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Composite Rhythm

Craig Stuart Sapp

Music 254/CS 375B

21 May 2024

https://drive.google.com/file/d/13ywmzOBdvYK2F5KS5qEvwfmZ9Cf1xyg9/view

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Composite rhythm

https://verovio.humdrum.org/?file=chorales/chor001.krn&k=ey&filter=composite%20-u

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Polyrhythm project

https://verovio.humdrum.org/?file=poly

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Suter 1980 polyrhythm examples

https://verovio.humdrum.org/?file=poly/R129

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Composite rhythm of polyrhythmic music

https://verovio.humdrum.org/?file=poly/R129&k=ey&filter=composite

composite

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Polyrhythmic streams

https://verovio.humdrum.org/?file=poly/R129&k=ey&filter=colorgroups

colorgroups

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Polyrhythmic streams (2)

*grp:A

Group A

​

*grp:B

Group B

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Group composite rhythms

https://verovio.humdrum.org/?file=poly/R129&k=ey&filter=composite%20-c%7Ccolorgroups

composite -C | colorgroups

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Group composite rhythms (2)

https://verovio.humdrum.org/?file=poly/R129&k=ey&filter=composite%20-Cg%7Ccolorgroups

composite -Cg | colorgroups

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Coincidence rhythm

https://verovio.humdrum.org/?file=poly/R129&k=ey&filter=composite%20-Cmgc%7Ccolorgroups

composite -Cmgc | colorgroups

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Composite tool documentation

https://doc.verovio.humdrum.org/filter/composite

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Polyrhythm Project website

https://polyrhythm.humdrum.org

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nPVI

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Polyrhythm Project example pages

https://polyrhythm.humdrum.org/example/?id=129

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Other factors for polyrhythm streams

https://verovio.humdrum.org/?file=poly/R389

Igor Stravinsky, Duo Concertant for Violin and Piano (1932)

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Nestedness

composite -Cgxmuc|colorgroups|extract -s 1,2,5,9

https://verovio.humdrum.org/?file=poly/R279&filter=composite%20-Cgxmuc|colorgroups|extract%20-s1,2,5,9

Maurice Ravel,

Rapsodie espagnole

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nPVI examples

0

66.7

176.5

42.9

4.8

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nPVI of Bach Fugue composite rhythms

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Bach Fugues in VHV

https://verovio.humdrum.org/?file=bach-wtc-fugues

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Bach Fugues on Github

https://github.com/humdrum-tools/bach-wtc-fugues

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Lowest composite rhythm nPVI Fugue

https://verovio.humdrum.org/?file=bach-wtc-fugues/wtc2f04.krn&k=ey&filter=composite%20-ul65

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Highest composite rhythm nPVI Fugue

https://verovio.humdrum.org/?file=bach-wtc-fugues/wtc2f20.krn&k=ey&filter=composite%20-ul65

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Downloading fugues

git clone https://github.com/humdrum-tools/bach-wtc-fugues

cd bach-wtc-fugues/kern

ls

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calculating nPVI of fugues

for i in *.krn

do

echo "$(basename $i .krn) $(composite $i | extractx -s1 | npvi)"

done

​

​

control-v tab

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Sorting fugues by nPVI

for i in *.krn

do

echo "$(basename $i .krn) $(composite $i | extractx -s1 | npvi)"

done | sort -n -k 2

​

​