: Undercutting can lower the cutoff frequency (darkening the sound) while allowing the fundamental pitch to be tuned as if the hole were larger.
[ \Delta L \approx \frac83\pi \cdot \fraca^2b ]
When a player blows into the instrument, they create standing waves within this column. The length of this vibrating air determines the pitch: a longer column vibrates at a lower frequency, while a shorter one produces a higher pitch.
: Undercutting can lower the cutoff frequency (darkening the sound) while allowing the fundamental pitch to be tuned as if the hole were larger.
[ \Delta L \approx \frac83\pi \cdot \fraca^2b ] : Undercutting can lower the cutoff frequency (darkening
When a player blows into the instrument, they create standing waves within this column. The length of this vibrating air determines the pitch: a longer column vibrates at a lower frequency, while a shorter one produces a higher pitch. : Undercutting can lower the cutoff frequency (darkening