Spa al Programming for Musical Representa on and Analysis

Louis Bigo

Description

Spa?al  Programming  for   Musical  Representa?on  and  Analysis   Louis Bigo & Antoine Spicher & Olivier Michel mgs.spatial-computing.org LACL, University Paris Est Créteil LIFO, University of Orléans – Mai 23-24, 2011  

• mgs  main


• ng   o?


•  representa


• n?? conclusion


• n?? topological  collec


•  for  music


• compute  in


•  language  for

Sujets

• Michel

Informations

• Publié par: pefav
• Nombre de lectures: 29
• Langue: English
• Poids de l'ouvrage: 4 Mo

Extrait

Spa alProgrammingfor
MusicalRepresenta onandAnalysis
Louis Bigo & Antoine Spicher & Olivier Michel

mgs.spatial-computing.org
LACL, University Paris Est Crétei l
LIFO, University of Orléans – Mai 23-24, 2011Context
n  Spa alcompu$ng
o  Computeinspace
o  Computespace
n  MGS:aprogramminglanguageforspa alcompu$ng
o  Introduc$onoftopologicalconceptsinaprogramming
language
o  Twomainprinciples
n  Datastructure:topologicalcollec$on
n  Controlstructure:transforma on
n  Musicalanalysis
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis Outline
n  BackgroundonMGSspa al-compu$ng
n  Musicandspa alcompu$ng
Spaceformusicalrepresenta on Spaceasmusicalrepresenta on
n  Conclusion
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis Outline
n  BackgroundonMGSspa al-compu$ng
n  Musicandspa alcompu$ng
Spaceformusicalrepresenta on Spaceasmusicalrepresenta on
n  Conclusion
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis MGSMainConcepts
n  Topologicalcollec$ons
o  Structure
n  Acollec onof topologicalcells
0-cell 1-cell 2-cell 3-cell
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis MGSMainConcepts
n  Topologicalcollec$ons
o  Structure
n  Acollec$onoftopologicalcells
n  Anincidencerela/onship
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis MGSMainConcepts
n  Topologicalcollec$ons
o  Structure
n  Acollec$onoftopologicalcells
n  Anincidencerela onship
o  Data:associa onofavaluewitheachcell
4.005«LACL»
2
1
λx.(…x…) `foo
‘a’
«MGS»
λx.0
5
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis MGSMainConcepts
n  Transforma ons
o  Func$onsdefinedbycaseoncollec$ons
Eachcase(pa ern)matchesasub-collec$on
o  Definingarewri$ngrela onship: topologicalrewri/ng
Sub-collection
TransT={ Sub-collection Topological rewriting

pa ern èexpression 1 1
…
pa ern èexpressionn n

}
Transformation
Topological collection Topological collection
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis Outline
n  BackgroundonMGSspa al-compu$ng
n  Musicandspa alcompu$ng
Spaceformusicalrepresenta on Spaceasmusicalrepresenta on
n  Conclusion
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis Neo-RiemannianProblema c
n  Tradi$onalwesternmusicrepresenta on
o  Basedontheuseofastaff
o  Maindrawbacksforvisualiza onofharmony
n  Contrapuntalproximity
Thespa aldistancebetweennotesisnotrelevantforharmonicpurpose
n  Spa allyclosepa ernscansoundverydifferent
n  Neo-Riemannianrepresenta onofmusic
o  Graphicalrepresenta onofharmonyrules
o  Consonanceusedasagraphicalcriterion
Twonotesthatsoundwellmustbespa allyclose
NWC2011-Spa alProgrammingForMusicRepresenta onandAnalysis