The 13th Harmonic Aspects

[glaucus]

In his book Harmonics In Astrology, John Addey wrote about the 13th Harmonic Aspects.



He wrote:

The number 13 is also interesting. It represents the one in the midst of the twelve and so suggests the idea of spiritual (?) lordship. Keith Crichlow in his valuable study of Order in Space points out that twelve spheres of equal size will exactly fit round a central sphere of the same size so that all are exactly touching their neighbors. The aspects in the thirteenth series as follows:

27°42', 55°23', 83°05', 110°46', 138°28', 166°09'



Tje Latin word for 13 is tredecim.

With that in mind and applying logic based on how specific harmonic aspects have been labled like with the 6th harmonic being Sextile, 7th harmonic being Septile, 8th harmonic being octile, 9th harmonic being Novile, 10th harmonic being Decile, 11th harmonic being Undecile, etc.



27°42' is 1/13 - Tredecile (108° ,the 3/10 is actually TriDecile which is also known as Sesqui-quintile which is the actual name that Solar Fire uses for the aspect)

55°23' is 2/13 - BiTredecile

83°05' is 3/13 - TriTredecile

110°46' is 4/13 - QuadriTredecile

138°28' is 5/13 - QuinqueTredecile

166°09 is 6/13 - SexTredecile



Based on 15 degree orb for the Conjunction, the harmonic proportionate orb for the 13th harmonic aspects is 1 degree, 9 minutes.



The QuinqueTredecile (138°28') runs into the Golden Mean Aspect(137°30) which is the 55/144 aspect. The Golden Mean Aspect's harmonic of 144 is far higher than the QuinqueTredecile's harmonic of 13. The higher the harmonic, the narrower the harmonic proportionate orb. Based on 15 degree orb for the Conjunction, the harmonic proportionate orb for the 144th harmonic aspect is only 6 minutes. I don't know any astrologer that works with 144th harmonic aspects, and so ignoring the 144th harmonic aspect in favor of the much lower harmonic 13th harmonic aspects seems sensible. However, The Golden Mean is a Transcendental Number that has been been referred to as Divine Proportion and a important part of Sacred Geometry and tied to the Fibonacci numebers. Dr. Theodor Landscheidt thought it was important enough to create astrological aspects based off the Golden Mean. The Golden Mean Aspect has many correlating Fibonacci harmonic aspects that have Fibonacci numbers as both numerator and denominator (its primary 55/144 is just one example) which I have shown in my blog post about the Golden Mean Aspect and its harmonics.



The SexTredecile (166°09) is an an aspect that is run into if using a wide orb of 2 1/2 to 3 degrees for the 11/24 aspect UndeciVinginquartile (165°) which has been given the name, Quindecile by Noel Tyl even though the name had already been given to the 1/15 aspect which is 24°. I happen to have Venus SexTredecile Saturn with an orb of 30 minutes.

The Harmonic proportionate orb for the 24th harmonic aspects based on the Conjunction being 15 degrees is 38 minutes. The Harmonic proportionate orb for the 15th harmonic aspects, which have been in existence since Johannes Kepler, is 1 degree.

The 7/15 aspect The SeptQuindecile (168°) is another aspect that is run into if using a wide orb of 3 degrees for the UndeciVinginquartile.

The 5/11 aspect The QuinqueUndecile (163°38'10'') is another aspect that is run into if using a wide orb of 2 1/2 to 3 degrees for the UndeciVinginquartile. I happen to have Mercury QuinqueUndecile Saturn with an orb of 25 minutes and part of a 11th Harmonic Aspect with Mars, Uranus, and Pluto's fellow TransNeptunian Dwarf Planet/candidate Detached Object (Out There) Sedna that is so symmetrical that includes 1 Isosceles Trapezoid and 4 Isosceles Triangles with corresponding midpoint pictures. I am highly geometrically oriented in how I do Astrology without use of a house system nor zodiac interpretation, and so I definitely take Combined Planetary Geometry into account since my studies of Magi Astrology, Cosmobiology, and Uranian Astrology for many years. The 11th harmonic aspects is one of the main reasons that I disagreed with the orb that Noel Tyl and his followers use for the 11/24th aspect.



John Addey noted that searching for representations of the number 13 in art, literature, etc., one thinks of the Last Supper and used to be a favorite theme of artists. Addey wrote that Leonardo da Vinci's painting is usually given pre-eminence because he evidently gave more thought to the whole subject.



John Addey pointed out that Leonardo da Vinci has a 13th harmonic aspect Venus 138°28 Saturn with an orb of 7 minutes. He wrote that the aspects of Saturn and Venus are always important in the maps of artists because they relate to the effort to give shape and form to the beautiful.

There is a problem with what he wrote about Leonard. It is based on the April 15, 1452 birthdate that Noel Tyl used for Leonardo da Vinci which made him think that Leonardo had a Moon 165° Neptune even though Astrodatabank has Leonardo's birthdate as April 15, 1452 with considering Florentine time. With the April 14, 1452 birthdate, Leonardo doesn't have Moon 165° Neptune nor Venus 138°28 Saturn.



However, he does have multiple 13th harmonic aspects that include:



Midheaven QuinqueTredecile Mars - 34 min



Moon QuinqueTredecile Saturn - 24 min

Moon QuinqueTredecile Uranus - 38 min

Moon QuinqueTredecile North Lunar Node - 43 min



Venus TriTredecile Jupiter - 6 min

Venus QuinqueTredecile North Lunar Node - 58 min

(it's also an exact Golden Mean Aspect of 137'30)

Maybe Venus and Jupiter in 13th harmonic aspect might factor into religious expression in art.



Jupiter TriTredecile North Lunar Node - 52 min



Venus, Jupiter, and North Lunar Node are in a 13th Harmonic Triangle.



Saturn TriTredecile North Lunar Node - 19 min



I had looked at the 13th harmonic aspects in my chart.



Sun QuadriTredecile Mars - 12 min



Moon QuinqueTredecile Uranus - 34 min

Moon QuinqueTredecile Orcus - 49 min

Uranus TriTredecile Orcus - 15 min

13th Harmonic Isosceles Triangle with a corresponding midpoint picture of

Moon oppose Uranus/Orcus - 40 min

(For many years, I have known that I have this midpoint picture, but I had no idea that it was because of the 13th Harmonic Triangle.)

Orcus is another of Pluto's fellow Trans-Neptunian Dwarf Planets, and so it's an Evolutionary Intensified Object. It has 2:3 orbital resonance with Neptune like Pluto does, and so it's categorized as Plutino.

My Moon, Uranus, Orcus 13th Harmonic Triangle could be a factor in my being into Astrology like



Mercury TriTredecile North Lunar Node - 56 min



Venus SexTredecile Saturn - 30 min



I have been working on a Divergent Astrology blog post about Leonardo da Vinci, and I am actually done with that and will add to my blog after my next blog post The 11th Harmonic Aspects. However, I decided that I will include the 13th Harmonic aspects. He has another triangle that involves another harmonic and might be an astrological indicator of his genius, but most mainstream astrologers would certainly dismiss it even though some astrologers work with the minor 24th harmonic aspects and give them an orb of 2 1/2 to 3 degrees which runs into aspects of lower harmonics which I have already pointed out.



There is a great diversity among Astrologers that include a Tower of Babel that Steven Forrest has pointed out when he was speaking about the Future of Astrology at NORWAC in 2007, and aspects and their orbs are part of that hot debate. "One True Astrology" is a myth. Just like there are many religions and spiritual practices, there are many astrological systems. A lot of it is relative and arbitrary. I have definitely changed my views about Astrology over the years.

I gradually changed being passionate about mainstream Tropical Zodiac Astrology to being a Sidereal Zodiac user with a Keplerian approach to Astrology that works with only aspects, but I have a strong interest in the original Babylonian symbolism of the zodiac signs which is quite different from how both Sidereal Zodiac signs and Tropical Zodiac signs are viewed.

[glaucus]

This is my 13th Harmonic Isosceles Triangle of Moon, Uranus, and Pluto's fellow Trans-Neptunian Dwarf Planet/candidate Orcus that has a corresponding midpoint picture of Moon oppose Uranus/Orcus with an orb of 40 minutes.

All aspect orbs are within 1 degree, 8 minutes which is the harmonic proportionate orb for the 13th Harmonic aspects based on 15 degrees for Conjunction.


Moon 5/13 Uranus - 34 min
Moon 5/13 Orcus - 49 min
Uranus 3/13 Orcus - 15 min


This would indicate that my emotional nature (Moon), independence (Uranus), and Death As A Force in Life/Evolutionary Intensification are in a connection that adventurousness (testing one’s limits, the search for one’s identity).

I believe that this configuration factors into my neurodivergence of Dyslexia, Dyspraxia, ADHD with the planet of the Unconventional, Uranus and Trans-Neptunian Dwarf Planet/candidate Orcus which is nonconformist, transcendental, transpersonal like Pluto is if take the orbital symbolism into account.

Like Pluto, Orcus has 2:3 orbital resonance with Neptune, and its classed as a Plutino. Its orbital period of 245.19 years is very close to Pluto's orbital period of 247.94 years. Orcus is the largest Plutino after Pluto itself. Orcus' orbital inclination of 20.592° is close to Pluto's orbital inclination of 17.16°.  Orcus' orbital eccentricity of 0.22701 is  close to Pluto's orbital eccentrity of 0.2488.  Both objects have highly eccentric orbits. Astronomically, Orcus and Pluto are nonconformists. Therefore, they are nonconformists astrologically. They should be viewed as making Uranus looking a little normal.

As a Trans-Neptunian Dwarf Planet candidate, Orcus is an Evolutionary Intensified Object like Pluto is.

Moon-Uranus-Orcus can be interpreted similarly to Moon-Uranus-Pluto.


I also have a t-square of Moon square Saturn-Neptune opposition with a corresponding midpoint picture of Moon oppose Saturn/Neptune - 17 min

I have Moon in opposition to both Saturn/Neptune midpoint and Uranus/Orcus midpoint within 1 degree orb.


I have other Orcus influences

Sun Contraparallel Orcus - 0 min in Declination (with corresponding Sun oppose Orcus - 1 min in Declination Longitude Equivalent Chart)
Sun BiSeptile Orcus - 0 min in Ecliptic Longitude, 7 min in 3D
Venus Trine Orcus - 40 minutes in Ecliptic Longitude, 1 degree in 3D



from Linda Lee Berry's site

<=== ORCUS: Death as a force in life===>
Orcus ( 2004 DW / 90482 ) deals with death as a factor in life and how it impacts us and what death teaches us about life as well as what life teaches us about death. It does not necessarily represent death as an experience, although significant personal aspects result in death playing a larger than life role in that person's life. There is also an affinity with Orpheus, even to the extent that an artist and critic who was an Orcus Incarnate, deliberately chose a new last name that was an anagram of Orpheus.

Images and Symbols of Death seem to affect the points aspected by Orcus.


KEY CONCEPTS - ORCUS

Death as a teacher
The Song of Death
To play with death
Spell-binding quality
Isolation
Dealing with Death, Murder, Suicide
Some kind of relationship to death
To have or deal with Stigmata
To die for one’s beliefs/principles
To oppose death or death dealing groups
Study of history
Sacrifice
To deal with the dead (channeling, messages from the dead) – Chico Xavier
To have your work, actions beliefs stir up great opposition
Sarcastic
Irreverent
Anti-establishment
Taking dangerous risks, “daring” death
Parkinson’s Disease
Tough, stubborn
Possible relationship to asthma & emphysema
Near Death Experiences
Rebirth, awakening in Humanities Awareness of old traditional patterns and their importance
Paradox i.e. life in death and death in life

www.astrologicaldepth.com/TNOInfo/Orcus.htm


David Cochrane:

Harmonic 13: A deep inner need to transcend one's current level of functioning. A distaste for mediocrity and a love of the exceptional and extraordinary. Enthusiasm and vision for a much higher level of achievement. Unwillingness to compromise on one's mission. Self-willed and self-motivated but able to work hard at goals that are important to the person.
avalonastrology.com/cheatsheet.pdf

Much of David's interpretation fit with the symbolism of my Moon, Uranus, and Orcus in aspect to each other. 

The 13th Harmonic themes seem to be strongly emphasized with Uranus and Orcus in the mix. 

I am not meant to go with status quo at all, and that even includes Astrology.  Of course, I prefer a Divergent Astrology.



From Spirit of Numbers by David Hamblin:

Thirteenness people are similar to Elevenness people in that they often feel themselves to be outsiders, but their to that is different. Whereas the response  of the Elevenness person is combative and aggressive, the Thirteenness person typically responds in a subtle way. He may, as we have seen, respond by running away, but may also choose to stay in society and try to make himself acceptable.

Themes of restlessness and solitariness are apparent. Men with strong Thirteenness links tend either not to marry, or else to go through a series of short-lived marriages.

Thirteenness can be seen as a reaction against Elevenness, in that the Thirteenness person is rejecting stoicism, obstinacy, and single-minded determination of Elevenness in favour of a much adventurous and risk-taking approach to life. Miracles are once again possible; life is whatever we make of it; our task is to explore the world, and through so to find ourselves.


I am both a Thirteenesss and Elevenness Person though

I have Mercury-Mars-Saturn-Uranus-Sedna 11th Harmonic Irregular Pentagon that includes an Isosceles Trapezoid and Isosceles Triangles with corresponding midpoint pictures.

[steven]

Raymond,

Beneficent kindness to you and those whom you know.

Create the 13th harmonic and when there are 13th harmonic aspects in that chart, create the 169th.

Use Cochrane's method to look for three or more planets within a 16° orb.

postimg.cc/xJy6NSFQ

For any cluster, take the midpoint definition of the outside planets, then add the planet or personal point that is between the bookend pair.

For example, the cluster of Mercury, Saturn, and North Node becomes Sat = Mer/NN

Quoting John Sandbach, Mer/Node = "A love of sharing ideas with others. Truly caring about with other people think. Others' ideas help one to refine one's own, and to be more clear about what one thinks. The search for ideas that will help one evolve."

Add Saturn: here, the as-usual definitions get changed because, in the Edgar Cayce Readings, Saturn may point to the Great Changes that can bring moksha and liberation from the entanglements of small-mindedness. Thus, "The clearing of one's mind of extraneous, unnecessary, and/or overly limiting thoughts. The development of mental clarity and simplicity. The growth of one's ability to focus one's mind."

With sincere best wishes and reverent respect,

Steven