Rossing, Thomas D., 1929-
Ph.D. (Doctor of Philosophy)
Department of Physics
The pyeongyeong and the pyeonjong have long been cherished as standard instruments in Korean court music. Pyeongyeong is a set of sixteen L-shaped chime stones and pyeonjong is a set of sixteen oval chime bells. To figure out the acoustical properties of the pyeongyeong and the pyeonjong, the vibrational modes are obtained by using FFT analyzers, accelerometer scanning, TV holography, and impact hammer testing. Especially to test the geometry effects on the tuning, the finite element method is introduced. The pyeongyeong covers one and one third octave from 528.6 Hz to 1262.8 Hz. The nominal frequency of the first stone, whangjong, is 528.6 Hz which is 17.6 cents higher than 523.25 Hz, the frequency of the C5 note in the A440 tempered scale. The second mode is tuned to about 1.5 times the nominal frequency, which means the second partial is tuned to be a perfect fifth above the nominal. The third mode is tuned to about 2.3 times the nominal frequency. Mode shapes of a gyeong from three different methods agree with each other. In most cases, the modes seem to be combinations of bending and torsional motion. The calculated results by using the finite element method show that the ratio frequencies of higher modes rise as the vertex angle of a gyeong changes from 90 degrees to 180 degrees. The curvatures of the baseline affect the tuning of the stone, but the effects are smaller than those of the vertex angle. The geometry of the gyeong affects the tuning of the stone. The pyeonjong covers one and one third octave from 267.95 Hz to 634.74 Hz. The nominal frequency of the first bell, whangiong , is 267.95 Hz. The second mode (i.e. (2,0)[sub b]) is tuned to about 1.09 times the nominal frequency (i.e. (2,0)ₐ) mode. The third mode (i.e. (3,0)[sub b]) is tuned to about 2.62 times the nominal frequency. The fourth mode (3,0), is tuned 2.72 times the nominal frequency, a perfect fourth plus 39 cents above the octave. Mode shapes of the bells, determined by electronic TV holography, are described by m, the number of nodal meridians and n, the number of nodal circles. Like Chinese two-tone bells, the bells in pyeonjong have "a" and "b" modes with the same (m, n) designation. The mode shapes agree very well with the results from former studies.
Yoo, Junehee, "Accoustics of Korean percussion instruments : pyeongyeong and pyeonjong" (2005). Graduate Research Theses & Dissertations. 962.
xviii, 228 pages (some color pages)
Northern Illinois University
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Includes bibliographical references (pages -211).