I was reading an article by Dmitri Tymoczko this morning, Stravinsky and the Octatonic: A Reconsideration, and came across a useful term: locally diatonic. This refers to a scale whose seconds are all minor or major, and whose thirds are all minor or major. This includes the following scales: major, ascending melodic minor, whole-tone, and diminished (octatonic). Any three consecutive notes from any of these scales can be mapped onto a segment of the major scale.
Tidbit: Locally Diatonic Scales
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[…] The melodic minor is a 7 note scale consisting of only semitones or whole tones, but with no 2 consecutive semitones (put another way, it is “locally diatonic“) […]
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