Rothenberg propriety: Difference between revisions
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# [http://www.tonalsoft.com/enc/r/rothenberg-stability.aspx Rothenberg stability] on [[Tonalsoft encyclopedia]] | # [http://www.tonalsoft.com/enc/r/rothenberg-stability.aspx Rothenberg stability] on [[Tonalsoft encyclopedia]] | ||
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:// | 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://www.researchgate.net/publication/235712212_Distribution_modulo_1_and_musical_scales Distribution Modulo One and Musical Scales]'', p.103, n.19. University of Rochester. Ph.D. dissertation.</ref> | ||
Strictly proper scales are [[constant structure|constant structures]], and proper but not strictly proper scales are not. Improper scales usually do, but see the 22edo example below for a counter-example. | Strictly proper scales are [[constant structure|constant structures]], and proper but not strictly proper scales are not. Improper scales usually do, but see the 22edo example below for a counter-example. | ||