🧠 Brain Wave Harmonics
Alpha : Beta : Gamma = 1 : 2 : 4
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Brain waves naturally follow 1:2:4 ratios. This same pattern appears in EEG measurements worldwide.
🎹 Musical Overtone Series
f₁ : f₂ : f₃ : f₄ = 1 : 2 : 3 : 4
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Every musical note contains harmonic overtones at integer multiples. Piano tuning is built on these ratios.
⚡ AC Power Harmonics
60 : 120 : 180 : 240 Hz
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The electrical grid operates at 60Hz with harmonics at 120, 180, 240 Hz. IEEE Standard 519-2014 governs these ratios.
🪐 Jupiter's Moons (Orbital Resonance)
Io : Europa : Ganymede = 1 : 2 : 4
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Jupiter's moons Io, Europa, and Ganymede are locked in a 1:2:4 orbital resonance. Verified by Galileo in 1610.
🚗 4-Stroke Engine Timing
Camshaft : Crankshaft = 1 : 2
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All 4-stroke engines use 1:2 cam-to-crank ratio. The crankshaft completes 2 rotations per engine cycle (720°).
📐 Golden Ratio (φ) Harmonics
1 : φ : φ² = 1 : 1.618 : 2.618
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The golden ratio (φ = 1.618...) appears in architecture, nature, and harmonic systems. Found in spiral galaxies and seashells.