Resonator shape determines which harmonics a wind instrument emphasizes

Evidence

The saxophone spectrum contains all harmonics since its resonator is conical. The clarinet spectrum exhibits the odd harmonics clearly as its resonator is a cylindrical pipe closed at one end (see Figure 4.18), but there is also energy clearly visible in some of the even harmonics. Although the resonator itself does not support the even modes, the spectrum of the sound source does contain all harmonics (the saxophone and the clarinet are both single-reed Clarinet FIGURE 4. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1228

Categorization

Category: Causal Relationships

• XREF: Connects to the reader’s Worldbuilding/audio interests—resonator physics explains why clarinet and saxophone differ despite shared reed source.
• SEED: A potential audio-design angle: how resonator geometry (conical vs. cylindrical) shapes timbre, applicable to understanding why instruments in the same family sound so different.

Related

• Even harmonics appear in clarinet sound despite its closed cylindrical resonator (similarity 0.88)
• Reed excitation injects all harmonics even when resonator rejects even modes (similarity 0.88)
• The source excites all harmonics even when a resonator only supports odd ones. (similarity 0.86)
• Clarinet even harmonics are attenuated, not absent, from the spectrum. (similarity 0.82)
• Tube termination conditions determine which harmonics a wind instrument produces (similarity 0.81)
• Even harmonics in clarinet tones are suppressed but not absent from the spectrum (similarity 0.81)
• Good wind instruments align tube resonances onto each partial of the drive note (similarity 0.81)
• Tube end conditions determine which harmonic partials an instrument produces (similarity 0.81)
• Wind instrument resonances resist aligning into a harmonic series because of impedance-mismatch reflections. (similarity 0.80)
• Spectra of only odd harmonics produce a clarinet-like timbre (similarity 0.80)
• Wind-instrument harmonic phases are set by resonant pulse enhancement, not chance. (similarity 0.79)
• Cylindrical stopped pipes support only odd-numbered modes, making instruments sound an octave lower (similarity 0.79)
• A wind instrument’s playability depends on how many of its harmonics align with resonances. (similarity 0.78)
• Instrument bodies act as coupled resonators that shape and radiate sound (similarity 0.78)
• A cylindrical half-open tube missing all even partials produces the clarinet’s hollow tone (similarity 0.78)