NDLI: Membership functions in automatic harmonization system

Content Provider	IEEE Xplore Digital Library
Author	Tokumaru, M. Yamashita, K. Muranaka, N. Imanishi, S.
Copyright Year	1998
Description	Author affiliation: Fac. of Eng., Kansai Univ., Osaka, Japan (Tokumaru, M.)
Abstract	We propose fuzzy reasoning to put harmony to melody in automatic harmonization system. We have been considering the following fuzzy sets and membership functions in the system. The system has two fuzzy sets of "conformability between melody and tonality" as the degree of fitness /spl mu//sub A/(y/sub n/) and "conformability between tonality and relative keys" as the degree of fitness /spl mu//sub T/(y/sub n/). The degree of fitness /spl mu//sub C/(y/sub n/) for each tonality is obtained from /spl mu//sub A/(y/sub n/) and /spl mu//sub T/(y/sub n/). The system has two fuzzy sets of "conformability between melody and chord" as the degree of fitness /spl mu//sub Mi/(x/sub m/) and "validity of chord progression" as the degree of fitness /spl mu//sub Pi/(x/sub m/,x/sub i-l/). The degree of fitness /spl mu//sub Qi/(x/sub m/) for chord in melody i section is obtained from M/sub Mi/(x/sub m/) and /spl mu//sub Pi/(x/sub m/, x/sub i-l/). /spl mu//sub Mi/(x/sub m/) is obtained from three membership functions of /spl mu//sub chord-A/(note), /spl mu//sub chord-B/(note) and /spl mu//sub chord-C/(note) which show an importance to each chord in each note, and /spl mu//sub Length/(note) which is a relative importance about an existence time of each note, and M/sub MS/(note) which shows a relative importance. /spl mu//sub Pi/(x/sub m/,x/sub i-l/) is obtained from three membership functions of /spl mu//sub FC/(c/sub m/) which shows an importance of each function chord, and /spl mu//sub FP/(x/sub m/) which shows a strength of the dominant motion of the function chord, and /spl mu//sub S/(x/sub m/,x/sub i-l/) which shows a progression sense between two neighbor chords. It is shown in the good results that the natural chords, which don't break the tonality of the music, are achieved.
Starting Page	350
Ending Page	355
File Size	100616
Page Count	6
File Format	PDF
ISBN	0818683716
ISSN	0195623X
DOI	10.1109/ISMVL.1998.679513
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-05-29
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy reasoning Fuzzy sets Information processing Artificial intelligence Auditory system Shape Genetic algorithms Automatic generation control
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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