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.
Sepharial Horse Racing
Sepharial's Private Horse Racing Arcana are the most important of his astrological prognostication systems, sold only by private subscription. The Master Key. The Golden Key. The Eclipse System. The Solar Lunar Values. The Solar Apex Method. Sepharial's Form Guide. Sepharial's Tidal Law. Sepharial's Solar Apex.
Not everyone has the skill, experience or desire to make forecasts of market phenomena, so they turn to experts who provide information to help anticipate market trends.
Our top analysts provide forecasts or reports for different markets to help traders understand market action and get educational guidance with trading or investments.
Speculation is the trading of market positions for the sole purpose to make money.
It is a secondary industry from general investing in stocks or trading in commodities where individuals buy and sell with no fundamental interest in the underlying market.
We publish many works using this term, like Gannís "Speculation a Profitable Profession".
Hans Kayser was a leading 20th century scientist who made a deep mathematical, geometric and philosophical study of the Science of Harmonics.
Available from our Translation Society, his books explore the deepest principles of Pythagorean Harmony and Order, giving critical insights into Gann Theory and The Law of Vibration.
Baumring Science List
In the 1980ís Dr. Jerome Baumring, created an advanced course on the scientific cosmological system behind Gannís Law of Vibration, including over 100 important works.
These ranged from core works that Gann himself studied relating to Natural Science and Philosophy, to valuable works in alternative or lesser known scientific traditions.
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.
A system of order based on atomic data generates master numbers for each market structure.
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
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 Gannís system of trading and market order.
Baumring found and elaborated the system of scientific cosmology at the root of Gannís Law of Vibration.
There is no other Gann teaching that gets close to the depth of Baumringís work.
Sample Texts - The Law Of The Cosmos The Divine Harmony According to Plato’s Republic – Timaeus: The Platonic Riddle of Numbers Newly Solved and Illustrated
A Translation Society Edition
by Eberhard Wortmann
Only with reluctance does the Author bring to public light the results of a 9-year search for the solution to the Platonic number riddles. He is aware that, not being an expert in this field, he is in an awkward position from the viewpoint of the orthodox sciences. So many people, specialists and laymen alike, have fantasized about these number riddles, that nowadays any dealing with this material is often dismissed with a shrug. The Author would never have attained the results that follow if he had wasted his time studying authoritative sources and allowing them to lead him down the wrong path, especially (for reasons that will become obvious later) because in the literature at our disposal, anything that could have facilitated the task of solution had been completely destroyed. The only practicable method was that of logical thought, applying mathematical and especially geometric formulae, most of which had to be rediscovered first. Only after the preliminary completion of the solution did the Author find corroborations and references useful for the clarification of the remaining mysterious points in authoritative publications, especially those of the church fathers.
Nevertheless, the Author would never have succeeded in achieving these results had he not been constantly led forward, step by step, in a way incomprehensible to him. He remembers certain decisive turning points at which, almost without his participation, he was guided around obstacles which would otherwise have led him to fail miserably.
The Author is far from being above receiving suggestions for improvements —the better is the enemy of the good here as well— because hardly a week passes by without the necessity for major or minor changes. However, it is assumed that one observes those rules of the game which are known indisputably to be valid. Here it should be mentioned that the Platonic number riddles are really games, logical games of thought, “glass bead games,” as the great writer and great man Hermann Hesse calls this kind of mental occupation. May this publication bring to wider circles something of that which made the Author enjoy his task so greatly: revelation by means of number, and thereby the certainty of the existence of the divine!
- Eberhard Wortmann
The Master [Socrates] passed on the flame of Prometheus. In Plato it grew to gigantic brightness. – Frank Thiess, Das Reich der Dämonen
Jesus & Plato
Jesus has not eaten from the tree of knowledge. He who has done that will not have peace within himself. He will strive onward, he needs the mediator to the divine, Eros. Jesus is not qualified to be such a mediator, because he does not know this longing. He cannot replace Plato. – Ulrich von Wilamowitz-Moellendorf, Der Glaube der Hellenen
Plato & Geometry
This was the state of affairs when Plato came into Sicily ... There was a general passion for reasoning and philosophy, insomuch that the very palace, it is reported, was filled with dust by the concourse of the students in mathematics who were working their problems there. [Geometric figures were drawn in the dust.] – Plutarch, Dion.1
The Annihilation of Ancient Authoritative Works
...But those works were thought devoid of interest or even dangerous by the devout Middle Ages, and they are not likely to have survived the fall of paganism. –Franz Cumont, The Oriental Religions in Roman Paganism.2
The Platonic Riddles of Numbers are Glass Bead Games
In the end it depends on the choice of the historian how far back he wants to put the beginning and prehistory of the Glass Bead Game ... As an idea we find it ... already performed in earlier ages, e.g. by Pythagoras. ... The same eternal Idea was the basis of every movement of the mind towards the ideal goal of a Universitas Litterarum, of every Platonic Academy, of any congregation of a spiritual elite, every attempt to approximate the exact and the free sciences, every attempt to reconcile science with art, and to reconcile art or science with religion. – Herman Hesse, The Glass Bead Game.3
Thanks to the glass bead game player! – Herman Hesse, to the Author.
The work of solution began with the riddle in the Republic. At an advanced age, the Author came across Plato’s Republic—known as Der Staat in the German-speaking world, Politeia in the original Greek. In reading it, he got only as far as the number riddle in book VIII, and then did not rest until he had found the solution. Since he had just “coincidentally” been studying the right triangle with sides of ratio 3 : 4 : 5, the so-called “Egyptian triangle”—an astonishing entity, if one considers that any flat surface can be divided into isosceles triangles, and these further divided into right triangles, of which the smallest is the Egyptian triangle, which also has numerous unique features—he immediately saw that the solution was within reach, since the text of the riddle makes it quite clear that it concerns a pyramid. Only after the final solution, taking into account all the subtleties—which took him a year—did the Author realize the great importance of the solution and hear of a well-endowed competition, which had caused a great stir at the time and which, despite lively participation, had not brought about a solution satisfactory to all sides.
The resulting disenchantment caused interest in the solution of the riddle to fade. Many people even became convinced that there was no solution. Plato, they said, only wanted to make people interested in him, by virtue of his supposedly possessing a secret formula for running a state, so that he would be remembered favorably and recommended for high office. But in fact, Plato had already given up his political ambitions at that time. He “squatted in the corner with a few youths,” as his opponents said, and devoted himself exclusively to the task of setting up an ideal that could never be realized and is therefore eternally valid, the Ideal State, the first of many such utopias.
One will see that this riddle concerns ancient thoughts, and that every detail, even the smallest, emerges of itself.
The Riddle of Numbers in the Republic
A city which is thus constituted can hardly be shaken; but, seeing that everything which has a beginning has also an end, even a constitution such as yours will not last for ever, but will in time be dissolved. And this is the dissolution:—In plants that grow in the earth, as well as in animals that move on the earth's surface, fertility and sterility of soul and body occur when the circumferences of the circles of each are completed, which in short-lived existences pass over a short space, and in long-lived ones over a long space. But to the knowledge of human fecundity and sterility all the wisdom and education of your rulers will not attain; the laws which regulate them will not be discovered by an intelligence which is alloyed with sense, but will escape them, and they will bring children into the world when they ought not.
Now that which is of divine birth has a period which is contained in a perfect number, but the period of human birth is comprehended in a number in which first increments by involution and evolution (or squared and cubed) obtaining three intervals and four terms of like and unlike, waxing and waning numbers, make all the terms commensurable and agreeable to one another. The base of these (3) with a third added (4) when combined with five (20) and raised to the third power furnishes two harmonies; the first a square which is a hundred times as great (400 = 4 × 100), and the other a figure having one side equal to the former, but oblong, consisting of a hundred numbers squared upon rational diameters of a square (i.e. omitting fractions), the side of which is five (7 × 7 = 49 × 100 = 4900), each of them being less by one (than the perfect square which includes the fractions, sc. 50) or less by two perfect squares of irrational diameters (of a square the side of which is five = 50 + 50 = 100); and a hundred cubes of three (27 × 100 = 2700 + 4900 + 400 = 8000).
Now this number represents a geometrical figure which has control over the good and evil of births. For when your guardians are ignorant of the law of births, and unite bride and bridegroom out of season, the children will not be goodly or fortunate ... In the succeeding generation rulers will be appointed who have lost the guardian power of testing the metal of your different races, which, like Hesiod's, are of gold and silver and brass and iron.
– Plato, Republic VIII, 546
The Solution of the Republic Riddle
The perfect number: was six in ancient times, because 1 + 2 + 3 = 6 and 1 × 2 × 3 = 6.
The number for human births: “in which first increments,” “3 intervals” = 3 number values, “4 terms” = 4 powers, “combined” = multiplication, the 1st power is not a multiplication.
1, 2, and 3: not possible, because with the 1, no multiplication can be performed.
2, 3, and 4: not possible, because 2 = √4, 4 = 22
3, 4, and 5 are the first numbers that meet the requirements mentioned once in the text.
3 × 4 × 5 = 601
× × ×
3 × 4 × 5 = 602 (= 3600) 1st multiplication
× × ×
3 × 4 × 5 = 603 (= 216000) 2nd multiplication
× × ×
3 × 4 × 5 = 604 (= 12960000) 3rd multiplication, the Platonic number
The first proportion: “a square which is a hundred times as great” = the Proportion of Time.
√(12960000/100) = √129600 = 360. The circle has been divided into 360° ever since the time of the ancient Sumerians.
1st “circle rotation”: the day-circle, 1° = 4 minutes. 2nd “circle rotation”: the year-circle, 1° = (ca.) 1 day. 3rd: 100 years.
The “marriage number”: 60 × 4 minutes = 4 hours – the 4th hour of the morning is the most auspicious time for begetting. 60 × 4 hours = 10 days – the 10th day after beginning of menstruation is the best time for conception. 60 × 10 days = 20 months – 20 months after one birth is the earliest time for the next birth. 60 × 20 months = 100 years: only every 100 years, every 4th generation, the birth of a strong personality can be expected in a family.
The second proportion is that of space, because we calculate here in terms of “sides,” directions, and “diagonals.” With the shortening of a diagonal, the area must likewise decrease. The regular shortening of a diagonal yields a pyramid (see Figure 1a).
If we want to use the Platonic number (604) in a pyramid, we can use 60 (=601) as the base side. The base area is then 602. For the height, however, we must use 3 × 60 (pyramid formula = a × b × 1/3 × h) and obtain 603 as the spatial content (volume).
The fourth power of 60 (604) can only be sought in the building blocks (cuboids). Side a = 3, side b = 4, side c (=height) = 5, because 3 × 4 × 5 = 60 (Figure 1b).
But through this, the measurements of the pyramid change: a = 60 × 3 = 180, b = 60 × 4 = 240, c (= h) = 3 × 60 × 5 = 900 (Figure 1c). The pyramid is then equilateral in one direction (vertical section), “but longer in the other” (horizontal section).
The side ratio 3 : 4 : 5 is that of the so-called “Egyptian triangle.” A perfect example for the Pythagorean Theorem for the right triangle: a2 + b2 = c2, therefore 32 + 42 = 52, 9 + 16 = 25, √25 = 5 for the side opposite the right angle (the hypotenuse), when the short leg (a) is 3 and the long leg (b) is 4. The two legs then form a perfect right angle (Figure 1d).
The base of the pyramid sides a 3 × 60 (= 180) and 4 × 60 (= 240) therefore has a diagonal of 5 × 60 (= 300) (Figure 1e).
“A hundred numbers squared upon rational diameters of a square, the side of which is five, each of them being less by one” = the inclination of the pyramid edges = 1 : 3.
“Less by two perfect squares of irrational diameters” = inclination of the pyramid sides, 180 + 240 + 180 = 600 = 1 : 6. One side can be determined if three sides are given.
Edge length and side height yield irrational numbers (with infinite fractions) which are elegantly described thus.
“And in the other direction (i.e. horizontally) a hundred cubes of three.” The base area = 60 × 60 cornerstones = 3 × 4 × 3600 = 43200. 3600/100 = 36 cornerstones, 43200/100 = 432 as area. Three cornerstones are stacked and fastened with pegs in previously bored holes = 1 column; 36 columns, connected at their sides in the same manner, form one building block (see Figure 1f).
Thus the pyramid becomes a step pyramid, whose calculation must follow different principles (see page 10). The calculation in terms of “columns” is performed specially for each step, and this calculation converted into building blocks (= number of columns divided by 36) yields 55 remaining columns per story for stories I through IX (for every 6 steps) which must be discarded. 55 = the sum of the cardinal numbers from 1-10, and also the sum of the squares of the numbers 1-5, that is 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25. In every five steps of stories I, III, IV, VI, VII, and IX, the columns are discarded in this sequence, but in every 5 steps of stories II, V, and VIII they are discarded in reverse sequence, calculated from above 52, 42, 32, 22, 12. This can be described as a true numeric marvel.
We use of the removal of these columns to create 9 huge gates, with peaks at the top in stories I, III, IV, VI, VII, and IX, and peaks at the bottom in stories II, V, and VII. Since the number of columns can be divided evenly by 36 in every 6th step, no columns are discarded there, so that the separation into stories becomes clearly apparent (see Figure 1g and Plate 2).
The apex of the pyramid (= story X) must yield 19 “columns.” Through the removal of 18 columns, the apex of the pyramid undergoes a decorative rearrangement. The 19th (topmost) column must be (alternately) removed from the floor of story X, because no more columns can be removed symmetrically. This fact will later be of special importance (Figure 1h).
In order to compensate for the difference in volume between the step pyramid and ideal pyramid, even more columns must be removed from stories I through VIII. After subtracting the 55 columns for the gates, 288 (= 24 × 12) columns remain in story I, 252 (= 21 × 12) in story II, 216 (= 18 × 12) in story III, 180 (= 15 × 12) in story IV, 144 (= 12 × 12) in story V, 108 (= 9 × 12) in story VI, 72 = (6 × 12) in story VII, 36 (= 3 × 12) in story VIII, which must be removed, meaning in each case 3 × 12 = 36 fewer columns (1 building block). We use the removal of these columns to create inner spaces in these stories, whereby the constantly returning factor 12 represents the profile in width and height, and the other factor (= 3) represents the depth in column-depths. Where the peaks of the gates point upward, meeting rooms (great halls) appear, and where the peaks of the gates point downward, lecture halls (auditoriums) appear. In the former case, the profile has three steps (3 + 4 + 5 = 12 columns), in the latter case it has two steps (9 + 3 = 12 columns), whereby at any given time, 1 column is being dismantled into its three cornerstones, thus creating seating accommodation (Figure 1l and Plate 2). Staircases inside the pyramid link the inner rooms. For this, one building block is taken from the base step above the room, and dismantled into its 108 cornerstones, which are then placed in such a way that side 3 is the height of the step, side 4 the depth, and side 5 the breadth.
Number of cornerstones used:
For step A = 20, B = 19, C = 17, A + B + C = 56, for supports: D = 17, E = 35, D + E = 52, total = 108 cornerstones. The height is therefore 30 × 3 = 90 = height of the story. The staircase follows the walls of the inner rooms and makes two 90° turns. Staircases of the above form correspond to the most extreme cases; in general far fewer cornerstones will be sufficient. Extra cornerstones are used for broadening the staircase, starting from the bottom (Figure 1j).
The grating in the background of the picture (see Plate 3) emerges from the base surface of the pyramid with the built-on squares of the two Egyptian triangles, with the addition of a four-square. The perpendicular cross beam (= 16 + 12 + 16 + 16 = 60; 60 × 602 = 603 or 216000) = twice the cross section of the pyramid. The horizontal crossbeam (= 9 + 12 + 9 = 30; 30 × 602 = 108000) = the cross section of the pyramid. The part of a tilted cross (“St. Andrew’s cross”) visible behind the standing cross has an area of 4 × 6 × 602 = 86400, which is twice the area of the base of the pyramid (43200).
Measuring units might be 1/2 foot, 1/4 ell = ca 15 cm, therefore height = 135 m, step = 2.25 m, stair = 45 cm.
Bill Meridian is an old friend and we stock all his books. Bill began applying computers to financial astrology in 1983, and developed a collection of horoscopes for major markets and companies.
He was ranked #2 in stock market timing in the USA in 2013 by Timer Digest. His books are staple requirements for anyone wanting an education in AstroEconomics!
PFS Grain Forecast
2019 PFS Grain Forecast Bulletin by Daniele Prandelli. A Swing Trader's Forecast Based Upon Gann's Key Principles. The PFS Forecasting Model gives a model of the most expected highs, lows, turns and impulses and is then combined with Key Price Levels as determined by Gann's planetary longitude lines, creating a tradable forecast for the coming year.
Sepharial's Kaleidoscope. A Monthly Column from the British Astrology Journal. Walter Gorn Old, 1111 pages.
This was a centerpiece of the British Journal of Astrology, 6 pages of each 16 page issue. Sepharial wrote the column for 22 years, and it represents the bulk of Sepharial's work including some of his best and most revealing writings.
Science provides vital concepts for analyzing financial markets. Studies of momentum, moving averages, pattern formation, energy, speed, power, strength, impulse, gravity centers, electro-magnetism, solar phenomena, geomagnetic field influences, aether physics, vortex systems, vibration, and wave mechanics are of significant relevance.
Technical Analysis involves using technical tools and mathematical measurements in order to determine expected directional movements, reverses or changes in the market.
Advanced forms of this technique use mathematical and scientific or geometric tools to project market action or forecast future movement, looking at elements of price, time and trend.
The name Alchemy has reference to Ancient Egypt, known to Arabs as Kemi (Black Land). Al-Kemi means "of Egypt".
The Great or Royal Art of medieval philosophers predated chemistry but goes beyond material science to more subtle concern with transmutation - of base metals into gold, and of base man into spiritual man. .
There are many important non English Language esoteric and scientific works which we have in our archives but have not, as yet, been translated into English.
Some important books in this section have already been translated by our Translation Society, and we intend to translate others in the future.
Magick in the Western Esoteric tradition represents a Western equivalent to the internal training systems that are found in Eastern traditions, but is focused on the development of human powers and abilities.
These include mastery of physical, emotional and mental bodies, control over the elements and development of psychic perception and influence.
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.
Dr. Jerome Baumring
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, and Topology, creating multi-dimensional, mathematical models of the markets.
Dr Lorrie Bennett
Dr. Lorrie Bennett is one of few Gann experts to crack the Law of Vibration! 20 years of research led to the solution based on a complex code in Gann's texts.
Following Baumring, Dr. Bennett explains the Law of Vibration in a 4 Volume Advanced Series revealing the Patterns, Numbers, Planets & Geometry behind Gann's secret trading system.
L. David Linsky
A New Discovery of a Mathematical Pattern in the Gold Market which forecasts Gold's turns with an 85-95% accuracy over 40 years. Scientific Proof of a Cyclical Pattern in the Gold Market providinges a 100 Year Forecast of Gold's Major Tops & Bottoms and Bull & Bear Market Campaigns out to 2100.