Guerino MazzolaU & ETH Zürich

Internet Institute for Music Science

guerino@mazzola.ch

www.encyclospace.org

Signes, pointeurs et schémas de concepts pour la musique

Signes, pointeurs et schémas de concepts pour la musique

• Topographical Orientation

• Signs: Aliquid pro aliquo

• The Babouska-Principle

• Musical Content

• Form Semiotics

• The Hjelmslev Stratification of a Form

Semiotic

• Topographical Orientation

• Signs: Aliquid pro aliquo

• The Babouska-Principle

• Musical Content

• Form Semiotics

• The Hjelmslev Stratification of a Form

Semiotic

prog

ram

topo

grap

hyCommunicationCommunication

Neutral Level

Poiesis

Aisthesis

RealitiesRealities

SignsSigns

Content

PhysicalMen

talPsychic

Signification

Expression

PhysicalMental

topo

grap

hy

Psychic

Zur Anzeige wird der QuickTime™ Dekompressor “GIF”

benötigt.

Harmonic Analysis

SignsSigns

topo

grap

hy

Content

Signification

Expression

Tonal Modulation G G Dur Dur EsEs Dur Dur

„Score Surface“

topo

grap

hyCommunicationCommunication

Aisthesis

Neutral Level

Poiesis

topo

grap

hy

Aisthesis: Listener

Neutral Level: Recording (e.g. CD)

Poiesis: Interpreter

topo

grap

hyCommunicationCommunication

RealitiesRealities

SignsSigns

„„Fireworks“Fireworks“

sign

s

ExpressionExpression SignificationSignification ContentContent

SignSign

aliquid pro aliquo

ExpressionExpression SignificationSignification

ContentContentsign

s

ExpressionExpression SignificationSignification ContentContentsign

s

Bab

ousk

a

Expression Signification Contents

Connotation

ExpressionExpression SignificationSignification ContentContent

„Fireworks“

„Fireworks“ FireworksFireworks

Bab

ousk

aLouis Hjelmslev's Babouska PrincipleLouis Hjelmslev's Babouska Principle

Sign systems are encapsulated systems, Sign systems are encapsulated systems, which in their components are built from which in their components are built from sign subsystems, which in turn are built sign subsystems, which in turn are built from sign subsystems etc. from sign subsystems etc.

Bab

ousk

a

Expression Signification Content

Meta system

ExpressionExpression SignificationSignification ContentContent

Expression Signification Content

Motivation

Expression Signification Content

Connotation

Hjelmslev‘s Babouska PrincipleHjelmslev‘s Babouska Principle

cont

ent

–– ––

EinsatzzeitEinsatzzeitEinsatzzeitEinsatzzeit LautstärkeLautstärkeLautstärkeLautstärke DauerDauerDauerDauerTonhöheTonhöheTonhöheTonhöhe

Makro-NoteMakro-NoteMakro-NoteMakro-Note

Makro-NoteMakro-NoteMakro-NoteMakro-Note

SatellitenSatellitenSatellitenSatellitenAnker-NoteAnker-NoteAnker-NoteAnker-Note

STRGSTRGŸŸ

• OrnamentsOrnaments• Schenker AnalysisSchenker Analysis

Score textScore text ReadingReading Conceived ScoreConceived Score

I

IV

II

VIV

III

VII

Harmonic BandHarmonic Bandco

nten

t

Score text Reading Conceived score

Conceived score Analytical work

connotation

Score form

– –

EinsatzzeitEinsatzzeit

LautstärkeLautstärke

DauerDauer

TonhöheTonhöhe

Makro-NoteMakro-Note

Makro-NoteMakro-Note

SatellitenSatelliten

Anker-NoteAnker-Note

STRGŸco

nten

t

T

dT

T

Z(dT,)

Mother

Daughter

Grand-daughter

co

nten

t

Score form Shaping Performance

Score text Reading Conceived score

Conceived score Analysis

Connotation

Connotation

Score form

„„Tönend bewegte Formen“ (Hanslick)Tönend bewegte Formen“ (Hanslick)

–– ––

OnsetOnsetOnsetOnset

LoudnessLoudnessLoudnessLoudness

DurationDurationDurationDuration

PitchPitchPitchPitch

MakroNoteMakroNoteMakroNoteMakroNote

MakroNoteMakroNoteMakroNoteMakroNote

SatellitesSatellitesSatellitesSatellites

AnchorNoteAnchorNoteAnchorNoteAnchorNote

STRGSTRGŸŸ

cont

ent

PerformancePerformance generates in brain generates in brain emotionsemotions

cont

ent

Score form Shaping Performance

Score text Reading Conceived score

Conceived score Analysis

Connotation

Connotation

Score form

–– ––

OnsetOnsetOnsetOnset

LoudnessLoudnessLoudnessLoudness

DurationDurationDurationDuration

PitchPitchPitchPitch

MakroNoteMakroNoteMakroNoteMakroNote

MakroNoteMakroNoteMakroNoteMakroNote

SatellitesSatellitesSatellitesSatellites

AnchorNoteAnchorNoteAnchorNoteAnchorNote

STRGSTRGŸŸ

Performance generates in brain emotions

Connotation

cont

ent

GeneralNoteGeneralNoteGeneralNoteGeneralNote

–– ––

OnsetOnsetOnsetOnset LoudnessLoudnessLoudnessLoudness DurationDurationDurationDurationPitchPitchPitchPitch

NoteNoteNoteNote

STRGSTRGŸŸ–– ––

DurationDurationDurationDurationOnsetOnsetOnsetOnset

PausePausePausePause

conc

ept m

odel

ing

MakroNoteMakroNoteMakroNoteMakroNote

MakroNoteMakroNoteMakroNoteMakroNote

SatellitesSatellitesSatellitesSatellites

• OrnamentsOrnaments• Schenker AnalysisSchenker Analysis

GeneralNoteGeneralNoteGeneralNoteGeneralNote

–– ––

OnsetOnsetOnsetOnset LoudnessLoudnessLoudnessLoudness DurationDurationDurationDurationPitchPitchPitchPitch

NoteNoteNoteNote

STRGSTRGŸŸ–– ––

DurationDurationDurationDurationOnsetOnsetOnsetOnset

PausePausePausePause

conc

ept m

odel

ing

EE

form

sem

iotic

s

Mono(E E )

RR

DenDen FormsForms

Diagrams (DenDen /E E )Diagrams (DenDen /E E )

Coordinate Identifier

D-Name

F-Name

Form

Type

DiagramTypesTypes

◊

FrameSpace for type:

Simple √ = ◊ RRsimple(simple(√) =) = RR

representationrepresentationrepresentationrepresentation

Limit √ = form-name diagram EElimit(limit(√) = ) = lim(f. diagram lim(f. diagram E E )) conjunctionconjunctionconjunctionconjunction

Colimit √ = form-name diagram EEcolimit(colimit(√) = ) = colim(f. diagram colim(f. diagram EE )) disjunctiondisjunctiondisjunctiondisjunction

Power √ = fn EE power(power(√) =) = Space(fn)Space(fn) collectioncollectioncollectioncollection

fram

espa

ces

nam

espa

ce

Coordinate Identifier

D-Name

F-Name

Form

Type

Diagram

fn ~fn:0@NF(C)

C:0~>NameForm ( 0@M)

NF ~fn:Id.Simple(◊M)

Id: @M @M

Simple

◊M: ◊ ~> @MM = ŸUNICODE

◊

Name Type/Diagram Identifier

Name Form Coordinate

DenotatorDenotator

Toposform

sem

iotic

s