jackendoff and lerdahl a generative theory of tonal music

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1 Rhythm and Phrasing in Language and Music (part 1) Dicky Gilbers & Maartje Schreuder Paper available on http://www.let.rug.nl/~gilbers /papers http://www.let.rug.nl/~s chreudr/ F aculty of Arts Department of L inguis tics P.O. Box 716 9700 AS Groningen T he Netherlands Structural resemblance between language and music Claim: every form of temporally ordered behaviour is structured the same way Claim: insights of music theory can help out in phonological issues Rate adjustments in language and music: rhythmic variability Outline Jackendoff & Lerdahl (1980) point out the resemblance between the ways both linguists and musicologists structure their research objects Lerdahl & Jackendoff (1983) A Generative Theory of Tonal Music , MIT Press, Cambridge, Massachusetts Synthesis of linguistic methodology and the insights of music theory Jackendoff and Lerdahl Description of how a listener (mostly unconciously) constructs connections in the perceived sounds The listener is capable of recognizing the construction of a piece of music by considering some notes/chords as more prominent than others A Generative Theory of Tonal Music cf. Language Our cognition thus works in a way comparable to how a reader divides a text (often unconciously too) into different parts The research object is structured hierarchically and in each domain the important (heads) and less important (dependents) constituents are defined by preference rules Preference rules determine which outputs, i.e. the possible interpretations of a musical piece, are well-formed A Generative Theory of Tonal Music (Lerdahl & Jackendoff, 1983) Preference Rules Preference rules indicate the optimal interpretation of a piece Preference rules, however, are not strict claims on outputs It is even possible for a preferred interpretation of a musical piece to violate a certain preference rule as long as this violation leads to the satisfaction of a more important preference rule

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Page 1: Jackendoff and Lerdahl A Generative Theory of Tonal Music

1

Rhythm and Phrasingin Language and Music (part 1)

Dicky Gilbers & Maartje Schreuder

Paper available onhttp://www.let.rug.nl/~gilbers/papers

http://www.let.rug.nl/~schreudr/

Faculty of ArtsDepartment of L inguis tics

P.O. Box 7169700 AS Groningen

T he Netherlands

• Structural resemblance between language andmusic

• Claim: every form of temporally orderedbehaviour is structured the same way

• Claim: insights of music theory can help out inphonological issues

• Rate adjustments in language and music:rhythmic variability

Outline

• Jackendoff & Lerdahl (1980) point out theresemblance between the ways both linguistsand musicologists structure their researchobjects

• Lerdahl & Jackendoff (1983) A GenerativeTheory of Tonal Music, MIT Press, Cambridge,Massachusetts Synthesis of linguistic methodology and the

insights of music theory

Jackendoff and Lerdahl• Description of how a listener (mostly

unconciously) constructs connections in theperceived sounds

• The listener is capable of recognizing the construction of a pieceof music by considering some notes/chords as more prominentthan others

A Generative Theory of Tonal Music

cf. Language

• Our cognition thus works in a way comparableto how a reader divides a text (oftenunconciously too) into different parts

• The research object is structured hierarchicallyand in each domain the important (heads) andless important (dependents) constituents aredefined by preference rules

• Preference rules determine which outputs, i.e. thepossible interpretations of a musical piece, arewell-formed

A Generative Theory of TonalMusic

(Lerdahl & Jackendoff, 1983)

Preference Rules

• Preference rules indicate the optimalinterpretation of a piece

• Preference rules, however, are not strictclaims on outputs

• It is even possible for a preferred interpretation of amusical piece to violate a certain preference rule aslong as this violation leads to the satisfaction of amore important preference rule

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• This evaluation system appears to be veryfamiliar to linguists

• In OT well-formedness constraints onoutputs also determine grammaticality

Optimality Theory(Prince & Smolensky 1993)

Potentially Conflicting, Soft Constraints

• In both theories well-formedness constraintson outputs apply simultaneously torepresentations of structures

• In both theories these constraints arepotentially conflicting and they are soft,which means violable

Structuring of the Domains

Tuxedo Junction

motif

section

phrase

Prosodic Construction of a Phrase

x x xx x xx x x x x xMis sis sip pi Del ta

s w s w s w

w s s

w

syllable level

foot level

phrase level

Comparison Preference Rules

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Comparison preference rules 1

• Music (time-span reduction preference rule 1):

Choose as the head of a time-span the chord (orthe note) which is in a relative strong metricalposition (= the first position in a measure)

• Language:

Choose the first σ in a Σ as the head

Arguments for trochaic feet

Mispronunciations: Acquisition data: narcis, parfum

1;6

Comparison preference rules 2

• Music (time-span reduction preference rule 2):

Choose as the head of a time-span the chord (orthe note) which is relatively harmonicallyconsonant (segmental markedness)

• Language (peak prominence):

Choose as the head the heaviest available syllable

Comparison preference rules

• Music (time-span reduction preference rule 2):

Choose as the head of a time-span the chord (orthe note) which is relatively harmonicallyconsonant (segmental markedness)

C > C7 > … > Csus4 > Cdim

C vs C0

• C > Cdim

T im e ( s )0 0 .0 2

-0 . 5

0 . 5

0

F if th C - G

C vs C0

• C > Cdim

T i m e (s )0 0 .0 2

-0 . 5

0 . 5

0

C - G b

Page 4: Jackendoff and Lerdahl A Generative Theory of Tonal Music

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C vs C0

• C > Cdim

T im e ( s )0 0 .0 2

-0 . 5

0 . 5

0

F if th C - G

C vs C0

• C > Cdim

T im e ( s )0 0 .0 2

-0 . 5

0 . 5

0

F if th C - G

C vs C0

• C > Cdim

T i m e (s )0 0 .0 2

-0 . 5

0 . 5

0

C - G b

C vs C0

• wave C+G

T im e ( s )0 0 . 0 9 5 1 5 4 8

- 0 .9 5 3

0 .9 5 3

0

C vs C0

• wave C+Gb

T i m e ( s )0 0 . 0 9 4 5 9 1 3

- 0 . 9 9 8 7

0 . 9 9 8 7

0

Comparison preference rules

• Language:

Peak Prominence: stress the heaviest availablesyllable: CVVC; CVCC > CVC; CVV > CV

ki.dharas.baabreez.ga.rii

sa.mi.tiru.kaa.yaa

aas.maan.jaah

Stress assignment in Hindi: Peak Prom. >> Nonfinality

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Comparison preference rules

• Music (time-span reduction preference rule 7):

Choose as the head of a time-span the chord (orthe note) which emphasizes the end of a group asa cadence

tonic > dominant > subdominant > parallel ...

• cf. Language: Phrasal rule

C7-B

C7-F

cadence

Tonic - Dominant - Subdominant

• Examples of 3 chord songs:mccoys - hang on sloopy (russell & farrell)royal guardsmen - snoopy vs. the red baron (gernhard & holler)rolling stones - get off of my cloud (jagger & richard)grease soundtrack -summer nights (jacobs & casey)any trouble - second choice (gregson)sonics - psycho (roslie)standells - sometimes good guys don’t wear white (cobb)r.e.m.- stand! (buck, stipe, mills, berry)

rare breed - beg, borrow and steal (difrancesco & zerato)kingsmen - louie louie (r.berry)

Time-span reduction

Conflict TSRPR1 - TSRPR7

Mozart: Sonata K.331, I

Time-spans

Conflict

The A6-chord is in a metrically stronger position,but E-chord is harmonically more consonant

constraints → TSRPR 7 TSRPR 2 TSRPR 1

candidates ↓

☛ E

A6 *!

*

*

syllabe

onset rhyme

margin nucleus

pre-m. m.core satellite peak satellite coda app.

k l � k

b r o d

s t u l

First Language Acquisition Data

segmental & positionalmarkedness: same preference

(1;9)

syllabe

onset rhyme

margin nucleus

pre-m. m.core satellite peak satellite coda app.

s x a p

Segmental markedness: /s/ > /x/

Positional markedness: /x/ > /s/

*Complex >> Pos. Markedness >> Segm. Markedness

(2;0)

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Assumption: insights from music theory can help usto describe some problematic cases of rhythmic

variability in phonology

• Question: Does a higher speaking rate leadto adjustment of the phonological structure

or are we only dealing with phoneticcompression?

• Phonetic compression is mainly shortening and mergingof vowels and consonants with preservation of thephonological structure.

Music: Re-/misinterpretation of rhythm inaccelerated or sloppy playing

• Rhythmic restructuring:

dotted notes rhythm → triplet rhythm

120 bpm:

80 bpm:

Language: Re-/misinterpretation of rhythm inaccelerated or sloppy speaking

Zuidafrikaans (andante) Zuidafrikaans (allegro)

Language: Re-/misinterpretation of rhythm inaccelerated or sloppy speaking

Zuidafrikaans (andante)

Zuidafrikaans (allegro)

Language: Re-/misinterpretation of rhythm inaccelerated or sloppy speaking

fototoestel

andante

fototoestel

allegro

Language: Re-/misinterpretation of rhythm inaccelerated or sloppy speaking

Data: bijstandsuitkeringsgerechtigde

studietoelage

tijdsduurindeling

In fast speech it is more important to avoid clashes.

The triplet patterns in fast Dutch speech resemble the

patterns of Estonian rhythm

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• Structural resemblance between language and music(cf. also Lasher (1978), Mallen (2000))

Every form of temporally ordered behaviour isstructured the same way

• Insights of music theory can help out in phonologicalissues

There are different OT-grammars for differentrates and styles of speaking

Conclusion