The Hitchhiker's Guide to the All-Interval 12-Tone Rows
This provides composers and theorists with a new framework for understanding and organizing all-interval series, but it is incremental as it builds directly on existing foundational work.
The paper tackles the problem of generating, classifying, and categorizing all-interval 12-tone rows (AIS) by expanding on prior work using complex network theory, resulting in a re-ordering scheme that links all AISs through chains of relations.
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.