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frequency

Frequency-domain and signal-processing skill; use when working on Fourier, spectral, or resonance analysis.

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SKILL.md(原文)

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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

NameHz rangeDomain
Delta0.5–4 HzDeep sleep, healing
Theta4–8 HzMeditation, creativity
Alpha8–14 HzRelaxed focus
Beta14–30 HzActive thinking
Gamma30–100 HzHigher cognition
Schumann7.83 HzEarth resonance
Solfeggio174–963 HzSacred tones

Libraries

LibraryPurpose
numpyFFT and signal arrays
scipyWavelet, signal processing
matplotlibSpectrum 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

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