Enhanced understanding of AIS relationships
Abstract
This article revisits the generation, classification and categorization of all-intervals 12-tone series (AIS). Inspired by the seminal work of Morris and Starr in 1974 (Morris and Starr, The Structure of All-Interval Series 1974), it expands their analysis using complex network theory and provides composers and theorists with the re-ordering scheme that links all AISs together by chains of relations.
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Taxonomy
TopicsMusic and Audio Processing
