It is well known that a chord inversion occurs when the bass note is not the triad´s fundamental. In the case of the vii°, the bass note would be the third of the chord. When in C major, the seventh grade is B, D, F, therefore vii° would be D,F,B.
When using a four note chord doubling the fundamental, vii° logically becomes D,F,B with an extra B. Having two sensitive notes produces the senstaion of unstability, it is then accoustomed to double the third instead. In the given example vii6 would become D F B D.
The reader´s next question would probably be: “When am I going to use vii6 (which is the same of B°/D)?”
It can be used to change I6 back to I giving the sense of a V-I cadence. In most cases it can even substitute a V4 3 (V7/D) chord, since it is almost identical except for one note.
As we have prevoiusly done with other musical concepts we leave a small piece for voice and piano to exemplify a usage of this chord.
The reader can listen to the piece in the following link: