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Donald Bradley
View our Donald Bradley pages
View our Donald Bradley pages
Donald Bradley is famous for creating the Siderograph model of market action, and he wrote other astrological books which we publish in our Collected Works of Donald Bradley. His Siderograph Model is famous for providing an almost perfect model of market action over the year. Our course has 100 years of Siderograph models (1950-2050).
Dewey's Cycle Analysis
How To Make a Cycle Analysis - By Edward Dewey
How To Make a Cycle Analysis - By Edward Dewey
How to Make a Cycle Analysis. By Edward R. Dewey. Written in 1955 as a correspondence course, this how-to manual provides step-by-step instructions on all elements of cycle analysis, including how to identify, measure, isolate and evaluate cycles. The most detailed cycle course ever written, by the founder of the Foundation For The Study of Cycles.
Baumring Financial List
Baumring Financial List
Baumring Financial List
Dr. Baumring compiled long reading lists even more comprehensive than Gann's, comprising works having key elements directly applicable to Gann Theory and Cosmological Economics. Any student wanting to explore particular fields in depth will find Baumring’s lists to be indispensable, since they over important but unfamiliar topics.
Anthroposophical Science
Anthroposophical Science
Anthroposophical Science
Rudolf Steiner, founder of the Waldorf Schools, developed Anthroposophy, a science based on psychic perception of hidden elements in nature and reality. Olive Whicher and George Adams extended projective geometry into a study of spiritual to material spaces. Students of Gann find invaluable insights into Steiner's system, as taught by Dr. Baumring.
Mayan
Mayan
Mayan
The Mayans are one of the most intriguing mysterious civilizations. With 19 calendar systems, and time cycles calculated back 4 Billion years, their knowledge of time cycles exceeds any civilization on Earth, including our own. They had wisdom of psychedelics and human energies, used to access higher realms of consciousness, parallel to India's similar systems.
The Canon
The Canon
The Canon
The Canon refers primarily to an ancient esoteric system of knowledge and cosmology encoded into temples, artifacts, art and monuments. The Egyptians had a specific Canon to lay out the grids upon which they designed their art, and there are also canons of proportion used in the Renaissance, as well as by later artists, geometers and musicians.
Robert Rundle
View our Robert Rundle pages
View our Robert Rundle pages
Magic Words Thru the Zodiac cracks the complex symbolic code that W. D. Gann used within "The Tunnel Thru the Air". It unveils a Masonic Gematria cypher which serves to decrypt references and clues concealed in names, dates and other key words thru the text. These conversions are used to determine anchor points for important market cycles.
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History’s most intriguing financial analyst, forecaster and trader, W. D. Gann produced a 10,000% return with a 93% success rate in an audited 1909 interview. Gann said his market theory was based upon the Law of Vibration, leading scholars and analysts on a 100 year intellectual quest deep into  theoretical physics, alternative science and esoteric philosophy, seeking to understand a cosmological ordering system linking the financial markets to the influences of natural science.
Our most popular author, Dan Ferrera is a master of making complicated ideas easy to apply. His 9 courses present KEY elements of Gann Theory & Technical Analysis including Time Cycles, the Square of 9, Periodicity, Price Structure, Swing Trading and Risk Management, providing advanced tools for the average trader. His popular Yearly Outlook provides a fascinating and accurate analysis of market action.

Dr. Lorrie Bennett is one of the only Gann experts to have cracked the Law of Vibration! After 20 years of grueling research she discovered a complex code in Gann's texts which led her to the full solution. Following in Baumring's footsteps, Dr. Bennett lays out the science behind the Law of Vibration in an intensive 4 Volume Advanced Series revealing the Patterns, Numbers, Planets & Geometry behind Gann's secret trading system.

Dr. Baumring is the only known person to have fully cracked W. D. Gann’s full Cosmological System! He reproduced Gann’s results, forecasting markets within 3 minutes of turning points. He extended Gann’s Law of Vibration into DNA Coding, Chaos Theory, & Topology, creating multi-dimensional, mathematical models of the markets, proving them to be a fully Deterministic System. The deepest Gann research sourcework ever compiled.

Cutting edge Space & Solar Researchers, Muriel & Louis Hasbrouck’s Space/Time Forecasting techniques are STILL more advanced than those of NASA or the current scientific community. The Hasbroucks produced 50 years of Market Forecasts with a 90% accuracy rate and were able to forecast Space Weather, Earthquakes & Geomagnetic Storms. Their advanced techniques develop a new Theory of Space Time Field Forces & Influence.

Sean Erikson, a trader and fund manager with 25 years’ experience, provides a set of powerful astro-tools for advanced swing trading based upon celestial mechanics. The key tool uses an astronomical component which consistently and beautifully predicts the angle of attack or slope of a forthcoming trend. This is combined with a simple astro-timing tool which indicates the next 1-3 turns out and a geometrical price projection tool which provides the two most probable price projections for each move.

The solution to Gann's Law of Vibration from the 1909 Ticker Interview. Penicka analyzes Gann’s exact words correlating them with the cutting edge science of Gann’s day to develop a system which identifies the “mathematical points of force” behind all market action. The Periodic Table of Elements determines a system of order based upon atomic structure which generates a master number set for each market defining its structure in price and time.
A Cambridge scholar who, intrigued by the challenge of Gann’s esoteric work created a powerful set of technical tools based upon principles of Ancient Geometry, Celestial Mechanics, and Pythagorean Harmonics, which project Price, Time & Trend with exact precision. His 2nd course applies the Secrets of Ancient Astrology to forecast market turns & trends more accurately than the best works on Financial Astrology preceding it.

A penetrating researcher after Baumring’s lead into the core of Gann’s Cosmological System thru cracking Gann’s Squaring of Price & Time. Quantifies the mechanics of Gann’s innermost system demonstrating how markets move in multi-dimensional Space/Time. Includes new and sophisticated trading algorithms which generate 4000% annualized returns, mathematically proving the markets to be an Absolute Deterministic System.

Prandelli's work is very popular with swing traders due to the usefulness of his Gann tools which project Key Price Levels and Cyclical Turning Points. His courses present practical tools using Gann’s Planetary Longitude Lines and Master Time Cycle which combine with his KEY Risk Management & Trading Strategies to produce10-15% monthly returns consistently. His Yearly Forecast Bulletin provides his ongoing trading signals & strategy.

A profit generating Trading Strategy using Gann's best approach of Leveraged Position Trading to produce large profits from small capital using a powerful secret Options Strategy that maximizes profits through high leverage while greatly limiting risk exposure. Based upon Gann’s book, Profits In Commodities and the author's 20 years experience in Gann research and trading, this method is excellent for busy people with small capital.

A New Discovery of a Mathematical Pattern in the Gold Market which forecasts Gold's turns with an 85-95% accuracy over 40 years backtesting. A Scientific Proof of a Cyclical Pattern in the Gold Market which provides a 100 Year Forecast of Gold’s Major Tops & Bottoms and Bull & Bear Market Campaigns out to 2100. This insight will provide you with a series of highly profitable trades for the rest of your life!
 

W.D. Gann Works
W.D. Gann Works
W.D. Gann Works
We stock the complete collection of the works of W.D. Gann. His private courses represent the most important of his writings, going into much greater detail than the public book series. Our 6 Volume set of Gann's Collected Writings includes supplementary rare source materials, and is the most reliable compliation of Gann's unadulterated vital work.
Dr. Jerome Baumring
Dr. Jerome Baumring
Dr. Jerome Baumring
The work of Dr. Baumring is the core inspiration upon which this entire website is based. Baumring is the only known modern person to have cracked the code behind WD Gann’s system of trading and market order. Baumring found and elaborated the system of scientific cosmology at the root of Gann’s Law of Vibration. There is no other Gann teaching that gets close to the depth of Baumring’s work.

Hans Kayser's Textbook of Harmonics - Excerpts §27. Parabola, Hyperbola, Ellipse

By Hans Kayser

Kayser’s harmonic research provides profound insights into W. D. Gann’s Law of Vibration and the function of parabolic and hyperbolic growth in space as described by Dr. Jerome Baumring.

Introduction

Hans Kayser’s work presents a masterful elaboration of the system of harmonics and vibration, looking at it from the standpoint of a universal system on order which applies from mathematics to geometry to astronomy and even to subjects such as the financial markets. Our clientele is deeply involved in the theory of the Law of Vibration developed by W. D. Gann, and this section will demonstrate to traders the valuable applications to Gann theory and analysis which Kayser’s work brings. Subjects like the parabolic and hyperbolic and elliptical growth in the markets and the use of ellipses and harmonic relationships between impulse waves and reactions through key lines, like the angles on Gann’s geometrical market charts can be seen in the Gann like diagrams below.

Let us imagine two tone-generating points surrounded by circles of equidistant waves. At some point, depending on the distance between the points, these circles of waves will intersect. In reality, of course, they will always be spheres, but projection on a plane is sufficient to discover the laws by which these intersection points occur. One must then simply imagine the relevant figures transposed into the spatial realm, turning an ellipse into an ellipsoid, a parabola into a paraboloid, and a hyperbola into a hyperboloid.

If we connect the intersection points of the two groups of concentric circles, we will trace out ellipses or hyperbolas (Fig. 167), depending in which direction we proceed. Since Fig. 167 is very easy to draw, the reader can derive the formula of the ellipse (Fig. 167a) and the hyperbola (Fig. 167b) by counting off the radii that generate the respective intersection points. This shows that the ellipse traces all the points for which the sum of their distance from A and their distance from B is equal, while the hyperbola traces all the points for which the distance from A minus the distance from B is equal.

Figure 167a
Figure 167a

Figure 167b
Figure 167b

Figure 168
Figure 168

We have thus achieved the derivation of the ellipse and the hyperbola through the intersection of two fundamental phenomena of general vibration theory: the two wave-spheres.

We can read off the parabola directly from our diagram (Fig. 168). Its ratios are:

      Major      
0/2 1/1 (0/0)        
0/3 2/2 2/1 (0/0)      
0/4 3/3 4/2 3/1 (0/0)    
0/5 4/4 6/3 6/2 4/1 (0/0)  
0/6 5/5 8/4 9/3 8/2 5/1 (0/0)
  c c g c′′ e′′ etc.
      Minor      
2/0 1/1 (0/0)        
3/0 2/2 1/2 (0/0)      
4/0 3/3 2/4 1/3 (0/0)    
5/0 4/4 3/6 2/6 1/4 (0/0)  
6/0 5/5 4/8 3/9 2/8 1/5 (0/0)
  c c, f,, c,, as,,, etc.
             

Figure 168

 Here is the proof that they are parabolas: the familiar parabola equation x2 = 2px changes into y2 = x for a parabola whose parameter is 1/2, i.e. the y-coordinates (perpendicular lines) are equal to the square roots of the corresponding x-coordinates (parallel lines). For the parabola 0/6 5/5 8/4 9/3 8/2 5/1 0/0 in Fig. 168, 5/1 is the perpendicular line 2 units away from the point 5/3 on the x-axis, and the length of the x-line 9/3-5/3 contains 4 units. The y-value 2, then, is the square root of the x-value 4. The x-value 0/3-9/3 has 9 units as its axis, the corresponding y-value 9/0-9/3 = 3 units. √9 = 3, etc. The apexes of these parabolas generate further parabolas. We obtain a beautiful image of these parabolas (Fig. 170) from their fourfold combination, anticipating what will be further discussed in §32.

The hyperbola also has a simple and interesting harmonic derivation. If we draw the partial-tone-values of its string-length measures perpendicularly (Fig. 171) and turn them sideways, always using unity as a measure, then we get perfect rectangles, identical in area to the unit-square. Connecting the corners then produces a hyperbola, whose equation is a2 = xy, as is generally known. In our case, this means that

1/1 · 1/1  
}
 
1/2 · 2/1 = 1
1/3 · 3/1  
etc.    

 

Figure 170
Figure 170

 

Figure 171
Figure 171

Figure 172
Figure 172

As we saw above, the hyperbola is the geometric location for all points for which the difference between the x- and y-coordinates is the same. Thus we can also explain their “harmonics,” as in Fig. 172.

The hyperbola, drawn in points, continuing endlessly in both the x- and y-directions, indicates that from any point placed on it, a rectangle of consistently equal area can be introduced between the curve and the axes A B C. If d – B = 1, then we have:

for: length: height: therefore, the quadrilateral’s area:
a2 1/4 4/1 1/4 · 4/1 = 1
b2 1/2 2/1 1/2 · 2/1 = 1
c2 3/4 4/3 3/4 · 4/3 = 1
d2 1 1 1 · 1 = 1
e2 4/3 3/4 4/3 · 3/4 = 1
f2 2/1 1/2 2/1 · 1/2 = 1
g2 4/1 1/4 4/1 · 1/4 = 1

Figure 173

The law of hyperbola construction therefore shows us an increasing arithmetic series (1/n 2/n 3/n 4/n ...) and a decreasing geometric series (harmonic n/1 n/2 n/3 ...)—a precise analogy to the intersecting major-minor series of our diagram.

And if we consider, moreover, that the ellipse is the geometric location for all points for which the sum of two distances has an unchanging value, then it is easy enough to construct the ellipse harmonically with reciprocal partial-tone logarithms, since their sum is always 1—for example, 585 g (3/2) + 415 f (2/3) = 1000. In Fig. 174, this tone-pair is drawn with a thick line and marked for clarification. We mark two focal points 8 cm apart (Fig. 174) for the construction of the ellipse, draw one circle around one focal point at radius 5.9 cm (585 g) and one around the other at radius 4.1 cm (415 f), then trace the intersection points of each pair of rays, up to the point where the two shorter f-rays intersect with the circumference of a small circle drawn around the center of the ellipse, and the two longer g-rays intersect with the circumference of a larger circle drawn around the center of the ellipse. These two outer circles, whose radii are of arbitrarily length, serve simply to intercept the vectors (directions) of the single tone-values and to distinguish them clearly from one another. All other points of the ellipse are constructed in the same way. The tone-logarithms here were simply chosen in order for the construction of the ellipse points to be as uniform as possible. If the reader has a good set of drawing instruments, then he can use all of index 16 for point-construction—a beautiful and extremely interesting project. In this case it would be best to use focal points 16 cm apart, and to double the logarithmic numbers.

Figure 174
Figure 174

Even if this construction of an ellipse from the equal sums of focal-point rays is nothing new and can be found in every elementary textbook, its construction from the reciprocal P-logarithms still gives us an important new realization. As one can see from the opposing direction of rays in the ratio progression of the outer and inner circles, the tones are arranged here in each pair of octave-reduced semicircles, and thus the directions of the ratios of the two circles are opposite to each other. From the viewpoint of akróasis, then, there are two polar directions of values concealed in the ellipse: a result that might alone justify harmonic analysis as a new addition to a deeper grasp of the nature of the ellipse.

Parabola, hyperbola, ellipse, and circle (in §33 we will discuss the harmonics of circular arrangements of the P) are of course conic sections, i.e. all these figures can be produced from certain sections of a cone, or of two cones tangent at their apexes. The above harmonic analyses, of which many more could be given, show that these conic sections are closely linked to the laws of tone-development, which supports the significance of the cone as a morphological prototype for our point of view. In pure mathematics, this significance has been known since Apollonius, renewed by Pascal, and discussed in De la Hire’s famous work Sectiones Conicae, 1585 (the reader should definitely seek out a copy of this beautiful volume at a library), right up to modern analytical and projective geometry. For those interested in geometric things and viewpoints, hardly anything is more wonderful than seeing the figures of these conic sections emerge from an almost arbitrary projection of points and lines, aided only by a ruler. For a practical introduction see also L. Locher-Ernst’s work, cited in §24c.

§27a. Ektypics

Mathematically speaking, ellipses, parabolas, and hyperbolas can be defined as the geometric location of all points for which the distance from a fixed point (the focal point) is in a constant relationship to the distance from a fixed straight line (the directrix). On this rest the projective qualities of conic sections and the possibility of constructing them by means of simple straight lines (the ruler).

In detail, as remarked above, these “curves of two straight lines” have many more specific harmonic attributes—for example, the octave relationship (1 : 2) of the areas of a rectangle divided by a parabola, the graphic representation of harmonic divisions in the form of hyperbolas, etc. One obtains the “natural logarithm” when one applies the surface-content enclosed by the hyperbola between the two coordinates (F. Klein: Elementarmathematik vom höheren Standpunkt aus, 1924, p. 161); thus, a close relationship also exists between the conic sections and the nature of the logarithm. The applications of the laws of the conic section are many, especially in the exact natural sciences. I will mention only the Boyle-Marriott Law, which connects the respective number-values of pressure and volume, and in which the hyperbola emerges as a graphic expression (and thus the pressure : volume ratio of the reciprocal partial-tone values 4 : 1/4, 2 : 1/2, 1 : 1, 1/2 : 2, etc. are expressed most beautifully). I am also reminded of the “parabolic” casting curves in mechanics, the properties of focal points, parabolas in optics, the countless “asymptotic” relationships, etc. Admittedly, these applications are mostly obscured by differential and integral calculus, though doubtless simplified mathematically—in other words, the morphological content of conic sections is outwardly diminished in favor of a practical calculation method, but remains the same in content.

Figure 175a
Figure 175a

Figure 175b
Figure 175b

Because of this, it is not astonishing when a figure such as a cone, from which all these laws flow as from the source of an almost inexhaustible spring of forms, is applied emblematically even in the most recent deliberations of natural philosophy, as a direct prototype for the “layers of the world” and for our “causal structure.” In Figures 175a and b I reproduce the diagrams from H. Weyl: Philosophie der Mathematik und Naturwissenschaft, 1927, pp. 65 and 71, which speak for themselves.

§27b. Bibliography

Thimus: Harmonikale Symbolik des Alterthums, 4th part. H. Kayser: Hörende Mensch, 65, 66, 126, and familiar geometry textbooks.

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