I am reading this book at the moment that is fully intense.


http://interferencetheory.com

So far it turns out most tuning systems we have today avoid the 'Tritone'. And this 'Tritone' avoidance was done by the Roman Catholic Church with its anti-harmonic influence to wash out all Hermetism, Pythagoreanism, Paganism and other full on ancient groups of philosophers that basically show that anyone can become enlightened without the need of a church, but by studying things like the harmonics of the world. This 'Tritone' avoidance has been very succesful, because still today it is barely discussed even when scientists are studying harmonics and acoustics in physics. 

The guy briefly discusses in the book how the Solfeggio Frequencies do use Pythagorean tuning, but the Solfeggio tones have totally avoided the Tritone. And this Tritone apparently balances the Positive and Negative in the octave. Apparently Pythagorus was using the Tritone to unite music with the Pentagram by fixing up the slight variation the Fibonnaci sequence spiral has in regard to perfect Phi. 

I have no idea what it all means. Just started looking into what this Tritone can do, and why it has been so desperately kept from the human race over history? Maybe understanding it can help link music to the Rodin Maths better, because then we might have a real tuning system that hasn't been corrupted? 

Like maybe there is a better way to divide the Octave, than with the chromatic scale method that has been so popular and crossed the world over the past 400yrs.

The book sort of says something like Pythagorus used 2 tetrachords, a positive and negative, either side of a Tritone. And that he was linking it all to Platonic geometry, Phi and especially the Pentagram.

Anyway, nice diagrams.