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PostnasalVoicing BruceHayesTanyaStivers UniversityofCalifornia,LosAngeles Draft:June2000 Abstract Manyoftheworld’sdisplayaphoneticpatternwherebyappearas voicedwhenfollowinganasal.Thisarticleproposesaphoneticmechanismthatfavors postnasalvoicing.Themechanismisbasedontwoeffects,whichsometimesreinforce,and sometimescontradicteachanother.Oneeffectis“nasalleak,”theleakageofairthroughanearly closedvelarportduringthecoarticulatoryperiodbetweenanoralandanasal.Theother is“velarpumping,”whicharisesfromtheverticalmotionofaclosedvelum. Themainpurposeofthearticleistotestthisproposal,intwoways.First,acomputational simulationofvocaltractaerodynamicsisusedtoshowthat,underarangeofplausible assumptions,themechanismspositedwouldindeedproduceasubstantialphoneticeffectinthe directionofpostnasalvoicing.Second,measurementswerecarriedoutoftheproductionsof5

nativespeakersofEnglishproducingstopsinacontrolledcomparisoncontext(postnasal/

¡ ¡

[ tam___ ]vs./postoral[ ta ¢ ___p ]).Theresultsindicatethatpostnasalvoicingpresentasa quantitativeeffecteveninawhoselacksaqualitativepostnasalvoicing process.

1. Introduction

Manyoftheworld’slanguagesdisplayaphoneticpatternwherebyobstruentsappearas voicedwhenfollowinganasalconsonant(Ferguson1975).Forexample,inWembawemba (Hercus1986),theresinglephonemicseriesofstops,whichnormallyappearsasvoiceless(1)a,

butisvoicedpostnasally(1):

(1)a. /taka/ [ tak £ ] ‘tohit’

£

/milpa/ [ m¤ lp ] ‘totwist’

b. /yantin/ [ yand ¤ n] ‘me’

/panpar/ [ panb £ r] ‘shovel’ HayesandStivers APhoneticAccountofPostnasalVoicing p.2

Thepatterniswidespread;herearesomelanguagesthatshowpostnasalvoicing;welistalso thepagesfromoursourcematerialwherepostnasalvoicingisdiscussed.

(2)Arusa(Levergood1987,204) EasternArmenian(Allen1951,202-3) Japanese(ItoandMester1986) ModernGreek(Newton1972) Waorani(SaintandPike1962,xxx) WesternDesertLanguage(Douglas1958,3) Zoque(Wonderly1951,xxx) ManyofthelistingsinwerelocatedbyLocke(1983),whocheckedthe197languagesofthe StanfordUniversalsProject,andfound15withspecificallypost-nasalvoicing.Totheextentthat theStanfordsampleisrepresentative,itisplausibletoconcludethatpostnasalvoicingisfoundin anon-negligeablefractionoftheworld’slanguages. Postnasalvoicinghasbeentheofrecenttheoreticaldiscussioninphonology.Itoet al.(1995)treattheprocessasakindof,wherebythevoicingofthenasalperseverates (spreads)tothefollowing,despitethefactthatvoicingonnasalsintherelevant languagesischaracteristicallynotphonologicallycontrastive.Theyproposeaningenious mechanismforpermittingsuchassimilationswhileretainingunderspecifiedphonological representations. Pater(1995,1996)findsfaultwiththeItoetal.account.Henotes,amongotherthings,that Itoetal.’stheorywouldpredictthatobstruentsprecedingnasalswouldbelikelytobevoicedas well.Infact,inthedataPaterexamines(aswellasintheexampleswehaveseen),thisdoesnot occur.1Patersuggeststhatthebasisofpostnasalvoicingislikelytobephonetic,andprovides someoutlinesuggestionsalongtheselines. Thepurposeofthisarticleistoexploretheofpostnasalvoicingingreaterdetail. Wediscusstwopossiblemechanismsthat,incombination,mightbeexpectedtoyieldthe typologicalpatternjustnoted.Thearticlehastwoparts.First,wewilltesttheproposed mechanismsbymeansofaerodynamicmodeling.Second,weattempttoestablishthataphonetic tendencytowardpostnasalvoicingispresenteveninalanguage(AmericanEnglish)thatlack postnasalvoicinginitsphonology.Wewillsuggestthattogether,ourresultssupportaviewof phonologicalpostnasalvoicingthatistiedfairlydirectlytoitsphoneticorigins.

1Obstruentsareoccasionallyvoicedbeforenasals,asinxxx,butinallsuchexampleswehaveseen, theyarevoicedbeforeothervoiced(e.g.,liquids)aswell.Thissuggeststhatinsuchcases,the casualmechanismforvoicingisnotcloselyconnectedtonasality.Incontrast,forthepost-nasalcases, thereareafairnumberofinstancesinwhichitisonlynasalthatcaninducevoicing. HayesandStivers APhoneticAccountofPostnasalVoicing p.3

2. ReviewoftheMechanismsofObstruentVoicing

TheconditionsunderwhichobstruentswillbevoicedhavebeenexaminedbyWarren(1976), Ohala(19xx),Westbury(1979,1983),WestburyandKeating(19xx),amongothers.According toWestbury(19xx,1),“voicingobtainsinwhenthevocalfoldsareproperlyadductedand tensed,andasufficienttransglottalairflowispresent.Theabsenceofvoicingobtains,by contrast,whenatleastoneoftheseconditionsisnotmet.” Inobstruents,themaintenanceoftransglottalairflowisinparticularperil,sincetheexitofair fromtheoralchamberispartiallyorfullyblocked.Thisblockageleadstoarapidbuildupof supraglottalairpressure,hencetothecessationoftransglottalairflowandofvoicing.Voicingis prolongedifthebuildupisavertedorsufficientlydelayed.Anumberoffactorsdetermine whetherthiswillhappen: PharyngealExpansion.Voicingisfavorediftheisexpandedduringthecourseof anobstruent.Thisisbecausesuchexpansionpermitsmoreairtopassthroughthe,sothat thetimeduringwhichthereissufficientpressuredropacrosstheglottisisextended.Expansion ofthepharynxcantakeplacebyappropriatemovementsoftheroot,the,andthe pharyngealwalls(Westburyxxx). SubglottalPressure.Wheresubglottalpressureislower,thepressuredropacrossthe glottisisreduced,anddevoicingwillbefavored.Typically,subglottalpressurerespondsto utteranceposition,beingfairlyconstantutterance-mediallybutloweratutterancebeginningsand especiallyendings.Thisgivesrisetoatendencyforlanguagestoemployonlyvoiceless obstruentsinutterance-final(andtoalesserextent)utterance-initialposition(Westburyand Keating1986). VocalFoldAdjustments.Abductionofthevocalfoldswillingeneralleadmorerapidlyto acessationofvoicing.Thisisdueinparttothelesserpropensityofthevocalfoldstovibrate whenabducted,andinpartobstruents)tothefactthatabductedvocalfoldswillpermitafaster buildupofairpressureintheoralcavityandthusblockvoicingsooner.Itisprobablyforthis reasonthataspiratedstopsaretypicallyvoiceless;voicedaspiratesrequireparticularadditional mechanisms(Rothenberg1968);(Dixit19xxUCLAWPP)topreservevoicing.HalleandStevens (1971),basedonacomputationalmodelofthevocalfolds,arguethatastiffeningofthevocal cordswilllikewisediscouragevoicing.[xxxread] PlaceofArticulation.Placesofarticulationnearerthefrontofthemouthprovidelarger surfacesofsofttissueinthevocaltractwalls,theyieldingofwhichpermitsmoreairtobe accommodatedsupralaryngeallybeforevoicingwouldbesuppressed.[xxxrefs.] Velum-RelatedFactors.Therearetwofactorsinvoicingcontrolthatinvolvethevelum andthuswillplayacrucialroleinthediscussionhere. (a)NasalLeak.Atthehighestrangeofpossiblevelumheights,thevelarportisfullyclosed, andanylinguisticsoundresultingwillbefullynon-nasal.Whenthevelumissufficientlylowered, HayesandStivers APhoneticAccountofPostnasalVoicing p.4 thevelarportissufficientlyopensothatanylinguisticsoundproducedwillbefullynasal.In addition,thereareintermediatevelumpositionsinwhichair“leaks”throughthevelarport,but thereisnosignificantacousticcouplingbetweenthenasalandoralcavities.Asoundmadewith “nasalleak”willsoundoral,2andpresumablyshouldbeclassifiedphonologicallyasoral. Rothenberg(1968),and,tentatively,KentandMoll(1969)xxxhaveclaimedthatnasalleakisa mechanismusedbysomespeakersinmaintainingvoicinginobstruents.Ohala(1983xxx) suggeststhatnasalleakmaybethelinkwherebycertainvoicedstopshavehistoricallyevolved intoprenasalizedstopsornasal+stopsequences,inwhichthenasalityhasbecomeacoustically patent.Theinteractionofnasalleakwithnasalisdiscussedfurtherbelow. (b)Velum.Bell-Berti(1975)andBell-BertiandHirose(1975)haveobservedan additionalfactorthatcaninfluencethevoicingofaconsonant.Tounderstandthis,onemust consideranimportantaspectofvelaranatomy,describedasfollowsbyBell-Berti(19xx,video; italicsours):“Thereisawell-establishedrelationshipbetweenthesizeoftheopenvelarportand thepositionofthevelum.Inaddition,though,tovaryingwithportarea,velarpositionalsovaries whentheportiscompletelyclosed.Theseadjustmentsresultfromtheanatomicalrelationship betweenthevelumandthelevatorpalatinimuscle.Sincethemuscle’ssuperiorattachmentlies wellabovethelevelatwhichportclosureiscomplete,increasingofthismuscle continuestoraisethevelumevenafterclosurehasoccurred.”Ourinspectionofvarious cinefluorographicfilmskeptintheUCLAPhoneticsLaboratoryconfirmsBell-Berti’s observations,atleastinsofarassuchinspectioncandeterminethepointofvelarclosure(Bjørk 1961). ThemovementsthatBell-Bertidescribesareinprinciplecapableofchangingthevolumeof theoralcavity,increasingitasthevelumrisesanddecreasingitasthevelumfalls.Sincechanges inoralcavitysizeinfluencevoicing,thismechanismisthusasecondpotentiallink(afternasal leak)betweenvoicingandvelummovement. Afactorthatincreasesthelikelihoodofvelumraisinginfluencingvoicingisthatobstruents typicallyhavethehighestvelumpositionsofallsegments,usuallyhigherthanoralsonorants (Bell-Berti19xx).Thereasonforthispatternisnotknown,butthepatternisapparentlyrobust. Theexperimentaldataonwhetherraisingoftheclosedvelumisactuallyusedbyspeakersto maintainobstruentvoicingiscontradictory.Studiesinwhichvoicinginobstruentswasapparently facilitatedbyvelumraisingincludePerkell(1969;discussedinBell-Berti19xx),Bell-Berti(19xx; xx),Bell-Bertietal.(1979)andHiroto,HiranoandUmeno(1963).However,equalorhigher velumpositionsforvoicelessobstruentshavebeenobservedbyWestbury(1979,1983)andby xxx.Ourinteresthere,however,concernsnotwhethervelumraisingisalwaysusedasa mechanismofvoicingcontrol(itprobablyisnot),butratherthedistinctissueofwhether,given velumraising,voicingwillbefacilitated.Inthecontexttobeconsideredbelow,velumraising maybetakenasgiven,asitiscoarticulatoryinorigin.

¡ ¡ ¡ ¡ ¡ 2 ¡

Wefindthatwecanproducea“syllabicb”([b ])whichsoundsreasonablynon-nasalandcanlast aslongastheairsupplyholdsout.Sincethereisnowhereelseforthismuchairtogo,itseemsclearthat nasalleakmustberesponsibleforthemaintainanceofvoicing. HayesandStivers APhoneticAccountofPostnasalVoicing p.5

3. VelumRaising,Voicing,andNasality

Turningtoobstruentsintheenvironmentofnasalconsonants,wecannowattempttopredict whatmutualinfluencesmightoccuronthebasisofthemechanismsjustoutlined.Bell-Berti (19xx),xxx,andotherstudiesofvelarmotionhaveshownthattherearesubstantialcoarticulatory effectsatthephonetictransitionbetweenanoralandanasalsegment.Inparticular:(a)the portionofthenasalwhichisadjacenttoanoralsegmentwillbearticulatedwithhigher-than-usual velumposition;and(b)thatportionoftheoralsegmentwhichisadjacenttothenasalwillbe articulatedwithlower-than-usualvelumposition. Undertheseconditions,weexpectthatnasalswouldtendtoinducevoicingonaneighboring obstruent.Inparticular,ifthecoarticulatoryloweringofvelumpositionduring(allorpartof)the obstruentissufficienttoachieve“nasalleak”(inthedescribedabove),thenvoicingforthe obstruentwillbefacilitated. ThismechanismhasbeendiscussedbyOhalaandOhala(1991),inanaccountofthe formationofphoneticprenasalizedstopsfollowingnasalizedinHindiandFrench.The Ohalasobservethatthisisonlypossibleinvoicedstops,andattributethedifferencetonasalleak: “voicelessstopshavelesstolerancefor[nasal]leakagebecauseanynasalsound—voicedor voiceless—wouldundercuteithertheirstoportheirvoicelesscharacter”(p.xxx). Weassertedabovethatwhilepostnasalvoicingisabundantlyattested,casesof(specifically) prenasalvoicingapparentlydonotoccur.Thisasymmetryisdifficulttoexplainsolelyonthe basisofvelarcoarticulationandnasalleak,whichshouldinprincipleworkineitherdirection. Oursuggestionisthattheasymmetryarisesfromtheadditionalfactorof(expansion/contraction) ofthesupralaryngealcavity,causedbythe(rise/fall)ofaclosedvelum,discussedabove.Wewill considerbothpostnasalandprenasalobstruents. (a)Nasal+Obstruent.Weassumethatduringthenasal,thevelumwilltypicallyberising, proceedingfromthelowpositioncharacteristicofnasalstothefullyraisedpositionthatis characteristicofobstruents(Bell-Berti1993).Weassumethattheobstruentbeginsatapointthat maybeperceptuallydefined,namely,wherethevelumhasrisenhighenoughtodecoupletheoral andnasalchambersacoustically.Inourstudies(describedbelow),thispointcorresponds(inthe caseofnasal-stopsequences)toafairlysalientacousticboundary,thelossofvirtuallyallenergy aboveabout500hz.Duringthecourseoftheobstruent,theriseofthevelumwouldnormally yieldthreesignificantphases,asfollows:

(3)Post-NasalObstruents i.Initially,thevelumisonlyjusthighenoughtodecoupletheoralandnasalchambers. Sincethislevelisshortof fullvelicclosure,nasalleakwillbepresent,andvoicingis facilitated. ii.Thevelumishighenoughtocutoffnasalleak.However,itcontinuestorisetowardthe highpositioncharacteristicofobstruents,sothevolumeoftheoralcavityisexpanded, andvoicingisfacilitated. HayesandStivers APhoneticAccountofPostnasalVoicing p.6

iii.Thevelumisinafullyraisedposition.Ifthestoparticulationcontinuesbeyondthispoint, anyvoicingmustbepreservedbyothermechanismsnotedaboveinsectionxxx. Theupshotisthattwomechanisms,namelynasalleakandvelumraising,facilitatevoicingin thiscontext. (b)Obstruent+Nasal.Here,thevelumwillfall,fromthehighpositioncharacteristicofan obstruenttothelownasalposition.Thethreephasesareasfollows.

(4)Pre-NasalObstruents i. Thevelumishigh,andhasnotyetbegunitsdescent.Therewillbenonasalleakto encouragevoicing. ii. Thevelumishighenoughtoblockanypassageofairthroughthenasalport.Moreover, itisdescending,compressingthesupralaryngealcavity.Thelatterfactorimpedes voicing. iii. Thevelumhaspassedthepointatwhichnasalleakbecomespossible.Atthispoint,the factorsarereversed:nasal leakshouldencouragevoicing. Thesituationhereisthusmorecomplex,withavoicing-inhibitingfactorshortlyfollowedby avoicing-enhancingfactor. Whatdifferentiatesthetwocases((3)and(4))isthatinnasal+obstruentclusters,rarifaction fromcoarticulatoryvelumraisingfacilitatesvoicing;whereasinobstruent+nasalclusters, compressionfromcoarticulatoryvelumloweringfacilitatesdevoicing.However,thetwocases arenotmirrorimages:inboth,nasalleakfacilitatesvoicing.Qualitatively,then,wecanseethe basisofapossibleexplanationofpostnasalvoicingtypology:inthepostnasalenvironment,two factorsworktogethertoencouragevoicing;intheprenasalenvironment,thetwofactorsare mutuallyopposed;andinfullyoralenvironmentnoparticularfactorispresenttofavorvoicing. Themechanismsdiscussedherethuscouldinprincipleleadtoapreferenceforvoicinginjustthe postnasalposition,whichmatchesourcross-linguisticfindings.

4. ModelingtheFactors

Theabovequalitativescenariocantestedbyexaminingthebehaviorofanquantitative aerodynamicvocaltractmodel,towhichsuitablearticulatorymovementfunctionshavebeen supplied.Inthissection,wediscusstheresultsofsuchmodeling. Themodelwehaveemployedisaversionofthecircuit-analogvocaltractmodeldevisedby Rothenberg(1968)anddevelopedinsoftwareimplementationsbyMüllerandBrown(1980), Westbury(1983),Keating(1983,1984),andWestburyandKeating(1986);the Westbury/Keatingimplementationisemployedhere.Themodelinputsthefactorsthatdetermine pressuresandflowsthroughthevocaltract,andcomputesthetimecourseofsubglottalpressure, HayesandStivers APhoneticAccountofPostnasalVoicing p.7 transglottalflow,oralpressure,andoralflow.Keating(1984)servesasamanualfortheversion oftheprogramthatweused;andwefollowedmanyofthedefaultparametervalues(takenfrom earlierliterature)thatitprovides. Wehavemodeledthreephoneticsequences,employingthebilabialplaceofarticulation:

(5)a. nasal+stop: /VmPV/ b. stop+nasal: /VPmV/ . intervocalicstop:/VPV/ Intheschematagivenabove,//standsforanindeterminate./P/representsabilabial stopthatemergeswithvaryingdegreesofclosurevoicingandonsettime,dependingonthe settingsinputtothemodel.Comparisonof/VmPV/with/VPV/teststhedifferencebetweena precedingnasalvs.aprecedingoral.Comparisonof/VmPV/with/VPmV/teststhe effectoforderingthenasalbeforeoraftertheconsonant.

4.1Inputs

Theinputstothemodelweredeterminedasfollows. SegmentDurations:Stopswereassumedtolastfor100ms,nasals75ms.Thefirstvowel inthe/VPV/configurationwasgivenadurationof100ms.,longenoughtostabilizeits aerodynamicbehaviorfromtheinitialconditions. SubglottalFactors:Weassumedthattherelevantsequenceswereutterance-medial.Under thisassumption,expiratoryforcecouldbeassumedtoberoughlyconstantovertime(Westbury andKeating1986).Thedefaultvaluesoftheprogramforfactorsgoverningexpiratoryforce wereadopted. VocalTractWallsandVolume:Valuesforthesefactorsforbilabialsandforotherplaces ofarticulationmodeledbelowweretakenfromKeating(1984,24-5),adoptingthe“default case—wallsliketensecheeks”option. GlottalOpening:Weexaminedthreepossibilities:(a)Aninvariantaverageglottalopening of.022cm;thiscloselyadductedsettingtendstofavorvoicing.(b)Aglottal-opening withspreadingfroma.022cmbaselinetoamaximumof.044cm.Theshapeofthiscontourand itstimingrelativetothestopwerecloselysimilartothepatternshowninTableBIIA(11-14)of MüllerandBrown(1980).(c)Amorevigorousglottalopeningto.088cm,withthesame contourshapeandtimingasthepreviouscase.Notethatallthreedegreesexaminedfallshortof glottalopeningstypicallyobservedinaspiratedstops,whichwouldbeintherangeof.180cm (Keating1984,25). [xxxTheseshouldperhapsbegivenasareas:.044,.088,.176,.360cm2) OralClosure:Constrictionsizesforlabial,alveolar,andvelarclosuresweretakenfrom Keating(1984,24-25).WeassumedtemporaltransitionsfororalclosuretakenfromMüllerand Brown(1980,Fig.B1). HayesandStivers APhoneticAccountofPostnasalVoicing p.8

NasalLeak:Acriticalvalueinmodelingnasal-stopinteractionsisthedegreeofnasalflow thatoccursatthestop-nasalornasal-stoptransition.Becauseofthe“nasalleak”phenomenon reportedabove,thisisnot:astopcanhaveacertainamountofnasalflowandstillsound oral.Heresomevaryingobservationsonthispointfromtheliterature: (a)AccordingtoWarren(1975),“exceptinginextremelyrareinstances,whenthe[velar] openingislessthan.05cm2...anynasalemissionpresentisinaudible.” (b)MollandDaniloff(1971)publishdatafromatokenofEnglish/mt/(in“warmtanks”)in whichthemidsaggital[xxxaskhowtousethis]velarportopeningappearstobeabout1.4 mmattheacousticboundarybetween/m/and/t/.InlightofthedatainBjørk(1961,41)relating midsaggitalopeningtocross-sectionalarea,thiswouldcorrespondtoavelarportcross-sectionof about.08cm2. (c)Instudiesofcleft-palatespeakers,Isshikietal.(1968)andWarren(1967),havefound thatthemaximumthatthevelarportcanbeopenwhileretainingnaturallyoral-soundingspeechis about.20cm2. [xxxcitedinBell-Berti1973.Checkthisout.] Weadoptedavalueof.10cm2asadefault,butalsoexaminedthebehaviorofothervalues. Wemustalsomodelthetimecourseofcoarticulatoryvelaropening.Whenanobstruent abutsanasal,thisvariesagreatdeal. (a)Inacinefluorographicstudy,Bjørk(1961)foundthatsomestopsadjacenttonasalshad fullyclosedvelarportsforalmost[xxxcheck]theirentireduration.Othernasal-adjacentstops, however,neverachieved [xxxseealsoDixitandMcNeilage(1972),citedinBell-Bertidiss.] fullclosure,andstillothersshowedfullclosureduringpartoftheirduration. (b)InMollandDaniloff’s(1971)cinefluorographicstudy,“velopharyngealclosure...was alwaysachievedatleast15mec.beforethearticulatoryreleaseofaconsonantprecededbynasal.” Undernormalclosuredurations,suchapatternofnasalcoarticulationwouldleavesomestops articulatedwiththevelumslightlyopenformostoftheirdurations. (c)Westbury(1979,1983)notesthathefoundvirtuallynonasalityduringstopclosurefor hiscinefluorographicdata.However,inthenasalairflowdatapresentedinWestbury(1979),a tokenofthephrase“setnumbereleven”showssomenasalflow(roughly50cm3/sec)[xxx measurethis]fortheentireclosureofthe/b/.

HayesandStivers APhoneticAccountofPostnasalVoicing p.9

£ £ ()Kent(1983)presentsanextremecase:inatokenof/t £ nt nt n.../utteredrapidly,the velumpositionfor/t/,measuredcinefluorographically,neverroseabovethelowestpositionfound for/n/inaslow-speechversionofthesameutterance.Towhatextentthe/t/’softhefastspeech utteranceactuallyachievedanoralperceptisnotclear. Inlightofthis,wehaveassumedasadefaultcaseadegreeofnasalcoarticulation suchthatthevelumisfullyclosedatapointexactlyhalfwaythroughthestop(50msec.),and movessoastocreateintermediatedegreesofopeninguptoa.10cm2thresholdattheboundary withtheprecedingorfollowingnasal.Weexaminedothernasalitycontoursaswell. Forthecaseofanintervocalicstop,weassumedthatthereisnonasalleakatall.This followsthefindingsofBjørk(1961),Lubker(1973),Westbury(1979),and[xxxArizonaguys] thatlongsequencesofphonologicallyoralsounds,withnonasalinthevicinity,typicallyhave closedorvirtuallyclosedvelarports. Compression/RarefactionbytheClosedVelum.Estimatesofthiseffectalsovary.We reviewsomedatabelow. (a)LubkerandMoll(1965)measuredoralandnasalflowsimultaneouslywith cinefluorographicfilmrecordings.RepeatinganearlierobservationtheyattributetoYoung (1953),LubkerandMollfoundsmallexpiratorynasalflows“justprecedingorcoincidentalwith theinitialof...Thisburstofnasalairflowoccurswhenthevelopharyngealdistanceis zero.”LubkerandMollsuggest(p.xxx)thatsuchburstsareduetothepumpingactionofa closedbutrisingvelum,asdescribedabove.Theydeterminedtheamountofairexpelledbythis maneuverforonetoken(characterizedbyLubker1968as“typical”)as4.2cm3.Underthe assumptionthatthisnasalflowresultsentirelyfromvelummovement,wewouldexpectthatthe oralcavitybelowthevelumisexpandedbyasimilaramount.Inaddition,weassumethatthe samegestureexecutedinreversewouldsimilarlycompresstheoralcavity. (b)Itispossiblethattheamountofcompression/rarifactionfromaclosedvelumcouldbe estimatedveryroughlyfromcineradiographicmeasurementsaswell.Theportionofthevelum thatcanmoveairvolumesduringclosureisthatbetweenthe(fixed)rearedgeofthehardpalate andthepharyngealwall.InthemeasurementsofBjørk(1961),thedistancebetweentherear edgeofthehardpalateandpharyngealwallaveraged2.5cm.foragroupof17menand14 women.Weestimatefurtherthatthelateraldimensionofthevelumisabout4cm.Finally,inthe tokenmeasuredbyLubkerandMollthatshowedavelum-propelledburstof4.2cm3,therisein velumheightwasapproximately0.7cm.Theriseofthevelumcannotbeuniformacrossits surface,however,sincetheanterioredge,attachedtothehardpalate,isimmobile.Wetherefore modelthespacesweptthroughbythevelumasatriangularprism,of2.5cm,width4cm, andheightatrearedge0.7cm.Thevolumeofsuchaprismis3.5cm3,whichagreesroughlywith LubkerandMoll’sestimate.Theshortfallmightbeattributedtoagreaterrisewithinthemedial surfaceofthevelumthanthetriangularprismapproximationwouldpermit.Sucharisewouldbe expected,sincetheattachmentpointofthelevatorvelipalatini,whichisthemuscleresponsible forvelumraising,liesforwardofthecontactbetweenvelumandpharyngealwall. HayesandStivers APhoneticAccountofPostnasalVoicing p.10

(c)Westbury(1979)estimatesthevolumeofairdeplacedbymovementofaclosedvelumto beconsiderablylower:1-2cm3.Themodelheassumestomeasurethisdisplacementapparently treatsthevelumasapiston,risingthroughthepassagethatisobservedwhenthevelumisinthe lowestpossibleposition(cross-sectionalarea:2cm2).Underthisassumption,anincreasein velumheightof0.7cmwouldyieldadisplacementofonly1.4cm3.Thisvaluewillbemodeled belowaswell. Itisnecessaryalsotoconsiderpossiblevelarpumpingeffectsforstopsthatareadjacentto non-nasalaswellasnasalsonorants.Thisisbecausethevelumistypicallyhigherforobstruents thanforsonorants.Thesizeofthepumpingeffectisapparentlysmaller:theairflow measurementsofWestbury(1979,xxx)onfully-oralconsonantsequencesshowedaverage airflowsofapproximately0.5cm3,farlessthanthevaluemeasuredbyLubkerandMoll.We modelasmalleffectofthissortforthe/VRPV/sequences,aswellasatthereleaseofthestopin /VmPV/andtheclosureofthestopin/VPmV/. WeusethecontoursinFig.xxxasdefaults.Theyyieldatotalpositivepumpingeffectofxxx cm3in/VmPV/,thesameeffectofoppositesignin/VPmV/,andapositivepumpingeffectofxxx cm3in/VRPV/.Wealsoconsiderlesservaluesbelow. Fig.xxxabouthere.

4.3Outputs

Themodeldoesnotactuallyoutputvoicingdurations,butratherthepressuredifference acrosstheglottis.FollowingWestburyandKeating(1986,149)andreferencescitedthere,we assumethatthevocalcordsmaycontinuevibratingaslongasapressuredifferenceof2cmH2O ismaintainedacrossthem.Later,wemodelthelowervalueof1cmH2OsuggestedbyLindqvist (1972)and[xxx]. Incaseswerevocalcordvibrationceasesandthenstartsagain,weassumeaslighthysteresis effect,suchthatapressuredifferenceof4cm.H2Oisrequiredtorestartphonation.[xxxneed referencehere]Wealsoconsiderlowervaluesforthisfigure. Asroughheuristic,Keatingandxxxsuggestthatanunaspiratedstopwillsoundvoicedif thevocalcordsvibrateduringatleastonehalfofitsclosure.Intheexperimentdescribedbelow (sectionxx),wejudgedthatfast-speechtokensofEnglish/mp/producedbyourconsultantswith thismuchvoicingdidindeedsoundambiguousbetween[mp]and[mb],thussupportingKeating’s criterion.However,thecriterionisclearlyonlyanapproximation,andperceptualjudgmentsof voicingarelikelytobeinfluencedbyotherfactorsaswell.

4.4Results

Forthevaluesclassifiedunder“default”above,themodeloutputstherangesofvoicinggiven under(xx),whichshouldbeinterpretedasfollows. HayesandStivers APhoneticAccountofPostnasalVoicing p.11

(a)Inmanyofthe/Pm/cases,themodelpredictstwoseparatevoicedintervals:one followingclosureandonebeforerelease.Thispatternismoreorlesswhatwewouldexpect, giventhescenarioof(xx).CasesofthistypefromrealspeechmaybeseenintheFrenchdataof xxx,pp.xxxx.Inthetablebelow,thedurationofthetwovoicedintervalsislistedseparately. (b)Whereastopisvoicedforitsentireduration,welistthevalue100msec(theclosure duration)inthefirstcolumnandleavethesecondcolumnblank. (c)VoiceOnsetTime(VOT)isthetimefromstopreleasetotheonsetofvoicing,as determinedabove.ThemodeloftenpredictsashortVOTevenforstopsthatarevoicedformost oftheirclosure;thisapparentlyresultsfromthefairlyslowstopreleasesassumed,inwhichthe vocaltractstillshowsconsiderableimpedanceevenafewmillisecondsafterrelease. (d)Tofacilitateoverallcomparisons,wehavelistedthe“voicelessinterval”predictedfor eachcase.Thisisdefinedaseithertheperiodbetweenpost-closureandprereleasevoicing(for CNcases),orasthesumofthevoicelessportionofclosureandVOT. (6)Maximum Consonant Voicing Voicing Voiceonset Durationof glottal Cluster following priorto time voiceless opening stopclosure stoprelease interval mP 100 0 0 22cm2 RP 63 0 17 54 Pm 32 0 57 mP 60 0 16 56 44cm2 RP 34 0 18 84 Pm 25 6 0 69 mP 33 0 17 84 88cm2 RP 23 0 18 96 Pm 19 2 0 79 xxxtheaboveglottalopeningfiguresarecm,notcm2] Itcanbeseenfrom(xx)thatpostnasalpositionisthemostvoice-inducingenvironment. Withmoderatedegreesofvocalfoldabduction,themodeloutputswhatclearlywouldbefully voicedstops.Theremainingtwopositions,followinganonnasalsonorantandprecedinganasal, permitconsiderablylessclosurevoicing.Theseresultssuggestthatwithinthemoreclosedrange ofglottalsettings,theeffectofpost-nasalpositionwouldwouldbedramaticallytoincreasethe likelihoodofastopbeingperceivedasvoiced,bothrelativetopost-oralandpre-nasalpositions. Withincreasedglottalabduction,theeffectdisappears,andallthreeenvironmentsconvergetoa voicelessoutcome. Thedifferencebetweenthethreesegmentalenvironmentsismostdramaticwithaglottal abductionto.27cm2[xxxadjusttothecorrectunits;thisisreallymm.].Forthisdegreeof HayesandStivers APhoneticAccountofPostnasalVoicing p.12 glottalopening,apostnasalstopremainsvoicelessforitsentirelyduration.Theoutputsofthe modelforthisdegreeofglottalabductionareasfollows: (7)Maximum Consonant Voicing Voicingprior Voiceonset Durationof glottal Cluster followingstop tostoprelease time voiceless opening closure interval mP 100 0 0 27cm2 RP 44 0 16 72 Pm 30 9 0 61 Asnotedabove,themodelingjustdescribedfixesanumberofvariablesthatcanhaveawide rangeofvaluesinrealsituations.Toshowtheeffectsofthesevariables,weshowtheoutputsof themodelunderdifferentassumptions,changingonevalueatatime.Foreachchart,werepeat thevoicelessintervalvaluesobtainedunderthedefaultsimulation. (a)Pointofarticulation:withthedefaultssetinthemannerthatyieldedtheoutputsof(xx), butwithoralvolumesandwallcompliancessettothevaluesforalveolarsandvelarsfromKeating (1984,xx),weobtain:

(8)Alveolars: Maximum Consonant Voicing Voicing Voiceonset Durationof Durationof glottal Cluster following priorto time voiceless voiceless opening stopclosure stoprelease interval interval nT 100 0 0 0 22cm2 RT 54 0 17 6354 Tn 28 11 0 6157 nT 53 0 16 6356 44cm2 RT 31 0 18 8784 Tn 23 6 0 7169 nT 31 0 17 8684 88cm2 RT 21 0 17 9696 Tn 17 3 0 8079 (8) Maximum Consonant Voicing Voicing Voice Duration Comparison glottal Cluster following priorto onset ofvoice- with opening stop stop time less defaults closure release interval Alveolars : . 22cm2 nT 100 0 0 0 RT 54 0 17 63 54 Tn 28 11 0 61 57 . 44cm2 nT 53 0 16 63 56 HayesandStivers APhoneticAccountofPostnasalVoicing p.13

RT 31 0 18 87 84 Tn 23 6 0 71 69 . 88cm2 nT 31 0 17 86 84 RT 21 0 17 96 96 Tn 17 3 0 80 79 (9)Velars:

. 22cm2 K 100 0 0 0 RK 48 0 18 70 54

K 25 8 0 67 57

. 44cm2 K 45 0 17 72 56 RK 28 0 18 90 84

K 21 5 0 74 69

. 88cm2 K 27 0 18 91 84 RK 19 0 18 99 96

K 16 2 0 82 79 Inthesesimulations,forthe.22cm2valueofglottalabduction,thepostnasalstopsremain fullyvoiced,whiletheotherstopsreceivelessvoicing,aswouldbeexpectedattheseplacesof articulation;thusthepostnasaleffectisslightlygreater.Asbefore,thepostnasaleffectis graduallycancelledwithgreaterglottalabduction. (b)Nasalportsizeatstop-nasalboundary:insteadof.10cm2,weemploy.04cm2, interpolatingappropriatelyscaledvaluesacrossthedurationofthenasal: (9) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release . 22cm2 mP 100 0 0 0 RP 63 0 17 54 54 Pm 32 0 8 76 57 . 44cm2 mP 42 0 17 75 56 RP 34 0 18 84 84 Pm 25 0 8 83 69 . 88cm2 mP 25 0 17 92 84 RP 22 0 18 95 96 Pm 19 0 9 90 79 HayesandStivers APhoneticAccountofPostnasalVoicing p.14

Forthe.22cm2abductionvalue,theprenasalcasereceivestheleastvoicing,sinceithasless nasalleaktoaidinretentionofvoicing,butretainsthehandicapofvelarcompression.Asbefore, theeffectscanceloutwithincreasingglottalabduction. Forthehighvalueof.20cm2,weobtain: (10) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release . 22cm2 mP 100 0 0 0 RP 63 0 17 54 54 Pm 32 27 0 41 57 . 44cm2 mP 74 0 16 42 56 RP 34 0 18 84 84 Pm 25 20 0 55 69 . 88cm2 mP 43 0 17 74 84 RP 23 0 18 95 96 Pm 19 12 0 69 79 Thisalternationusuallyresultsinaslightincreaseinvoicingfor/mP/and/Pm/,asonewould expect;however,theoverallpatternremainsthesame. (b)Timecourseofnasalopening:velarportisopenfor25%ofthestop,ratherthanfor 50%: (11) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release . 22cm2 mP 100 14 14 0 RP 63 0 17 54 54 Pm 45 1 0 54 57 . 44cm2 mP 59 0 18 59 56 RP 34 0 18 84 84 Pm 33 1 0 66 69 . 88cm2 mP 33 0 18 85 84 RP 23 0 18 95 96 Pm 23 0 0 77 79 Thisslightlyreducesthepostnasalvoicingaffect,sinceavoicelessintervalisaddedafterthe stopclosure.(Suchanintervalarisesbecauseduringtheperiodafterstoprelease,thelipsarestill sufficientlyadductedtopermitaslightincreaseinsupraglottalpressure.) HayesandStivers APhoneticAccountofPostnasalVoicing p.15

Velarportisopenfor75%ofthestop,ratherthanfor50%: (12) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 100 0 0 0 RP 63 0 17 54 54 Pm 33 25 0 42 57 .44cm2 mP 82 0 16 34 56 RP 34 0 18 84 84 Pm 25 11 0 64 69 .88cm2 mP 42 0 17 75 84 RP 23 0 18 95 96 Pm 19 4 0 77 79 Velumisclosedonlyjustbeforestoprelease(NC)orjustafterstopclosure(CN): HayesandStivers APhoneticAccountofPostnasalVoicing p.16

(13) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 100 0 0 00 RP 63 0 1 75 454 Pm 49 33 01 857 .44cm2 mP 91 0 1 52 456 RP 34 0 1 88 484 Pm 27 16 05 769 .88cm2 mP 46 0 1 77 184 RP 23 0 1 89 596 Pm 20 6 07 479 Bothchangesslightlydiminishthepostnasalvoicingeffectforthe.22cm2degreeof adduction,butslightlyincreaseitforthe.44degree. (c)Compression/rarefactioneffectofvelumheightshift.Ifthisfactorishalvedinall contextswhereitispresent,weobtain: (14) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 100 0 0 0 RP 59 0 17 58 54 Pm 39 13 0 48 57 .44cm2 mP 50 0 17 67 56 RP 32 0 17 85 84 Pm 27 6 0 67 69 .88cm2 mP 32 0 17 85 84 RP 21 0 18 96 96 Pm 20 2 0 78 79 Halvingitagainfromtheabovevalues,weobtain: (15) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 96 1 18 0 RP 57 0 16 59 54 Pm 45 15 0 40 57 HayesandStivers APhoneticAccountofPostnasalVoicing p.17

.44cm2 mP 48 0 17 69 56 RP 32 0 17 85 84 Pm 29 6 0 65 69 .88cm2 mP 32 0 17 85 84 RP 21 0 17 96 96 Pm 20 2 0 78 79 Ifweeliminatetheeffectofvelumpumpingentirely,weobtain: (16) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 84 1 30 0 RP 55 0 16 61 54 Pm 55 17 0 28 57 .44cm2 mP 46 0 17 71 56 RP 31 0 17 86 84 Pm 31 7 0 62 69 .88cm2 mP 32 0 17 85 84 RP 20 0 17 97 96 Pm 20 2 0 78 79 Itcanbeseenthatforallthreealternatives,thestopsthatareadjacenttonasalretaina voicingadvantage,becauseofnasalleak.However,withlessenedvelarpumping,thedifference betweenprenasalandpostnasalpositiongraduallydisappears. (d):Nohysteresiseffectforvoicing;assumethatvoicingcanbeginwith2cmH20 transglottalpressuredrop: (17) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release .22cm2 mP 100 0 0 0 RP 63 0 11 48 54 Pm 32 20 0 48 57 .44cm2 mP 60 0 10 50 56 RP 34 0 12 78 84 Pm 25 15 0 60 69 .88cm2 mP 33 0 11 78 84 RP 23 0 12 89 96 Pm 19 9 0 72 79 HayesandStivers APhoneticAccountofPostnasalVoicing p.18

Underthishypothesis,theeffectsofpostnasalpositionisslightlyreduced. (e)Lowpressuredrop(1cmH2O)neededtosustainvoicing;2cmH2Otostartit. (18) Maximum Consonant Voicing Voicing Voice Durationof Comparison glottal Cluster following priorto onset voiceless with opening stop stop time interval defaults closure release . 22cm2 mP 100 0 0 0 RP 83 0 11 28 54 Pm 39 20 0 41 57 . 44cm2 mP 91 0 10 19 56 RP 44 0 12 68 84 Pm 30 15 0 55 69 . 88cm2 mP 41 0 11 70 84 RP 29 0 12 83 96 Pm 23 9 0 68 79 Here,thedifferencebetweenpostnasalandpost-oralpositionissmallforthe.22cm2glottal abduction.Oddly,inthiscondition,itisthe.44cm2conditioninwhichthepostnasalvoicing effectisthegreatest. Tosummarize:thereappearstobearangeofconditions,fallingwellshortofuniversal coverage,butneverthelessfairlybroad,underwhichastopwillemergewithconsderablygreater closurevoicinginpostnasalpositionthaninpostoralorprenasalposition.

4.5Interpretation

Sincetheoriginalgoalofourmodelistoexplainwhypostnasal(butnotprenasal,or postliquid)voicingisphonologicallysocommon,itisworthcomparingourresultswithother casesofphoneticexplanation. First,theeffectofpostnasalposition,inmostofoursimulations,islargerthantheeffectof havingarelativelyfronterplaceofarticulation.Considerthevaluesoutputbythemodelforthe defaultinputsand.22cm2glottalopeningatbilabial,alveolar,andvelarplacesofarticulation. Welistbelowonlythe“durationofvoicelessinterval”statistic. (19) Bilabial Alveolar Velar

mP,nT, K 0 0 0 RP,RT,RK54 63 70

Pm,Tn,K 57 61 67 HayesandStivers APhoneticAccountofPostnasalVoicing p.19

[comparepostnasalk,postliquidk,andpostliquidp].[xxxthesearesimilartothe differencesfoundwiththesamemodelbyKeating1983WP]Theeffectofconsonantplaceon voicinghaslongbeenadducedasacaseofphoneticeffectsinphonology:afairnumberof languageslack/p/orlack/g/(Sherman1975,Ohala1983,Maddieson1984).Theconsensus viewonthisdifferenceisthatitisduetototherelativedifficultyofpreservingin thepresenceofalargesurfaceofyieldingvocaltractwalls,oranalogouslyofpreservingvoicing withasmallsuchsurface.Giventhattheplaceofarticulationeffecthasphonological consequencesinanumberoflanguages,wewouldplausiblyexpectthatthelargerpost-nasal voicingeffectwouldalsohavephonologicalconsequences,perhapsevenmoredramatic.Our preliminaryimpressionisthatpostnasalvoicingmayindeedbemorewidespreadphonological phenomenonthanvoicingasymmetriesinstopinventories. Wecanalsocomparetheeffectsoforalcavityexpansionfromvelumraising(4.2cc’s,in LubkerandMoll’smeasurement)withotherwaysinwhichtheoralcavitycanbeexpanded. Westbury’s(1979,1983)studyindicatedthatadvancementofthetonguerootcanexpandtheoral cavitybyabout [xxxyouneedtoreadtherestofWestbury] 10xxx,acomparablevalue.ThisconnectionisphonologicallyevidentinMadurese,where therearetightconnectionsbetweenobstruentvoicingandtheadvanced/retractedtongueroot oppositionofthevowelharmony(xxx). [xxxLarynxheight?workofPoser?] Ourconclusionisthatifourestimatesofthemagnitudeofthemechanismswehave examinedarecorrect,thereisgoodreasontothinkthattheycouldeasilyberelevantto phonologicalpatterning. Finally,wewish [xxneeddiscussionofvariation,andwhatthemodelcanbeexpectedtopredict]

5. Post-NasalVoicingAsAPhoneticRule

AnimplicationofaphoneticaccountofpostnasalvoicingisthatNC sequencesshould demandspecialtreatmentinanylanguageinwhichtheyoccur.Underaphoneticaccount,there

aretwoprincipalthingsthatalanguagecandowithNC sequences.First,itcouldsimplyabandon HayesandStivers APhoneticAccountofPostnasalVoicing p.20 theattempttoproducethem;thisiswhathappensinthelanguagesnotedin(xx),whichare describedashavingaphonologicalruleofpostnasalvoicing.(Thesamethingwouldbefoundin languageswherepostnasalvoicingembodiesanentirelystaticphonotacticpattern.)Second,a languagecouldmakespecialphoneticaccommodationsinordertomaintainvoicelessness—at leasttosomedegree—inpostnasalobstruents. Inthisrespect,aphoneticaccountofpostnasalvoicingdiffersfromtraditionalphonological analyses(e.g.,thatofItoetal.(1995),inwhichthepresenceofpostnasalvoicingreflectssome particularruleorconstraintofalanguage’sphonologicalsystem.Intheviewadvancedhere,the

postnasalvoicing“problem”isonefacedbyeverylanguagewithNC sequences,andtheoption ofeliminatingthevoicingdistinctioninpostnasalobstruentsisonlyoneofthemanywaysof dealingwiththeproblem. ThispointismadefromaphonologicalpointofviewbyPater(inpress),whoarguesthat whatmostgenerallycharacterizesthephonologicaltypologyisnotpost-nasalvoicingper,but rathertheavoidanceofvoicelessobstruentsinpost-nasalposition.Patershowsthatthis disfavoredconfigurationiseliminatedphonologicallyinavarietyofways:deletingthevoiceless obstruent;deletingthenasalorassimilatingittothevoicelessobstruent;xxxetc. Whatremainstosupportthisuniversalistviewistoconsiderlanguagesinwhichessentially

noovert“phonology”atall(ofthekindtraditionallyconductedwithear,pencil,andpaper)

centersaroundNC clusters.SuchlanguagesalsofacethearticulatoryproblemofNC,andifour viewiscorrect,theyshouldtakestepstoaccomodateit.Suchstepswouldbephonetic,not phonological,sincethebasiccontrastofvoicedvs.voicelessconsonantsafternasalsinthese languagesispreserved. Tothisend,wehaveexamineddatafromonesuchlanguage,AmericanEnglish,totestwhat,

ifany,istheEnglish“response”totheNC problem.

6. NC ClustersinEnglish

ThemajorityofEnglishdialectshavenophonologicalpatterningdrivenbytheNC¡ syndrome,3andthefiveconsultantswhosespeechisdescribedbelowmaintainaclearlyaudible contrastofvoicedandvoicelessstopsinthe/N___Venvironment.Ourexperimentfocusedon thephonetictreatmentofsuchclustersintheirspeech.

3Bailey(19xx)notesthatcertain[xxxwhich]dialectshaveundergoneasoundchangevoicingstops afternasalswhenbothsurroundingvowelsareatonic[xxxcheck].Postnasaldevoicingalsoappearsto occurinthespeechofsomeindividualsfromtheNewYorkCityarea,asnotedbyMalécot(1960).Three

ofourspeakers(CF,RW,andTSxxxcheckothers)showaminorphonologicalalternationinthenumeral

¢ ¢ ¤¦¥¨§ © ¢  ¢ ¥¨  £

suffix-ty:sixty[ s ks+ti]vs.seventy[ +di]andninety[ £ +di](but,oddly,twenty[ ,

¢ ¥¨  i]).Weareunawareofanyotherpostnasalvoicingalternationsinourconsultants’speech. HayesandStivers APhoneticAccountofPostnasalVoicing p.21

6.1Design

Ourexperimentwasanacousticstudyofthebyfivenativespeakersofthree

pseudo-,oneincludingaNC¡ sequence;theothersactingascontrols.Thefollowingarethe independentvariablesintheexperiment.

¡ ¢

(a)ConsonantClusters.Thepseudo-wordsofEnglishthatwereusedwere/ t mp /,

¡¤£¦¥ ¡

¢ ¢ / t /,and/ t mb /.Theywerepresentedtoourspeakersinorthographicform,astompa,

tarpa,andtomba,andwillbereferredtoassuchhere.Somesubjectsinitiallypronouncedtompa

¢ ¢ andtombaas[ tomp ]and[ tomb ];thesesubjectswerecorrectedbyaskingthemtointerpretthe wordsasordinaryEnglishratherthanasforeignisms. Thedistinctionbetweentompaandtarpaenablesustoassesstheeffectsofaprecedingnasal ontheobstruent/p/.Thedistinctionbetweentompaandtombaenablesustoassessthedifference betweenvoiceless/p/andvoiced/b/inthesameenvironment.Wechosepseudo-wordswitha stressed-stresslesspatterntoavoidthestrongaspirationthataccompaniesvoicelessstops inEnglishinpretoniccontexts.

¡ ¢ Ideally,asequencesuchas/ t pm /shouldhavebeenexaminedaswell.However,since syllable-finalvoicelessstopsinEnglishareveryoftenglottalized(evenwhennonasalfollows),it wasfeltthatsuchasequencewouldnotusefullyilluminatethesupraglottalmechanismsofvoicing control.4 (b)Speakers.FivenativespeakersofEnglish,allyoungadults,readascriptcontaining multiplerepetitionsofeachword.Ofthespeakers,threewerefemale(TS,CF,)andtwomale (RW,HC).AllweregraduateorundergraduatestudentsinlinguisticsatUCLA,andvolunteered toparticipate.Weselectedlinguisticsstudentsinhopesthattheywouldfeelmorecomfortable speakinginarecordingboothandwouldprovidemorenaturalspeech.Noneofthespeakers, however,wasawareofthepurposeoftheexperiment. (c)ProsodicContext.Toobtainwhatwehopedwouldbeacollectionoftokensdiversein speakingrateandlevel,wetrainedthespeakers(usingotherexamplewords)torecitethe samplewordsinarhythmicframe,whichwasdepictedorthographicallyastarpa...tarpa... tarpa,tarpa,tarpa.Generally,ofthefiverepetitions(referredtoinorderwiththelettersA-E), A,BandEtendedtobepronouncedwithgreaterstressandduration;whereasCandespeciallyD tendedtobegivenmorerapid,lessdistinct.Thesewereonlytendencies,however. Statisticalanalysisoftheeffectofprosodiccontextisgivenbelow.

4Westbury’s(1979,1983)cinefluorographicstudyshowedatokenof/pm/inwhichthevelumwas fullyloweredduringthe/p/;.Westburysuggestsherethatvoicelessnessin/p/wasdueentirelytothe glottaladductiongesture;thefullyopenvelummadenodifferencetoitsacousticrealization.Suchtokens

mightberenderedas[ § mm]inanarrowtranscription. HayesandStivers APhoneticAccountofPostnasalVoicing p.22

Thescriptwhichweaskedourconsultantstoreadconsistedofthirtysequencesoffiverepetitions liketheonejustnoted,arrangedinpseudo-randomorder.Intheanalysis,weexcludedthefirst andlastrhythmicsequenceforeachofthethreepseudo-words.Thuseachconsultantproduced eightrhythmicsequencesforeachpseudo-word.Insummary,foreverycombinationin(xx),our dataincludeeightrepetitions. (20)Word (tarpa,tompa,tomba) Speaker (TS,CF,CS,RW,HC) ProsodicPosition (A...B...CDE) TherecordingwasmadeinasoundproofboothintheUCLAPhoneticsLaboaratory.Forall subjectsexceptTS,weusedaxxxmicrophonetocontrolthedistancefromthespeaker’smouth tothemicrophone.TSwasrecordedwithatablemicrophone.

6.2Measurements

UsingtheKayElemetricsCSLspeechanalysissystem,wemeasuredthefollowingintervals oftime(whereapplicable)foreachtoken. (a)NasalMurmurDuration(tomba,tomba).Thetransitionbetweenvowelandnasal consonantwasgenerallyeasilyvisibleonthewide-bandspectrogramdisplay.Forseveral speakers,thistransitionwasalsovisibleasasharpdipintheamplitudeofthespeechwaveform. Thetransitionpointbetweenthenasalandthefollowingstopwasconsideredtooccuratthe pointwherenofurtherenergywasvisibleabove500hz.Repeatedcheckingofthiscriterionby listeningtobriefportionsofthesignalsuggestedthatitisfairlyreliable,thoughnotperfectlyso. Incasesofdoubt,weretainedthiscriterion,intheinterestofexcludingsubjectivejudgmentsfrom themeasurements. (b)DurationofStopVoicing.Bythisismeantthevoicingthatoccurredatthebeginningof virtuallyallthestoptokens,andformost,ceasedatsomepointduringthestop.Theendpointof thisintervalwastakentobethedivisionbetweenaweakperiodicsignalandcompletesilenceon thewaveform.Thestartingpointwastheendofnasalityforthetompaandtombatokens.For thetarpatokens,theonsetofstopclosurewasplainlyvisibleonthebroadbandspectrogram. (c)DurationofVoicelessClosure.Thiswasconsideredtolastfromtheendofthevoiced portionofthestoptothemomentofstoprelease,whichwasconsistentlydetectibleasaburst spikeonthewaveform. (d)VoiceOnsetTime.Thiswasxxx Wealsomeasuredtwoamplitudes(xxxlearnhowtosaythis) (e)PeakAmplitudeofNasalMurmur.Thiswasmeasuredofftheamplitudedisplay providedintheCSLsystem. HayesandStivers APhoneticAccountofPostnasalVoicing p.23

(f)PeakAmplitudeofStressedVowel;thatis,thestressedvowelwhichimmediately precededtherelevantstoporcluster.Thiswasdoneasameansofcontrollingfortoken-to-token variationinloudness.Intheanalysis,thisvaluewassubtractedfromthevaluefoundforthenasal.

6.3StatisticalAnalysis

Wecarriedoutanalysesofvarianceforallmeasuredvariables,usingasindependentvariables Speaker,Word,andProsodicPosition.Inaddition,wealsoanalysedthefollowingcomputed variables: (a)FractionofVoicedClosure.Thisrepresents (durationofvoicedstopclosure)______ (durationofvoicedstopclosure+durationofvoicelessstopclosure) (b)TotalStopClosure,thesumofvoicedandvoicelessclosure. (c)TotalClosure,thesumofnasalclosureplusvoicedandvoicelessstopclosure.Thisis differentfromTotalStopClosureonlyinthecaseoftompaandtomba. (d)NasalFractionofTotalClosure;thatis,thedurationofthenasal(whereapplicable) dividedbytotalclosureduration. Statisticalanalysiswascarriedoutbothforthedataasawholeandforeachspeaker separately.

6.4Results

6.4.1Controls

Webeginwithsomeobservationsaboutthegeneralpatternsseeninourdata. Ingeneral,speakersTSandCFspokemoreslowlythantheotherspeakers.Theiraverage durations(alltokens)fortotalbilabialclosure(/mp/,/mb/,/p/)were100and97msec.,versus84, 86,and83msec.forMD,HC,andRW,respectively.Thismayberelatedtothewayinwhichwe collectedourdata:seekingavarietyofspeakingrates,weencouragedCF,HC,andRW(butnot TSandCF)tospeakrapidlyandcasually. Thespeakersdidnotgreatlyspeeduporslowdownduringtheirrecitations,whichlasted aboutthreeminutes.ThiswasshownbytheshallowslopesofregressionlinesplottingTotal Closureagainsttheorderofthereadscript. Theprosodicframeinwhichthetokenswereuttered(“A...B...CDE”)hadtheeffectson themeasureddurationsthatmightbeexpected:theCandDtokens,whichwerenon-finalintheir HayesandStivers APhoneticAccountofPostnasalVoicing p.24 group,usuallyhadtheshortestdurations.Theaveragedurationsofbilabialclosureforall consultantsforprosodicpositionsA-Ewereasshownbelow: (9)Speaker A B C D E Pairsdistinctat.01significancelevel (Fisher’sPLSD) TS 107 106 91 93 105 Cvs.{ABE};Dvs.{ABE} CF 97 102 88 95 105 Cvs.{BE};Dvs.E HC 86 92 89 77 88 Dvs.{BC} MD 84 85 80 84 89 none RW 87 88 71 68 100 Cvs.{ABE};Dvs.{ABE} Ave. 92 95 84 83 97 6.4.2AmountofClosureVoicing

Thecrucialcomparisonhereistarpavs.tompa.Bothhavephonemic/p/,butintompathe /p/followsanasal,whereasintarpaitfollowsanon-nasalsonorantconsonant. Thedataaregiveninscattergramsbelow.Theseshowthedurationofvoicedclosure(onthe verticalaxis:“BDur”)vs.thedurationofvoicelessclosure(onthehorizontalaxis:“PDur”). Smallsquaresindicatetokensoftarpa,whilesmallcirclesindicatetokensoftompa. Fig.xxxabouthere Itcanbeseenthatthecloudsofsymbolsaremostlydistinct,withsubstantiallylarger durationsforvoicedclosureinthetompatokens,andsubstantiallylargerdurationsforvoiceless closureinthetarpatokens.Ingeneral,inthepostnasalenvironmentoftompa,ourspeakers producedmorevoicingduring/p/. Theanalysesofvariancesupportedthiscontention.Wegivethesebelowforeachspeaker separately,testingforthefollowingdependentvariables:durationofvoicedclosure(duringthe stoponly),durationofvoicelessclosure,andthepercentageofclosuredurationthatwasvoiced. Thespeakersarelistedinorderoftheiraveragespeakingrate,asdeterminedabove. [xxxmayberedothiswithlessround-off?] Table1:ANOVA;DegreeofVoicingDuring/p/ VoicedClosure: VoicelelessClosure: %Voiced: Mean σ F- P- Mea σ F P σ F P value value n Mean TS: tompa 17 5 82.5 <.000164 13 139.7 <.000 21.5 7.2 112.0 <.0001 1 tarpa 8 5 86 9 8.6 4.7 CF: HayesandStivers APhoneticAccountofPostnasalVoicing p.25 tompa 18 4 51.5 <.000159 11 186.3 <.000 23.2 5.3 126.5 <.0001 1 tarpa 10 6 94 14 9.8 5.9 HC: tompa 30 11 105.6 <.000141 13 89.4 <.000 42.9 3.3 136.1 <.0001 1 1 tarpa 10 6 62 10 13.8 9.1 MD: tompa 21 7 5.6 .0201 34 12 216.9 <.000 38.8 3.2 80.3 <.0001 1 1 tarpa 17 6 66 12 21.1 7.2 RW: tompa 24 12 15.4 .0002 33 16 37.0 <.000 42.5 8.4 25.8 <.0001 1 1 tarpa 15 8 56 19 23.3 4.7 1 OurresultsareinroughagreementwiththoseofKentandMoll(1969),whomeasuredthe “voicebreaks”ofintervocalic,pre-nasal,andpostnasalvoicelessstops.Forallspeakersand placesofarticulation,theseaveraged168msecforintervocalicstops,156forprenasalstops,and 134forpostnasalstops,thusshowingastrongeffectofpostnasalpositionandonlyaweakone (whichwasnotconsistentacrossplaceofarticulation)forprenasalposition. TheANOVAfoundeffectsofprosodiccontextonlyinsomeofthespeakers.Significant differencesinpercentageofvoicedclosurebetweenprosodiccontexts(byFisher’sPLSDtest) werefoundforthefollowingspeakersandcontexts: (10) A B C D E TS: 25.1 22.5 25.5 19.8 14.8 Avs.E;p=.0024 Bvs.E;p=.0197 Cvs.E;p=.0018 CF: 22.7 19.3 28.2 23.9 21.8 Cvs.A;p=.0254 Cvs.B;p=.0005 Cvs.E;p=.0097 HC: 45.6 43.1 38.0 51.9 36.0 Dvs.C;p=.0348 Dvs.E;p=.0168 MD: 29.4 31.1 45.7 52.7 35.3 Cvs.A;p=.0026Dvs.A;p<.0001 Cvs.B;p=.0062Dvs.B;p=.0001 Cvs.E;p=.0452Dvs.E;p=.0014 [xxxbytheWestbury/Keatingcriterion,manyofHaroldand Minna’sDtokensshouldactuallysoundvoiced.Listentothese.] HayesandStivers APhoneticAccountofPostnasalVoicing p.26

RW: 38.4 42.0 45.6 48.7 38.6 (nosignificantdifferences) Therearetwopatternsseenhere.TSvoicedlessinthefinaltokenofthestring;andCF,HC, andMDvoicedmoreinoneorbothofthemorerapidlyutteredmedialpositions. Thisvariationbyprosodiccontextislargelyspecifictothepost-nasalenvironment.For tarpa,therewasonlyonedatasetthatshowedanysignificantpairwisedifferences,namelytheE tokensforspeakerTS(Evs.A:p=.0256;Evs.C:p=.0167).Thepairwisedifferencesthat involvedgreatervoicingintheprosodicallyweakerpositions(CandD)forspeakersCF,HC,and MDdidnotreachstatisticalsignificanceinthetarpatokens. Summingup,ourdatashowasubstantialeffectofpostnasalvoicing,whichforsome speakersbecomesgreaterinweakerprosodiccontexts. 6.4.3DurationofNasalityandStopClosure

Earlierresearch(e.g.Malécot1960,xxx)hasconsistentlyfoundthatinEnglishnasal+ voicedstopclusters,thenasaltendstobelongandthestopshort;whereasinnasal+voiceless stopclusters,thenasaltendstobeshortandstoplong.MaddiesonandLadefoged(1991)have alsodemonstratedthispatternforanalogoussequencesinSukuma. Thepatternalsoshowsupclearlyinourdata.Belowwegiveascattergramplottingthe durationsofthenasal(“MDur”)againstthedurationofthestopclosureforspeakerMD. Fig.xxxabouthere Itcanbeseenthatthedatafortompa(triangles)andtomba(circles)largelydivideintotwo distinctareas.MD,whospokefairlyrapidlyintherecording;hadarelativelypoorseparationof thetwosets;forTSandCF,whospokemoreslowly,theseparationofthetwoareasiscomplete. TheANOVAtestingshowsthesamepoint;ourfindingsaresummarizedinTable2. Table2:ANOVA;NasalandStopDurations DurationofNasal: DurationofStop: Mean σ F P Mean σ F P TS: tomba 74 9 23 11 730.6 <.0001 989.7 <.0001 tompa 28 9 81 11 CF: tomba 58 6 26 9 355.9 <.0001 615.2 <.0001 tompa 26 9 77 12 HC: tomba 50 14 23 11 69.7 <.0001 989.7 <.0001 tompa 27 13 81 11 HayesandStivers APhoneticAccountofPostnasalVoicing p.27

MD:tomba 66 13 13 8 450.4 <.0001 110.9 <.0001 tompa 36 15 55 13 RW: tomba 62 17 22 16 57.0 <.0001 135.6 <.0001 tompa 37 15 57 18 NasalDuration/TotalDurationx100 Mean σ F P TS: tomba 76.8 10.3 1000.0 <.0001 tompa 25.8 8.0 CF: tomba 69.4 8.4 702.1 <.0001 tompa 25.5 7.4 HC: tomba 56.5 13.2 130.2 <.0001 tompa 26.9 11.0 MD: tomba 83.9 10.0 350.7 <.0001 tompa 38.8 14.9 RW: tomba 74.4 19.5 94.9 <.0001 tompa 39.3 15.2 Therewereisolatedeffectsofprosodicposition;butnoneofthesewereinanyway consistentacrosssubjects. 6.4.4VOT

Thevoiceonsettimeswereallfairlylow,sincethepost-toniclocationinwhichour consonantclustersoccurredisnotapositioninwhichEnglishvoicelessstopsarestrongly aspirated.Forallspeakers,voiceonsettimewasgreaterintompathanintarpa.Forthetwo malespeakersRWandHC,thiseffectdidnotreachstatisticalsignificance,whereasforthethree femalespeakersitwasstronglysignificant. Table3:ANOVA;VoiceOnsetTime Mean σ F P Mean σ F P TS: MD: tompa 14 3 19.6 <.0001 tompa 15 8 35.9 <.0001 tarpa 11 4 tarpa 24 7 CF: RW: tompa 27 11 16.0 .0002 tompa 26 11 1.0 (.3247) tarpa 20 5 tarpa 24 12 HC: HayesandStivers APhoneticAccountofPostnasalVoicing p.28 tompa 19 10 1.2 (.2781) tarpa 17 7 6.4.5SummaryofTimingData

ThemeasurementsoftimingaresummarizedinFig.xx,whichgivesforeachspeakerand wordtypethedivisionofthetotalintervocalicintervalintonasalclosure(whereapplicable), voicedstopclosure,voicelessstopclosure,andVOT.Fig.xxgivesthebreakdownofthese averagesbyprosodiccontext. Fig.xxxabouthere Fig.xxxabouthere 6.4.6NasalAmplitude

Weassessednasalamplitudesintwoways:asrawvalues,andwiththemaximumamplitude oftheprecedingvowelsubtractedout,asacontrolfortheoveralldegreeofspeakingeffortfora giventoken.Forthethreefemalespeakers,tompahadsignificantlylowernasalamplitudethan tomba,bybothmeasures.Ofthetwomalespeakers,HCshowednosignificantdifference,and RWshowedadifferenceintheoppositedirectionthatfellshortofsignificance.Thedataare giveninTable4below. Table4:ANOVA;NasalAmplitude RawNasalAmplitude NasalAmplitude-VowelAmplitude Mean σ F P Mean σ F P TS: tomba 74.5 2.2 21.3 <.0001-2.0 1.4 8.931 .0039 tompa 73.2 2.5 -2.9 1.5 CF: tomba 63.7 2.2 81.9 <.0001-10.9 1.3 52.5 <.0001 tompa 61.9 2.2 -12.9 1.4 HC: tomba 63.1 1.4 .01 (.9104)-3.4 2.1 .430( .5140) tompa 63.1 1.7 -3.0 2.7 MD: tomba 63.2 1.2 49.8 <.0001-2.7 1.23 9.7< .0001 tompa 61.2 1.5 -4.4 1.7 RW: tomba 66.8 2.8 .0004 (.9479)-3.5 2.4 2.423 .1241) ( HayesandStivers APhoneticAccountofPostnasalVoicing p.29 tompa 66.9 2.8 -2.7 2.1

6.5Discussion

Severalofourexperimentalresultsmayplausiblybeinterpretedinlightofthegeneralview takenherethatthereisaphonetictendencytowardpost-nasalvoicing. First,thetendencyitselfisnotentirelysuppressed,eveninEnglish,wherevoicingis contrastiveinpostnasalposition.Thereissignificantlymoreclosurevoicinginthetompatokens thanforthetarpatokens,forallspeakers.Further,thereisslightevidencethatthetendency towardpostnasalvoicingisgreaterinrapid,lessfullyarticulatedspeech:threeofthefivespeakers showedasignificantlygreatertendencytowardpostnasalvoicinginoneorbothofthe prosodicallyweakerpositionsCandD.Thistendencywastowardpostnasalvoicingperse,and notvoicingingeneral,sincethesameeffectwasnotobservedinthetarpatokens. Beyondthis,twootherpatternspresentinthedatacanbeseenasinvolvingstrategies,some generalandothersspeaker-specific,formaintainingaphonologicaldistinctionofvoicingdespitea phonetictendencythatwouldneutralizeit. (a)NasalandStopClosureDurations.Wesuggestthatthedurationsofnasalityandstop closureareappropriatelyarrangedtoencouragevoicingin/mb/andvoicelessnessin/mp/.Tosee this,wemustexamineageneralfactorthatappearstoaffectdurationinourdata. Considertheoverallclosuredurationsofallofourtokens,thatis,thedurations correspondingto/p/intarpa,to/mp/intompa,andto/mb/intomba.BrowmanandGoldstein (1986)hassuggestedthatEnglishnasal+stopclustersintheprosodiccontextwehaveconsidered (/‘V___Vû)areessentiallyprenasalizedstops,havinglittlemoredurationthanasingletonstop inthesameenvironment.Ouracousticdataarequitecompatiblewiththisview.Forthethree wordtypeswecollected,thetotallabialclosure,averagedacrossalltokens,was85msec.for tarpa,87msec.fortomba,and99msec.fortompa. Whatisofinteresthereishowthetotaldurationoflabialclosureisdividedbetweenanasal andafollowingstop.Afindingabovewhichisstatisticallyverystrong(andshowninearlier workaswell)isthatin/mp/,thenasalisshortandthestoplong,whereasin/mb/thenasalislong andthestopshort.Astheliteratureonvoicingindicates,thisdurationalpatternwouldtendto favorvoicelessnessin/mp/,sincethereismoretimeforsupraglottalpressurebuild-uptohalt translaryngealflow.Shortnessofthestopwouldlikewisewouldfavorvoicingin/mb/. Thegreaterlengthofthestopintomparelativetotombamayplausiblyberegardedasan importantfactorinmaintainingtheperceptofvoicelessnessinthissegment.Considerthat, accordingtoWestburyandKeating(19xx),ifastopisvoicedmorethanabout50%throughits HayesandStivers APhoneticAccountofPostnasalVoicing p.30 closure,thenitislikelytobeperceivedasvoiced.5Imaginea(counterfactual)scenarioinwhich thedurationof/mp/clustersisawardednotpreferentiallytothestop,butratherissharedequally betweenthetwosegments.Underthisscenario,andadoptingWestburyandKeating’s

assumptionconcerningvowel,wecalculatethatasubstantialnumberoftompatokens

¡£¢¥¤§¦©¨ ¡£¢¥¤§ ©¨

inourexperimentwouldhavebeenperceivedas[ ],notas[ ].Foreachspeaker, thefractionsare:TS,2/40tokens;CF,2/40;HC27/40;MD14/40;RW21/40tokens. Whiletheclusters/rp/,/mp/,and/mb/hadroughlysimilaroverallclosuredurations,noted above,itisnoteworthythatthelongestofthethreeis/mp/.The99msec.averageclosure durationfor/mp/issignificantlygreaterthanthe87msec.closuredurationfor/mb/(p<.0001by Fisher’sPLSDtest).Thisdifferenceaswellwouldtendtoencouragevoicelessnessin/mp/ relativeto/mb/. Weaddthatthedurationofthenasalportionofclosurein/mp/and/mb/mayinandofitself serveasaperceptualcueforvoicinginthiscontext,aswasdemonstrated,forexample,bythe tape-splicingexperimentsofMalécot(1960).Giventhatdurationaldifferencesservetomaintain theprimarycueofstopvoicing,itisplausiblethatthedurationaldifferencesthemselvescould serveasanadditionalcue. [xxxVariouspeoplehaveotherexplanations.SeeFujimurainthe volume,whoalsocitesapaperbyZueandLaferriere] (b)VoiceOnsetTime.Forthethreefemalesubjects,the/mp/clustersshoweda significantlygreatervoiceonsettimethanthe/rp/clustersthatservedasacontrol.Weconjecture thatthisrepresentsaspeaker-specificstrategyformaintainingvoicelessnessinthe/p/oftompa. Inparticular,evenwheresupralaryngealconditionsarefavorabletothemaintainanceofvoicing (aswebelievetheyareinthepostnasalenvironment),itispossibletodiscouragevoicingby meansofvocalcordabduction;wesuggestthatthethreefemalespeakersdidjustthis.Sinceall elsebeingequal,agreaterabductionwillrequiremoretimetocomplete,weobtainsmall differencesofvoiceonsettimebetweentompaandtarpa.

TheuseofvocalcordabductiontoinhibitvoicinginNC clustersisattestedalso phonologically,asPater(inpress)hasshown.Inparticular,inmanyBantulanguages,voiceless stopshavehistoricallybecomeaspiratedinthepost-nasalenvironment.Thefollowingdata (ThomasHinnebusch,p.c.)fromPokomoshowhowthispatternsometimescreatesphonological alternations:

(11)a.yu-kuni‘Nounclass11pref.-pieceoffirewood’ n-khuni‘Nounclass10pref.-firewood’

5Wejudge,subjectively,thatthiscriterionisvalidforourdata;thetokensoftompaproducedbyour

speakersinwhichclosurevoicinglastsformorethan50%ofclosuresoundambiguoustous(between

©   [ t ]and[ ])whenheardinisolation. HayesandStivers APhoneticAccountofPostnasalVoicing p.31

b.yu-caya‘Nounclass11prefix-jaw’ n-chaya10‘jaws’(UP) ki-konde/vi-7/8‘garden’n-khonde9/10‘garden’(UpperPok.) yu-pfepfe11lighteningflashm-phepfe10lighteningflashes(LP) MaddiesonandLadefoged(1993)likewisenotethatwhenprenasalizedstopsarevoiceless (i.e.,theexceptionalcase)theyarefrequentlyaspirated,orevenhaveavoicelessnasalportion. (c)NasalAmplitude.[xxxthisisamess:doregressionsonnasaldurationvs.nasal amplitude.]

7. Conclusion

Inthisarticlewehavediscussedapossiblephoneticmechanism,namelyacombinationof nasalleakandcompression/rarifaction[xxxspelling?]bythevelum,forthewidespreadpatternof voicinginobstruentsadjacenttonasals.Thecompression/rarifactionmechanismcrucially explainstheprevalenceofobstruentvoicingonlyinpostnasalposition,notprenasal.Wehave attemptedtoestablishtheplausibilityofthesemechanismthroughvocaltractmodeling. Shouldfurtherresearchsupportthevalidityofthesemechanisms(orshowthevalidityof alternatives),thenitbecomesafactorrelevanttophonologythatthetendencytowardpostnasal

voicingispresentinalllanguagesthathaveNC clusters;alllanguagesmust“dealwithit”,either

phonologicallybyabandoningtheattempttoproduceNC clusters,orphoneticallybyestablishing anoutcomethatpreservesthecontrastinspiteofthepressuretoobliterateit.Wehavetestedthis predictionagainstEnglishdata,anditappearstobeconfirmed:inourdata,Englishbothshowsa certaindegreeofpostnasalvoicing,andalsoshowstwophenomena:durationaladjustment,and aspiration,thatappeartobedirectedtowardmaintainingthe/mp/-/mb/distinction. Thisresult,shoulditbegeneral,wouldcountinouropinionasastrikeagainstphonological theoriesofpostnasalvoicingthatconceiveofthephenomenonintermsofrelativelyarbitrary, language-specificconstraints.Rather,wesuggestthatlanguageswithpost-nasalvoicingshould betreatedasrepresentingonlyonepossibleresponse(namely,theabandonmentofacontrast)to

aconundrumfacedbyalllanguagesthathaveNC clusters. HayesandStivers APhoneticAccountofPostnasalVoicing p.32

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