137'30 - The Golden Mean Aspect

[whisperix]

What do you think about it?

From FB

David Cochrane made videos about The Golden Mean in Astrology.
It is something that I got interested in 9 years ago.
Theodor Landscheidt proposed that Golden Mean aspects were important in Astrology.

The Golden Mean is also known as the Golden Ratio, divine proportion, etc. The value is approximately .618 but you can also think of it as .382 (the other part of the proportion) or, as explained below, 1.618.

The Golden Mean has unique properties:
1/1.618 = .618
.618 x .618 = .382 so a Golden Mean of a Golden Mean is Golden Mean

The Golden Mean shows up in nature in many ways.
Dan Winter found that the golden ratio is part of the DNA helix.

137 1/2 degrees (137.5078) is the Golden Mean Aspect.
A Golden Mean of the Golden Mean Aspect = 137.5078 * 0.618 = 84.98 degrees.

so 2 Golden Mean Aspects
137'30
84'58

Sunflowers,pineapples,pine cones,etc. have patterns based on the golden mean aspect of 137.5 degrees.

"The botanical elements (florets, scales or bracts) are laid down at successive increments of f = 137.5...degrees during the growth of the plant.

The Golden Mean is also closely related to Fibonacci numbers. For example, the ratio of consecutive Fibonnaci numbers approaches the golden mean: 5/8 = .625, 13/21 = .619, 34/55 = .618, etc. (The Fibonnaci numbers are 1,1,2,3,5,8,13,21,34,55,89,144)

A golden mean aspect indicates that the two planets work together in a way that feels natural and instinctive. The energies of the golden mean aspect are so instinctive and natural that they are often taken for granted by the person.
recommended orb: 1 degree

A Golden Mean midpoint structure is when one planet is at the Golden Mean point between two other planets.

The person expresses the GM Midpoint Structure in a way that is natural and easy. There is an instinctive talent for expressing the energy, but the person may channel the energies of in a constructive and positive way. The person may not be motivated to pursue a path symbolized by the planets in the GM midpoint structure but rather more often uses the facility given by the golden mean midpoint structure in some other area of interest. The GM midpoint structure indicates a way of being and thinking, but not necessarily an area that the person is motivated to master. The GM Midpoint structure is deeply ingrained in the person and typically utilized in whatever interests and pursuits the person has.

Golden Mean Midpoint Structures
orb: 1 percent proportion to an orb of 2 degrees (David Cochrane suggests)

The Golden Mean in Astrology: Part 1, Golden Mean Aspects & Midpoint Structures


The Golden Mean in Astrology: Part 2, Interpreting Golden Mean Midpoint Structures


The Golden Mean in Astrology: Part 3, the Golden String


The Golden Mean in Astrology: Part 4, Uranus-Neptune, Inspirations, and Delusions


The Golden Mean in Astrology, Part 5: Golden Pyramids


The Golden Mean in Astrology, Part 6: Golden Isotraps

[lumina]

oho, a lot to listen to when I come home, and possibly to learn something new!!!! You just made my day, thank you, thank you, thank you!

(Gosh I am such a Jupiter in 3rd house - LOL)

[whisperix]

HaHa!
The credit goes to Glaucus. I listened to it and find it intriguing accurate. Personally I like the connection to the Fibonacci sequence and the nature.

Have fun and please tell me your opinion!!

[lumina]

Ah yes, Glaucus was or is a great astrologer and independent thinker. I´ve enjoyed talking astrology with him very much back in the days, but he was lightyears ahead of most people, amateurs and professionals alike. 


I`ve listened to most part of the first video, but honestly I think I am too lazy at the moment to really wrap my head around it, esp. the midpoints, as I do not have a clue how to calculate them manually and do not have any kind of astrological software except astro.com and planetdance at the moment. 

Curiously what I did notice (it just jumped out at me) is that P and me obviously have some of those golden mean of a golden mean (appr. 85° aspects), which Cochrane is not sure about that it even works. But I just had noticed before that there seemed to have been some of those wide square aspects on the 85° side of the square, and I also noticed a wide orbed 137° aspect before.


There might be more but those that I had been noticing before, but could not make a sense out of the wiiiiide orb (well if they are golden mean aspects, they are of course not at a wide orb, they are simply not really a square or sesisquare, but obviously reflecting a golden mean) were these:

my Uranus - his Venus 84°34
. this is the one that has always been puzzling the most to me - cause for my taste this is too wide for an applicable square between an outer and an inner planet, besides it is out of sign (my Uranus on 1°21 Scorpio - his Venus on 25°55 Capricorn), and above that I am not sure it really felt square-like to me. 
There was too little tension and friction there to be like a real big square, not like the typical block-heads type of squares at least. 

However I also noticed that our "history" seems to be very resonant with Uranus, and in particular Uranus-Venus, at least for the first years of occasionally bumping into each other, share some exceptional moments then go our separate ways and then bump into each other as well. 

When we first met his pVenus had just moved into a trine to my Uranus and pUranus. 

Then after a few years of absense of each others life, I happened to cross his path again, or well actually I was just attending a concert of his, from the back rows, and he decided to pick me out of the crowd to completely startle me by teasing me and focusing too much attention on me. 

At that time the progressions had shown

his my pr Venus moving into a square to his natal Uranus and right after that would move into the square to his pr Uranus, and that Venus-Uranus-square lasted until summer 2014, 
which is interesting is that the year after that we slowly started to not just bump into each other occasionally, but somehow getting into a more continual communication, though it is still marked by its stops-and-starts, but especially since last year that communication has evolved in a more gradual smoother way, with its blurbs along the way. 

Of course by now there is no Venus-Uranus-progression anymore. 

However from that summer 2014 and more strongly in 2015 on a new series of Uranus-progression started with

his pSun and pMercury and pMC squaring my natal and pUranus (my pUranus is still square his pMC as we speak, though separating I think)


at the same time in late summer 2014 my pMercury had started to receive square from HIS n and pr Uranus,,a nd since my Mercury was or is near to its stationary point, it really does not leave those degrees on 24-26 Aquarius, which means that it is still square his natal and pUranus and will do so until early 2024. 

What I find interesting about is is that 

a) it`is a Double Whammy progression Again, just taking turns of course
b) Mercury rules the DESC for both of us (and for him additionally the IC)


BTW additionally at that time in 2024, our progressed composite will have

Mars on 12 Scorpio conjunct Uranus on 13 Scorpio
trine 
Venus on 13 Pisces


Oh and curiously a Grand trine of 

Moon on 14 Libra conjunct Pluto on 15 Libra
trine 
Jupiter on 14 Gemini
trine 
Sun on 13 Aquarius

it`s so long until then though. lol


But anyway it seems very clear that those recent years were accompanied and still are by a series of Uranus-progressions, and I never really understood why, judging from the synastry, as there is only that really wide Uranus-Venus-square which apparently happens to be a golden mean aspect (or a golden mean of a golden mean. lol). 


But now using that measure I see that 
his Uranus is also widely connected to my Moon in this way!

his Uranus - my Moon: 83°42 (- maybe too much of an orb for the almost 85° aspect)

interestingly though  last year in may-august my pr Moon was square his n and p Uranus

about half a year before that his pr Moon was opposing my n and p Uranus

and let`s just say those made a lot of sense, too. down to the month these aspects were exact (once again it seems that I was uranifying him first. lol)



Apart from that other of these aspects I noticed were

his Venus - my Chiron: 84°07
his Mars - my Mars: 84°05
his mars - my ASC: 85°56
his Jupiter - my Mars: 85°01
his NN - my DESC: 84°36



Well no clue if that means something if at all, but found it interesting that the series of Uranus-progressions seem to resonate the golden mean synastric aspects with Uranus. 

Though of course we both have Venus sextile Uranus natally, which comes up in composite as well, and composite Uranus is the ruler of the composite and conjunct MC, so there is of course some relation there.

[Deleted]

whisperix, thank you for posting this. I do think this belongs in Advanced A, though. Would you be able to move it? If not, I could do it instead.

[Ava]

Thanks, whisperix !

I haven't watched the videos yet. But this solves a problem I've had...where I feel like my moon and Saturn are connected, but the evidence has been sort of stretching things.

Astro.com tells my my moon is sesquisquare to Saturn, but the orb is really too wide.

Sesquisquare is 135°...a square of 90° and a half of 45° if anyone's unfamiliar with it.

My moon and Saturn show as sesquisquare in my chart....the aspect shows as a black dotted line (same as the semisquare aspect, as you see between my Saturn and Mars):



And it shows in the aspect grid, with this glyph: 


Yet the orb is 2°35. I think that's too wide. The aspect grid says 2°35s, meaning they are separating....therefore, they are 137°35 apart (135° + 2°35). So, right within orb for a Golden Mean aspect! Hooray  

---

I say all this because I think it's the easiest way to locate Golden Mean aspects in one's chart, using astro.com: pull up the aspect grid, locate the sesquisquare glyph, see if any have 2°30 +/-  separating orb (s).

(Most of you already know this stuff and don't mean to "teach" but if someone comes across this thread, looking for a straightforward way to locate the 137°30 aspect, there it is.) 

[whisperix]

lumina

my Uranus - his Venus 84°34

That looks like a beautiful GM of GM aspect.
What  I personally find intriguing is that a square with an orb of 6* may feel like a harmonious aspect.

Well no clue if that means something if at all, but found it interesting that the series of Uranus-progressions seem to resonate the golden mean synastric aspects with Uranus.

That is an interesting input. Thank you!

[whisperix]

@astrokeen

I did not know were to post it as it is an aspect.

You, Tulipe or @ursusblack can move it to Advanced Astrology whenever you feel that it is better suited there.

BTW: There is a lot of space when I hit the "Create Post" button. Is that new?

[whisperix]

Ava

Good call on the seqsuisquare!

May I ask: How do you feel your Moon-Saturn GM aspect? Is self-discipline and self-control natural to you?

[Ava]

Jun 27, 2017 18:03:03 GMT lumina said:

I`ve listened to most part of the first video, but honestly I think I am too lazy at the moment to really wrap my head around it, esp. the midpoints, as I do not have a clue how to calculate them manually and do not have any kind of astrological software except astro.com and planetdance at the moment. 

I'm bewildered that he would skip over that information. It makes the whole series rather inaccessible. I tried following the first video all the way through, but he lost me. I suppose his intended audience is, other astrologers with his same software.

[Ava]

Jun 28, 2017 7:02:47 GMT whisperix said:

Ava

Good call on the seqsuisquare!

May I ask: How do you feel your Moon-Saturn GM aspect? Is self-discipline and self-control natural to you?

I've transcribed what Cochrane said about the aspect:

It indicates a smooth, natural flow of energy, not always necessarily good, the person just naturally flows with that energy, it's almost like your heart beating or breathing, it's so natural to that person they almost take it for granted, but not always for good...they're so naturally that way, they may not relate to other people that well.

My Leo Saturn/Pisces moon in Golden mean:

I think Leo Saturn has a tendency to self-punish whenever we let our reputations falter. We take our self-image too seriously. I know Leo Saturn people with eating disorders (a lot of that), drinking problems (cannot get over personal failure), social issues (hypersensitive to criticism). It's almost like we just throw in the towel sometimes because we can't live up to our own ideals, and we end up saying f*** it. Sometimes we just give up:




I hope it's clear what I mean there. Sia, with Leo Saturn, just stopped showing her face.

What is my particular Saturn asking for, that it finds its Golden Mean in my moon? 🤔

Obviously, a Pisces moon is well-equipped to say, "There, there it's not all so bad. You are not completely disgraced!" My moon has its own sense of oblivion....boundaries don't matter...."we are all One"....the egoic self does not matter. Life is merely an illusion after all and _________ (fill in the blank with New Age rhetoric of your choice).

So ego concerns are supported by the moon's forgiveness. But this doesn't really solve my problems. 

All I can say is that positively, I seem to have a self-healing mechanism in moon-Saturn, where emotions made sturdy by Saturn, and Saturn is made less brutish by the moon. 

Negatively, maybe creativity is stifled with this, where it doesn't always occur to me to invent something new, or to break out of a rut and consider another way of pursuing happiness, because my emotions settle into these comforting but repetitive routines. 

But I am really grasping at straws; I've learned hardly anything about the aspect yet...

[glaucus]

I find Golden Section aspects fascinating.

I really like David Cochrane's take on them.
He helped me to understand them.


In my own chart:


Moon 137'30 Uranus - '22
Moon 84'58 Jupiter - '08
Mars 84'58 Neptune - '33
Jupiter 84'58 Asc - '04

[FruityLlama]

Do I calculate my sesquisquares using the 8th harmonic?
This is really interesting but I'm too thick to take it all in at once. it'll take a while before I'm on the same page as everyone else here haha

EDIT: If so, then my sesquisquares are:
-a wide one between Mercury and Venus at 5 deg. separating
-Moon-Chiron 6 deg. applying
-Saturn- NN and Chiron. Again wide at 5 and 7 degrees though and separating

I don't suppose I have much in the way of Golden ratios or anything haha!!

[glaucus]

In my Astrological Nativity:

In Sidereal Zodiac

Sun/Mercury in 17'29 Libra (11'50 Scorpio in Tropical)
Jupiter/Uranus in 17'26 Libra (11'47 Scorpio in Tropical)
I have these midpoints in conjunction.

Two Midpoints in conjunction or opposition is what David Cochrane refers to as an Isosceles Trapezoid
Iso-Trap for short
An Iso-Trap is a life-building structure. It has a double-resonance. It is impossible to have a single resonance. As soon as there is one resonance (two pairs of planets having the same angle), there are automatically two resonances.
An IsoTrap is an extremely powerful harmonic pattern and is very important in astrological interpretation!



ISOSCELES TRAPEZOID:

An isosceles trapezoid is a four-sided figure which has two opposite sides of the same length, and the shape is vertically symmetrical. Note that an isosceles trapezoid is similar to a parllelogram, but has very different properties from a parallelogram. A parallelogram has 4 parallel sides and does not have symmetry, except in the case of a rectangle. A rectangle is simultaneously a parallelogram and an isosceles trapezoid.

One can view the double pairs of angles in an isosceles trapezoid as a huge resonance; from the viewpoint of wave theory, then, there is as a double-resonance, which in turn creates a huge astrological resonance. One can argue that this double resonance, from the standpoint of wave theory (or harmonic astrology, which is founded on the concept of waves), is far more powerful than the usual application of wave theory to support the concept of minor aspects.

The isosceles trapezoid is an elegant concept that integrates many seemingly disparate astrological concepts, such as midpoints, antiscia and solstice points, Jonas birth control, Vedic tithi returns, the traditional aspect patterns of grand trines, grand crosses, mystic rectangles, and yods, and even the very popular composite chart that was introduced in the 20th century. The isosceles trapezoid was identified by the founder of the Hamburg school of astrology Alfred Witte. Witte referred to isosceles trapezoids as planetary pictures. Rather than find the fourth point that makes an isosceles trapezoid (an Arabic Part), Witte interpreted isosceles trapezoids that occur in the chart. He did not, to my knowledge, emphasize the geometric shape or the fact that planetary pictures and Arabic Parts are mathematically identical; he was more intrigued by the symmetry that planetary pictures have. Symmetry is always created when there is planetary resonance, so Witte is correct; whether one prefers to focus on the symmetry or the resonance, one is actually identifying the same phenomenon. Planetary resonance is based on wave theory, which allows an even wider number of astrological influences to be integrated into a single conceptual framework.

An isosceles trapezoid mathematically is simply a midpoint conjunct or opposition a midpoint, and a list of midpoints conjunct and opposition midpoints is a good way to view them. My observations indicate that an orb of only about 1/2 degree is used for aspects to Arabic Parts and for midpoints conjunct midpoints, so I look at them up to about a 1 degree orb but pay close attention to only those configurations that are within about 30 minutes orb. Evidently the planetary resonance occurs only when the angular distances are nearly identical.
astrosoftware.com/ArabicParts.htm

Distance between Mercury and Jupiter - 19'56
Distance between Uranus and Sun - 20'02
Distance between Sun and Jupiter - 32'56
Distance between Uranus and Mercury - 33'02

Astrologically, what makes an Isotrap very powerful, not only is the Uranus-Sun angle the same as the Mercury- Jupiter angle by definition that's what makes it an isotrap, but the Uranus-Mercury angle is the same as the Sun-Jupiter angle so it's this powerful force of nature that whenever to planets have this resonance between them (resonance created by the angular distance being the same), there's another resonance. You always get a double resonance.

My Isotrap is made up of two Golden Mean midpoint structures, and so I have a Silver Isotrap.


The distances that I listed are actually aspects.

Mercury seminovile Jupiter - '03
Sun seminovile Uranus - '02
Sun undecile Jupiter - '12
Mercury undecile Uranus - '19

Seminovile is 20'00 aspect, and it is 18th harmonic aspect. It is half a novile. It will appear as a conjunction in the 18th harmonic chart and an opposition in the 9th harmonic chart.

Undecile is 32'43 aspect, and it is 11th harmonic aspect. It will appear as a conjunction in the 11th harmonic chart.



Sun at the Golden Mean point of Jupiter and Uranus - .37
Mercury at the Golden Mean point of Jupiter and Uranus - .57

The orb is 1 percent based on proportion of angle.

Sirius Astrology software:
Suppose that "Proportion of angle" is selected with an orb of 1 percent. In the example given above of two planets separated by 30 degrees, the orb at the points along the shorter angle of 30 degrees is only 18 minutes while the orb along the larger angle of 330 degrees is 3 deg 18 min. Proportionate orbs ensure that the focal planet is relatively close to the golden ratio point regardless of how large the angular distance is between the two other planets. If "Same for all" is selected, then all golden ratio midpoint structures have the same allowable orb. If proportionate orbs are selected, then the orb is displayed as the percent from exact, where a value .00 indicates an exact golden ratio midpoint structure and a value of 1.00 indicates a golden ratio midpoint structure that has the maximum allowable orb.

Jupiter at the golden mean point of Moon and Uranus - .23
Moon in golden mean aspect (137'30) Uranus - '22
Moon in golden mean of golden mean aspect (84'58) Jupiter - '08

I drew in blue lines to show Sun at the GM point of Jupiter and Uranus.
I drew in green lines to show Mercury at the GM point of Jupiter and Uranus.
There is a yellow line to show Moon and Uranus in GM aspect.
I drew in red lines to show Jupiter at the GM point of Moon and Uranus.





A golden mean aspect indicates that the two planets work together in a way that feels natural and instinctive. The energies of the golden mean aspect are so instinctive and natural that they are often taken for granted by the person.

The person expresses the GM Midpoint Structure in a way that is natural and easy. There is an instinctive talent for expressing the energy, but the person may channel the energies in a constructive way and positive way or a destructive and negative way. The person may not be motivated to pursue a path symbolized by the planets in the GM structure but rather more often use the facility given by the golden mean midpoint structure in some other area of interest. The GM midpoint structure indicates a way of being and a way of thinking, but not necessarily an area that person is motivated to master. The GM midpoint structure is deeply ingrained in the person and typically utilized in whatever interests and pursuits the person has.