Accession Number : AD0627181

Title :   A TECHNIQUE FOR THE ANALYSIS OF MUSICAL INSTRUMENT TONES,

Corporate Author : ILLINOIS UNIV URBANA ELECTRICAL ENGINEERING RESEARCH LAB

Personal Author(s) : Freedman,Morris David

Report Date : OCT 1965

Pagination or Media Count : 146

Abstract : A technique to analyze the transient part of a musical tone was developed. The analysis was carried out on Illiac II, a high-speed digital computer, the signals being presented to the computer through an analogdigital converter. The analysis procedure consists of four steps: (1) The determination of an adequate mathematical specification for an equation which will represent the sound pressure wave generated by an instrument; (2) The determination of the constants in the equation for a given tone. (No assumption is made regarding the frequencies of the partial tones. Inharmonic partials are detected and accounted for in the specification function.); (3) The verification of the results, both mathematically and by resynthesis of the tone (using Illiac II) to check the adequacy of the representation (The former technique yields a more sensitive measure of error.); (4) Iterating, if necessary, to improve the results. At this stage, the original specification function may be altered, if necessary. A great deal of success was obtained with this scheme and resynthesis has proven to be quite successful. (Author)

Descriptors :   (*SOUND PITCH, MATHEMATICAL ANALYSIS), (*MUSIC, SOUND PITCH), DIGITAL COMPUTERS, ACOUSTICS, HARMONIC ANALYSIS, FOURIER ANALYSIS, APPROXIMATION(MATHEMATICS), INTEGRAL TRANSFORMS

Subject Categories : Humanities and History
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE