Following is a proposal of sorts…
Your current logo is the acronym BBC (British Broadcast Corporation) arranged in three blocks. (Fig 1)
In musical notation, the positions of the notes ‘B’ and ’C’ on the stave is half a step. (Fig 2)
I propose a modification to the current logo, raising the ‘C’ to sit above the ‘B’. (Fig 3)
The reworked logo animates with a musical mnemonic of the same three notes.