Skill: Frequency

Domain: trinity | Depth: axiom

Capabilities

• Fourier analysis: FFT, IFFT, spectral decomposition (numpy, scipy)
• Wavelet transforms (scipy)
• Solfeggio frequencies and harmonic series computation
• Resonance and standing wave modeling
• Brainwave frequency bands: delta, theta, alpha, beta, gamma
• Cymatics: frequency-to-geometry mapping
• Signal synthesis: sine, square, sawtooth, harmonic stacking
• Schumann resonance (7.83 Hz) and Earth frequency modeling

Frequency Reference

Name	Hz range	Domain
Delta	0.5–4 Hz	Deep sleep, healing
Theta	4–8 Hz	Meditation, creativity
Alpha	8–14 Hz	Relaxed focus
Beta	14–30 Hz	Active thinking
Gamma	30–100 Hz	Higher cognition
Schumann	7.83 Hz	Earth resonance
Solfeggio	174–963 Hz	Sacred tones

Libraries

Library	Purpose
numpy	FFT and signal arrays
scipy	Wavelet, signal processing
matplotlib	Spectrum visualization

Module

agents/skills/frequency.py

Key Functions

• fft_spectrum(signal, sample_rate) — frequency spectrum
• synthesize(frequencies, amplitudes, duration, sr) — build waveform
• solfeggio() — dict of all solfeggio frequencies
• brainwave_bands() — frequency band definitions
• schumann_resonances() — first 7 Schumann harmonics
• wavelet_transform(signal) — continuous wavelet transform