Rothenberg propriety: Difference between revisions

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	'''Rothenberg propriety''' is a concept in the theory of musical [[scale]]s. It classifies scales as '''proper''', '''strictly proper''', and '''improper'''.		'''Rothenberg propriety''' is a concept in the theory of musical [[scale]]s developed by David Rothenberg. It classifies scales as '''proper''', '''strictly proper''', and '''improper'''.

	A scale is "strictly proper" if every "second" is smaller than every "third," every "third" smaller than every "fourth," etc. The terms "third" and "fourth," in Rothenberg's paper, refer to "generic interval classes" within the scale rather than the familiar diatonic interval categories. The diatonic scale in 31-EDO is strictly proper; the double harmonic scale (C Db E F G Ab B C) in 26-EDO is strictly proper (and is a very interesting listen!) as the B-Db "third" is now smaller than the Db-E "second" (unlike in 12, 31, etc).		A scale is "strictly proper" if every "second" is smaller than every "third," every "third" smaller than every "fourth," etc. The terms "third" and "fourth," in Rothenberg's paper, refer to "generic interval classes" within the scale rather than the familiar diatonic interval categories. The diatonic scale in 31-EDO is strictly proper; the double harmonic scale (C Db E F G Ab B C) in 26-EDO is strictly proper (and is a very interesting listen!) as the B-Db "third" is now smaller than the Db-E "second" (unlike in 12, 31, etc).