“To Pythagoras music was one of the dependencies of the divine science of mathematics, and its harmonies were inflexibly controlled by mathematical proportions. The Pythagoreans averred that mathematics demonstrated the exact method by which the good established and maintained its universe. Number therefore preceded harmony, since it was the immutable law that governs all harmonic proportions. After discovering these harmonic ratios, Pythagoras gradually initiated disciples into this, the supreme arcanum of his Mysteries. He divided the multitudinous parts of creation into a vast number of planes or spheres, to each of which he assigned a tone, a harmonic interval, a number, a name, a color, and a form. He then proceeded to prove the accuracy of his deductions by demonstrating them upon the different planes of intelligence and substance ranging from the most abstract logical premise to the most concrete geometrical solid. From the common agreement of these diversified methods of proof he established the indisputable existence of certain natural laws.” ~Manly P. Hall
Some people laugh at the idea of a divine science or spiritual science. They see science and spirituality as opposites. Either that or they think one is real and the other fantasy. Which is which varies depending on the individual.
But divine science is a real thing. It is just as real as material science. And mystery schools like that of Pythagoras didn’t fantasize their teachings, they used real science to study reality and make scientific deductions based on their experiments and observations.
Mathematics of Divine Science
One of the first things ancient spiritual leaders learned is that spiritual science is mathematical. More mathematical, in fact, than material science. Because the realm of matter is flawed, having been created by the Demiurge and not the real God, it has laws, but also exceptions to all of them. Few, if any, exceptions are to be found in spiritual laws that govern spiritual realms. So the spiritual worlds function in complete harmony, with a hierarchy and structure that is mathematical and pure. As Hall puts it, they are inflexibly controlled by the divine science of mathematics.
Exactly what Mr. Hall means by the supreme mysteries of the school of Pythagoras is unclear. That, of course, is intentional. The deeper mysteries are never revealed to the general public or written in a book unless codified with allegory so they won’t be revealed to the profane who would harm themselves or others with the knowledge of divine science. We do know that Pythagoras and his students watched the sunrise daily, with chants and music as an accompaniment to enhance the experience and help them reach those higher frequencies needed for spiritual awakening.
Pythagoras divided creation into planes or spheres. Today we call these plane dimensions. Each dimension has a different frequency, a different density, and a different level of consciousness. It makes sense that they would each have a different sound harmony and a different color associated with them, just as the energy centers of man (chakras) are also associated with different colors and frequencies. As above, so below. That too is a part of divine science. In fact, all science is about studying the various levels of consciousness. We may not think of it that way, but it is. One particular scientist may only study the colors of the spheres, while another studies the frequencies. Some may concentrate on the study of a single dimension while ignoring others. But since all of it is ultimately just different levels of consciousness, that is really all they are studying. Those who only study mundane science may not be aware of that. Those who study divine science are.