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Harmonic Resonance
Each natural number as a composite vibration built from its prime factors
Explore
Natural number
−
+
Harmonic decomposition
Compare with:
Composite wave — S
n
(t)
♪ Listen
Frequency spectrum (prime factors)
Resonance — inner product ⟨m, n⟩
Resonance map for n =
12
— colored by R(n, k)