The basic realm used by musical tuning computations and modeling is a real space.
A real space is a linear or vector space that is restricted to the set of real numbers, i.e., it does not deal with imaginary or complex numbers.
Informally, the real space consists of a collection of objects called vectors, real numbers (scalars), and two operations which are required to have certain specific properties. The two operations are:
There are specific properties of a real space.
A specific use of real-space is tone-space, which is the space used by tuning theorists.