A TECHNIQUE FOR THE ANALYSIS OF MUSICAL INSTRUMENT TONES,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1965
- Accession Number
- AD0627181
Entities
People
- Morris David Freedman
Organizations
- University of Illinois Urbana–Champaign