Projective tuning space: Difference between revisions

Projective tuning space is the [http://en.wikipedia.org/wiki/Projectiavization projectivization] of ordinary [[Vals_and_Tuning_Space|tuning space]]. If a point in tuning space does not map octaves to zero, we can divide by the value to which "2" is mapped and obtain a pure-octaves tuning which serves to represent the point in projective tuning space. If the dimension of tuning space is n, the dimension of the corresponding projective space is n-1. In particular, 5-limit projective tuning space is two-dimensional, making it easy to depict it graphically.