Musical Geometries

Hi there,

Thought also a quick intro may be useful for newbies to the list. Just to the over all idea -
what the models are all about.

The idea of these scales is that you have a note at every vertex of a geometrcial
shape such as an octahedron (double square pyramid).

Then each edge can play the notes for the two vertices
it joins, as a diad. Each face can play a triad, for the three notes
at its corners. Some of the models have tetrahedra two (triangular pyramids)
- which play tetrads for the four notes at the four vertices vertices.

Then the notes are chosen so that the triads are all pure and consonant just triads
and then as you move from one face triad to the next, since the faces share an
edge, this means the triads share a diad and only differ in one note.

So you get these visual geometries and the geometrical shapes you see
actually show the connections between the triads you hear when you click
on the faces - a wonderful kind of synthesis of geometry and music.

So one can think of it as a kind of musical abstract sculpture.
Pieces get composed in them too - Kraig Grady has done a lot of
work in these scales.

Robert