Hera's Orchard
A repository of 'alchemical' diagrams mapped out while researching the integration of Tarot & Qabalah
Sunday, December 25, 2011
Saturday, June 11, 2011
Tuesday, November 16, 2010
Saturday, October 2, 2010
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)
“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)
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