Ionian
identical to Major
Mixolydian
like major, lowered 7
Lydian
like major, raised 4
Lydian-Mixolydian
like major, raised 4 and lowered 7
Aeolian
identical to minor
Dorian
like natural minor, raised 6
Phrygian
like natural minor, lowered 2
Locrian
like natural minor, lowered 2 and lowered 5
aggregate
collection of all 12 pitch classes
cardinality
number of elements in a collection
diminished scale
also octatonic scale- fully diminished seventh chords that are subsets of any octatonic scale
literal complement
set when combined with given pitch set, produces complete aggregate
segment
ordered sequence of pitches
split-third chord
four-note “triad” with both a major and minor third above the root