An acoustical study of the qin

Area of Science:

• Musicology
• Acoustics
• Musical Instrument Science

Background:

• The qin (guqin) is a historically significant seven-string Chinese zither associated with high culture and philosophy.
• Its construction is rich in symbolism, yet its acoustical properties remain largely undocumented.
• Traditional qin design involves a paulownia soundboard and catalpa back with two sound holes.

Purpose of the Study:

• To conduct the first published acoustical study of the qin (guqin).
• To analyze the vibroacoustic properties and sound radiation mechanisms of the instrument.
• To provide a scientific understanding of the qin's unique sound production.

Main Methods:

• Performed vibroacoustic measurements on five qin (guqin) instruments.
• Analyzed low-frequency vibration modes, including beam bending and torsional modes.
• Investigated high-frequency radiation using a one-dimensional transmission matrix model for cavity modes.

Main Results:

• Identified distinct sound radiation mechanisms at low and high frequencies.
• Observed coupling between string vibration, wood modes, and cavity air at low frequencies.
• Found that high-frequency radiation is dominated by a dense spectrum of mixed cavity and wood modes.

Conclusions:

• The study elucidates the fundamental acoustic principles governing the qin's sound.
• The findings contribute to the scientific understanding of traditional Chinese musical instruments.
• A one-dimensional transmission matrix model effectively describes the qin's cavity modes at higher frequencies.