The Delta Phenomenon
Intermediate turning-point sequence or Intermediate Term
Delta Solution for Gold on a daily bar chart (from Wilder's book).
Short-Term Delta Solution for Cotton on a 15-minute bar chart.
Intermediate Term Delta Solution for the British Pound on a daily bar chart.
Short-Term Delta Solution for EUR/USD on a 5-minute bar chart.
candle chart by shifting daily closes 118 calendar days into the future (blue line).
Jim
Sloman discovered the phenomenon through observation of repeating
market patterns tied to natural rhythms of the lunar cycle and the tides. In the mid-1980s, he presented
his findings to Welles Wilder (creator of the Relative Strength Index,
Parabolic SAR, Average True Range, and other core technical indicators)
and sold the rights for a substantial sum. Wilder then formalized and
popularized the concept in his 1991 book "The Delta Phenomenon or The
Hidden Order in All Markets." He established the "Delta Society
International" to disseminate the method, initially through high-priced
seminars, books, and later software and membership services. Wilder
described it as revealing “the basis of all market movement relative to
time” and claimed it demonstrated a perfect, unchanging order across
centuries of data in any market. The system’s proprietary nature—coupled
with Wilder's marketing that emphasized secrecy and
exclusivity—generated significant interest alongside skepticism in
trading communities.
Unlike most other trading systems, the Delta Phenomenon places emphasis on time rather than price. It
is essentially a swing trading system focusing on time, a cycle system,
where markets make highs and lows based on pre-determined solunar
cycles. Delta does not attempt to forecast exact price levels, but a
combination with price-focused approaches such as Fibonacci, trend
lines, Elliot Waves is recommended.
The Delta Phenomenon rests on the premise that financial markets exhibit a predictable, repeating temporal order analogous to the rhythm of the tides. This order arises from solunar cycles (interactions among the Earth, Moon, and Sun). Markets do not move randomly; instead, they produce roughly the same number of major highs and lows within defined time windows, independent of price levels or fundamental drivers. Key theoretical tenets include:
- All markets repeat their turning-point sequences either directly (e.g., high-low-high-low in a fixed rotation) or inversely (the opposite rotation).
- The underlying driver is astronomical: Earth rotations, lunar orbits, and complete tidal cycles influence collective human behavior and, by extension, market psychology.
- Time is the dominant organizing force; price merely reacts within these temporal windows. Traditional technical analysis (oscillators, patterns) gains higher probability when aligned with Delta timing.
- The order is “perfect” in Wilder’s framework: once the unique solution for a market is identified, future turning points can be projected indefinitely without failure, except for predictable adjustments at inversion windows.
The basic assumptions are that all freely traded financial markets repeat directly or inversely:
- Every 4 revolutions of the Earth = every 4 Days = Short Term Delta (STD).
- Every 4 revolutions of the Moon around the Earth = every 4 synodic Lunar Months (of 29.5306 CD each) = 118.1224 CD = Intermediate Term Delta (ITD)
- Every complete Tidal Cycle = every Lunar Year = 12 * 29.5306 CD = 354.3672 CD = Medium Term Delta (MTD)
- Every 4 revolutions of the Earth around the Sun = every 4 Solar Years = 1,461 CD = Long Term Delta (LTD)
- Every complete total interaction of the Sun, Moon and Earth = Metonic Cycle = 235 Lunar Months = 6,939.691 CD = every 19 Years and 5 Hours = Super Long Term Delta (SLTD).
- Direct vs. Inverse Rotation: Determines whether Point 1 is a high (direct) or low (inverse), and the subsequent sequence.
- Inversions = can only occur in the Inversion Time Window (ITW).
- Inversion Time Window (ITW) = period of time repeating with exact frequency. The ITW begins with last Delta turning point in previous series and continues until the second turning point in the new series. The ITW is the only place in time that inversion can occur. A common ITD-solution for the S&P 500 is a series with 12 turning points within 4 Lunar Months.
- In-Between Point (IBP) = extra point in series may occur only in ITW = IBP may occur on either side of Point #1 thus causing an inversion resulting in change of rotation = IBP may also occur on both sides of Point #1 thus causing two inversions which result in no change of rotation. Hence for example the above mentioned ITD-solution for the S&P 500 may have up to 14 turning points.
Wilder asserted that these mechanics account for apparent “failures” in other cycle systems. Once solved, the framework projects dates far into the future (decades or centuries) with calendar-day precision, requiring adjustment only for the ITW.
Practical implementation and application requires solving the unique “Delta solution” (or reference configuration) for each market or instrument:
- Compile historical price data (daily or appropriate timeframe).
- Overlay candidate cycle intervals and identify alignments of actual major highs/lows with projected points.
- Determine the reference date for Point 1, the rotation (direct/inverse), and any recurring inversion pattern.
- Validate across multiple cycles and timeframes for consistency.
- Project forward: Add integer multiples of the cycle length to generate future turning-point dates.
Trading usage:
- Treat Delta dates as high-probability reversal zones rather than exact signals.
- Enter or exit positions near these windows, confirmed by price action, volume, or complementary indicators (trend lines, oscillators, Elliott Wave counts, Fibonacci retracements).
- Higher-timeframe Delta points provide directional bias for lower-timeframe trades.
- Multi-cycle confluence (e.g., STD and ITD alignment) strengthens conviction.
- Inversion windows require heightened caution and verification.
Short-term Delta Solution for the S&P 500 and other US stock indices like the NASDAQ, DJIA, and Russell 2000:
Short Term Delta (STD) Solution for the S&P 500 | Tepid
Inversion Free Delta Solutions | Russell L.
According to Russell L., Inversion-free variants exist when cycles are scaled by specific multipliers (e.g., 32 calendar days for STD, 32 lunar months for ITD, 32 calendar years for LTD, or multiples of 8 for non-lunar frames). These avoid directional flips and simplify long-term projections. Cycle lengths align with the user’s description of lunar/tidal rhythms and produce consistent numbers of highs and lows within each frame (e.g., a 4-lunar-month ITD segment typically contains 12 points).
The appropriate time frames for Inversion Free Delta Solutions are:
Short Term Delta = 32 calendar days
Intermediate Term Delta = 32 lunar months
Medium Term Delta = 96 lunar months
Short Term Delta = 32 calendar days
Intermediate Term Delta = 32 lunar months
Medium Term Delta = 96 lunar months
Long Term Delta = 32 calendar years
For reasons unknown by me, the non lunar month time frames
also have no inversion if they are multiplied by 8.
Automated Trading Using Delta Points | Slawomir Bobrowski
The Moon's Biological Effects
The debate about how far the Moon causes biological effects has continued for two millennia. Pliny the Elder argued for lunar power “penetrating all things”, including plants, fish, animals and humans. He also linked the Moon with tides, confirmed mathematically by Newton. A review of modern studies of biological effects, especially from plants and animals, confirms the pervasive nature of this lunar force. However calculations from physics and other arguments refute the supposed mechanisms of gravity and light. Recent space exploration allows a new approach with evidence of electromagnetic fields associated with the Earth’s magnetotail at full moon during the night, and similar, but more limited, effects from the Moon’s wake on the magnetosphere at new moon during the day. There is now evidence for mechanisms such as calcium flux, melatonin disruption, magnetite and cryptochromes. Both environmental and receptor variations explain confounding factors and inconsistencies in the evidence. Electromagnetic effects might also account for some evolutionary changes. Further research on lunar biological effects, such as acute myocardial infarction, could help the development of strategies to reduce adverse effects for people sensitive to geomagnetic disturbance (HERE).
The
reason for the tidal effect is the ecliptic path of the Moon around the
Earth and the Earth’s daily cycle of 24 hours. Through this mechanism,
the Moon affects our daily lives. It also affects the biological clocks
and the mental attitudes of all living organisms through a mysterious
mechanism. The force of the Moon’s gravity on the Earth is 2.5 times
more than the Sun’s, and for that reason alone it affects us that much
more. Humans, animals, and plants change under the Moon’s light. Nothing
stays the same in terms of thoughts and attitudes. Two phases of the Moon are most
important: The new Moon and full Moon. During full-Moon periods,
the Earth’s magnetic field is filled with extra ionization and
biological life is influenced more. As the number of positive ions
entering is temporarily higher, humans and animals feel repressed. Some
scientists say humans are bombarded by a wider spectrum of
electromagnetic waves during full Moons.
The Earth is negatively loaded normally, but during full Moons it is loaded with positive particles. This is because the Moon reflects the Sun’s energy to the Earth. As humans are also negatively loaded, they are influenced by this change and feel repressed. Sensitive people are influenced more by full Moons. People who are restless may give exaggerated responses and make themselves and others uneasy. They may behave in a way they always wanted, and their attitudes become sharper. In some extreme cases, they may go mad. People who tend to be violent may give harsh responses. It is well known that suicides, accidents, and heart attacks increase during full moons.
The Earth is negatively loaded normally, but during full Moons it is loaded with positive particles. This is because the Moon reflects the Sun’s energy to the Earth. As humans are also negatively loaded, they are influenced by this change and feel repressed. Sensitive people are influenced more by full Moons. People who are restless may give exaggerated responses and make themselves and others uneasy. They may behave in a way they always wanted, and their attitudes become sharper. In some extreme cases, they may go mad. People who tend to be violent may give harsh responses. It is well known that suicides, accidents, and heart attacks increase during full moons.
The word “lunatic” describes people who go crazy at
those times, because psychotic behavior increases during full Moons. At
the full-Moon phase, the Moon is at the “magnetic tail” created by
particles swirling around the Earth. The Moon reaches that point in four
days, and this sometimes creates an imbalance in the Earth’s magnetic
field. In the new-Moon phase, the Moon enters between the Sun and the
Earth, and its physical body obstructs the particles coming from the
Sun, and some geomagnetic disturbances are experienced. During
full Moons, our creativity also peaks. It is the time to give birth to
new things. Everything now becomes evident. Instead of acting alone,
this period gives us the energy to act together. Consequently, full
Moons allow us to integrate and exchange love instead of conflict and
diversity. As I emphasized before, the Sun, the Moon, and the planets
are the universal powers that emit electromagnetic waves. We respond to
these energies in the light of our consciousness and awareness level.
Louise McWhirter's Theory of Stock Market Forecasting
Louise McWhirter outlined her theory in 1937 in her book Astrology and Stock Market Forecasting. She proposed that the US stock market and broader economic activity correlate with the 18.6-year cycle of the Lunar North Node as it moves through the zodiac signs. The North Node, a point where the Moon’s orbit intersects the ecliptic, moves retrograde (backward) through the zodiac, spending about 1.5 years in each sign.
McWhirter’s central claim is that the North Node’s position in specific zodiac signs corresponds to distinct phases of economic and stock market activity. Her model, based on data from 1850 to 1938, suggests the following correlations:
- Aquarius (Low Point): The North Node in Aquarius marks the bottom of economic activity and stock market performance, often coinciding with recessions or depressions. For example, she noted Aquarius transits during low economic periods, such as the Great Depression’s nadir in 1933.
- Leo (High Point): The North Node in Leo, roughly 9.3 years later (half the cycle), signals peak economic activity and stock market highs. She predicted a recovery peak in November 1942, which aligned with wartime economic stimulus.
- Transition Phases:
- Scorpio and Libra: A transition from normal to above-normal activity, often marking the start of economic expansion (e.g., 2012–2015).
- Cancer and Gemini: Above-normal activity but trending toward normal, indicating a slowdown from the peak.
- Taurus: A pivot point where the economy shifts from normal to below-normal, often a precursor to slowdowns (e.g., 2003–2004).
- Capricorn and Sagittarius: Below-normal activity, moving toward normal, signaling recovery from lows (e.g., 2009–2011).
- Pisces, Aries, Virgo: Additional phases with nuanced effects, such as approaching lows (Pisces), falling below normal (Aries), or rising higher (Virgo).
McWhirter argued that the North Node’s 18.6-year cycle reflects long-term business cycles, with four critical points tied to the fixed signs (Aquarius, Taurus, Leo, Scorpio). She also considered:
- NYSE Natal Chart: Transits to 14° Cancer (Ascendant) and 24° Pisces (Midheaven) of the NYSE’s chart (May 17, 1792, 7:52 AM, per her rectification) were significant for market turns.
- New Moon Analysis: Short-term market trends could be timed using New Moon aspects to planets connected to the NYSE chart.
- Secondary Factors: Other astrological cycles (e.g., Jupiter-Saturn 19.86-year cycle, 19-year Metonic cycle) and non-astrological influences (e.g., central bank policies) could modify the North Node’s effects by up to 20%.
- She accurately identified the 1933 economic low (North Node in Aquarius) and forecasted a 1942 peak (North Node in Leo), which materialized with WWII-driven growth.
- Her cycles aligned with housing market trends, such as lows in 2009 (North Node in Capricorn) and projected peaks in 2020 (North Node in Cancer).
However, her theory isn’t universally consistent:
- Some periods, like 2012–2014 (projected as above-normal), didn’t clearly reflect expected market strength, possibly due to other cycles or interventions like quantitative easing.