QUADRIVIUM III

QUADRIVIUM II

alKEMy


“We are thus faced with the fact that there is no end to this process we have initiated: transposition up a fifth and transposition down a fifth take us on infinite journeys, ever generating new notes, even if some of these... are tantalizingly close. The journey can be thought of as traversing a spiral... for each 30º step clockwise we spiral outwards and transpose up a fifth, while for each 30º step anti-clockwise we spiral inwards and down a fifth. Adjacent points on the same ray of the spiral differ by the Pythagorean comma.”
-Neil Bibby, Tuning & Temperament: Closing the Spiral

Pythagorean Comma ≈ √3
Adjusting the perfect fifths (≈ -0.017) to a 12-note equal temperament closes this spiral into a circle. The transition between these geometric formulations of the chromatic music scale is a Key to the harmony of numbers underpinning the architecture of Tarot & Qabalah.





Mer
KA
BA
Merkabah (Chariot)


Herakles' 11th Labor

½(√5 + 1)

Quadrivium I

http://en.wikipedia.org/wiki/Vesica_piscis


2
6
5

÷
153
http://en.wikipedia.org/wiki/153_%28number%29#In_the_Bible






Tetraktys






Donut








Khnum-khufu




STERADIAN









7th Octahedron (231)

XV

Diabolus in Musica

apples, anyone?

Coordinates set at Dec.25th, 1 BC = Zero

Dec. 21, 2012


Golden Mean









Nodus