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The Decans

The Decans take the notion of "as above so below" to the level of the individual sign and offer an understanding of each sign as a succession of the signs making up its element. There being 12 initial signs in the zodiac we have 36 Decans to consider. Further, by repeating the notions of Gender and Day and Night so richly present in the esoteric ways of looking at things we can later make the connection from the Zodiac to the Tarot.

The table below integrates the classical keywords given for these Decans with the formulas and in the process derives the modus operandi of each Decan:

Decans Seasons Elements

Season Zodiac First Decante Second Decante Third Decante
Spring Aries-Aries
March 21st

Activity
Exaltation
Propaganda

Aries-Aries, 1., CardinalFire
Mars

Fire = Air**2 / Earth

I am self-asseriveness

Leo-Leo, 5., FixedFire
Sol/Sun

Water = Fire / Air
+Fire = Air**2 / Earth


Water(Fire)=Air / Earth ==Virgo
Sagittarius-Sagittarius, 9., MutableFire
Jupiter

Air = sqrt( Fire * Earth )
+Fire = Air**2 / Earth


Air(Fire)=Air
Taurus-Taurus
April 21st

Determination
Struggle
Mastery

Taurus-Taurus, 2., FixedEarth
Venus

Fire = Earth * Water**2

I have determination

Virgo-Virgo, 6., MutableEarth
Mercury

Water = Air / Earth
+Fire = Earth * Water**2


Fire(Water)=Air**2 / Earth ==Aries
Capricorn-Capricorn, 10., CardinalEarth
Saturn

Earth = Air / Water
+Fire = Earth * Water**2


Fire(Earth)=Air * Water ==Gemini
Gemini-Gemini
May 22nd

Intuition
Fidelity
Reason

Gemini-Gemini, 3., MutableAir
Mercury

Fire = Air * Water

I think versatility

Libra-Libra, 7., CardinalAir
Venus

Air = Fire / Water
+Fire = Air * Water


Air(Fire)=Air
Aquarius-Aquarius, 11., FixedAir
Saturn

Earth = Air**2 / Fire
+Fire = Air * Water


Earth(Fire)=Air / Water ==Capricorn
Summer Cancer-Cancer
June 22nd

Moods
Revelation
Research

Cancer-Cancer, 4., CardinalWater
Luna/Moon

Water = sqrt( Fire / Earth )

I feel at home

Scorpio-Scorpio, 8., FixedWater
Mars

Air = Earth * Water
+Water = sqrt( Fire / Earth )


Water(Air)=sqrt( Fire * Earth ) ==Sagittarius
Pisces-Pisces, 12., MutableWater
Jupiter

Earth = Fire / Water**2
+Water = sqrt( Fire / Earth )


Water(Earth)=Earth
Leo-Leo
July 23rd

Rulership
Reformation
Ambition

Leo-Leo, 5., FixedFire
Sol/Sun

Water = Fire / Air

I will affection

Sagittarius-Sagittarius, 9., MutableFire
Jupiter

Air = sqrt( Fire * Earth )
+Water = Fire / Air


Water(Air)=sqrt( Fire / Earth ) ==Cancer
Aries-Aries, 1., CardinalFire
Mars

Fire = Air**2 / Earth
+Water = Fire / Air


Water(Fire)=Air / Earth ==Virgo
Virgo-Virgo
August 24th

Achievement
Experience
Renunciation

Virgo-Virgo, 6., MutableEarth
Mercury

Water = Air / Earth

I analyse discrimination

Capricorn-Capricorn, 10., CardinalEarth
Saturn

Earth = Air / Water
+Water = Air / Earth


Earth(Water)=Earth
Taurus-Taurus, 2., FixedEarth
Venus

Fire = Earth * Water**2
+Water = Air / Earth


Fire(Water)=Air**2 / Earth ==Aries
Fall Libra-Libra
September 23rd

Policy
Independence
Expiation

Libra-Libra, 7., CardinalAir
Venus

Air = Fire / Water

I balance partnerships

Aquarius-Aquarius, 11., FixedAir
Saturn

Earth = Air**2 / Fire
+Air = Fire / Water


Earth(Air)=Fire / Water**2 ==Pisces
Gemini-Gemini, 3., MutableAir
Mercury

Fire = Air * Water
+Air = Fire / Water


Fire(Air)=Fire
Scorpio-Scorpio
October 24th

Resourcefulness
Responsibility
Attainment

Scorpio-Scorpio, 8., FixedWater
Mars

Air = Earth * Water

I desire secret forces

Pisces-Pisces, 12., MutableWater
Jupiter

Earth = Fire / Water**2
+Air = Earth * Water


Air(Earth)=Fire / Water ==Libra
Cancer-Cancer, 4., CardinalWater
Luna/Moon

Water = sqrt( Fire / Earth )
+Air = Earth * Water


Air(Water)=sqrt( Fire * Earth ) ==Sagittarius
Sagittarius-Sagittarius
November 23rd

Devotion
Exploration
Illumination

Sagittarius-Sagittarius, 9., MutableFire
Jupiter

Air = sqrt( Fire * Earth )

I see aspiration

Aries-Aries, 1., CardinalFire
Mars

Fire = Air**2 / Earth
+Air = sqrt( Fire * Earth )


Fire(Air)=Fire
Leo-Leo, 5., FixedFire
Sol/Sun

Water = Fire / Air
+Air = sqrt( Fire * Earth )


Water(Air)=sqrt( Fire / Earth ) ==Cancer
Winter Capricorn-Capricorn
December 22nd

Organization
Martyrdom
Idealism

Capricorn-Capricorn, 10., CardinalEarth
Saturn

Earth = Air / Water

I use honor

Taurus-Taurus, 2., FixedEarth
Venus

Fire = Earth * Water**2
+Earth = Air / Water


Earth(Fire)=Air * Water ==Gemini
Virgo-Virgo, 6., MutableEarth
Mercury

Water = Air / Earth
+Earth = Air / Water


Earth(Water)=Water; Water(Earth)=Earth #1
Aquarius-Aquarius
January 20th

Originality
Inspiration
Repression

Aquarius-Aquarius, 11., FixedAir
Saturn

Earth = Air**2 / Fire

I know altruism

Gemini-Gemini, 3., MutableAir
Mercury

Fire = Air * Water
+Earth = Air**2 / Fire


Earth(Fire)=Air * Water ==Gemini #2
Libra-Libra, 7., CardinalAir
Venus

Air = Fire / Water
+Earth = Air**2 / Fire


Earth(Air)=Fire / Water**2 ==Pisces
Pisces-Pisces
February 19th

Truth
Self-Sacrifice
Vicitudes

Pisces-Pisces, 12., MutableWater
Jupiter

Earth = Fire / Water**2

I experience the super-physical

Cancer-Cancer, 4., CardinalWater
Luna/Moon

Water = sqrt( Fire / Earth )
+Earth = Fire / Water**2


Earth(Water)=Earth; Water(Earth)=Water #1
Scorpio-Scorpio, 8., FixedWater
Mars

Air = Earth * Water
+Earth = Fire / Water**2


Earth(Air)=Fire / Water ==Libra

how to read this:
triangle1(triangle2)=formula == result
example: Earth(Air)=Fire / Water == Libra
read as: Earthy-Air, Earth by way of Air, or Air of Earth results by Fire burning Liquid/Water, which is the process of Libra

point to any symbol for a 'pop-up translation'
* - amplified by, synergy, multiplication, mutual support, each boosts the other
/ - from, using (burning, forming, considering, ..), division, more of this & less of that, discrimination, balancing
**2 - 'turbocharges' the element in question, non-linear, bombastic, turbo squared
sqrt - un-turbo, small changes for big variations, saevis tranquillus in undis (peace in troubled times)
== - which is, equates the process of, 'equals', connects to, continue at
= - consists of, is generated by, results from the interactions of

fire=air == the universe is a mental creation.
god & man create in identical ways, in a way.

water=earth == the creators aims and his creation are one.
everything is as complex as it ever will be. that's a good thing.

its at the intersections where an element rather than a sign describes the Decan that alternating current transforms the equations most significantly. for example, if we're saying that watery-earth is earth, or is described and understandable by the nature of earth then we're making this observation on a corpse. you can not have 'missing' elements and in this you might thing of digestion driven by a heart-beat and the time between meals to 'see' where the math behind alternating current can provide vital insights.

in any case, as far a tarot etc goes, these equalities show the positions of the maternals.. in hebrew lore without any of the hide and seek so common there.

in any case, i trust that this grid will help put an end to the infinite circular reasoning that's so easily possible when you venture into this realm without the sciences to guide you. you might skip around in this grid by following a chain until you get back to an element/season. that's a stopping point from where you get to pick a new direction or consider cyclical elements and activities in your reasoning. Each stopping point serves to remind you that you have three choices by the modes of that season or that you may want to consider the inferior element attracting the action to begin with.

#1 - dual outcome, rarifies the understanding of the element considered against the background of another of same sex
#2 - the mind as unchangable catalyst; formulas 'short out' to same answer

i'm still auditing the formulas on this page