#music theory
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What a chord looks like: sound waves, harmonics, and Fourier transforms
A C-major chord is both a complicated pressure wave and an orderly spectrum. Synthetic signals connect those views through harmonics, tuning, beats, and nonlinear mixing—then mark where acoustics stops explaining music.
One note in time and frequency
The same synthetic A4 appears as repeated pressure variation in time and concentrated magnitude at 440 Hz in frequency.
Repeatable, but not blind: a frozen LLM pilot on off-tonic recapitulation
Three frozen command-line model systems repeatedly scored identity-withheld sonata-form dossiers whose focal cases come from Greenberg's 2025 off-tonic recapitulation study — an independent reliability pilot, not a test of his analysis. The pilot measured stability, cross-system agreement, output validity, and elicited repertoire identification before deciding whether the design should expand.