Back in 2008, there was a post by Glaucus on LL that talked about Fibonacci or Golden Section Yods. This should not be confused with the quintile/biquintile Golden Yod which is also highly significant in both Astrology and Sacred Geometry. To avoid confusion, I will refer to the Yods that I am talking about here as Fibonacci yods. They were first put forward by Dr. Theodor Landscheidt and are based on golden section aspects that seem to work – the basic Fibonacci Aspects he proposed are :
21.25°, 42.49°, 47.51°, 68.75°, 111.25°, 132.49°, 137.51° and 158.75°,34.38°, 55.62°, 124.38° and 145.62°. http://bourabai.narod.ru/landscheidt/consider.htm
the orbs should only be 1 degree.
After ploughing through his highly technical gobbledegook, I have tried to get a grip on what it could mean astrologically in simple terms.
Landscheidt proposes (and provides mathematical theory) that the stability of planetary paths hinges on fivefold symmetry which is traditionally thought to only apply to the realm of biology (living things). This contributes mathematical evidence to the theory that planetary bodies are alive. Non-biological forms like crystals never show five fold symmetry, it’s always two, three, four or six. After years of having his theories ignored, solar physicists from the American Astronomical Society are now giving support to Landscheit’s theories too . http://tallbloke.wordpress.com/2011/06/14/solar-physicists-finally-get-the-message-landscheidt-was-right-after-all/
What this seems to mean to us is that Fibonacci’s golden ratio aka the irrational number PHI 0.618 OR 0.382 rounded off(which is phi in the opposite phase 1-0.618) is a ratio that can be applied to planetary dynamics in astrology. The golden aspects are worked out by multiplying the 360 degree by 0.618 or 0.382 and then applying the result to the angles of the horoscope. i.e. 0 + (360*0.382) = 137.51 deg; 90+(360*0)= 227.51 deg (actually 132.49 deg as we don’t use aspects over 180 deg but rather go counterclockwise and minus from 360). Etc.
Using these calculations you will find all the “golden aspects” stated above which correspond to the Fibonacci golden ratio in astrological terms.
Now, if you take the logic that the Fibonacci sequence describes a universal pattern of continuous balanced development which occurs throughout nature in the branching of trees, the shape of seashells, horns of rams, arrangements of petals, etc – then you may accept that a Fibonacci or “golden aspect” represents harmony with the fundamental expression of universal (or divine) law, the spiralling currents of which weave the fabric of creation.
In astrology, these aspects seem to be significant when they form closed geometric configuration – especially a Fibonacci Yod – ie. Where three Fibonacci Golden Ratio Aspects form an isosceles triangle with a less than 1 deg orb. (the sum of the three aspect angles adds up to 360 deg). It would seem to indicate that these three planets, when combined, have the capacity to harmonize in accordance with divine law.
There is an example in my chart of a Yod using Fibonacci Aspects which involves Jupiter, Moon and Pluto – two 145.62 aspects closed by one 68.75. As in all yods, it is the apex planet (in this case Jupiter in Aries in the 12th house) that is the focal planet, to and from which inspiration flows, after drawing in the support of the two base planets. Also there are some other closed configurations (scalene and trapezoid looking things)using Golden Ratio aspects only but I have no idea what they mean, except they makes a pretty geometric pattern. I have blocked visibility to the planets that are not involved in this particular piece of planetary geometary, so that it stands out better.