Is there a term for the interval [-1.0, 1.0]?

Question

When representing data, it is sometimes appropriate to normalize (typically rational) numbers to the range $$[0.0, 1.0]$$ For variables that have symmetric extremes (min, max) around a meaningful zero, the representation $$[-1.0, 1.0]$$ is more appropriate. While the former range can be described as normalized and 1.0 as unity, is there a specific term for the interval $[-1.0, 1.0]$?

Answer 1

A specific term for this object is the closed unit ball in 1-dimensional Euclidean space.

Answer 2

I have settled for the expression signed unit interval, borrowing from both mathematics and computer terminology.