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aPionpublication i-Perception(2012)volume3,pages18–24 dx.doi.org/10.1068/i0447aap ISSN2041-6695 perceptionweb.com/i-perception Aesthetic judgement of orientation in modern art George Mather SchoolofPsychology,UniversityofSussex,Falmer,BrightonBN19QH,UK[Presentaddress:Schoolof Psychology,UniversityofLincoln,Lincoln,UK];e-mail:[email protected]; Received13May2011,inrevisedform16December2011;publishedonline18January2011 Abstract. When creating an artwork, the artist makes a decision regarding the orientation at which the work is to be hung based on their aesthetic judgement and the message conveyed by the piece. Is the impact or aesthetic appeal of a work diminished when it is hung at an incorrect orientation?Toinvestigatethisquestion,Experiment1askedwhethernaïveobserverscanappreciate the correct orientation (as defined by the artist) of 40 modern artworks, some of which are entirely abstract. Eighteen participants were shown 40 paintings in a series of trials. Each trial presented all four cardinal orientations on a computer screen, and the participant was asked to select the orientation that was most attractive or meaningful. Results showed that the correct orientation was selectedin48%oftrialsonaverage,significantlyabovethe25%chancelevel,butwellbelowperfect performance. A second experiment investigated the extent to which the 40 paintings contained recognisable content, which may have mediated orientation judgements. Recognition rates varied from0%forsevenofthepaintingsto100%forfivepaintings.OrientationjudgementsinExperiment 1correlatedsignificantlywith“meaningful”contentjudgementsinExperiment2:42%ofthevariance in orientation judgements in Experiment 1 was shared with recognition of meaningful content in Experiment 2. For the seven paintings in which no meaningful content at all was detected, 41% ofthevarianceinorientationjudgementswassharedwithvarianceinaphysicalmeasureofimage content, Fourier amplitude spectrum slope. For some paintings, orientation judgements were quite consistent,despitealackofmeaningfulcontent.Theoriginoftheseorientationjudgementsremains tobeidentified. Keywords:aesthetics,visualart,abstractart,orientation. 1 Introduction TwopaintingsbytheAmericanabstractartistMarkRothkofromhisBlackonMaroonseries containbroadblackstripesacrossthecanvasdefininghazymaroonrectangles.Thepaintings weredonatedtotheTateModernGalleryinLondonin1968,whichhungthemformany yearswiththestripesrunninghorizontally.Thepaintingswerethenrotatedsothattheywere hungwiththestripesrunningverticallyforatime,beforebeingreturnedtothehorizontal orientationforanexhibitionofRothko’swork.Controversyhassurroundedthequestion of the correct orientation in which to hang the paintings. Rothko’s signature indicates a horizontalorientation(seeJamieson2008),buttheworksarecurrentlyhungvertically.The artisthimselfmayhavebeenunsure;paintdribblesruninbothdirectionsonthecanvas. Arthistorianshavedebatedtherelativeaestheticmeritsofthetwoorientations.Thereare anecdotalreportsofotherdisputesaboutthecorrectorientationofotherpaintings,including workbyMatisse,Rauschenberg,vanGogh,andO’Keeffe.Butdoesorientationreallymatter inanabstractorsemiabstractpainting,atleasttotheuntrainedeye? Modernartoftencontainslittleornorecognisablerepresentationofreal-worldobjects orscenes.Abstractionallowstheartisttofocusoncompositionandmediumratherthanon subjectmatter.Intheprocessofcreatingamodernartwork,anartistmaymakeanaesthetic decisionregardingtheorientationatwhichtheworkshouldbehung,basedontheirintended message.Thecorrectorientationisoftenspecifiedonthebackofthecanvas.However,this intendedorientationisnotalwaysobvioustoothersviewingthework,especiallyifthereis norecognisablecontentatall,whichraisesquestionsaboutaesthetics.Istheresufficient informationinamodernartworkforanaïveviewer’sjudgementtoalignwiththecorrect Orientationjudgementinmodernart 19 orientation?Istheimpactoraestheticvalueofaworkdiminishedbyviewingatanincorrect orientation? Relatively few studies have addressed such questions, but answers to them shouldthrowsomelightonthecognitiveprocessesunderlyingvisualaestheticjudgement. Lindauer(1969)askedparticipantstoindicatetheirpreferredorientationfor54abstract paintingsandfoundthathalfwereinagreementwiththeartist’sintendedorientation.On the other hand, Swartz and Hewitt (1970) showed their participants a series of abstract paintings,eitherintheoriginalformatorrotatedormirror-reversed,andaskedparticipants torateeachimageaesthetically.Aestheticratingswerenotaffectedbyrotationormirror reversal.Lattoetal(2000)wereprimarilyinterestedinpreferencesforverticalandhorizontal orientationsoverobliqueorientationsinMondrianpaintings,thoughtheydidreportslightly higheraestheticratingsforpaintingspresentedattheintendedorientation.Plumhoffand Schirillo(2009)morerecentlyfoundsomeevidenceofhigheraestheticratingsforMondrian’s paintingspresentedatthecorrectorientation.InJohnsonetal’s(2010)studyofthesame Mondrianpaintings,pupilsizewassignificantlyhigherforthecorrectorientationthanfor otherorientations. Thepresentstudyaimstobuildonpreviousstudiesby(i)systematicallyinvestigatingthe relevanceofrecognisablecontentinpreferencesfororientation(apotentialconfounding factorinpreviousstudiesemployingarangeofabstractartworks)and(ii)assessingwhether a commonly used statistical measure of information content in images has any bearing onorientation-dependentjudgements.RecentworksuggeststhattheFourieramplitude spectrumslopeplaysaroleinaestheticjudgementsofart(GrahamandField2008;Redies 2007;Rediesetal2007).Itmayalsoplayaroleinorientationjudgements. Inthefirstexperiment,participantswereshownfourversionsofeachartwork,oriented at0,90,180,and270degreesclockwisewithrespecttotheintendedorientation,andasked toselectthemostpleasingormeaningfulimage.Wasthecorrectorientationchosenmore oftenthanwouldbeexpectedonthebasisofchance? 2 Experiment1 2.1 Method 2.1.1 Participants EighteennaïveparticipantswererecruitedfromthestudentbodyatSussexUniversity,none ofwhomhadanypreviousformaltraininginart. 2.1.2 Visualmaterials Fortymodernartworkswereselectedfromthreeartbooks(GerhardusandGerhardus1979; Gibson1997;Hunter1997),scannedelectronically,andrescaledsothatthelongerdimension ofeachimagewas300pixels(toallowallfourversionstobevisiblesimultaneouslyona computermonitor).Fifteenimageshadavertical“portrait”aspectratio,andtwenty-two hadahorizontal“landscape”aspectratio.Theremainingthreeweresquare.Thecriteriafor inclusionofpaintingswerethat(i)therewasaclearintendedor“correct”orientation,(ii) theworkwasproducedbyanartistofinternationalrenown,andthereforeofhighaesthetic quality,(iii)thesetasawholerepresentedasampleofmodernartfromtheearlytomid 20thcentury,and(iv)paintingsvariedintheextenttowhichtheyexhibitedrecognisably representationalcontent.Figure1showsthreeofthepaintingsintheset.Afulllistofartists andtitlesforall40paintingsisavailableassupplementarymaterial. 20 GMather Figure1.Threeofthepaintingsusedintheexperiments.(a)KasimirMalevich(1878–1935)Suprematist Composition:AirplaneFlying,1914–15.(b)PietMondrian(1872–1944)Composition,1933.(c)Jackson Pollock(1912–56)One,Number31,1950.Alldigitalimages©2011,TheMuseumofModernArt,New York/Scala,Florence. 2.1.3 Apparatusandprocedure TheexperimentwascontrolledbyaFlashapplicationrunningonaDelldesktopPC.Stimuli appearedonthescreenofaSonyTrinitronMultiscanG400monitor(resolution1024×768). A single trial involved presentation of one of the 40 artworks (order randomised across participants). All four cardinal orientations were shown on-screen (0, 90, 180, 270 deg clockwise with respect to the correct orientation as defined in the source book; oblique frameorientationswerenotusedbecausetheyoccurmuchlessfrequentlyintrueartworks, andonlyafeworientationscouldbepresentedonthescreenatanacceptableresolution). Thescreenwasdividedvirtuallyintofourquarters,withoneimageineachquarter.The on-screenorderingofthefourorientationsvariedrandomlyfromtrialtotrialandbetween participants.Thecentre-to-centreseparationoftheimageswas17deghorizontallyand12 degverticallyatthe57-cmviewingdistance.Thelongerdimensionofeachimagesubtended 10.3deg.Imageswerepresentedagainstauniformdarkgreybackground(2.3cd/m2);the mean image luminance varied from image to image between approximately 3.7 and 38 cd/m2. Participantsweregivenanunrestrictedtimetovieweachsetoffouron-screenimages andusedamousetoclickanon-screenbuttonnexttoeachimageaccordingtothefollowing instruction:“Selecttheorientationwhichisthemostpleasingormeaningful.”Giventhat participantsmaydetectsomemeaningfulcontentinagivenpainting(evenifnonewas intendedbytheartist),thisinstructionacknowledgedthepossibilitythattheymayusethat informationintheirjudgement.Successivetrialswereseparatedbya0.5-sintervalduring Orientationjudgementinmodernart 21 whichthescreenremainedblank.ResponseswererecordedbytheFlashapplicationand transferredtoanExcelspreadsheetattheendofthesession. 2.1.4 Spectralslope The amplitude spectrum slope was estimated for each image using a script written in MATLAB®asfollows.Eachimagewasconvertedtogrey-scaleusingastandardYIQtransform (L=0.2989×R+0.5870×G +0.1140×B).Atwo-dimensionaldiscreteFouriertransform wasperformedonthelargestcentralsquaresectionoftheimage.Theslopeofthebest- fitlinetotherotationallyaveragedamplitudespectrum(plottedonlog–logcoordinates) wascalculated.Inordertoavoidspatialfrequencyartefactsowingtoimagesamplingand nonlinearities,linefittingwasrestrictedtothemiddlerangeoffrequenciesbetween0.25× and0.5×themaximumspatialfrequencyavailableintheFouriertransform(cfRediesetal 2007).Toassesspossibleorientationalanisotropiesintheimages,theratiosofhorizontalto vertical(H:V)powerandobliquetocardinalpower(O:C,whereC=([H +V]/2))werealso calculated. 2.2 Resultsanddiscussion Eachparticipantprovidedfourscoresthatcorrespondtotheproportionofresponsesateach ofthefouravailableorientations(0,90,180,270degclockwise)acrossthe40images.Figure2 showsthemeanscoresacrossthe18participants(±1SE).Sincetherewerefourorientations, chanceperformancefallsat25%.Observersreliablyselectedthecorrectorientationover the other three available orientations in almost 50% of trials, a figure which is close to thatreportedbyLindauer(1969).One-factorANOVArevealedahighlysignificanteffectof orientation,F(3,51)=85.06;p<.0001.Pairwisecomparisonsshowedthatresponsesatthe correctorientation(0deg)weresignificantlyhigherthanresponsesateachotherorientation. Noticethatalltheotheravailableorientationswereselectedmuchlessfrequentlyandat aboutthesamerateof16–18%orsoeach.Thisresultindicatesthatparticipantswerenot generallypronetoconfuseuprightwithinvertedversionsoftheimagesconsistently;they eitherselectedthecorrectorientationorchoseoneoftheothersequallyoftenoverall. Figure2.Meanpercentageresponsesateachorientationacrossthe18participants(±1SE).The correctorientationcorrespondsto0deg;otherorientationsareexpressedindegreesclockwiserelative tothisorientation.Thedottedlinecorrespondstochanceperformance. 22 GMather Themeanspectralslopeofthe40imageswas–1.248(SD0.221),closetothevaluecited inapreviouslypublishedstudyofabstractart(–1.13;GrahamandField2008).Therewasno significantcorrelationbetweenimagespectralslopeandthepercentageofcorrectorientation judgements (r = 0.0124, ns). Correlations of orientation judgements with measures of anisotropywerehigherbutnonsignificant:forO:C(obliquetocardinalpower),r=0.171;for H:V (horizontaltoverticalpower),r=–0.181. Oninspectionofthedataforindividualimages,itisclearthatthecorrectorientationwas judgedquiteconsistentlyinsomecasesbutnotinothers.Forcertainimages,itispossibleto discernapictorialelementintheimagethatmayhavefacilitatedadecision.Forexample, atreeshapemaybeseenoncarefulviewingofBraque’sHouseatEstague(88.9%correct). In other cases, it is not clear how participants were able to infer the correctorientation. Miro’sBirthoftheWorldisquiteabstract,asisvonWiegand’sCityLights,butbothsupported reliableperformance(55.6%and77.8%,respectively). ResponsesinExperiment1mayhavebeeninfluencedbydetectionofmeaningfulcontent insomepaintings,ratherthanbyaestheticpleasurealone,andthisfactormayhavemasked anyeffectofspectralslope.Asecondexperimentassessedtheextenttowhichrecognisable contentintheformofameaningfulobjectorscenewasdetectedintheexperimentalstimuli. 3 Experiment2 3.1 Method 3.1.1 Participants EightnaïveparticipantswererecruitedfromthestudentbodyatSussexUniversity,noneof whomhadtakenpartinExperiment1. 3.1.2 Materials,apparatus,andprocedure Thesame40modernartworkswereusedasforExperiment1.Theequipmentwasidenticalto thatinExperiment1.TheexperimentaltaskwasalsoalmostidenticaltothatinExperiment 1;allfourorientationsweredisplayedforeachpainting,butinthisexperimenttheon-screen instructionread:“Doeseachpaintingcontainrecognisableormeaningfulcontent?”Twoon- screenresponsebuttonswereavailable,labelled“Abstract”and“Recognisable.”Observers wereinstructedtoclickon“Recognisable”iftheysawanymeaningfulcontentinthepainting, otherwisetoclickon“Abstract”.Theywerealsoinstructedtobasetheiransweronanyofthe fourorientationspresentedandweregivenanunlimitedtimetomakeajudgement. 3.2 Resultsanddiscussion Themeanpercentageof"meaningful”responseswascalculatedforeachofthe40paintings andrangedfrom0%forsevenpaintingssuchasKasimirMalevich’sSuprematistComposition to100%forfivepaintingssuchasFernandLeger’sTwoWomenwithStillLife.Acrossthe 40paintings,thecorrelationbetweencorrectorientationjudgementsinExperiment1and “meaningful”responsesinExperiment2was0.65(p<.0001);thus,recognisablecontent clearlydidhaveasignificantrelationtoorientationjudgements,thoughonly42%ofthe variance in orientation judgements in Experiment 1 can be attributed to recognition of meaningfulcontent. Apartialcorrelationwasperformedacrossthe40paintingstoassesswhetherspectral slopeplayedaroleinorientationjudgementsindependentlyof“meaningful”judgements. Thecorrelationwas0.157(ns),soacrossthefullimageset,orientationjudgementswere dominatedbyrecognitionofmeaningfulcontent.Thesevenpaintingsinwhichnopartici- pantreportedanymeaningfulcontentatallhadameanspectralslopeof–1.26,andamean Orientationjudgementinmodernart 23 percentageofcorrectorientationjudgementsof23.02%(range0–55.6%).Inthesepurely abstractpaintingsthecorrelationbetweenpercentagecorrectandspectralslopewas0.64 (r2=0.41),sothereisahintthatpurelyabstractimageswiththeshallowestspectralslope areeasiesttojudge,thoughthesamplesizeisverysmall.Onepaintinginthisabstractset, JacksonPollock’sOne,wasjudgedcorrectlyin55.6%ofresponsesandhasaspectralslopeof –0.768. Thereareotherintriguingvariationsbetweenindividualpaintings.Thethreepaintings in Figure 1 are particularly interesting. In the case of Kasimir Malevich’s Suprematist Composition,72%ofresponsesselectedanincorrectorientationrotated90deganticlockwise fromthecorrectorientation,andnoneofthe18observersselectedthecorrectorientation. No observer discerned any meaningful content in this painting, which has a very steep spectralslopeof–1.56.AllobserversalsoagreedthatPietMondrian’sCompositioncontained nomeaningfulcontent,andonly5.6%ofthemselectedthecorrectorientation(theother threeorientationswerechosenequallyoftenbyobservers).Thepainting’sspectralslopeis –1.58.OnlyoneparticipantsawanythingmeaningfulinJoanMiro’sTheBirthoftheWorld,yet overhalfoftheparticipantsinExperiment1selectedthecorrectorientation.Thepainting’s spectralslopeis–1.38. Alimitationofthepresentstudywasthattherewasnosystematicattempttoassessthe degreetowhichparticipantswerefamiliarwithanyoftheartworks,thoughparticipants didnotreportanyfamiliarityduringinformaldebriefing.Forexample,Pollock’sOne(see Figure1)isfamousandshouldthereforearguablybequitefamiliartosomeparticipants. However,giventheabstractnatureofthework,itseemsunlikelythatuntrainedparticipants would have retained such detail in memory that they were able to judge its orientation correctly. 4 Conclusions Inagreementwithanecdotalreportsfromgalleries,thejudgementsofnonexpertviewers accordwiththeintendedorientationforabstractorsemiabstractartatlevelswellabove chance.However,performanceisfarfromperfect,consistentwithresultsinpreviousstudies. Themostimportantnewresultisthatorientationjudgementsaremediatedatleastinpartby someappreciationofmeaningfulcontentintheimage.However,inaminorityofpaintings,a consistentorientationeffectwasobtained,evenwhennomeaningfulcontentwasapparent. Theoriginoftheseorientationjudgementsremainstobeidentifiedconclusively,butimage spectralslopemayplayarole. Acknowledgements. I am grateful to Heather Dowling and Kirsten Challinor for assistance with stimuluspreparationanddatacollection.Iamalsogratefultotheeditorforsuggestingthesecond experiment. References Gerhardus M, GerhardusD,1979Cubism toFuturism: TheEvolution of the Self-Sufficient Picture (Oxford:Phaidon) (cid:74) GibsonAE,1997AbstractExpressionism:OtherPolitics(London:YaleUniversityPress) (cid:74) Graham D, Field D, 2008 “Variations in intensity statistics for representational and abstract art, and for art from the Eastern and Western hemispheres” Perception 37 1341–1352 doi:10.1068/p5971 (cid:74) HunterS,1997TheMuseumofModernArt,NewYork:TheHistoryandtheCollection(NewYork,NY: Abrams) (cid:74) JamiesonA,2008"Rothkohung‘wrongwayround’inexhibition"DailyTelegraph9November (cid:74) Johnson M G, Muday J A, Schirillo J A, 2010 “When viewing variations in paintings by Mondrian aestheticpreferencescorrelatewithpupilsize”PsychologyofAesthetics,Creativity,andtheArts4 161–167doi:10.1037/a0018155 (cid:74) 24 GMather LattoR,BrainD,KellyB,2000“Anobliqueeffectinaesthetics:HomagetoMondrian(1872–1944)” Perception29981–987doi:10.1068/p2352 (cid:74) LindauerMS,1969"Theorientationofforminabstractart"ProceedingsoftheAmericanPsychologi- calAssociation4475–476 Plumhoff J, Schirillo J A, 2009 “Mondrian, eye movements, and the oblique effect” Perception 38 719–731doi:10.1068/p6160 (cid:74) Redies C, 2007 “A universal model of esthetic perception based on the sensory coding of natural stimuli”SpatialVision2197–117doi:10.1163/156856807782753886 (cid:74) RediesC,HasensteinJ,DenzlerJ,2007“Fractal-likeimagestatisticsinvisualart:similaritytonatural scenes”SpatialVision21137–148doi:10.1163/156856807782753921 (cid:74) SwartzP,HewittD,1970“Lateralorganizationinpicturesandaestheticpreference”Perceptualand MotorSkills30991–1007doi:10.2466/pms.1970.30.3.991 (cid:74) Copyright©2012GMather PublishedunderaCreativeCommonsLicence aPionpublication

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