Resonator length and end condition alone determine flue pipe pitch

Evidence

When the action of the resonator on the air reed sound source in a flue organ pipe is considered (see Figure 4.14), it is found that the f0 of air reed vibration is entirely controlled by: (a) the length of the resonator, and (b) whether the pipe is open or stopped. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1184

Categorization

Category: Causal Relationships

• DEFINE: Establishes the core tuning principle for flue organ pipes.

Related

• Air reed pitch is set entirely by resonator length and pipe openness. (similarity 0.92)
• The air reed’s fundamental frequency is set solely by resonator length and end condition (similarity 0.85)
• Reed pipes behave as stopped-end resonators, unlike open-ended flue pipes (similarity 0.85)
• Pipe length sets pitch while diameter and material shape harmonic strength (similarity 0.85)
• Raising airflow or lowering the cut-up makes flue pitch jump discontinuously (similarity 0.83)
• Wide organ pipes suppress upper harmonics in their output (similarity 0.81)
• Flute tone arises from jet instability locked to tube resonances (similarity 0.81)
• Upward note bending fails because airflow cannot reinforce both resonances at once (similarity 0.81)
• Increasing flue airflow makes pitch jump upward in discrete overblown steps (similarity 0.81)
• Flue languid height precisely governs pipe speech timing and stability (similarity 0.81)
• Organ pipe resonator shape follows construction convenience more than acoustics (similarity 0.80)
• Woodwind flue instruments act acoustically as pipes open at both ends (similarity 0.80)
• In organ reed pipes the resonator does not control the reed’s frequency (similarity 0.80)
• Open and stopped organ pipes correspond to open-open and open-closed acoustic tubes. (similarity 0.80)
• An open pipe’s fundamental period equals twice its length divided by wave speed (similarity 0.80)

Broader Connections

• Pipe length sets pitch while diameter and material shape harmonic strength #corroborates (0.95)