Phi Cycles *$\Psi$* Cycles

N	phi^n (approx.)	f_n (Hz, approx.)	Corresponding Real Phenomenon
-19	1.07e-04	8.38e-04	Ultra-slow geological processes, such as continental drift cycles over billions of years (~10^{-16} Hz, but scaled; beyond direct biological relevance, approaching cosmological timescales).
-18	1.73e-04	1.36e-03	Long-term evolutionary cycles in species adaptation over millions of years (~10^{-14} Hz; limits of paleontological timescales).
-17	2.80e-04	2.19e-03	Millennial climate cycles, like glacial-interglacial periods (~10^{-11} Hz; geological epochs limiting ecosystem evolution).
-16	4.53e-04	3.55e-03	Centennial tree growth rings or long-term ecological shifts (~10^{-10} Hz; forest regeneration limits).
-15	7.33e-04	5.74e-03	Decadal biological population cycles, like predator-prey oscillations (~10^{-9} Hz; ecosystem stability limits).
-14	1.19e-03	9.29e-03	Annual seasonal migrations in animals or plant growth cycles (~3.17e-08 Hz; yearly biological limits).
-13	1.92e-03	1.50e-02	Monthly lunar-tidal influences on marine life or menstrual cycles (~3.86e-07 Hz; hormonal rhythm limits).
-12	3.11e-03	2.43e-02	Weekly human rest-activity cycles (circaseptan rhythms ~1.65e-06 Hz; biological recovery limits).
-11	5.02e-03	3.93e-02	Daily circadian rhythms in sleep-wake cycles (~1.16e-05 Hz; fundamental biological clock limits).
-10	8.13e-03	6.37e-02	Ultradian rhythms like 90-minute sleep cycles or hormone pulses (~3.09e-05 Hz; short-term biological oscillation limits).
-9	1.32e-02	1.03e-01	Human breathing rates at rest (~0.2-0.3 Hz lower limit; respiratory rhythm boundaries).
-8	2.13e-02	1.67e-00	Slow heartbeat rhythms in deep meditation or hibernation (~0.5 Hz; cardiac lower limits).
-7	3.44e-02	2.70e-00	Delta brain waves (0.5-4 Hz; deep sleep and unconscious processing limits).
-6	5.57e-02	4.36e-00	Theta brain waves (4-8 Hz; relaxation and creativity lower bounds).
-5	9.02e-02	7.06e-00	Alpha brain waves (8-12 Hz lower limit; calm alertness boundaries).
-4	1.46e-01	1.14e+00	Beta brain waves (12-30 Hz lower; active thinking limits).
-3	2.36e-01	1.85e+00	Low gamma brain waves (~30-50 Hz lower; cognitive processing starts).
-2	3.82e-01	2.99e+00	High gamma waves (~50-100 Hz lower limit; complex neural integration).
-1	6.18e-01	4.84e+00	Auditory perception lower limits (~20 Hz human hearing threshold).
0	1.00e+00	7.83e+00	Schumann resonance fundamental (Earth's electromagnetic heartbeat; influences biological rhythms).
1	1.62e+00	1.27e+01	Alpha brain waves upper limit (8-12 Hz; relaxed focus boundaries).
2	2.62e+00	2.05e+01	Human hearing lower comfort range (~20 Hz; bass vibrations in music).
3	4.24e+00	3.32e+01	Low beta brain waves (12-30 Hz upper; active concentration limits).
4	6.85e+00	5.37e+01	Gamma brain waves (30-100 Hz; high-level cognition and perception).
5	1.11e+01	8.68e+01	High gamma waves upper limit (~100 Hz; neural synchronization peaks).
6	1.79e+01	1.41e+02	Audible sound mid-range (~100-200 Hz; voice fundamentals).
7	2.90e+01	2.27e+02	Musical note frequencies (e.g., A4=440 Hz upper harmonics; auditory processing limits).
8	4.70e+01	3.68e+02	Human speech harmonics (~300-500 Hz; communication resonance limits).
9	7.60e+01	5.95e+02	Ultrasonic lower limits for bats/insects (~500 Hz-20 kHz; animal echolocation starts).
10	1.23e+02	9.63e+02	High-frequency animal calls (~1 kHz; bird song limits).
11	1.99e+02	1.56e+03	Human hearing upper mid-range (~1-5 kHz; sensitivity peak for speech).
12	3.22e+02	2.52e+03	High-pitched sounds (~2-4 kHz; whistle frequencies, auditory discomfort limits).
13	5.21e+02	4.08e+03	Ultrasonic animal communication (~4-20 kHz upper hearing limit for humans).
14	8.43e+02	6.60e+03	Bat echolocation lower range (~5-10 kHz; biological ultrasound starts).
15	1.36e+03	1.07e+04	Cellular mechanical vibrations (~10 kHz; biomolecular resonance limits).
16	2.21e+03	1.73e+04	Ultrasonic medical imaging lower range (~20 kHz; tissue interaction limits).
17	3.57e+03	2.80e+04	High-frequency bat calls (~20-50 kHz; echolocation precision limits).
18	5.78e+03	4.52e+04	Molecular rotational vibrations (~10^4 Hz; chemical bond limits in biology).
19	9.35e+03	7.32e+04	High ultrasonic frequencies (~50-100 kHz; insect/dolphin communication upper limits).