Showing posts with label Harmonics. Show all posts
Showing posts with label Harmonics. Show all posts

Thursday, April 9, 2026

Bradley Cowan’s Lunar Cycle Projection Methodology Applied to the S&P 500

One of Bradley F. Cowan's methodologies for identifying cycles in financial markets and projecting future turning points employs synodic lunar periods (the time it takes the Moon to align with the Sun relative to the Earth). 

Major low in the S&P 500 (SPY/ES) on Monday, March 30 at 20:20 EDT (Hurst 20-week cycle low),
followed by one synodic lunar cycle projection (red arrow) extending to Wednesday, April 29 09:04. 
 
While the synodic lunar month averages 29.53058886 days (≈ 29 days, 12 hours, 44 minutes, and 2.88 seconds), orbital eccentricity causes individual periods to vary from 29.26 to 29.80 days, a difference of up to 12 hours and 57 minutes. 
 
Synodic Lunar Periods for New York City in 2026 (EST/EDT). 
 
Cowan's technique anchors the start date and time of the synodic lunar cycle to a confirmed major market top or bottom, e.g. to the major low on Monday, March 30, 2026 at 20:20 EDT. Subsequent cycle projections are then generated at exact 360-degree intervals forward from that anchor to April 29 (Wed) 09:04, May 28 (Thu) 21:48, June 27 (Sat) 10:32, July 26 (Sun) 23:16, etc.
 
Anchored to the S&P's major low on Monday, March 30 at 20:20 EDT, the 1st, 2nd, 4th, and 8th harmonics
of one synodic lunar cycle generate the blue summation or composite projection line to April 29 (Wed) 09:04.
 
Anchored to the S&P's major low on Monday, March 30 at 20:20 EDT, the 1st, 2nd, 4th, and 8th harmonics of the
8.4-week cycle (2-lunar month or 59-day cycle) generate the blue composite projection line for April and May.
 
Anchored to the S&P's major low on Monday, March 30 at 20:20 EDT, the 1st, 2nd, 4th, and 8th harmonics of the
 17-week cycle (= Intermediate Term Delta cycle = 4-lunar month or 118-day cycle = one third of the lunar year)
generate the blue composite projection line to July 26 (Sun) 23:16The June 18 high should
be lower than the May 8 high, and the July 26 low should be lower than the March 30 low.
 
Bradley Cowan's synodic lunar cycle projections in stocks.
 
In his books "Four Dimensional Stock Market Structures and Cycles" (1993) and "Pentagonal Time Cycle Theory" (2009), Cowan further elaborates on this "anchored" lunar and planetary cycle projection methodology. However, unlike the highs and lows shown in the blue composite projection lines in the charts above, Cowan's methodology utilizes 45-degree synodic lunar cycle offsets (= 8th harmonic ≈ 3.6913 calendar days or 3 days, 16 hours, 35 minutes, and 28.3 seconds = April 03 (Fri) 12:55, April 07 (Tue) 05:31, April 10 (Fri) 22:06, etc.) to project potential turning points only rather than specific highs and lows, higher highs and higher lows, and lower highs and lower lows. 
 
Sidereal lunar cycle projections.
 
In 2021, a certain Mario of "4X Other Way" presented anchored projections of future turning points using the 27.321661-day sidereal lunar period (≈ 27 days, 7 hours, 43 minutes, and 11.5 seconds; the time it takes the Moon to orbit the Earth relative to the distant 'fixed' stellar background; to fixed stars such as Aldebaran, Altair, Deneb, Rigel, or Sirius). Now, should the lunar cycle be synodic or sidereal? Both cannot be simultaneously correct or exact—at best, only one of them works.
 
» Usually there will be an eclipse near the same degree of the zodiac once every 19 years [...] In this cycle the Sun makes a complete circuit of the sky and reaches the same Node at the same place on the ecliptic. This length of time is 6,585.32 solar days, which is 48 years and 11.33 days. The shortest time required for the Sun to travel from and return to the same node is 346.6 solar days, an interval known as an Eclipse Year. [...]  Nineteen of the eclipse years contain 6,585.4 days, which is precisely 223 synodic months. This is when the Nodes themselves become important in the predictions on the stock market. «

Tom McClellan observes that the 2026 price structure closely mirrors 2025, with the tightest alignment achieved by shifting the data 343 days to synchronize even minor fluctuations. This offset approximates the above mentioned Eclipse Year (346.62 days)—the interval required for the Sun to return to the same lunar node (the intersection of the Moon's orbit with the ecliptic). Because this draconic cycle is shorter than the solar year, it governs eclipse seasons, which recur about every 173 days and drift earlier each calendar year. The cycle is driven by the westward precession of the Moon’s orbital nodes, completing a full rotation roughly every 18.6 years and thereby defining the 346.62-day periodicity. However, intermediate- and longer-term analogs are generally unstable and break down at some point. If Tom McClellan’s "Stock Market Matching the Year Ago" analog continues to hold, it implies a sustained bullish trend into the summer of 2026. This conflicts not only with intermediate-term cycles but with typical seasonal weakness from May to October—especially in a presidential cycle’s second year. 
See also:

Wednesday, December 24, 2025

Pythagorean Harmonics in Multi-Millennial Solar Activity | Theodor Landscheidt

One of the first interdisciplinary approaches to a holistic understanding of our world was that of Pythagoras and his disciples. They created the theory of the fundamental significance of numbers in the objective world and in music. This theory reduced all existence to number, meaning that all entities are ultimately reducible to numerical relationships that link not only mathematics to music but also to acoustics, geometry, and astronomy. Even the dependence of the dynamics of world structure on the interaction of pairs of opposites—of which the even–odd polarity essential to numbers is primary—emerges from these numerical relationships. Pythagoras would have been pleased to learn of attractors opposing in character, created by simple feedback loops of numbers, and forming tenuous boundaries—dynamic sites of instability and creativity.

Pythagoras exploring harmony and ratio with various musical

Pythagorean thinking deeply influenced the development of classical Greek philosophy and medieval European thought, especially the astrological belief that the planetary harmony of the universe affects everything, including terrestrial affairs, through space–time configurations of cosmic bodies. People were intrigued by the precision of numerical relationships between musical harmonies, which deeply touch the human soul, and the prosaic arithmetical ratios of integers. This connection was first demonstrated by Pythagoras himself in the sixth century B.C. In his famous experiment, a stretched string on a monochord was divided by simple arithmetical ratios—1:2, 2:3, 3:4, 4:5, and 5:6—and plucked. It was a Eureka moment when he discovered that these respective partitions of the string create the consonant intervals of harmony.
 
One tone is not yet music. One might say it is only a promise of music. The promise is fulfilled, and music comes into being, only when one tone follows another. Strictly speaking, therefore, the basic elements of music are not individual tones but the movements between tones. Each of these movements spans a certain pitch distance. The pitch distance between two tones is called an interval. It is the basic element of melody and of individual musical motion. Melody is a succession of intervals rather than of tones. Intervals can be consonant or dissonant.
 
[ Nodes of a vibrating string are harmonics. Conversely, antinodes
—points of maximum amplitude—occur midway between nodes. ]
 
It was Pythagoras’ great discovery to see that the ratios of the first small integers up to six give rise to consonant intervals; the smaller these integers, the more complete the resonance. A string divided in the ratio 1:2 yields the octave (C–C), an equisonance of the fundamental tone. The ratio 2:3 yields the fifth (C–G); 3:4 the fourth (C–F); 4:5 the major third (C–E); and 5:6 the minor third. These correspond to the consonant intervals of octave, fifth, fourth, major third, minor third, and the sixth. The pairs of notes given in brackets are examples of the respective consonances.
 
The minor sixth, created by the ratio 5:8, seems to go beyond the limit of six. Yet eight—the only integer greater than six involved here—is the third power of two and thus a member of the series of consonant numbers. Eight is created by an octave operation, which produces absolutely equisonant tones. All authorities agree that, besides the equisonant octave, there are no consonant intervals other than the third, the fourth, the fifth, and the sixth. If more than two notes are to be consonant, each pair of them must also be consonant.
 
As mentioned already, the most complete consonance within the range of an octave is the major perfect chord C–E–G (4:5:6), which unites the major third and the fifth with the fundamental note. These concepts of harmony and consonant intervals are formed by the first terms in the series of overtones, or harmonics, produced by a vibrating string. [...] Whenever there is a musical sound, there is an addition of harmonics that relate the fundamental tone to an infinity of overtones, which influence the quality of the consonant fundamental. The overtones up to the sixth harmonic represent the consonant intervals: the octave, the fifth, the fourth, the major third, the minor third, and the sixth.

Figure 19
: Smoothed time series of consecutive impulses of the torque (IOT), with epochs indicated by dots. The resulting wave pattern corresponds to the secular cycle of sunspot activity. The average wavelength is 166 years, with each extremum occurring at mean intervals of 83 years, aligned with a maximum in the secular sunspot cycle. These maxima, as identified by Wolfgang Gleissberg, are marked by bold arrows. Minima occur when the wave approaches zero. This wave pattern reflects the influence of solar system configurations that generate impulses of the torque.

Figure 34
shows the combination of the consonant intervals known as the major sixth (3:5) and the minor sixth (5:8) as they emerge in solar-system processes over thousands of years. These intervals are marked by vertical triangles and large numbers. The curve depicts the supersecular variation of energy in the secular torque wave, part of which was shown in points along the curve represent epochs of extrema, labeled by Aₛ numbers from −64 to +28, corresponding to the period from 5259 BC to AD 2347. The mean cycle length is 391 years. Black triangles indicate maxima in the corresponding supersecular sunspot cycle, while open triangles indicate minima. When the energy exceeds certain quantitative thresholds, shown by hatched horizontal lines, a phase jump occurs in the correlated supersecular sunspot cycle. These critical phases are marked by vertical dotted lines. A new phase jump is expected around 2030.
It points toward a supersecular minimum comparable to the Egyptian minimum (E) around 1369 BC, a prolonged period marked by notable cooling and glacier advance. The ratio 3:5:8, representing the major and minor sixth, marks the intervals that separate these rare phase jumps indicated by the vertical dotted lines. The 317.7-year period of the triple conjunction of Jupiter, Saturn, and Uranus is also involved in this relationship, as shown by the small numbers beneath the large numbers at the top of the figure.
[...] Another confirmation of the hypothesis that consonant intervals play an important role with respect to the Sun's eruptional activity are the connections presented in Figure 34 that cover thousands of years. It has been shown in Figure 19 that consecutive impulses of the torque (IOT) in the Sun’s motion about the center of mass (CM) of the solar system, when taken to constitute a smoothed time series, form a wave-pattern the positive and negative extrema (±As​) of which coincide with maxima in the secular sunspot cycle. This Gleissberg cycle, with a mean period of 83 years, which modulates the intensity of the 11-year sunspot cycle, is in turn modulated by a supersecular sunspot cycle with a mean period of about 400 years. The Maunder Minimum of sunspot activity in the 17th century and a supersecular maximum in the 12th century are features of this supersecular cycle. It seems to be related to the energy in the secular wave presented in Figure 19.

This energy may be measured by squared values of the secular extrema ±As​. When these values are taken to form another smoothed time series, a supersecular wave emerges as plotted in Figure 34. It runs parallel with the supersecular sunspot cycle. Its mean period is 391 years, but it varies from 166 to 665 years. Each dot in the plot indicates the epoch of a secular extremum (±As​). These epochs are numbered from -64 to +28 and range from 5259 B.C. to 2347 A.D. Black triangles indicate maxima in the correlated supersecular sunspot curve and white triangles minima. The medieval maximum, which was together a climate optimum (O), the Spoerer Minimum (S), and the Maunder Minimum (M) are marked by respective abbreviations. The extrema in the supersecular wave properly reflect all marked peaks and troughs in the supersecular sunspot curve derived from radiocarbon data.
 
 
Angular Momentum and Past/Future Solar Activity, 1600-2200: JUP-NEP resonance of 22.13y mirrors Sun’s 22y magnetic cycle. JUP-NEP squares to solar equator align with 11y solar minima; sub-harmonics like JUP-URA-NEP at 11.09y track sunspot fluctuations. Centuries of data show minimal drift (0.6 ±1.5y), suggesting planetary periods act as solar activity pacemakers. 
  
See also:

Friday, October 24, 2025

J.M. Hurst’s "Principle of Commonality": One Divine Force | Ahmed Farghaly

The "Cyclic Principles" introduced by J.M. Hurst in the 1970s are universal, persisting since the dawn of time. Among these, the "Principle of Commonality" stands out, as it demonstrates that the cycles of disparate financial instruments—and, by extension, human activity—are synchronized by a singular, overarching divine force. Troughs of unrelated instruments occur almost simultaneously, while divergences in peaks or amplitudes stem from local or company-specific factors rather than the underlying rhythm.

» The Principle of Commonality assures us that identical specific and forecastable wave processes occur in all negotiable equities of all types on all markets of the world. So all-pervasive is this Principle that it is only the Principle of Variation that prevents the shape of price histories of all equities from being nearly identical. And, as we have seen, it is the interaction of fundamental events and situations with cyclicality, causing wave amplitude change, that is responsible for the Principle of Variation. «
» The Principle of Commonality assures us that identical specific and forecastable wave processes occur in all negotiable equities of all types on all markets of the world. So all-pervasive is this Principle that it is only the Principle of Variation that prevents the shape of price histories of all equities from being nearly identical. And, as we have seen, it is the interaction of fundamental events and situations with cyclicality, causing wave amplitude change, that is responsible for the Principle of Variation. 
» A Commonality Phasing Model is, in effect, a large measuring strip used to preserve wave phase and period information from the analysis of two or more equities. Only the most certain of the wave trough locations are used from any given analysis. As results are added from analysis of more and more equities, gaps are filled in and a commonality distribution range is established for each wave trough position in time. A commonality phasing model can be maintained continuously, thus recording the most definitive evidence of wave phase and period from all analyses conducted. «     The Principle of Commonality, J.M. Hurst, 1973.
» A Commonality Phasing Model is, in effect, a large measuring strip used to preserve wave phase and period information from the analysis of two or more equities. Only the most certain of the wave trough locations are used from any given analysis. As results are added from analysis of more and more equities, gaps are filled in and a commonality distribution range is established for each wave trough position in time. A commonality phasing model can be maintained continuously, thus recording the most definitive evidence of wave phase and period from all analyses conducted. «
The Principle of Commonality, J.M. Hurst, 1973. 
Hurst emphasized its practical value: understanding one cycle illuminates others, with minor deviations—his third type of the Principle of Variation [each market’s active cycles deviate from the nominal model’s average periods, and these deviations differ across instruments and times]—leaving global synchronization intact as dictated by the Principle of Commonality. Empirical studies across unrelated assets, commodities, equities, and economic time series confirm that the Principle of Commonality governs beyond any single economy, reflecting a universal rhythm and mirroring humanity’s progression from polytheism toward recognition of a monotheistic, single guiding influence.
 
And your God is one God. There is no deity except Him, the Most Gracious, the Most Merciful.
The Holy Qur’an, Surah Al-Baqarah (The Cow), 2:163.
  
The persistence of cyclical waves through recorded history suggests that Commonality is trans-historical. Data since around 1000 AD reveal continuous alignment, and extrapolation indicates these forces existed long before formal record-keeping. Historical observation supports this: human advancement in the Stone and Bronze Ages unfolded in temporal synchrony across disconnected populations, indicating the operation of the consistent underlying divine force.
 
For every nation is an appointed term; when their term is reached,
neither can they delay it nor can they advance it an hour or a moment. 
The Holy Qur’an, Surah Al-A‘rāf (The Heights), 7:34. 
 
While troughs—the beginnings and endings of cycles—are closely aligned across nations, local expression varies. Peaks may occur at different times, amplitudes differ, and local fundamentals shape trajectories. The Principle of Commonality thus governs temporal alignment of critical points while allowing variation in the wave’s characteristics.
 
Chart 1: Saudi Stock Exchange Index (Tadawul; magenta) versus Dow Jones (DJIA) from 2000 to 2025.
Chart 1: Saudi Stock Exchange Index (Tadawul; magenta) versus Dow Jones (DJIA) from 2000 to 2025.

Empirical evidence validates these assertions. The Kuznets Swing (an 18-year cycle) peaked in 2006 in Saudi Arabia and in 2019 in the United States, yet both began in March 2003 and bottomed in the global low of March 2020. Minor discrepancies among sub-waves reflect local variation but do not disrupt the synchronization of primary troughs (see chart 1 above).
 
Chart 2: S&P 500 (red) versus Commodity Price Index from 1789 to 2025.
 Chart 2.1: Commodity Price Index and S&P 500, both from 1800 to 2025.
 
Chart 2: S&P 500 (red) versus Commodity Price Index from 1789 to 2025.
Chart 2.2: S&P 500 (red) versus Commodity Price Index from 1800 to 2025.

Longer-term studies, including continuous commodity prices and the S&P 500 since 1800, show that over 90 percent of cyclical troughs align temporally across instruments (see charts 2.1 and 2.2 above). 

Chart 3: Soybeans (yellow) versus the Saudi Stock Exchange Index (Tadawul) from 2000 to 2025.
Chart 3: Soybeans (yellow) versus the Saudi Stock Exchange Index (Tadawul) from 2011 to 2025.

Chart 4: German Dax (yellow) versus the Saudi Stock Exchange Index (Tadawul) from 1980 to 2025.
Chart 4: German Dax (yellow) versus the Saudi Stock Exchange Index (Tadawul) from 1994 to 2003.

Even unrelated markets, such as soybean prices and the Saudi stock index (Tadawul), demonstrate strong temporal correspondence (chart 3 above). Comparisons of the German DAX and Saudi index (chart 4 above) reveal synchronization across multiple cyclic levels—the 18-month, 54-month (Kitchin), and 9-year (Juglar) waves—further confirming a unifying global force.
 
“And all the inhabitants of the earth are reputed as nothing: and He doeth according to His will in the army of heaven, and among the inhabitants of the earth: and none can stay His hand, or say unto Him, What doest Thou?” The Holy Bible, Daniel 4:35 (KJV).
 Prophet Daniel (Daniyal) in the Lions' Den (Daniel 6:16–23, KJV).
And all the inhabitants of the earth are reputed as nothing: and He doeth according to His will
in the army of heaven, and among the inhabitants of the earth: and none can stay His hand,
or say unto Him, What doest Thou? The Holy BibleDaniel 4:35 (KJV). 
 
Hurst’s Principle of Commonality thus affirms a single, synchronized force governing the timing of major and minor cycles, while local factors shape amplitude and peak positions. This robust alignment, persistent across centuries and diverse instruments, confirms that cyclical patterns are not random but manifestations of an underlying order.

“Is He not best who begins creation and then repeats it, and who provides for you from the heaven and the earth? Is there a deity with Allah? Say, ‘Produce your proof, if you should be truthful.’”  The Holy Qur’an, Surah An-Naml (The Ants), 27:64.
Is He not best who begins creation and then repeats it, and who provides for you from the heaven
and the earth? Is there a deity with Allah? Say, ‘Produce your proof, if you should be truthful.’ 
The Holy Qur’an, Surah An-Naml (The Ants), 27:64.
 
Today, we can confidently state that in this article we have presented our proof of a mysterious, dominant, and single force behind almost all fluctuations in human affairs. We can only ask God to grant us wisdom to recognize His design and join us with the righteous after we fulfill our appointed term in harmony with His will.
 

Friday, March 1, 2024

Planetary Harmonics | Larry Berg

 » The heavenly motions are nothing but a continuous song for several voices, to be perceived by the intellect, not by the ear; a music which, through discordant tensions, through syncopations and cadenzas as it were, progresses toward certain predesigned six-voiced cadences, and thereby sets landmarks in the immeasureable flow of time. « 

The Harmony of the WorldJohannes Kepler, 1619
» Planetary angles affect solar activity, which, in turn, affects the biosphere, which includes human physical and emotional well being. In terms of physics, my guess is that the cause is the gravitational effect of harmonic angles on the sun. After a high harmonic occurs, solar activity increases, increasing solar radiation. Solar radiation is responsible for ionization of Earth's upper atmosphere, causing geomagnetic and atmospheric changes, which, in turn, affect weather and the biosphere. «  

» The fact that the sun affects weather, and that the weather affects biology, is fairly well established. There really is no doubt in my mind that we are affected, emotionally and hysically, by the weather and environmental radiations. There are many scientific studies showing this. Dr. Becker of New York is famous for his work showing how the human body's electrical field is altered by the natural cycles of Earth's magnetic field, causing changes in biorhythms. « 

»
John Nelson took the electromagnetic approach, equating the solar system to a gigantic generator. He thought of the planets as magnets. The planets are, in fact, gigantic bar magnets, and they're moving. That's why the effect of the planets upon the sun is cyclical and not steady like a generator. That's what you'd expect. I tend to think that the cause is a combination of electromagnetism and gravitation. Einstein worked for half of his life on combining these two forces in his unified field theory. « 

»
To calculate the Astro Method Indicator I first look up each planet's heliocentric longitude in the Astronomical Almanac published by the U.S. Naval Observatory. Then I subtract the lanets' longitudes from each other, plot those values on a chart, and connect the dots. Every combination of the nine planets makes 36 cycles. The value of these cycles ranges from 0° to 180° (two planets are never more than 180° apart). For example, if Jupiter's longitude were 120° on January 1 and Saturn's longitude were 140°, I'd enter a dot on a graph on January 1 at 20°. Then I'd do the same calculation for the next day, and the next day, and so on. Then I'd connect the dots to form that cycle line. I would do this for every other planetary relationship for as many days or years as I wish to calculate, depending upon the time frame I wished to study. « 
» The Astro Indicator doesn't forecast turns in commodity prices very well. Those markets are more dependent on the actual supply and demand of the particular commodity, rather than on psychology. However, on a longer-term basis, I've studied the relationship between commodity prices and the solar cycle, and there's absolutely no question in my mind that commodity prices are dominated by the 11-year solar cycle. I've studied the correlation since 1873. Commodity prices peak at solar maximum and bottom at solar minimum. It's weather related. « 

» The stock market is a barometer of mass psychology. If you really think about it, it boggles the mind. The stock market is a single place where millions of people go to play with their money. What better barometer of human mass psychology could there be than the stock market? The next time you read a stock market commentary, make an effort to filter out the psychological adjectives. Words like optimism, fear, and anxiety are everywhere. And the tides that move men are intractable. The Astro Indicator works, and it will always work. Because it's based on the inextricable link between Man and Nature. « 
 
 
How to calculate the Astro IndicatorAll calculations and charting was done by hand when I first began my work.  I have since developed software spreadsheets using Excel which calculate BT automatically in seconds which previously took me several days to do by hand.

We'll go through every step here and do one week of the indicator.  You can, of course, do as much time at once as you want when you start doing it yourself.  However, we're dealing with lines here that have to be seen well, so the smaller the time scale the better.  The process will take some getting used to in the beginning.  Even with a computer to help in the calculations, it takes about an hour to do one month.  Once you get the hang of it though you should be able to do one year in about 2 days.  And of course you can go as far as you want into the future as you want, data availability permitting. The heliocentric ephemeris I use is the one published each year by the U.S. Naval Observatory called the Astronomical Almanac (called the American Ephemeris and Nautical Almanac prior to 1981).  Most university and public libraries should carry it in the government documents department.  There are sources for heliocentric data further out than one year, probably at a local astrology book store.  And there are many online sources for this data, some provided in the Links section.

Figuring the cycles: The first thing to do is get the Astronomical Almanac (for longitude data online visit: https://ssd.jpl.nasa.gov/tc.cgi#top.  Here, I'll do the time discussed previously--January 11 to January 17, 1973.  I always like to copy the pages I need rather than use the whole book.  It's much easier working with separate pages than a whole book, especially since you often have to shuffle from page to page.

The Julian Date is a scientific number denoting the date.  Latitude is not used.  Latitude refers to the degrees the planet is north or south of the solar equator. Radius Vector, Orbital Longitude, and Daily Motion are also not used.  We only use Longitude.

First we calculate and plot all the planet cycles except Mercury.  Mercury is done separately because it moves so fast and would cause chaos if we added it with all the other planets together.  Listed below are each of the planet cycle relationships we'll now calculate and plot.  I suggest scratching them off as they're done.  This is important so you don't forget what you've already done:

Venus-Earth       Earth-Mars       Mars-Jupiter      Jupiter-Saturn     Saturn-Uranus
Venus-Mars        Earth-Jupiter     Mars-Saturn     Jupiter-Uranus     Saturn-Neptune
Venus-Jupiter     Earth-Saturn     Mars-Uranus     Jupiter-Neptune  Saturn-Pluto
Venus-Saturn     Earth-Uranus     Mars-Neptune   Jupiter-Pluto
Venus-Uranus    Earth-Neptune   Mars-Pluto       Uranus-Neptune
Venus-Neptune   Earth-Pluto       Uranus-Pluto
Venus-Pluto       Neptune-Pluto

There are 28 cycles here.  Mercury will add another 8 making a total of 36 cycles in all.  

First make a graph with the horizontal 'x' axis divided into six equal sections for Jan 11-17.  The vertical 'y' axis should be divided into 180 degrees with 180 at the top.  Graph paper should be used that has enough horizontal lines to represent each of the 180 degrees.  The paper should be large enough to be able to distinguish 180 vertical points, which might mean a sheet of a size substantially larger than 8 1/2 x 11.  The size depends on what kind of graph paper you find available.  However, the larger the better.  The larger it is the easier it will be to work with and see what you're doing.  You'll also need a mechanical pencil with thin lead, the thinner the better (I use .5mm) and a metal straight-edge.  Wooden rulers get dirty and their edge wears out.

Drawing the cycles: The difference between Venus and Earth longitudes (238.9 minus 110.6) is 128.3 degrees.  So on the graph we'll place a reference dot on Jan 11 at 128.3 degrees.  We do this calculation for each day for Venus-Earth and get seven dots.  Connect the dots.  That line is the cycle line representing the heliocentric longitudinal distance between Venus and Earth for the period.

This same process is then done for each of the remaining 27 planetary cycles listed above.  So next find the difference between Venus and Mars longitudes for each day.  Then plot those values on your chart and connect the dots. There are certain "rules of the road" to observe while doing the calculations:

If you subtract two of the longitudes of the planets and you get a number greater than 180, subtract that number from 360 to get the right number to plot.
If you subtract two of the longitudes of the planets and you get a number less than 0 but greater than -180, multiply that number by -1 to make it positive.
If you subtract two of the longitudes of the planets and you get a negative number less than 180, add 360 to get the right number to plot.
Simply put, the product of subtraction of two longitudes should always be between 0 and 180 for plotting.
 
Now Mercury has to be done, on a new graph.  The 8 cycles for Mercury are:

Mercury-Venus     Mercury-Jupiter     Mercury-Neptune
Mercury-Earth     Mercury-Saturn     Mercury-Pluto
Mercury-Mars     Mercury-Uranus

When the graph is finished you should have eight lines drawn.

Counting the Intersections: This is the fastest, simplest, and most rewarding part of the project.  As you count the intersections you'll start to see how planetary angle harmonics take form.  You'll now be, essentially, seeing into the future.  In front of you will be an indicator which will tell you when the coming weather and stock market reversals will occur, when hurricanes will be generated, when an El Nino will occur, when wars are likely.  You're now seeing the future tides of nature unfolding with cold scientific exactness, measurement, and calculation.  You're now doing what innumerable cultures have crudely been doing since man first walked the earth and attempted to measure time and the seasons.  I kinda laught to myself when I think 'what else did they have to do at night'?  

This is the new Macro Astrology . . . the forecasting of weather and atmospheric system movements, times of geological disturbances, peculiarities of human and animal behavior, even times when viruses and bacteria are more active and abundant.  Down through time, astrologers have satisfied themselves with following only six, ten, or maybe twenty planetary alignments in their work.  Here you are looking at all possible planetary angle harmonics which is able to forecast the ebb and flow of all natural phenomena.

You've probably noticed by now that there are times in the charts when all the cycles converge at one time.  These are times of strong planetary harmonics.  What we simply do now is count the number of intersections between the lines that occur each day, that is, the number of times any two cycle lines cross during each day.  Make a simple bar chart, divided into each day, and add up the number of intersections occurring each day.

We'll start with the 28-cycle sheet.  On Jan 11 there was 1 intersection made.  So on your graph paper make a bar chart indicating 1 for Jan 11.  On Jan 12 there were 0 intersections, so leave Jan 12 blank on your bar chart.  On Jan 13 there were 0 intersections.  On Jan 14 there were 11 intersections, so put a bar line 11 high for Jan 14 on your bar chart.  On Jan 15 there was 1 intersection.  On Jan 16 there were 3 intersections.

You probably want to know how I counted the intersections when four cycle lines came together all at once on Jan 14.  There are "laws of intersection".  Two cycle lines coming together can only make one intersection, obviously.  Three cycle lines coming together make three intersections. However, four cycles coming together make six intersections and five cycles together make ten intersections.  So when four of the cycles came together on the 14th, six intersections were made.

Now we add the Mercury intersections to this bar chart.  Based on the 8 Mercury Cycles Graph, Jan 11 has one intersection and Jan 15 has one intersection.  Done.

This is the complete Astro Indicator Methodology. 
 
Reference:

Friday, September 8, 2023

The Art of Forecasting Wheat Prices Using Harmonic Cycles | L.H. Weston

Numerous attempts have been made during the past century to find a fairly reliable method for determining, long in advance, the probable price of wheat and grain in general [...] We have a wheat record that runs back, upon unimpeachable authority, for several hundred years, the one given in this booklet beginning in the year 1270 and running up to present time, with years as the unit of time, and it would indeed be strange if, with such a record, we could not pick out the useful cycles in it, providing any such cycles really do exist [...] That there are recurring cycles of movement in nearly all, if not, indeed, absolutely all natural phenomena, there is now no longer any reasonable doubt. No scholar of the day, no scientist, no investigator of these times, would for a moment argue against this well established fact.
 

[...] In the following pages I give the recorded mean price of wheat for each year in England from the year 1270 to 1909, in both a table and a diagram. Also, in a diagram, the monthly mean price of wheat at Chicago and Cincinnati from 1844 to present date. Special charts are also given to illustrate the explanations regarding the method of forecasting by means of cycles. By means of these tables and charts I show in this work how a forecast of the wheat market can be made up for over 40 years. In fact, I chart the forecast in advance over 10 years, for the benefit of readers and students. It is done just as proposed above, namely, by first proving that the harmonic cycles really do exist in the records, and then carrying them on into future years. The calendar year is used as the unit of time (or the calendar month) and therefore the forecasting, as taught, is necessarily of the long swing movement. 
 
 
 
[...] On page 27 is given the table of composite and harmonic values in the 49-year cycle. That composite is, as before stated, the result of eleven cycles added together, while the harmonic values are merely the smoothed curve of this same composite, and both are charted together on page 26. 

 
[...] This result is given in the Composite Chart of the 49-year cycle and it is the one used as the basis of all forecasting. If we examine the composite chart with some attention we will find that there are just about eight places where tops come out and likewise there are eight bottoms. Eight into 49 goes 6.125 times, so it seems very much as though the famous 7-year cycle of the ancient Jews was in reality about six and one-eighth years instead of 7. It is the eighth harmonic that gives the best results in the 49-year cycle, instead of the seventh.