Pythagoras - The Flower of Life's Geometric Lessons (original)

The True Pythagorean Scale generates a thirteen note scale, and since it actually only uses 12 of the 13 notes it in many ways resembles our 12 note chromatic scale used today. It also may be reconstructed using whole steps (9/8) obtained by tha formula (3/2x3/2)/2 and half steps at (256/243) obtained by tha formula (1x2x2x2x2x2x2x2x2/1x3x3x3x3x3 in order to construct the Rainbow Modes which resemble our diatonic scale and the 7 Greek modes with 7 notes each. A Pythagorean 13 note scale is created by spiraling 6 perfect 5ths (3/2 up from the fundamental tonic) and 6 perfect fourths (2/3 down from tha tonic). Tha two end notes of this spiral cycle of 13 notes (with tha tonic in the center) are our near equivalents to tha augmented 4th and the diminished 5th in our tempered scale which in this case are no longer tempered and equal. That difference describes an interval which is not normally played and is referred to as tha "Pythagorean Comma" which is 23.46 cents (almost 1/4th of our equal tempered 1/2 step. By theoretically and symbolically continuing this spiral we create a resonant road to infinity. This illusive number which is precisely 531441/524288 should be celebrated as the perfect geometric portal to infinity and studied as profoundly or even more so than tha numbers of pi and phi, the golden mean ratio and other special harmonic numbers. There are many secret and special qualities of this magic ratio which I believe will be revealed to us in time. However almost all musical experts past and present have mistakenly claimed that this number is and always has been an enigma.They insist that the Pythagoreans were terrorized by this comma. I am sure that neither Pythagoras nor his followers were ever terrorized by this incredible fact of nature. Tha beauty of this comma is hidden in that very mystery. It contains the secret of our resonance underlying biology, electromagnetism and tha quantum field.This Spiral doesn’t close to make tha circle of fifths as does our equal tempered chromatic scale. Reaching tha13th interval in the cycle of Pythagorean fifths it instead spirals on to infinity just like nature herself. It is tha formula of creation itself. The numbers 1, 2 and 3 generate the geometric pattern we call the Flower of Life.