TL;DR
The root of the chord, as given, is B
-- thus, a vii
chord -- because the resolution of the outer voices dominates the sound.
How do we get to a Db
(i.e., bII
) chord?
Voice-leading "rules"
In the canonical teaching of functional harmony, there are rules about how certain intervals are required to resolve. In particular:
- diminished intervals resolve "inward";
- augmented intervals resolve "outward";
- The resolution of outer voices generally takes precedence over inner voices.
Voice-leading applied to the OP chord as Db7
In the case of the OP chord, B-F
, being a diminished fifth, resolves "inward" to C-E
. F-B
, as in a root position Db7
chord, resolves "outward" to E-C
. (Note that this would also hold in a C minor
context.)
X:1
M:C
K:none
L:1/2
"_d5"[Bf]"_M3"[ce] | "_A4"[FB]"_m6"[Ec] || [K:Cminor] "_d5"[=Bf]"_m3"[ce] | "_A4"[F=B]"_M6"[Ec] ||
Similarly, the B-Db
, being a diminished third, resolves inward to C; Db-B
would resolve outward to C. (Since the OP is in C major, the minor case is excluded.)
X:1
M:C
K:none
L:1/2
%%score (V1 V2)
V:V1 clef=treble stem=up
V:V2 clef=treble stem=down
[V:V1]_d c | B c ||
[V:V2]"_d3"B "_P1"c | "_A6"_D "_P8"C ||
Thus, so far, we have the following, given the OP voicing and the "rules".
X:1
M:C
K:none
L:1/2
%%score (V1 V2)
V:V1 stem=up
V:V2 stem=down
[V:V1] "as given"[_DF][CE] || "spaced out"[B,F_d][CEc] || "root position"[_DFB][CEc] ||
[V:V2] B,C ||
The A, being an inner voice, we can be a bit loose with and just let it resolve down to G. (We could also argue whether it's actually an A
[#5
, which should resolve upward] or a Bbb
[b6/13
, which should resolve downward], but let's not.)
X:1
M:C
K:none
L:1/2
%%score (V1 V2)
V:V1 stem=up
V:V2 stem=down
[V:V1] [_DFA][CEG] ||
[V:V2] B,C ||
BUT ...
The naming of this chord depends a great deal on its voicing. When voiced as a root position Db
chord, the sound of the resolving Db
, F
, and B
dominates -- particularly the outer voices.
X:1
T:Ⓐ sounds like Ⓑ
M:C
K:none
L:1/2
[V:V1] "Ⓐ"[_DFAB][CEGc] || "Ⓑ"[_DFB][CEc] ||
However...
...it is exactly because the outer voices dominate that, as given, the B
, F
, and A
resolution dominates.
X:1
T:Ⓒ sounds like Ⓓ
M:C
K:none
L:1/2
[V:V1] "Ⓒ"[B,_DFA][CEG] || "Ⓓ"[B,FA][CEG] ||
Further ...
... the sound doesn't change much if you displace the Db
by an octave.
X:1
T:Ⓒ2 also sounds like Ⓓ
M:C
K:none
L:1/2
[V:V1] "Ⓒ2"[B,FA_d][CEGc] || "Ⓓ"[B,FA][CEG] ||
Thus ...
... the given chord is either B7b5b9
or B∅7b9
, which one being determined by the melody or other context -- or left ambiguous.
Conclusion
The given chord is a vii
chord, rather than a bII
chord.