André Barbault's Cyclic Index and S&P 500 Behavior | Sergey Tarassov

André Barbault's Index of Cyclical Variations or Cyclic Index measures the balance between waxing and waning angular separations among planets, analogous to lunar phases—where increasing (waxing) angles are associated with more optimistic conditions and decreasing (waning) angles with more pessimistic conditions. The same principle is extended across all planetary angles, with heliocentric configurations preferred.

  

Heliocentric Cyclic Index vs. S&P 500.

Statistical analysis indicates that this index accounts for approximately 6.4% of S&P 500 price variation, representing a modest but notable explanatory contribution for a single indicator. Recent periods show that the index has maintained a consistent relationship with market movements. Further refinement, including the use of neural network methods, may enhance its ability to model optimistic and pessimistic market regimes.

Reference:
Sergey Tarassov (June 22, 2026) - Index of Cyclical Variations and S&P 500 Behavior.

Gold–Bitcoin: 75-Day Lead-Lag Relationship | Sergey Tarassov

Analysis of the relationship between Bitcoin and Gold suggests that Bitcoin may act as a leading indicator for Gold, with an estimated lead of approximately 75 days and a correlation of around 33%.  

 

This relationship allows for a potential Gold projection based on a time-shifted Bitcoin series. 

 

In the chart, the red line represents shifted Bitcoin data, while the bold blue line represents Gold's major 7.8-year cycle. Historically, Gold has more often been considered the leading asset, making this inverse lead-lag relationship an interesting observation.

 

Reference:
Sergey Tarassov (June 19, 2026) - Gold and Bitcoin: Lead-Lag Relationship Analysis with a 75-Day Shift.

Gold's 7.8-Year Cycle: Historical Analysis Since 1782 | Sergey Tarassov

Long-term Gold data from 1782 onward was analyzed with a focus on the approximately 7.8-year cycle identified through spectrum analysis. 

 The pink-shaded chart background marks the out-of-sample projection.

 

In the monthly chart above, multiple cycle scenarios are displayed alongside the Q-Box module projections. The majority of model outputs indicate an upward tendency through year-end 2026, followed by a projected decline through late 2028.

 

Reference:

Sergey Tarassov (July 4, 2026) - Gold’s 7.8-Year Cycle: Long-Term Analysis and Projection Scenarios Since 1782.

Crude Oil and the Half Solar Cycle | Sergey Tarassov

In Crude Oil, a cycle corresponding to approximately half of the Sunspot activity cycle (Sunspot Cycle 2H, ~2,007 days, or ~5.5y) appears to be present. The cycle is detectable through spectrum analysis and was calculated using an astronomy-based model that accounts for the irregular duration of solar cycles. 

The pink-shaded chart background marks the out-of-sample projection of Crude Oil through 2030.

 

Out-of-sample testing since 2020 shows that this variable solar-derived cycle maintains alignment with subsequent Crude Oil price movements.
 

Reference:

Sergey Tarassov (June 28, 2026) - Crude Oil and the Half Solar Cycle: A Variable Cycle Analysis.

 

See also:
Namzes (June 28, 2026) - Oil Outlook 2026: Navigating the Upcoming 40-Week Cycle Low.

Corn and Cotton: Long-Term Cycle Projections | Sergey Tarassov

Analysis of Corn and Cotton identifies a ~17.75-year cycle consistent with Edward R. Dewey's work, but also closely aligned with the 18.6-year Lunar Node cycle.

The pink-shaded chart background marks the out-of-sample projection of Corn through 2036.

 

Treated as an external and irregular cycle, projections built using the Lunar Node framework outperform standard spectral projections, highlighting the importance of adhering to method rules and analytical discipline.

The pink-shaded chart background marks the out-of-sample projection of Cotton through 2050.

In monthly Cotton prices, the commonly cited ~17.75-year cycle appears to be variable rather than fixed, evolving from roughly 17.4 years historically to about 19.3 years in recent data—closer to a 19–20 year Metonic-like rhythm. Modeling the cycle as dynamic and incorporating multiple overtones produces a more accurate representation of historical price movements than a simple fixed sine wave.

Reference:
Sergey Tarassov (July 12, 2026) - Corn Cycle Analysis: 17.75-Year Cycle and Lunar Node Influence.

Sergey Tarassov (June 17, 2026) - Variable Long-Term Cycle in Cotton Prices: Wavelet and Harmonic Analysis.

Kitchin Cycle Signals S&P 500 Rise Into Late 2026 | Sergey Tarassov

Sergey Tarassov's Timing Solution charts correlate the S&P 500 with harmonics of the 41-month Kitchin cycle (currently averaging 1,267.7 days, or 3.473 years).

 

 Note: Based on daily closes, the plotted waves are band-pass–filtered components centered on the target periodicity

(Kitchin range) and subsequently smoothed via averaging/Fourier/digital filtering, suppressing high-frequency noise

and yielding a clean sinusoidal form. Accordingly, they lack utility for day trading or short-term execution.  

The cycle projections (green, blue, and magenta lines) for 2026 in the first chart suggest that the current sideways-to-down phase in the S&P 500 concludes by mid-late-July, followed by a strong projected surge into year-end, then a decline or retracement into Q1–early Q2 2027, and a renewed rise into Q1 2028.

The pink-shaded chart background marks the out-of-sample projection of the S&P through 2028.

  

The long-term chart (2021–2028) indicates an upward trajectory in the S&P 500’s Kitchin cycle into late 2026, followed by a sharp correction in Q1 2027 and a continued rise extending through 2027–2028.

  

Reference:

Sergey Tarassov (July 2026) - Kitchin Cycle and S&P 500.

[ To be honest, these are screenshots from a video from July that I can no longer find. ] 

See also:

Sergey Tarassov (2024) - Kitchin Cycle Suggests DJIA Decline Until End of 2025.

Larry Williams (May 26, 2026) - The Next Bullish Wave May Be Starting. 

 

Kitchin (41-Month) and other Dominant Cycles across Assets and Sectors. 

 

Sergey Tarassov's table classifies each asset by its dominant cyclical drivers (e.g., Kitchin ~3–4y, Juglar ~9y, sunspot harmonics, Venus synodic, 7.8y Gold) and indicates which periodicities statistically dominate price behavior. The “Profile” column quantifies cycle influence, showing the proportion or confidence of a given cycle explaining variance (e.g., “Kitchin 100%” = primary driver). Overall, it’s a multi-cycle attribution framework used to build composite waveforms and time market turning points via overlapping periodic structures. "H" notation interpreted as harmonic components (e.g., 2H, 3H, 4H of Sunspot cycle). "Venus syn" → "Venus synodic" for clarity. Consistent cycle formatting: Cycle (length) where applicable. Ranges unified: e.g., 2H–4H instead of 2H 3H 4H. Missing profiles left blank (—) rather than inferred.

 

Key Cycle Periodicities. 

The second table standardizes all cycles of the first into approximate durations in days and years. Kitchin Cycle (~3.3y) ≈ Sunspot Cycle 3H (~3.7y) explains why they co-appear frequently in the dataset. Other key dominant drivers are: 5.5y (Sunspot 2H) → strongest macro-economic driver (confirmed in GDP note), 7.8y (Gold cycle) → dominant in FX + metals, and 9y (Juglar) → long equity + credit structure. Instruments with Kitchin + 3H Sunspot + Venus synodic (e.g., crypto, grains) tend to show high volatility clustering due to cycle interference.

Gold at Long-Term Cycle Peak | Lars von Thienen

Dominant 230-week cycle in gold topped out; sideways-to-down into late 2026 expected.
Lars von Thienen, February 10, 2025.

Uptrend in Gold becoming steep and parabolic.
Aksel Kibar, February 11, 2025.

37-trading-day (54-calendar-day), 14% run-up from December 19, 2024 low to R2 pivot level of Q1 2025.

Reference:
Lars von Thienen (February 10, 2025) -  Gold. Market Cycles Report. (video)
Aksel Kibar (February 11, 2025) - Gold Uptrend Becoming Parabolic.

 

Gold Seasonality (2000-2025).

See also:
Sergey Tarassov (February 11, 2025) - Gold at Tipping Point. (video)

 Namzes (January 12, 2025) - 2025 Gold Forecast.

The 41-Month Kitchin Cycle Topping Patterns in US Stocks | Lars von Thienen

The weekly S&P 500 shows that the nominal 180-week cycle, currently at 177 weeks, is in an early topping stage. This long-awaited time cycle has been monitored since the end of 2023 and has been cited as a key driver for the upturn lasting into this window. Now that we have arrived at this point, we need to pay close attention to the shorter-term cycles and technical indicators.

Weekly S&P 500 with nominal 180 weeks / 41-Month Kitchin Cycle topping | October 23, 2024

Before moving to the daily cycle analysis, it is worth noting that the cyclic-tuned RSI indicator has reached the upper band, indicating a "bull exhaustion" mode. This condition can turn within days into a "bulls tired" and/or "bulls exit" state, signaling that we are primed for a longer-term reversal. The same weekly cycles situation can be observed on the NASDAQ.

NASDAQ weekly cycles | October 23, 2024

Let's now examine the daily cycles, starting with the S&P 500 model.

 » The daily composite model suggests a topping pattern either now or potentially by the end of the year. «

 S&P 500 daily dominant cycles model | October 23, 2024

The main cycles are the 192-day and the harmonic 89-day trading cycles. The daily composite model suggests a topping pattern either now or potentially by the end of the year. The cRSI indicator shows we are nearing the upper band, which could also signal a final year-end rally before both daily cycles align with the downward-trending weekly cycle noted earlier. A similar perspective can be observed in the Nasdaq daily data.

Nasdaq Composite daily dominant cycles model | October 23, 2024

The shorter-term daily cycles with lengths of 80 and 200 trading days on the Nasdaq model are rolling over now and will likely continue into the end of 2024. These cycles are also coming into alignment with the next long-term downward swing, which is in sync with the long-term cycles shown earlier.

It's worth noting that we're seeing a divergence forming, as the market experienced a clear topping pattern in June of this year: At that time, the composite model peaked while the cRSI was breaking down below the upper band, issuing a sell signal. The price never went back to achieve a higher high, and the cRSI is indicating an even bigger divergence between the price action and the signal line. The technical indicators shown below have been adjusted to the cycles detected and mentioned above. The highlighted red or green shaded areas indicate that the higher timeframe - here the weekly S&P 500 - is also taken into consideration. 

S&P 500 - cRSI cyclic indicator | October 23, 2024

The multi-timeframe cyclic technical indicator is showing a clear divergence between price and the signal. While the weekly chart confirms another overbought situation at the time the divergence signal emerges, this provides technical confirmation of a possible top in place. A similar technical condition can be observed on the NASDAQ.

 

Nasdaq Composite | October 23, 2024

Quoted from:
Lars von Thienen (October 23, 2024) - The next wave on the horizon for the US stock markets – it is time to prepare.

See also:
Richard Smith (October 29, 2024) - Equities Endgame? Spectrum Cycle Analysis of US Indices.

Sergey Tarassov  (September 8, 2024) - Kitchin Cycle Suggests DJIA Decline Until End of 2025. 

Sergey Tarassov  (June 26, 2024) - 2024 DJIA vs 40 Month and 42 Month Cycles.

Edward R. Dewey (1971) - The 41-Month Kitchin Cycle in Stocks. 

 

  Carol S. Mull (1989) - The 3 1/3 - Year Kitchin Cycle.

 

Joseph Kitchin (1923) - Cycles and Trends in Economic Factors.

1986-2024 S&P 500 Index Analogue Projection into Early December

On a day to day basis the analog between S&P 500 closing prices of 1986 and 2024 had a 95% positive correlation over the past 180 trading days, which is the period since the beginning of 2024. Of course, only time will tell whether this correlation continues. With that in mind, the analog projects the upcoming swing highs and lows for the month of October to be more or less in line with Jeff Hirsch's average seasonal chart for October in election years: From the latest all-time high of September 26, the next swing low is projected to occur on October 9 (Wed), followed by a high on October 18 (Fri), and a potentially lower low around October 23-25 (Wed-Fri). Then a rally is expected to occur into November 29 (Fri). Note that in this context, direction is more important than price levels. The average S&P 500 return during October was slightly positive between 1950 and 2023, with 45 up years and 29 down years, and an average return of 0.75%.

Seth Golden is extremely optimistic about 2025: "From September 2023 to September 2024, the S&P 500 has been up greater than 30%. Historically, when the S&P 500 >25% over the trailing 12 months or more into a rate cut, stocks have NEVER been lower a year later and up close to +20% on average. There is no soft landing if there is no landing at all in 2025, and by all accounts the setup is clear!"  

 

A potential fly in the ointment for all of the above bullish outlook is Sergey Tarassov's long-term cycle analysis. He suggested that the 41-month Kitchin Cycle in US stocks would peak between June and October 2024, and be followed by a decline into December 2025-January 2026.  

 

That said, from a narrower medium-term Hurst cycle perspective, August 5 marked the low of a 40-week cycle. The market is now trending upward toward the next 40 week cycle's peak, and the last quarter of 2024 may very well conclude with new all-time highs.

Kitchin Cycle Suggests DJIA Decline Until End of 2025 | Sergey Tarassov

 » DJIA correction begun, and the 41 Month Kitchin Cycle suggests a decline until the end of 2025. «  
 —  Sergey Tarassov, August 5, 2024.

 

» Multiyear High in the DJIA between June and October 2024, i.e. sometime
between the crests of the 40 Month Cycle and the 42 Month Cycle.  «    
 —  Sergey Tarassov, June 25, 2024.

Reference:
Sergey Tarassov (August 5, 2024) - Tune Up 41 Month Kitchin Cycle for DJIA. (video)
Sergey Tarassov (June 25, 2024) - Review of Forecasts for DJIA, Gold, Bitcoin, IOC and Mexican Peso. (video)

 2024 in W.D. Gann's Financial Time Table: » Major Panic - CRASH! «

 

Panic Cycles Week July 15 - 19 & Week September 9 - 13.

—  Martin Armstrong, June 14, 2024.

 

2024 DJIA Compared to 40-Month and 42-Month Cycles | Sergey Tarassov

Multiyear High in the DJIA between now and October 2024, i.e. sometime 

between the crests of the 40 Month Cycle and the 42 Month Cycle (August 2024).

 

Reference:

 Sergey Tarassov (June 25, 2024) - Review of Forecasts for DJIA, Gold, Bitcoin, IOC and Mexican Peso. (video)

Sergey Tarassov (October 14, 2022) - 40 Month and 42 Month Kitchin Economical Cycles - Case Study. o)

S&P 500 Cycles - Top May 25th [+/-] & Correction into Mid-June | Martin Biber

The medium-term cycle (orange) shows a top around the 25th of May [+/-]. The short-term cycle is topping and has another down-up move into the late May cycle top. After that, we should expect a two to five-week setback before a new uptrend starts.

 

 

[My approach only needs a few daily data points to adjust to a new situation.]

Quoted from:
Martin Biber (May 16, 2024) - S&P 500 Cycles - Short-Term Correction.

 

Geocentric Bradley Barometer │ Turning Points in 2024

2023 Nov 13 (Mon) = High
2023 Dec 17 (Sun) = Low
2023 Dec 22 (Fri) = High
2024 Jan 04 (Thu) = Low
2024 Jan 13 (Sat) = High
2024 Jan 22 (Mon) = Low
2024 Jan 29 (Mon) = High
2024 Feb 09 (Fri) = Low
2024 Feb 13 (Tue) = High
2024 Feb 25 (Sun) = Low
2024 May 26 (Sun) = High
2024 Jun 11 (Tue) = Low
2024 Jun 29 (Sat) = High
2024 Aug 19 (Mon) = Low
2024 Aug 29 (Thu) = High
2024 Sep 07 (Sat) = Low
2024 Sep 14 (Sat) = High
2024 Sep 19 (Thu) = Low
2024 Sep 27 (Fri) = High
2024 Oct 01 (Tue) = Low
2024 Oct 05 (Sat) = High
2024 Oct 27 (Sun) = Low
2024 Nov 02 (Sat) = High
2024 Nov 13 (Wed) = Low
2024 Nov 25 (Mon) = High
2024 Dec 08 (Sun) = Low
2024 Dec 18 (Wed) = High
2024 Dec 26 (Thu) = Low

[ calculated and charted for New York City (EST / EDT) with Timing Solution ]

The very well‐known financial astrology indicator known as the Bradley Barometer [or Bradley Siderograph] was created by Donald Bradley in 1947. The theory was that what is happening up in the sky affects human behavior on earth, so Bradley created a barometer that was a combination of transits. By assigning positive values to positive transits and negative values to negative transits he created a weighted net sum oscillator graph. The Bradley also includes the declination of planets. The higher in the sky that a planet appears above the horizon, the more positive the value. The lower in the sky that a planet appears below the horizon, the more negative the value. This Bradley Barometer graph correlated well to the markets even though there was no known physical correlation. The Bradley does very well in forecasting the headwinds or tailwinds of long‐term market moves that can occur over many months […] In recent years, it has shown quite a number of failures. This may be due to a variety of factors. If the Bradley Barometer measures the natural organic flow of the market, then there are certainly external artificial influences that can diminish its effectiveness. Some of these factors may include high‐frequency trading and/or government interference through central bank stimulus. Artificial inflation will cause a market to rise regardless of transits. The market will still oscillate, but with an upward bias. Another important angle to consider about the Bradley is that it designed to be taken in the context of what is happening in the market. The Bradley Barometer is an oscillator. We all know that the market does not oscillate back and forth all the time.

Over the past century, the market has trended higher. However, in between, there are cyclical bull markets and bear markets and sometimes there are consolidation periods. Everything forecast must be taken in its relative context to current market conditions. In a bull market, the down periods in the Bradley may simply mark sideways consolidation periods. It is useful to think of negative planetary transits in the face of a bull market as being nothing more than headwinds that are just a pause in the uptrend. It also follows that in a bull market the periods of the Bradley may mark the largest bull runs. In bear markets, the positive runs in the Bradley model serve as just pauses in the selling. The negative drops in the Bradley mark periods of intense selling in the market. In neutral markets, the Bradley tends to mirror market movement like an oscillator. nevertheless, the Bradley is a very popular model to this day, and many financial astrologers still use it as a backbone to get an overall picture of what the market is doing or what it made do in the future.

Quoted from:
Larry Pesavento & Shane Smoleny (2015) - A Trader’s Guide To Financial Astrology.

 

ooo0ooo

 

Also consider:

New Moons typically mark beginnings of cycles, and Full Moons mark completions. 

In bull markets, New Moons are bottoms, and Full Moons are tops. 

In bear markets, New Moons are tops, and Full Moons are bottoms. 

More often than not, stocks will rise from around the 7th to around the 14th calendar day of a month, 

fall from the 14th to the 20th, and rise from the 20th to the 25th.

Major Red News Releases (NFP, CPI, PPI, PMI, FOMC etc.) and Options Expiration Dates (especially Quad and Triple Witching)

may delay or cancel typical cyclical market behavior and astro signals.

S&P 500 Cycles Forecast | Sergey Ivanov

S&P 500 / ES Major High = ± Sep 08-11, 2023 (Fri-Mon)

 

 

The 2nd half of this week [Sep 04-08] is going to be bullish for the index. Talking about the most probable date for expected (at daily time frame) bearish turn we may rely on the Moon cycle at M30 chart. If today's drop is considerable then a local top is was already set. The next date for local high will be reached by the end of Friday [Sep 08] or the very beginning of the next Monday [Sep 11].

Reference:
Sergey Ivanov (Sep 02, Sep 04 & Sep 05, 2023) - Forecasts calculated with Timing Solution software; published on Telegram.

Dow Jones Industrial Average Self-Similarity Charts for 2023 | Sergey Ivanov

1938 vs 2023

Highest Similarity Ratio between 1963 and 2023 - Projected Low of the Year is February 22 (Wed)

1966 vs 2023

1973 vs 2023

1982 vs 2023

2003 vs 2023

2009 vs 2023

Source:

Sergey Ivanov (Jan 24, 2023) via his free Timing Solution Forecasts Telegram Channel. 

See also:

Sergey Tarassov (2003) - Back Testing of Similarity Module.

Sergey Tarassov - Timing Solution Software.

Sergey Tarassov - Timing Solution Community Group.

Bearish Forecast for US Stocks Indexes | Sergey Ivanov

Sergey Ivanov (Nov 30, 2022) - We have two kind of very effective projection lines for the indexes: Self-Similarity vs 2008 year and Fixed Cycles Composite Line. As you can see they suggest an extreme bearish scenario for the next 1.5 months. If it already started or we have some additional expected bullish bounces is answered by temporal cycles projection lines. 

 

 

Source:
Sergey Ivanov (Nov 30, 2022) via his free Timing Solution Forecasts Telegram Channel  

See also:

Sergey Tarassov - Timing Solution Software

Sergey Tarassov - Timing Solution Community Group

SPX vs Turbo Cycle Projection

Calculated and charted with Timing Solution

SPX 2015 vs SPX 1987

Calculated and charted with Timing Solution.