Mediant hull: Difference between revisions
Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
||
Line 7: | Line 7: | ||
== Properties == | == Properties == | ||
Todo; rank 3 example | |||
The Farey hull of ''r'' non-collinear tunings of a rank ''r'' scale is an (''r'' − 1)-dimensional simplex with vertices the ''r'' starting values. Each face (of dimension ''r'' − 1) of this simplex is the Farey hull of a choice of ''r'' − 1 of the starting tunings. | The Farey hull of ''r'' non-collinear tunings of a rank ''r'' scale is an (''r'' − 1)-dimensional simplex with vertices the ''r'' starting values. Each face (of dimension ''r'' − 1) of this simplex is the Farey hull of a choice of ''r'' − 1 of the starting tunings. | ||