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Messiaen 3rd Mode & Augmented Chord

ScaleCoding: 8/234678/1
Pitch Set binary: 2184
Binary 12notes 1&0: 100010001000
PitchSet Notation 12 edo: 0 4 8
Note Names from C: C E G#
NotesInStepsOfFifiths: C-x-x-x-E-x-x-x-G#
L and s Interval Sequence: (2L) (2L) ((L+2s)
Major Triads:
Minor Triads:
Aug. Triads: C+
Dim. Triads:
Number Of Notes In Scale: 3
Ascending Note Positions in Scale: 1 3 5#
LengthOfChain: 8
Flatmost Note: C
Sharpmost Note: G#
Contiguous Notes: 1
PositionOfTonic: 1