Sergey Tarassov's Timing Solution charts below correlate the S&P 500 with harmonics of the 41-month Kitchin cycle (currently averaging 1,267.7 days).
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:
[ To be honest, these are screenshots from a video from July that I can no longer find. ]
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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 cycle) 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.
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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.