Benjamin, sorry for any offence caused, I had assumed your post was humorous. If it wasn't, then we need to talk....Jim, I cannot get to grips with your concepts. How does Ddim feature in the scheme of things in the scale of C Major? Ddim contains a G#.
Bdim is essentially just another way of describing Bdim, or Fdim, or G#dim. If you are regarding the triad formed by B-D-F as a diminished chord, IMHO you are way off-beam. It makes much more sense to regard it as part of a G7 chord, (G-B-D-F)the dominant seventh chord in the scale of C Major.
Diminished chords need FOUR notes to define them.
Murray