"Black" and "White" or "B-Lack" and "Why-T" to use a pretty pointless reductionist approach are used inappropriately, not necessarily because of the construction of the words, as I have described them, though one could object in the manner that I have done to their syllabic associations.
The real reason they should be abandoned for describing "family" is the reason I have stated elsewhere, namely that "Black" and "White" define a linear order. "Family" is derived from the union of a "father" with a "mother", in other words, the result of the union of two parts, which leads to a "family tree" which mathematically is called a "partial order" as opposed to a "linear order".
The use of "colour" for partitioning humanity is problematic for a more general reason, and indeed the mathematics refuting it has yet to written down, if indeed it ever can be, which I think it can. It has to do with the mathematics of Rastafari, the God head, whereby we are all our own origin, zero point, Ras, relative to a common origin God.
Some people talk of vector spaces as being able to encapsulate such an idea, but they have limited degrees of freedom, being composed of linear orders.
To my mind we should be talking about "families" relative to God, or partial orders, which would allow us to distinguish between tribes, friends and relatives, remember they are relative to the common one God, so even distinguishing enemies is permitted, algebra then allows us to change our relationships of labelling them as friend or foe, English or American, African or Chinese, Northerner or Southerner, etc. etc. without destroying the fundamental unit of husband and wife and their offspring.
In other words, what I am talking about is the mathematical definition of the "nuclear family", something, which as I said, I don't think has been written down formerly by anyone yet.