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Evoking Harmony via Convolution

2026-08-28 20:41:51
Michael Gogins

Abstract

I show how to evoke the pitch-class content of a chord from an arbitrary source sound by convolving the source with an impulse response whose grains are one windowed sinusoid per pitch-class, across each octave of hearing range; while, at the same time, minimizing artifacts. A Csound user-defined opcode, chord_convolver, mixes a dry Dirac component into that response, and applies partitioned convolution once. I contrast the effect with a linear-frequency comb filter and with a generic constant-Q resonator bank, and I demonstrate musical use on a twilight field recording alongside the ruins of Chateau de Lagarde.

Abstract (translated)

URL

https://arxiv.org/abs/2608.28851

PDF

https://arxiv.org/pdf/2608.28851.pdf


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