Rothenberg propriety: Difference between revisions
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'''Rothenberg propriety''' is a concept in the theory of musical [[scale]]s. | |||
[ | ''“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> | ||
[[Category:theory]] | |||
== Examples == | |||
The 7-step diatonic scale of [[12edo]] (2-2-1-2-2-2-1) is "proper" but not strictly proper because of the ambiguities of d5 (1+2+2+1) and A4 (2+2+2) in three-step and five-step intervals. | |||
The 7-step diatonic scale of [[19edo]] (3-3-2-3-3-3-2) is strictly proper. | |||
== See also == | |||
* [[Wikipedia: Rothenberg propriety]] | |||
* [[MOS scale]] | |||
== References == | |||
<references/> | |||
[[Category:Scale theory]] | |||
{{Todo|expand}} | |||
Revision as of 23:39, 1 January 2021
Rothenberg propriety is a concept in the theory of musical scales.
“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.”[1]
Examples
The 7-step diatonic scale of 12edo (2-2-1-2-2-2-1) is "proper" but not strictly proper because of the ambiguities of d5 (1+2+2+1) and A4 (2+2+2) in three-step and five-step intervals.
The 7-step diatonic scale of 19edo (3-3-2-3-3-3-2) is strictly proper.
See also
References
- ↑ Carey, Norman (1998). Distribution Modulo One and Musical Scales, p.103, n.19. University of Rochester. Ph.D. dissertation.