Rothenberg propriety: Difference between revisions
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Carey 1998 writes, ''“Rothenberg calls a scale 'strictly proper' if it possesses a generic ordering, 'proper' if it admits ambiguities but no contradictions, and 'improper' if it admits contradictions.”''<ref>Carey, Norman (1998). ''[https://books.google.com/books?id=Fgc5AQAAIAAJ&dq=improper+rothenberg+music&focus=searchwithinvolume&q=improper Distribution Modulo One and Musical Scales]'', p.103, n.19. University of Rochester. Ph.D. dissertation.</ref> | Carey 1998 writes, ''“Rothenberg calls a scale 'strictly proper' if it possesses a generic ordering, 'proper' if it admits ambiguities but no contradictions, and 'improper' if it admits contradictions.”''<ref>Carey, Norman (1998). ''[https://books.google.com/books?id=Fgc5AQAAIAAJ&dq=improper+rothenberg+music&focus=searchwithinvolume&q=improper Distribution Modulo One and Musical Scales]'', p.103, n.19. University of Rochester. Ph.D. dissertation.</ref> | ||
Strictly proper scales have [[constant structure]], and proper scales do not. Improper scales usually do, but see the 22edo example below for a counter-example. | Strictly proper scales have [[constant structure]], and proper but not strictly proper scales do not. Improper scales usually do, but see the 22edo example below for a counter-example. | ||
== Examples == | == Examples == | ||