Reed Piano

struck steel reeds, tuned with solder, heard as one plate of a charged capacitor
MIDI off audio off

Slow motion: reed, hammer and pickup slot

Left: the reed from the side (height exaggerated), the hammer below, the comb at the tip. Right: the slot end-on, with the potential solved as the reed moves; the grounded reed draws the field lines from the charged comb, most strongly where they overlap.

Pickup capacitance C(y)

Reed–comb capacitance vs the reed's height above the comb's mid-plane, from Laplace's equation. Band: this strike's swing; line: the rest height. Below: the comb voltage it produces. A swing that reaches over the top of the curve folds the waveform: even harmonics, the bark.

Spectrum

live output · markers: bending modes of C4
Markers: the reed's own bending modes, inharmonic (mode 2 at 6–11 × f₁) and faint after the felt. The harmonics on the faint grid come from the pickup's C(y), not from the reed.

Spectrogram

live output · ticks: the spectrum's markers
The reed's second bending mode (the tick above the note's) dies soon after the strike. The harmonics that remain come from the pickup, so they fade with the fundamental, and a soft note has fewer of them.

Reed C4

This key's reed and its bending modes (FEM): ratio to f₁ beside a bare cantilever's, ring time, and each mode's level at the slot after the last strike.