The Area Set Value Relationships in Atonal Music

Year: 2018 Authors: Nikita Mamedov

Core claim

ASV reveals mathematical relationships among unrelated atonal set-classes and produces consistent patterns in Schoenberg’s Suite for Piano, Op. 25, and String Quartet No. 4, Op. 37.

Topics

atonal music analysis, pitch-class set theory, maximally even sets, twelve-tone technique

Domains

geometry, modular arithmetic, graph theory, trigonometry, music theory, composition analysis, performance interpretation

Methods

set-class classification, polygon area calculation, unit circle mapping, tone-row segmentation

Media

pitch-class sets, Schoenberg scores, Cartesian plane, unit circle

Source status

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