Rothenberg propriety: Difference between revisions

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 == 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=6) and A4 (2+2+2=6) in three-step and five-step intervals.
+It's easy to see the concept in action at the 7-step diatonic scale (5L 2s) as rendered in three different EDOs:
-The 7-step diatonic scale of [[19edo]] (3-3-2-3-3-3-2) is ''strictly proper''.
+* [[12edo]] (2-2-1-2-2-2-1) is ''proper'' but not strictly proper because of the ambiguities of d5 (1+2+2+1=6) and A4 (2+2+2=6) in three-step and five-step intervals.
+* [[17edo]] (3-3-1-3-3-3-1) is ''improper'' because of the contradiction in d5 (1+3+3+1=8) being smaller than A4 (3+3+3=9).
-The 7-step diatonic scale of [[17edo]] (3-3-1-3-3-3-1) is ''improper'' because of the contradiction in d5 (1+3+3+1=8) being smaller than A4 (3+3+3=9).
+* [[19edo]] (3-3-2-3-3-3-2) is ''strictly proper''.
 == See also ==