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Tracking Harmonics and Artifacts in Spectra Using Sinusoidal and Spiral Maps

A technique for tracking a harmonic series in a spectrum using a combination of sinusoidal and spiral maps is described. The spiral map enhances patterns that appear when a sinusoid is sampled near the Nyquist rate. The correspondance between the maps facilitates derivation of properties and motivates the use of curves that cut across the sinusoid or spiral. As an application, the spatial separation of a specific musical pitch from an artifact is demonstrated.

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