APL applied in music theory

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APL applied in music theory

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International Conference on APL archive
Proceedings of the international conference on APL table of contents

Sydney, Australia

Pages: 209 - 214

Year of Publication: 1987

ISBN:0-89791-253-5

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Author

M. Kassler

Michael Kassler and Associates Pty Limited, McMahons Point, Australia

Sponsor

SIGAPL: ACM Special Interest Group on APL Programming Language

Publisher

ACM New York, NY, USA

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REFERENCES

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	1	The explication of Schenker's theory of tonality was begun in my PhD thesis A Trinity of Essays (Princeton University, 1967, available through University Microfilms Inc.). Here functions were systematically derived and presented in the mathematical form of primitive-recursive functions rather than in a programming language.
	2	For information about the explication of A. F. C. Kollmann's theory of tonality which has been going on in parallel, see my article "Transferring a Tonality Theory to a Computer", International MusfcologicaZ Society, Report of the 12th Congress, BerkeZey 2977 (Kassel, Barenreiter, 19811, PP. 339-347. The decidability result mentioned is contained in my article "The Decidability of Languages that Assert Music", Perspectives of New Music. vol. 14-15 (1976). pp. 24g-251.