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| INTRODUCTION |
There are several aspects to this project. One has to do with the foundations of Archimedean and Platonic forms and their implications.
There is a tradition of scholars over several centuries who have either refined or redefined the claims of Pythagoras. In the area of music theory, for example, the old Quadrivium no longer saw music as a mathematical exercise related to the music of the spheres, but a whole system of musicology in which Western music moved from a Platonic system of tetrads to modern systems of equal temperments. New systems are emerging that investigate the implications of microtuning. All of these models are discussed in this section.
Mathematical Archetypes are the focus of this project. Why do the same structures appear in different modalities with the same shapes, forms, and structures? Many of these archetypes began within the mathematical school of Pythagoras and were associated with his school of mysticism and his theory of cosmologty. Regardless of this fact, mathematical archetypes continue to raise questions about these forms and how they are lated to the forms of nature.
In modern times, these scholars do not study Platonic forms, but mathematical archetypes. There is a reason why the same relationships among forms exist over a wide range of modalities. They are probably all manifestations of the same underlying energy system. This is why these forms are so common as organic forms.
As portions of this project are completed, they will be published on this web page.