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Guide to Schillinger's Theory of Rhythm.pdf

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  Guide to theTheory of Rhythm Schillinger System of Musical Composition Version 1.1F.G.J. AbsilSeptember 2006 cccccccccccccccccccccccccccœœœœœœœœœœœœ y  œœœœœœ Œ Œf Œf Œf œœ œœ .. n.. . . .. E b 713/  # 11 œœœœœœœœœœœœ Œ  y y y y y Œf æœ nn œœnœœœœœœ..œœœœœ. fœœœœ.fœœœœ. a 2 œœœœ. œœ œœ| E b 713/  # 11 œœœœ.Œœ Y æœæœæœœœœ. Suspended cymbal f ˙ æ    Preface This booklet is a guide to help you understand Book I  The Theory of Rhythm   from  The Schillinger System of Musical Composition  [3].Each chapter from the srcinal book will be commented upon andexamples will be presented and discussed.This document was created using the public domain L A TEX computertypesetting program.The navigation links (printed in red) in the Adobe Acrobat Readerfile (the  pdf -file) were created using the  hyperref  package fromthe L A TEX distribution. Document status :Vs. 1.1 Chapter 1 to 4 completed (text plus figures), Ch. 6 text only.c  2006 F.G.J. Absil, the Netherlands.URL:  http://www.fransabsil.nl ii  First / Previous / Next /  Last / Close  Contents List of Figures ivList of Tables v1 Notation system 1 1.1 Graphing Music . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 Forms of Periodicity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Interference of periodicities 3 2.1 Binary synchronisation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32.1.1 Uniform binary synchronisation . . . . . . . . . . . . . . . . . . . . . . . . 32.1.2 Non-uniform binary synchronisation . . . . . . . . . . . . . . . . . . . . . . 42.2 Grouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92.2.1 Grouping by the common product . . . . . . . . . . . . . . . . . . . . . . . 92.2.2 Superimposition of   a  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102.2.3 Superimposition of   b  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102.3 Characteristics of the resultant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 The techniques of grouping 124 The techniques of fractioning 15 4.1 The process of fractioning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154.1.1 Fractioning group:  3 ÷ 2  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154.1.2 Fractioning group:  5 ÷ 2  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164.1.3 Fractioning group:  5 ÷ 3  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164.1.4 Fractioning group:  5 ÷ 4  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164.1.5 Fractioning group:  6 ÷ 5  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174.1.6 Fractioning group:  7 ÷ 4  . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174.2 Grouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 5 Utilization of three or more generators 20 5.1 The technique of synchronisation of three generators . . . . . . . . . . . . . . . . . 205.1.1 Interference group:  2 ÷ 3 ÷ 5  . . . . . . . . . . . . . . . . . . . . . . . . . 215.1.2 Interference group:  3 ÷ 4 ÷ 7  . . . . . . . . . . . . . . . . . . . . . . . . . 215.2 Grouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Index 23 iii  List of Figures 2.1 The natural nucleus of a musical score . . . . . . . . . . . . . . . . . . . . . . . . . 113.1 Grouping of non-uniform interference patterns . . . . . . . . . . . . . . . . . . . . . 133.2 Grouping of non-uniform interference patterns (continued) . . . . . . . . . . . . . . 144.1 Grouping of fractioning patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19iv

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Jan 10, 2019
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