Atypical tetrads
[ADDITION]
I am wanting to expand Douthett's "4-cube trio" graph to include more tetrads (https://books.google.com/books?id=5a6mVvjvn5MC&pg=PA158&lpg=PA158&dq=tesseract+trio+douthett&source=bl&ots=vONIEw7N-E&sig=mM7nRmClr0u45Ps63JwG6_e2kb8&hl=en&sa=X&ei=x8uhVNAZy7-CBLHggLAM&ved=0CB4Q6AEwAA#v=onepage&q=tesseract%20trio%20douthett&f=false). I could just use numbers, but wanted to give them good names instead, reflecting their harmonic functions. I'm a bit rusty, though. Most of the added tetrads were not difficult to identify, but the following have been giving me some trouble.
[ORIGINAL]
Please help me identify the "best" harmonic label for any of the following tetrads (don't care about inversion). I've noticed each is only a half-step away from a more-identifiable tetrad.
(Outside any musical context. Assume the usual 12-ET. Any enharmonic spelling or note ordering is okay.)
C G B F (C-M9sus4? C-M11?)
Ab C E B
Ab C E Bb
G B D# A#
B Eb Gb Bb
C Gb Bb D
F C Eb Bb
B E Gb Bb
Bb F C E (Bb-M11? Bb-Aug11?)
C# G B D# (C#-m11flat5?)
C# E B F#
Thank you for any help!
(1)1 Comments
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C G B F (C-M9sus4? C-M11?) C Maj7 add 4, or C Maj11
Ab C E B - Ab aug add #9
Ab C E Bb - Ab aug add 2
G B D# A# - G aug add #9
B Eb Gb Bb - Ebmin add #5 (first inversion)
C Gb Bb D - C9 add b5
F C Eb Bb - F7 add 4 (could be major or minor)
B E Gb Bb - 057e (12-tone)
Bb F C E (Bb-M11? Bb-Aug11?) - Bb add #4 add 2 (could also be major or minor)
C# G B D# (C#-m11flat5?) - G aug add #4 (first inversion)
C# E B F# - C#min7 add 4
BUT, there are a lot of ways to view these combinations, and the above is not exclusive.
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