[Smt-talk] Hexachords

[matralab]

Dear collective wisdom

in a new composition I am using two complementary hexachords

C D E F Ab Bb [C] (in semitones: 2 2 1 3 2 2)
and
C# D# F# G A B [C#] (or: 2 3 1 2 2 2).

I just made them up by trial and error without any reference to historical
or cultural music theories.
But now that the piece is written I wonder if they might be scales/modes
that were in common use at any time or anywhere -
it seems most likely that they are. But my intercultural scales/modes
knowledge is limited.
In the piece they are used as a pitch reservoir without fixed central pitch,
so any rotation would work, too.
Do they ring a bell, any of you ?

Thank you for all insights

Best
Sandeep Bhagwati
Composer
Canada Research Chair for Inter-X Art
Concordia University Montréal
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