Shared analysis2026-09-26

^GSPC · daily cycle analysis

Random Walk regime · Hurst 0.551 · 8-bar daily cycle. Snapshot captured 2026-09-26 from a live FractalCycles analysis.

Hurst exponent

0.551

trending

Regime

Random Walk

Confidence 99%

Dominant cycle

8.0 bars

Next peak in 5 · trough in 1

Significant cycles

Out of 16 candidates

Price + composite cycle

Detrended composite of 4 selected cycles, scaled and overlaid on the most recent 600 bars. The dashed segment shows the cycle composite projected forward 127 bars.

Detected cycles

Cycles ranked by spectral power. Statistical significance is tested against the Bartels distribution against the platform default threshold; only cycles below that threshold are flagged significant.

Rank	Period (bars)	Bartels p	Significant	In composite	Phase	Next peak	Next trough
1	8.00	100.000	Yes	Yes	Approaching trough	5	1
2	79.00	100.000	Yes	Yes	Just past peak	69	30
3	29.00	100.000	Yes	Yes	Approaching peak	1	16
4	6.00	0.000	No	No	Approaching trough	3	0
5	18.00	100.000	Yes	No	Rising from trough	4	13
6	25.00	100.000	Yes	No	Falling toward zero	21	8
7	38.00	100.000	Yes	No	Rising toward zero	12	31
8	127.00	100.000	Yes	Yes	Just past trough	62	126
9	60.00	100.000	Yes	No	Approaching trough	37	7
10	22.00	100.000	Yes	No	Approaching trough	13	2
11	52.00	100.000	Yes	No	Just past trough	24	50
12	16.00	100.000	Yes	No	Rising from trough	2	10
13	11.00	100.000	Yes	No	Falling toward zero	9	4
14	27.00	100.000	Yes	No	Just past peak	26	12
15	35.00	100.000	Yes	No	Rising toward zero	9	26

Power spectrum

Goertzel-DFT power across the analyzed period range. Peaks indicate candidate cycle lengths; statistical significance is tested separately via Bartels.

How this snapshot was produced

Detrend method: hodrick-prescott. Sampling cadence: daily. Total bars analyzed: 600.

FractalCycles applies the Goertzel discrete Fourier transform across a candidate period range, tests each peak against the Bartels distribution for statistical significance, and classifies the current regime via the Hurst exponent (rescaled-range analysis). This snapshot represents the analysis output at the moment of sharing and does not update as new bars print.