1978/03/01 by Derek A. Waller · 2 citations
Arts and Humanities · #Musicology and Musical Analysis
paper · doi:10.2307/3617617
crossref issued 1978/03/01 · crossref published 1978/03/01 · crossref published-print 1978/03/01 · openalex publication_date 1978/03/01 · crossref created 2007/01/23 · crossref published-online 2016/09/22 · openalex created_date 2025/10/10 · crossref deposited 2025/11/12 · openalex updated_date 2026/05/21 · crossref indexed 2026/07/24
Group theory has been used in the study of various properties of musical scales. The cyclic group C 12 provides a mathematical model for the tempered intervals (see for example Budden [1] Chapter 23, where the diminished seventh chords are shown to correspond to an appropriate subgroup of C 12 and its cosets).