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A Colorful Report: Color Associations in Synesthesia Chan,WangChak [email protected] CognitiveScienceProgram,PhilosophyDepartment,LundUniversity,Sweden Supervisor:ChristianBalkenius Abstract Inrecentyears,academicresearchonsynesthesia,acuriousneurologicalcondition,hasgainedpopularityagain.Most studiesarefocusingonitsbiologicalevidences,commoncharacteristicsandgeneraltrendsoverapopulation.However, individualspecialcasesareoftenignored,inspiteofthefactthat diversity isoneimportantfeatureofsynesthesia.Inthis report,wecarryoutcasestudiesofthreeparticipantshavingcolorrelatedsynesthesia.Bypresentingthedetailsoftheir experiencesandanalyzingnumericaldata,weillustratetheuniquenessoftheir“settings”,andinvestigatetheunderlying principlesbeneaththeircoloringschemes.Severalkeyfindingsare:speciallightingandpatternproperties,categorization of colors, and localization of colors over color space. We also discuss the concept of “absolute color”, synesthesia and qualia,andtheoriginofsynestheticcolors. Keywords: Synesthesia/synaesthesia; Grapheme–color; Sound–color; Visual system; Color constancy; Lightness constancy;Qualia 1. Introduction Asimpledefinitionofsynesthesiais“stimulationsofone sensory module cause involuntary, automatic experience 1.1. What is Synesthesia? in another sensory module” (Cytowic, 1998). A person having synesthesia, called a synesthete , will have two or moreofhis/hersenses(likevision,,taste,touch, Synesthesia , a somewhat uncommon , comes from etc)interconnectedtogether.Herearesomeexamples.As the Greek roots “ syn ” (union) and “ aisthesis ” (sense), descried in Cytowic’s book The man who tasted shape literallymeans“unionofsenses”.Thiswordmayreferto (Cytowic, 1998), when Michael is tasting some foods or some multisensory metaphors in literature, or colorful drinks, he could feel geometrical shapes like “points” or interfacesusedinmediatechnology(likethefancyeffects “smooth spheres” on his skin and fingertips. Daniel in Windows Media Player), but in the world of Tammet, an autistic savant portrayed in the UK neuroscience, synesthesia is an actually existing documentary The Boy With The Incredible Brain , could neurological condition, which has many interesting and see colored threedimensional shapes when thinking of yettobeexploredqualities. numbers, and the shapes fuse together when he does arithmeticcalculations.Forthethreeparticipantsinthis report, they could see colors when looking at a letter, thinkingofaconcept,orlisteningtoasong(Figure1). In our everyday , there are metaphors like “his mood is blue today”, “the sound of horn is sharp ”. Or when you hear a fingernail scratching sound on a black board, you can feel a pain in your skin. However, synesthesia is an essentially different thing. What experienced by a synesthete is unique to the person, not commontoallhumans.Also,synestheticexperiencesare not metaphors, but real neurological existence. This is demonstrated by various psychophysical experiments Figure 1:Thecolorfulworldofsynesthesia. (Dixon et al. , 2000; Ramachandran & Hubbard, 2001a, Colorprintingisrecommendedforthisreport. 2001b; Smilek et al. , 2001), and recent brain imaging 1 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia techniques(Paulesu etal. ,1995;Nunn etal. ,2002)which wouldbealways“darkunsaturatedred”.Testsandretests shows brain activity when synesthetic colors are spanned through months or years confirmed this high experienced,muchthesameaswhenweseerealcolors. consistency,wheresynesthetescouldscoreupto90%in the consistency of their color choice, whereas For most people (nonsynesthetes), this kind of nonsynesthetes could only have 3040% of their colors phenomenonisexoticandhardtoimagine.However,for matchedindifferenttrials(BaronCohen etal. ,1993). thebearersthemselves,itisjustanaturalpartintheirlife. Their senses are connected since childhood, so without On the other hand, synesthetic experiences are highly aware of a difference with other people, they often feel individualized, and could be drastically diverse among surprised when knowing other people do not have it, or different individuals. This is one very important evenfeelfrustratedwhenisconsideredweirdandtalking characteristic, diversity . For example, a synesthete Andy aboutnonsense. wouldsay“number7hascoloroflightgreen”,whileBrian would say “No, no… 7 should be shinny brownishred!” Because synesthesia usually does not interfere with Cindy may see the synesthetic colors “painted” onto the normaldailyfunctioning,itis not consideredasamental text she is , while Demeter may see the colors disorder. Instead, many consider it as a gift, which is “insideshermind’seye”. believed to increase creativity and artistic ability (Ramachandran & Hubbard, 2001b). The participants in 1.3. Sub-types of Synesthesia this report are also able to take advantage of their connectedsensestohelpintheirstudyandcareer. We use the terminology of Grossenbacher and Lovelace (2001), where the source stimulation (e.g. a musical 1.2. General Characteristics of sound) is called an inducer , and the evoked experience Synesthesia (e.g. color) is called a concurrent . Each subtype of synesthesia can be interpreted as a mapping between an Synesthesiaisbelievedtobeararecondition.Estimation inducer and a concurrent, such as grapheme–color ofpopulationdiffersinstudies,rangingfrom1in20,000 synesthesia means that letters and numbers (collectively (Cytowic, 1989) to 1 in 20 (Galton, 1880), but a recent called graphemes) evoke colors, or sound–touch systematicstudypointedouttobe1in1150femalesand1 synesthesia means that auditory stimuli trigger in7150males(Rich etal. ,2005).Femalesarebelievedto somatosensorysensations. havemorechancetopossesssynesthesia(BaronCohen et al. ,1996;Rich etal. ,2005),butsomearguedthatthisis However,onlysomecombinationsofinducer—concurrent so only because females are more willing to tell others arecommonamongsynesthetes,likegrapheme–colorand about their personal feelings. Also, synesthesia tends to sound–color are the most popular ones (Day, 2005). occurinfamily(Galton,1880;BaronCohen etal. ,1996), Somearejustrareorevennotyetrecordedinliterature. soitisnotsurprisingthatbothparticipantSherselfand Ascoloristhemainfocusinthisreport,herewelistout hersisteraresynesthetes. thecolorrelatedsubtypes.

 Grapheme–color(letters/numberstocolors)

Synesthesia has several important characteristics:  Timeunit–color(weekdays/monthstocolors) automatic , involuntary , and consistent . Whenever you  Generalsound–color(e.g.alarmclockisblue) askasynesthete,heorshewilltellyou“Ican’thelp,itjust  Musicalsound–color(e.g.violinisred) happens.” The effects could not be erased or altered by  Musicalnote–color(e.g.D#noteisyellow) one’sownmind 1,andisautomaticallyinducedwhenevera  –color(spokentocolors) stimulusispresented.Moreover,sincethechildhoodofa  Taste–color;Smell–color synesthete, the associations are retained all over his/her  Pain–color; Touch–color; Temperature–color; life. That means, if letter A is “dark unsaturated red”, it Orgasm–color

 Personality–color(see“auras”aroundpeople) 1 Exceptsomechemicalsordrugs(e.g.coffee,alcohol)or mental condition (e.g. relaxed, focused) which could Otherpopularsubtypesthatarenotrelatedtocolors: temporary enhance or diminish the strength of  Number–spatialform(feelnumbersasatimeline) synesthesia(Cytowic,1998)  Timeunit–spatialform(feelaweek/yearasacircle)  Lexeme–taste(tasteinwords) 2 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia  Grapheme–personality(e.g.letterAisshy,number 2. Motivation and Aim 4islazy) In the early years of synesthesia research, researchers Synesthesiatendstoexistinmultipleflavors.Ifaperson mostly relied on the faithful reports on individual cases. hasonekindofsynesthesia,he/shewillbemorelikelyto As early as the nineteenth century, Galton (1880) wrote have the second and the third kinds, and so on an article in the magazine Nature about several (Ramachandran & Hubbard, 2001b). Indeed, a large interesting cases of visualized numerals, and opened the portionofsynestheteshaveatleastgrapheme–color,time eyes of the scientific community to this remarkable unit–color and/or sound–color, while in extreme case phenomenon. In Alexander Luria’s book The Mind of a someevenhaveuptotendifferentsubtypes. Mnemonist (Luria, 1968), he examined Solomon Shereshevskii, a person with fascinating photographic 1.4. How Synesthetes See Colors? and an extreme case of synesthesia interconnecting all of his senses (vision, hearing, touch, In particular grapheme–color subtype (letters and taste, smell, etc), for more then 30 years. And as numbersevokecolors),ifyouaskasynesthetehowhe/she mentioned earlier, Cytowic’s description (1998) of a perceives their synesthetic colors, the answer would be taste—shapesynestheteinhisbook Themanwhotasted difference from person to person. Some of them see the shape is also a very detailed individual investigation, colorsinanexternalspace,suchasprojectedontothetext whichleadtosomepioneeringideasinthefield. itself, or projected on a screen (like “12 inch in front of me” (Ward et al. , 2006b)). Some see the colors in an Inrecentyears,researcheschangedtheircoursetoamore internalspace,socalled“themind’seye”,orevenmerely quantitative approach. Massive data collection and knowthecolorsbutnotseeingthem.Dixon etal. (2004) statistical methods are employed in hope of discovering proposed a classification called projectorassociator some underlying principles. For example, Rich et al. distinction ,inwhichtheonesseecolorsinexternalspace (2005)investigated192grapheme–colorsynesthetes,and arecalled projectors ,whiletheonesseeininternalspace foundsometrendsintheircolorassociations(e.g.letterO oronlyknowthecolorarecalled associators . ismorelikelytobewhite,andletterDismorelikelytobe brown). Nikolić et al. (2007) found that, after taking Ramachandran and Hubbard (2001b) have proposed averageof19synesthetes,thereisaproportionalrelation another classification called higherlower distinction . In betweentheusagefrequencyofaletterandtheluminance case of lower synesthesia , colors are experienced of synesthetic color (e.g. letter E is the most frequently whenever graphemes are actually seen on a screen or usedletter,andhasbrightersynestheticcolorinaverage, paper.Thiscaseisprovedtobeatrueperceptualbehavior comparetorareletterslikeXandZ). by various psychophysical experiments (Dixon et al. , 2000;Ramachandran&Hubbard,2001a,2001b;Smilek These quantitative studies could provide us an overall et al. , 2001) instead of fabrication. In case of higher picture of the phenomenon. However, they often discard synesthesia , colors could be experienced by merely unusualdatainflavorofstatisticalanalysis.Forexample, imagining the graphemes in mind, without any external in the research of Rich et al. (2005), responses such as visualaid. “transparent color” or “clear color” are discarded. However, if you discuss with a synesthete, she will Hubbard et al. (2005) suspected that the higherlower probablyhaveherownstorytotell,insteadofjustalistof andprojectorassociatordistinctionsareinfactthesame color associations. There are often extra bits of thing, in a sense that a lower synesthete must be a information(e.g.participantKreportedthat“number2is projector,andahighersynesthetemustbeanassociator. dark pink, but also a golden border, silver sparkles However, in a statistical study of Ward et al. (2006b), around, and turquoise flowing inside ”) or many many of the participants have hybrid conditions, so the unexpected situations (e.g. participant B reported that two classifications should be orthogonal to each other. “number 1 is not really a color but a contrast between This is consistent with our three participants, having light and dark ”). These mindblowing descriptions are different combinations of higherassociator, lower oftenignoredandlostintheacademicliterature,andthey associator,andlowerprojector. are nevertheless valuable to the of synesthesiaitself,orevenshedlightontheunderstanding ofhowthehumanbrainworks. 3 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

B, Swede, male, right-handed Therefore, in this study, we will reemploy the oldstyle Occupation:universitystudent method – individual case studies. Together with Subtypes: grapheme–color (Roman alphabet, digits, numerical analysis on individual data, we hope to find higher numbers), time unit–color, pain–color, other some remarkable but rarely documented aspects in specialkindsofconcept–colorassociations. synesthesia. Classification: Higher (evoked by concepts), Associator (colorsseeninternallyinmind’seye) 3. Materials and Methods K, Swede, female, right-handed Occupation:universitystudent Werecruitedparticipantswhohaveatleastonesubtype Subtypes: grapheme–color (Roman alphabet, digits), of colorrelated synesthesia. They are either timeunit–spatialform,othersoundrelatedassociations. acquaintancesoftheresearcher,ormadecontactfromthe Classification: Lower (evoked by ), Associator internetforuminSwedishwebsiteSynestesi.se . (colorsseeninternallyinmind’seye) We had several interviews with each of the participants, S, Swede, female, left-handed taking notes of their synesthetic experiences. The Occupation:universitystudentandphotographyassistant informationgatheredincludes: Subtypes:sound–color,color–sound,personality–color. Classification: Lower (evoked by perception), Projector (1) General information – Such as how did they learn (colorsseenexternallyatapositionbehindtheeyes) about their synesthesia, how it helps or troubled in theirdailylife. 3.2. Gathering the General Information

(2) Listofcolorassociations–Whichgraphemeorsound isrelatedtowhichcolor.Selectedportionofthelists Firstly,alistedofgeneralquestionsaboutsynesthesiaare will be presented as tables and color lists in this formulated, as shown in Appendix A. We then discuss report. with the synesthetes in facetoface interviews, email conversations or MSN chats. Responses to the questions

(3) Qualities of color associations – Such as how the provided more understanding of their particular colors are experienced, how strong are the conditions, their similarity to common synesthesia associations, or any extra properties like characteristics or how they differ from them. Also, the transparencyandtexturalpatterns. responsesallowedustonarrowdownthefollowingpartof questions, i.e. knowing which subtypes could determine Thefollowingsectionsdescribetheparticipantsandhow whichkindofdatalisttobecollected. wegatheredtheinformationfromthem. 3.3. Gathering the List of Color 3.1. Participants Associations Therearethreeparticipantsinthecurrent study.Allare Lists of color associations were obtained from the Swedish citizens, one male and two females. As agreed participantsasrawdataforfurtheranalysis. witheachofthem,theinformationgatheredininterviews couldbepublishedinthisreport,andnopersonalspecific The inducing stimuli are graphemes, abstract concepts, informationwillbedisclosed. andsounds.Graphemesweredrawnorprintedonapaper orcomputerscreen,buttheparticipantscouldchooseto Notethatallofthemusethe Swedishalphabet,whichis imaginethem,incasethecolorsinducedweremorevivid. basicallyEnglishalphabetplusthreeSwedishlettersÅ,Ä, Concepts were imagined in mind. For audio stimuli, Ö.Theterm“Romanalphabet”isusedhereincontrastto musical instruments and human singing voices were theGreekalphabet. providedbyplayingsongsinMP3formatusingWindows MediaPlayer.Theparticipantwasfreetorepeatanypart ofthesongtogetenoughstimulating,andearphoneswere 4 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Figure 2:Thecolorpalettebooklets:Pantone®ColorFormulaGuide(left),ReproFarveskala (center),MethuenHandbookofColour(right) usedtominimizeenvironmentalnoise.Ontheotherhand, 3.3.2. Color Palette Booklets human speaking voices and other sounds are widely availableintheenvironment. We provided several choices of the printed color palette booklets,asshowninFigure2. The induced concurrents are colors, patterns and other additional properties. For colors, we provided two Pantoneisawidelyused,proprietarycolorsystemusedin different ways for participants to choose the best designandmanufacturingindustries.Weuseoneoftheir matching ones. One is the color palettes booklets, which booklet Pantone® Color Formula Guide (Solid Matte) provide a handy and realistically feeling color palette. whichprovides1,114colorchoices,more orlessin order AnotheroneisthecomputerprogramColorPicker,which of hue and brightness. Each color has a Pantone color provide an interactive color choosing environment. code(e.g.“212C”)printedonthebooklet,fromwhichthe Participants K and S prefer the former way, while correspondingvaluesinRGB,HSVandCIEL*a*b*color participantBprefersthelater. models can be obtained using Adobe Photoshop “color libraries”function.Thisbookletprovidesawiderrangeof 3.3.1. How to Specify Colors selectable colors (especially the vivid ones) then the followingtwopalettes,butislessorganized. Acolorcouldbespecifiedbywordingslike“blue”or“dark saturated blue”, as used in most studies of synesthesia. Repro Farveskala is a book with colors indexed with However,tobemorepreciseforanalysis,numericalvalue different combinations of cyan (C), magenta (M), yellow willbeabetterchoice. (Y),andblack(K)intheCMYKcolorspace.Thechoiceof colorsisrestrictedbytheCMYKprintingmethod. A colormodel isamathematicalrepresentationofcolors, whereeachcolorcanbespecifiedasaofthreeorfour Methuen Handbook of Colour is a book with colors numbers. RGB, CMYK, HSV, and CIEL*a*b* color indexed in three dimensions: hue (each page), intensity modelsaretheonesusedinthisreport.RGBmodel,the (eachrow),and(eachcolumn).Eachcolorhasacode mostwellknownincomputertechnology,representseach (e.g. “21A8”). Again, the choice of colors is restricted by color as red (R), green (G) and blue (B) values (all have theCMYKprintingmethod. range0to255).Forexample,aparticularbluecouldhave RGBvalue(25,30,200).CMYKmodelismostlyusedin Thecolorpalettebookletshaveadvantagesofbeingeasy printingindustry,withcyan(C),magenta(M),yellow(Y), to use and allowing to compare among colors, but have and black (K) values (all have range 0100). HSV model disadvantages of restricted color choices and subject to has values in hue (H, range 0360), saturation (S, range different lighting conditions (such as lighting color and 0100), and value/brightness (V, range 0100). reflection, as seen in Figure 2). To cater this lighting CIEL*a*b*modelislesscommonbutneverthelessuseful, problem, we employ soft sunlight or white lights as with values in luminance (L*, range 0100), blueyellow possiblewhenusingthecolorbooks. hue(a*,rangeabout100to100),andgreenredhue(b*, range about 100 to 100). For how to convert values The color codes obtained were converted to HSV value, betweencolormodels,seeAppendixB. andthenrecordedinrawdatatable.Ifasynestheticcolor is described as inbetween two colors from booklet, 5 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Figure 3: (Left) Interface of the ColorPicker program. (Right) Its 3 viewing modes – color only,coloredbackground,coloredtext. average is taken in the HSV values, or if it is a Acolorrectangleisdisplayedatthecenterofprogram,for modificationofacolorfrombooklet(e.g.“Pantone5807C whichtheparticipantcanadjustitscolorbypressingkeys but lighter”), corresponding adjustment is made to the on the keyboard (e.g. press the Q key to increase red in HSVvalues. RGB, press the Z key to increase hue in HSV). After the participant was satisfied with the adjusted color, he/she 3.3.3. Computer Program – could save it to the color list, and finally the list of RGB ColorPicker colordatawassenttotheresearcher. Thecolorrectanglecanbedisplayedinthreemodes:color AcomputerprogramcalledColorPicker wasdevelopedto only, colored background with white/black text, or runoninternetbrowsers(MicrosoftInternetExploreror coloredtextwithwhite/blackbackground.Theparticipant MozillaFirefox).SeeFigure3foritsscreenshot. might find it more convenient to match colors in a particularviewingmode. The computer program used on a computer screen has advantages of allowing to choose most colors (as in the sRGB color space, see Figure 4), allowing fine tune of colors, and the participant can use it at home. Disadvantages are that operations need , and some computer monitors (especially the LCDs of laptop computers) shows varying colors in different viewing conditions,asreportedbyparticipantB. 3.4. Gathering the Quality of Color Associations Duringthephaseofgatheringcolorassociationslistinthe last section, the participants were asked for any extra Figure 4:ColorrangeprovidedbysRGBcolor propertiesforthecolors,suchasanyspecialpatternsand space (the triangle) within CIE 1931 color iftheassociationistooweak.Someofthespecialpatterns space (the horseshoe shape, gamut of human arehardtobeexplainedbytheparticipants,andin this vision). case, metaphors or illustrations might be used. The ImageusageunderGNUFreeDocumentation License 6 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia questionsarealsolistedinAppendixA. mathematicalconcepts,countries,andotherconcepts. 3.5. Analysis of Data 4.1.1. Raw Data from B In order to discover any underlying relationship among Colordataarecollectedfromvariousemailconversations colordata,weconvertthefirsthandcolorvalues(usually and interviews. Those collected in the earliest days (e.g. RGBorPantonecolorcode)intoothercolormodels,then mathematical concepts, countries) are only color names, use Microsoft Excel to analyze and plot graphs. It turns thus without numerical values. Later ones are collected outthatHSVandCIEL*a*b*colormodelsarethemost withthecomputerprogramColorPicker. useful ones, where we can observe the grouping and distributionofcolorsrespectively. To compare the data from two different environments, colors of weekdays are collected twice with ColorPicker. Time 1 was 24Feb2008, performed in my laptop 4. Results computer (which he commented that the LCD monitor tendstobebluish)atapubliclibrarywithbrightlighting. Each of the participants shows a very unique profile of Time 2 was 3 days later, 27Feb2008, performed in his his/hersynesthesia.Bisspecialinhavingcolorsformany computerathomewithdimlighting. kinds of concepts (e.g. mathematics), together with the lightingpropertiesinhiscolors.Khasseveralgraphemes Numbers associated with dynamic and even artistic patterns. And what make S unique is her bidirectional connection Inducer Color description Color (HSV) 0 Lightcontrast - between hearing and color vision, but with different 1 Darkcontrast - settings. 2 Brownishred 8, 73, 65 3 Quitesaturatedyellowwith 52, 79, 90 somehintsofbrown In this section, results and analysis will be presented 4 Ascolor2(brownishred)but 12, 77, 56 participantbyparticipant. darkerandmorebrown 5 Bluebutsomewhatdarker 230, 59, 69 andlesssaturatedthanpure Firstlyintherawdatapart ,thelistofcolorassociations, blue as well as any special properties and exceptional cases 6 Whiteorslightlyoffwhite 60, 0, 98 towardsbrownorange (markedas blueitalic )areshownintableformat.“Color 7 Darkblue,almostblack 250, 73, 23 description” column is either the original wordings from 8 Ascolor2(brownishred)but 18, 72, 58 theparticipant,oracolornameaddedbytheresearcher. moretowardsbrownand somewhatlesssaturated “Color (HSV)” column has the values of color hue (H, 9 Palebutdistinctyellow 60, 49, 100 range 0255), saturation (S, range 0100), and 10 Blackorcontrast - value/brightness(V,range0100). 11 Metallic yellowwithhintsof 53, 69, 81 grey 12 Ascolor2(brownishred)but 0, 81, 69 Alsoincludedarecoloredillustrations,whichcouldgivea lesssaturated moreintuitivefeelingoftheircolorfuluniverse. 13 Varying,butusuallylikecolor 24, 71, 87 11( metallic yellow)butwith morered Following that is the description part , showing general 14 Varying,butoftencloseto 12, 71, 43 color4(brownishred)or characteristics and qualities as described by the color7(darkblue) participant. Finally in the analysis part , we give deeper 15 Almostsaturatedblue 240, 75, 75 observationsandanalysisontheinformationcollected. 16 White 0, 0, 97 17 Blackorpossiblyverydark 270, 100, 12 blue 18 Varying,butoftenlikeapale 12, 53, 81 versionofcolor8(brownish 4.1. Participant B red) 19 Likecolor9(paleyellow)but 60, 30, 100 B has color associations with a wide range of inducers. lesssaturated 20 Likecolor2(brownishred) 0, 83, 75 Common types are numbers, Roman alphabet, weekdays butlighterandsomewhat and months; uncommon types are Greek alphabet, morered 24 Brownishred 14, 89, 59 7 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Inducer Color description Color (HSV) Inducer Color description Color (HSV) 30 Paleyellow 56, 61, 97 Wednesday Lightblue 229, 18, 100 40 Brownishred 16, 88, 53 Thursday Darkblue 240, 100, 31 50 Blue 243, 81, 69 Friday White 240, 5, 100 60 Lightgray 0, 0, 87 Saturday Gray 0, 0, 81 70 Black 0, 0, 0 Sunday Black 270, 100, 12 80 Brownishred 15, 80, 62 90 Paleyellow 63, 49, 100 100 Brownishred 15, 50, 25 Months 500 Darkerblue 240, 100, 50 1,000 White 0, 0, 97 Inducer Color description Color (HSV) 1,000,000 Darkyellow 50, 100, 75 January White 240, 6, 97 1,000,000,000 Verydarkblue 264, 100, 15 February Lightbluegray 21, 100, 62 March Redtowardsorange 104, 73, 81 Roman alphabet April Green 230, 54, 69 Mat Blue 65, 30, 100 June Paleyellow 62, 62, 100 Inducer Color description Color (HSV) July Yellow 18, 80, 62 A Brownishred 4, 78, 59 August Brownishred 100, 20, 94 B Somethinginbetweenpink 25, 43, 100 September Palegreen 42, 58, 75 andorange October Blackordarkred, 58, 50, 94 C Lightgray 0, 0, 90 quitevague D Unsaturatedgreen 126, 75, 75 November Brownishyellow 240, 6, 97 E Reddishbrown 10, 66, 56 December Vague,possiblyblack 240, 9, 34 F Unsaturatedblue 232, 57, 62 ordarkcontrast G Palebluegray 231, 13, 81 H Palebrownishyellow 64, 27, 100 I White 0, 0, 99 Greek alphabet J Paleyellow 60, 32, 100 (Onlythoseusedinmathematicsandphysics) K Darkblue 238, 51, 50 L Darkred 5, 78, 43 M Slightlyunsaturatedyellow 60, 62, 100 Inducer Color description Color (HSV) N Green 135, 100, 72 (most my wordings) O Paleyellow 61, 43, 100 α(alpha) Brownishred 11, 100, 65 P Unsaturatedgreen 134, 100, 53 β(beta) Pink 20, 51, 90 Q Orangebrown 34, 61, 84 Γ(capitalgamma) Darkgray withlackof 0, 0, 25 light R Yellow 56, 57, 96 S Blue 234, 55, 62 γ(gamma) Lightgray 0, 0, 65 (capitaldelta) Black - T Gray 0, 0, 75 U Paleyellow 61, 49, 100 δ(delta) Green 120, 100, 62 ε(epsilon) Brown 21, 100, 53 V Pinkwithalittlebitoforange 22, 49, 100 W Pink 25, 29, 100 ζ(zeta) Darkgray 0, 0, 31 η(eta) LikeN(green),but 120, 50, 37 X Orangebrown 15, 66, 56 darkeras affectedbyxi Y Brownishorange 24, 68, 78 (symbolslearntatthe Z Brownwithhintsoforange 17, 93, 45 sametime) Å Unsaturatedvioletblue 240, 8, 75 Θ(capitaltheta) Lightgray 0, 0, 75 Ä Darkvioletblue 276, 100, 37 θ(theta) Lightgray 0, 0, 94 Ö Darkblue,almostblack 248, 87, 48 ι(iota) White 0, 0, 100 κ(kappa) Darkblue 240, 69, 40 Weekdays (time 1) Λ(capitallambda) Darkgray 0, 0, 37 λ(lambda) Slightlyglowing light 22, 82, 72 brown Inducer Color description Color (HSV) (mu) Slightlyglowing light 60, 55, 98 Monday Brownishred 10, 87, 43 yellow Tuesday Brownishyellow 38, 96, 62 ν(nu) Lightbrown 22, 70, 84 Wednesday Lightblue 222, 54, 100 Ξ(capitalxi) Darkbrown 0, 100, 37 Thursday Darkblue 253, 100, 12 ξ(xi) Black 0, 0, 0 Friday White 210, 4, 81 ο(omicron) lightyellow 63, 30, 100 Saturday Gray 24, 3, 52 Π(capitalpi) Brownishyellow 51, 72, 90 Sunday Black 240, 100, 6 π(pi) Brownishyellow 45, 71, 87 ρ(rho,density) Green 132, 100, 62 ρ(rho,radius) Brownishyellow 51, 78, 87 Weekdays (time 2) Σ(capitalsigma, Brown 28, 100, 59 sum) Σ(capitalsigma, Darkblue 240, 71, 43 Inducer Color description Color (HSV) variable) Monday Brownishred 15, 80, 62 σ(sigma) Lightgrayishblue 240, 15, 59 Tuesday Brownishyellow 55, 100, 84 τ(tau) Darkgray 0, 0, 37 8 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Inducer Color description Color (HSV) Inducer Color description (most my wordings) Year Vague,brownishorangeor υ(upsilon) Lightbrown 33, 75, 75 black Φ(capitalphi) Black 0, 0, 0 Meter Brownishyelloworcontrast φ(phi) Lightgray 0, 0, 81 Distance Palegreenorcontrast χ(chi) Black 0, 0, 0 Ψ(capitalpsi) Brown 27, 100, 62 ψ(psi) Lightbrown 32, 84, 81 Elementary particles (in physics) (capitalomega) Gray 0, 0, 56 ω(omega) Pink 12, 62, 100 Inducer Color description Color (HSV) (my wordings) Mathematical concepts Electron Blue 253, 69, 81 Positron Reddishpink 356, 79, 75 Proton Pink 10, 55, 81 Inducer Color description Neutron Gray 0, 0, 72 +(plus) Darkcontrast Neutrino Lightgray 0, 0, 90 (minus) Lightcontrast Antineutrino Gray 0, 0, 80 ∫ (integral) Blackordarkcontrast Muon Darkblue 250, 66, 56 ∑(summation) Darkred Higgsboson White 0, 0, 100 *(multiplicationasterisk) Nothingoradarkerand transparent versionofcolor 11(yellow) Chemical elements ×(multiplicationcross) Like"*"( transparent yellow) orclosetocolor4(brownish Inducer Color description Color (HSV) red) (my wordings) —(multiplicationdot) Blackorcolor7(darkblue) H(hydrogen) Lightpink 20, 33, 97 ×(vectorcrossproduct) Brownishred He(helium) Pink 7, 49, 100 /(division) Nothingorcolor7(darkblue) Li(lithium) Lightgray 0, 0, 84 =(beforeproven) White C(carbon) Gray 0, 0, 62 =(afterproventrue) Black N(nitrogen) Green 124, 62, 75 ≠(inequality) Blackorreddishdarkbrown O(oxygen) White 0, 0, 100 π(pi) VeryclosetoTuesday F(fluorine) Blue 231, 53, 81 (brownishyellow) Ne(neon) Lightyellow 60, 18, 100 sin(sine) White Na(sodium) Yellowishgreen 101, 100, 81 cos(cosine,earlier Similartopi(brownish understanding) yellow)butdarker Si(silicon) Darkyellow 53, 69, 81 P(phosphorus) Green 124, 59, 69 cos(cosine,deeper Palebluewithalittlebitgray understanding) S(sulfur) Darkyellow 49, 73, 94 tan(tangent) Black Cl(chlorine) Lightgrayishblue 240, 16, 100 hyperbolicfunction Brownishyellow Ar(argon) Darkpink 7, 57, 87 ℬ,ℋ,ℒ ,etc(calligraphic Darkerversionoftheletter K(potassium) Darkblue 253, 65, 62 lettersdenotingsets) itself Ca(calcium) Lightgray 0, 0, 97 Kr(krypton) Darkpurple 260, 75, 50 Xe(xenon) Lightpink 20, 40, 94 Measurement-related concepts Cs(cesium) White 0, 0, 100 Rn(radon) Lightgreen 138, 71, 87 U(uranium) Green 105, 72, 69 Inducer Color description Pu(plutonium) Darkblue 240, 100, 56 Time White Positiveinfinity Brownishorange Negativeinfinity Lightcontrast Countries Future(shortterm,positive) Vague,possiblyyellow Future(longterm, Lightblue problematic) Inducer Color description Future(scifiway) Grayishblue, metallicsurface Sweden Nostrongcolor diffusinglight Denmark White Past Vague,possiblypalegreen Norway Darkred History Possiblybrown Finland Lightblue Now Yellow Iceland Vague,possiblywhiteorgray Tomorrow Vague,possiblypaleyellow Britain Whiteorpaleorange Early Brownornocolor England Darkred Late Brownishred Scotland Nostrongcolor,possibly Second Unsaturateddarkblue brownishyellow Minute White Wales Darkblueorgray Hour Vague,possiblypale Spain Yellow brownishyellow France Orangebrownishyellow Day Nocolor Germany Darkblueornocolor(after Month Brownishyellow learntmore,colorassociation decreases)

9 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Figure 5: B’s colors for various inducers: numbers, weekdays, months, Roman alp habet, and Greekalphabet.

Inducer Color description General characteristics Poland Grayishlightblue Italy Brown USA Red There are several interesting characteristics in B’s Mexico Orange Russia Nostrongcolor,possibly colorrelatedsynesthesia,asthefollowings. green Ukraine Yellow His synesthetic colors are very subtle and not salient in Turkey Brownishyellow Kazakhstan Darkbrown hisconscious,ashe“usuallydoesn’tthinkaboutit”.Due Mongolia Brownishyellow tothis,heneedsmucheffortor“mentalpower”tothink China Yellow aboutthecolors.Indeed,ittookmanyroundstocomplete Vietnam Whiteorlightgrey Thailand Darkgreyordarkcontrast the long color lists above, only being exhausted after Philippines Whiteorpalegreen thinkinghard. Japan Blackordarkblue India Brown Pakistan Darkgreen Althoughbeingsubtle,theeffectisclearwhenindividually Afghanistan Vague,darkred colored digits or letters appear in “wrong colors”, for Australia Brownishorange exampleifaletterbluetohimisprintedinred.Inrelation tothis,Bisoftenparticularorevenpickyinmatchingthe Different versions of his own name colors. When using ColorPicker, several factors such as qualityofcomputerscreen,viewingangletothescreen,or Inducer Color description evendifferentportionofthescreencoulddrasticallyaffect Whenfirstlearnedhisname Darkblue hischoices. Wheninnerchangesinlife Darkblue Whenconsideringhisshyness Salmonpink/orange Whenthingsgoasplannedbut Bluewithvioletmixed Thecolorsusuallycomefromtheconceptbehind,notthe notveryinteresting Whenmanythingshappening Black physical perception of a word. However, he could switch atthesametime among different association levels. For example “ONSDAG” (Swedish word for Wednesday), when focusing on the concept (Wednesday), the synesthetic 4.1.2. Description of B’s Synesthesia colorisblue,associationisstronger;whenfocusingonthe worditself(“ONSDAG”),the colorisamixtureofyellow

10 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

(letterO)andred(letterA),i.e.emphasisonthe, Also, the metallic color of number 11 is described as a associationisweaker;whenfocusingonindividualletters, brass surface (alloy of copper and zinc) reflecting light, eachcolorisjustthesameasinRomanalphabet. possibly due to association with an analogue clock with brasssurface. Thesynestheticcolorsaresometimesambiguous,varying orcouldswitchbetweentotallydifferentcolors,especially Roman alphabet, weekdays and months inthecaseofmathematicalconcepts.Thisoftenresulted frommultipleconceptsbehindaninducer,e.g.number13 In contrast to numbers and concepts, B’s colors for couldbesimilartocolorof3(theusualcase)orcolorof8 Romanalphabet,weekdaysandmonthsarequitenormal (whenthinking13as8+5).Moreexamplesaregivenin as other synesthetes, without showing any special thefollowingsubsections. properties. Lighting properties are prominent additional features to There is no difference between capital and small Roman many of his colors, e.g. metallic, transparent, and letters,aswellasindifferentfonttypes. “contrast”.Theyarefurtherdiscussedineachsubsection. Note that for weekdays and months, B can switch colors Numbers among concept level, word level and letter level, as the example “ONSDAG” in General Characteristics section Normally in grapheme–color synesthesia, colors only above. applytodigits0to9,butinB’scase,thehighernumbers alsohavecolors.However,thedigits0to9havestronger Greek alphabet and mathematical associations,whilehighernumbersusuallygottheircolor concepts fromlowernumbercounterparts. B’s colors are the most complicated for mathematical AsalsonoticedbyBhimself,thecolorsarecorrelatedin concepts, including the Greek letters, but are also the certainways,suchassimilaritiesamongvariousdigitsand most vague and uncertain. In several occasions, he among different number series. This will be further expressedadifficulty(“itishopeless”)toexplainwhathe exploredintheanalysispart. experiences. Note that numbers 0, 1 and 10 are not colors but His colors of Greek letters do not come from the Greek “contrast”asdescribedbyB.Itisaveryvagueexperience, language as he did not learn the language itself, but are and is almost impossible to explain in simple words. stronglyrelatedtotheirusageinmathematicsandphysics. Several attempts using metaphors like “left and right ThatiswhysomeoftheGreeklettershavemorethanone visual fields seeing a light color and a dark color colorwhenassociatedwithdifferentconcepts. simultaneously”, “a shallow drawn 0, with white (light) inner and black (dark) border”, “a transparent inklike Note the special lighting properties, such as glowing liquidallowedtoseethrough”,orastheillustrationshown colors of small letters lambda and mu, “contrast” of inFigure6.Balsorankstheirtransparencyas0themost, addition and subtraction, transparent color of 1theleast,and10inbetween. multiplication,and“lackoflight”ofcapitallettergamma. Thereisevenmorecomplicatedcolorblendingeffectsfor the mathematical concepts, especially when different symbolsarecombinedorformanequation.Forexample, “2π” has a color between 2 and π; the hyperbolic sine function “sinh()” has both color of sine (white) and hyperbolic (brownish yellow) activated, but mixed together; the fraction “2/3” is “some kind of connection betweencolor2and3,andisdarker”becauseofdivision, Figure 6:“Lightcontrast”and“darkcontrast ” whichisdarkblueincolor. fornumbers0and1asillustratedbyB.

11 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Also, several concepts can have more then one versions. with different life periods or viewing of himself. This Forexample,“equality”havedifferentcolorswhenbefore maybeaspecialcaseofpersonality–colorsynesthesia. oraftertheequationisproven;“cosine”hastwoversions, one is the earlier understanding as a simple function (using degree), and one is the deeper understanding 4.1.3. Analysis of B’s Synesthesia (usingradian),likeinsideequationsin²x+cos²x=1. Grouping of colors Finally, to explain the occurrence of “contrast” in both numbersandmathematics,Bnoticedagrouping:number We could find some trends and groupings in B’s 0andsubtractionarerelatedtotheconcept“emptiness”, synestheticcolors,eitheralreadynoticedbyBhimself,or thus having “light contrast”; number 1, addition and arosewhencarefullycomparingthedata. integral are related to “fullness”, thus having “dark contrast”. Themostobvioustrendscouldbefoundinthenumbers, asillustratedinFigure7. Other concepts and lists As reported by B, there are relationships among lower B has colors for countries which are known to him, but numbers – (1, 7), (0, 10), (2, 4, 8), (3, 9, 11). These notthoseunfamiliartohimlikeAfricancountries,aswell groupings could be explained by their underlying aswaterbodieslikeseasandlakes. impressions, such as being odd out (1, 7), emptiness (0, 10),powersof2(2,4,8),andoddnumbers(3,9,11).In Notethathedoesnothaveastrongcolorassociationwith contrast,5and6arequitedistinctones. Sweden, his home country. Instead, he has color associations with different provinces of Sweden. Also for On the other hand, colors are similar within number Germany, which has a color before, but the color series.2,12and20areallbrownishred,5,15,50and500 association turned weak after knowing more about the arebluesfrompaletosaturated.Thatmeansthecolorsof country. numbers are grouped by their principle digit . We define principledigit asthemostimportantdigitinsynesthetic Note the interesting color associations of his own name, coloring of numbers, for example, 5, 15, 50 and 500 all

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0 0 2 12 20 3 13 30 4 14 40 5 15 50 6 16 60 7 17 70 8 18 80 9 19 90 2 12 20 3 13 30 4 14 40 5 15 50 6 16 60 7 17 70 8 18 80 9 19 90 Number Number

Figure 7:B’scolorsfornumbers,groupedbyprincipledigit(upperleft),andtheircompone ntanalysisin colorhue(upperright),saturation(lowerleft),andvalue/brightness(lowerright).

12 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

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Figure 8: Comparison of B’s colors for Roman and Greek alphabet ( upper left), and their component analysisincolorhue(upperright),saturation(lowerleft),andvalue/brightness(lowerright). have principle digit 5. This is consistent with our arithmeticunderstanding(15is10+5,50is5×10),and WeplotthethreegraphsinFigure8.Again,colorhuesare also their naming in Swedish and English (“fifteen” and very close between Roman and Greek counterparts. For “fifty” derived from “five”, or in Swedish, “femton” and color saturation and value/brightness, most of the cases “femti”derivedfrom“fem”). arethatGreekletterhasmoresaturatedanddarkercolor (e.g. alpha, beta). In a few cases, oppositely, the Greek To be more quantitative, we plot graphs with respect to letter has less saturated and lighter color (e.g. lambda, color hue, saturation and value/brightness in HSV color mu),whichmayduetotheirglowingeffect. model.Since0and1arespecialcases,weonlyincludethe principledigitsfrom2to9.Resultinggraphsareshownin In conclusion, inducers related to each other often have Figure7. very close color hue but deviated color saturation and value/brightness.ThisisremarkablebecauseBalwaysuse Asseeninthegraphs,colorhueswithinaprincipledigit RGB model to adjust his colors, while still show a groupareveryclosetoeachothers.Thisconfirmsthatthe consistency in color hue after converting to HSV model, numbersarerelatedinsynestheticexperience. keep in mind that RGB and HSV models do not have simplerelationsinbetween. There are no obvious trends in color saturation and value/brightness. However, as observed in the color This result could be compared with several existing blocks, higher numbers often have a more saturated or theories. Beeli et al. (2007) found that graphemes with darkercolorthenthelowercounterparts,asingroupsof2, higherusagefrequency(e.g.letterE)tendtohaveahigher 5,6and7. luminance(i.e.highercolorvalue/brightness).Thiscould beappliedtoherethatlowernumbersandEnglishletters Similarly,wefindsimilaritiesbetweenRomanandGreek are used more frequently compared to higher numbers letters.Somearerelatedbylinguisticcorrespondence(e.g. andGreekletters,hencesimilarhuebuthigherluminance. alphatoA,deltatoD),somearebyvisualappearance(e.g. Ontheotherhand,CohenKadoshetal. (2007)foundthat etatoN,nutoV,omegatoW). within 0 to 10, larger numbers tends to have lower

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Figure 9: Comparison of B’s colors for weekdays in two different environments (upper left), and their componentanalysisincolorhue(upperright),saturation(lowerleft),andvalue/brightness(lowerright). luminance, consistent with our assertion that larger colors in opposite to the equipment and lighting numbers with a principle digit group tends to be more conditions.Firstly,colorintime2aremoretendstoblue saturatedanddarker. (towards value 240), except Saturday and Sunday that theyaregreyandblack,colorhueisnegligible.Secondly, Variations over environment colorsintime2(indimlighting)areconstantlybrighter thenintime1(inbrightlighting). We could also study the color variations over different environments. Colors of weekdays are chosen in two Thiscounteradjustmentisremarkable,andmayledtoa environmental conditions – one is a somehow bluish concept called “absolute color”, as will be further computer screen in bright lighting, and one is another discussedinGeneralDiscussions(section5.5Sensitivity computer screen in dim lighting. Color hue, saturation ofcolormatchingand“absolutecolor”). andvalue/brightnessarecomparedingraphs,asshownin Figure9. Distribution over color space Here, we found that the participant tried to adjust the Among B’s synesthetic colors, yellow, brownishyellow

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40 40 Numbers Blue 20 20 Roman Green 0 Greek 0 Red -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 Time units -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 -20 -20 Yellow grey-scale b*(blue-yellow) Others b* (blue-yellow) Grey-Scale -40 -40

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Figure 10:DistributionofB’scolorsintheCIELaba* × b*space,withdataseriesininducer type(left)andcolortype(right).

14 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia andbrownishredarethemostfrequentones,whileblue Inducer Color description with Color (HSV) Pantone color code andgreenarerarer,nottomentiontheabsenceofpurple. 0 White 0, 0, 100 1 Black 0, 0, 0 To investigate any trends in the overall color collection, 2 Pink(212C) withgolden Pink: border,silversparkles 335, 68, 96 weplotgraphswithaxesa*(determiningblueyellowhue) around,andturquoise Turquoise: against b* (determining greenred hue) in CIEL*a*b* (2995C)flowinginside 195, 100, 88 colormodel.Allcolorslistedintherawdatatablehaving 3 Brown(470C) 22, 77, 62 4 Darkpink(7425C) 341, 78, 74 HSV value are included. Resulting graphs are shown in 5 Brightyellow(109C) 49, 100, 100 Figure10. 6 Blue(286C) 219, 100, 65 7 Orangeyellow(1225C) 42, 69, 100 8 Brownishred(1797C) 359, 80, 78 The colors are obviously not scattered around but 9 Turquoise(638C) withsilver 191, 100, 84 localizedintoseveralcolorgroups.Themostpopulousare sparkles the red and yellow groups, as observed in the raw data. Moreover,asintheleftgraph,thereisnocentralizationin Numbers (time 2) respecttotheinducertypes.Eachinducertype(numbers, Roman letters, Greek letters, time units, and others) has Inducer Color description with Color (HSV) colors from reds, yellow, blues, greens, and greyscales, Pantone color code 0 White 0, 0, 100 withaminorexceptionthatnumbersdonothavegreens. 1 Black 0, 0, 0 2 Pink(225C) withgolden Pink: border,silversparkles 325, 82, 90 This localization of colors could be explained by the fact around,andturquoise Turquoise: that many colors are close together as the underlying (306C)flowinginside 191, 100, 89 conceptsarecorrelated. 3 Brown(1605C) 21, 80, 64 4 Darkpink(193C) 347, 89, 75 5 Brightyellow(123C) 44, 81, 100 6 Blue(294C) 214, 100, 47 4.2. Participant K 7 Orangeyellow(1235C) 41, 94, 100 8 Brownishred(193C) 347, 89, 75 9 Turquoise(312C) withsilver 191, 100, 82 K has grapheme–color synesthesia, which associates sparkles colorstodigitsandRomanalphabet. Roman alphabet (time 1) She also has other subtypes of synesthesia, like time unit–spatialform(daysinaweek,ormonthsinayear,is Inducer Color description with Color (HSV) Pantone color code perceivedasathreedimensionalringinspace),andmany A Darkblue(540C) 207, 100, 35 associations with sound (sound or music evoke motions, B Brown(470C) 22, 77, 62 patterns or touch feelings), but are not included in this C Milkyyellow(115C) 49, 74, 98 D Orangeyellow(1235C) 41, 94, 100 report. E Lightgreen(367Cbutsofter) 88, 51, 84 F Green(370C) 88, 76, 55 4.2.1. Raw Data from K G White 0, 0, 100 H Lightgreen(366C) 85, 38, 87 I Black 0, 0, 0 Werepeatedthedatacollectionintwoseparateinterviews, J Brown(470C) 22, 77, 62 K Darkbrown(4625C) 18, 67, 32 inordertoinvestigatetheconsistencyorvariationsinher L Vanilla(7499Cbutlighter), 60, 13, 100 colors. One took place at 13May2008 (time 1), another filledinsideadarkborder one at 27May2008 (time 2), separated by 14 days. In M Blue(2935C) 211, 100, 73 N Blue(285C) 206, 100, 81 time 1, color lists are collected in numerical (09) and O White 0, 0, 100 alphabetical (AZ) orders, while in time 2, colors are P Orangeyellow(108C) 51, 100, 99 collectedinrandomorder.Thisistominimizethechance Q White 0, 0, 100 R Milkyyellow(113C) 50, 68, 98 ofmemorizing. S Red(200C) 348, 92, 74 T Black 0, 0, 0 U White 0, 0, 100 Numbers (time 1) V Lightbrown(4645C) 24, 48, 69 W Brown(4635C) 24, 60, 58 Inducer Color description with Color (HSV) X Metallic grey(411C) 15, 21, 36 Pantone color code Y Grey(408C) 18, 11, 64 15 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Figure 11 :(Top)K’sartisticdepictionofsome special graphemes, and my notsoartistic depiction of her letter L. (Left) K’s colors for Romanalphabetandnumbers.

Inducer Color description with Color (HSV) Inducer Color description with Color (HSV) Pantone color code Pantone color code Z Pink(212C) withgolden Pink: U White 0, 0, 100 border,silversparkles 335, 68, 96 V Lightbrown(471C) 23, 86, 71 around,andturquoise Turquoise: W Brown(1535C) 23, 90, 58 (2995C)flowinginside 195, 100, 88 X N/A - Å Darkblue(294C) 214, 100, 47 Y N/A - Ä Darkblue(2955C) 206, 100, 41 Z Pink(225C) withgolden Pink: Ö White 0, 0, 100 border,silversparkles 325, 82, 90 around,andturquoise Turquoise: (306C)flowinginside 191, 100, 89 Roman alphabet (time 2) Å Darkblue(295C) 210, 100, 37 Ä Darkblue(295C) 210, 100, 37 Ö White 0, 0, 100 Inducer Color description with Color (HSV) Pantone color code A Darkblue(287C) 218, 100, 55 B Brown(1535C) 23, 90, 58 C Milkyyellow(116C) 47, 100, 100 4.2.2. Description of K’s Synesthesia D Orangeyellow(1235C) 41, 94, 100 E Lightgreen(between577C 84, 33, 81 and366C) InK’ssynestheticworld,numbersandlettersarenotonly F Green(between576Cand 100, 61, 57 colorful, but also patternrich. The most eyecatching 362C) patterncanbefoundinnumber2andletterZ,asdepicted G White 0, 0, 100 H Lightgrey(5807Cbutlighter) 61, 13, 89 in Figure 11. In her words, both of them are “dark pink I Black 0, 0, 0 withturquoisesnakesswimmingaround,goldaroundand J N/A - silversparklesallover”.Similarly,number9is“turquoise K N/A - L N/A - with gold around and silver sparkles all over.” In her M Blue(2748C) 223, 100, 44 depictions,silversparklesarerepresentedbyglitterglue. N Blue(2727C) 214, 73, 85 O White 0, 0, 100 P Orangeyellow(116C) 47, 100, 100 Several other letters are also special: letter X has a Q White 0, 0, 100 metallicfeeling(representedbypenciltexture),andletter R Milkyyellow(129C) 46, 71, 96 Lhasaborderfilledwithvanillacolor. S Red(186C) 349, 95, 80 T Black 0, 0, 0

16 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

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Figure 12 :K’scolorsfornumbersandRomanalphabet 300 grouped by similarity, taken in two different dates 240 (top), and their component analysis in color hue 180

(middle right), saturation (lower left), and ColorHue 120 value/brightness(lowerright). “Buddies”pairingsareindicatedbyparenthesis“}”. 60

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K could recognize several simple rules in her coloring relatedtolearningsequence. scheme.Number2and letterZhavethesame colorand patternbecausetheyhavesimilarshapes;lettersA,Åand ÄarejustEnglishletterAwithdifferentdiacritics,thusall 4.2.3. Analysis of K’s Synesthesia areblue;number1and letterIareblack,number0and lettersO,Öarewhite,thereasonistrivial.However, we Grouping of colors found deeper relations behind the colors, which will be shownintheanalysispart. BycarefullyexaminingK’scolorlist,wecouldfindmore groupingsotherthantheonesrecognizedbyK,according Curiously, K stated that there are several pairs of to similarity in colors and shapes. The groupings are “buddies”inheralphabet.CandDarebuddies,EandF showninFigure12(thecolorblocksonleft). are buddies, M and N are also buddies. The meaning of thispairingupisnotclear,evenfromherself,butmaybe

Figure 13:SimilarityofstokesinK’sgraphemegroupings. 17 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

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-120 -120 a* (green-red) a* (green-red)

Figure 14:DistributionofK’scolorsintheCIELaba* × b*space,withdataseriesininducer type(left)andcolortype(right).

We plot comparison graphs for the three HSV model (time1andtime2,separatedby14days)canbecompared. components–colorhue,saturation,andvalue/brightness Leftsideblocksandbarsarefromtime1,whilerightside respectively. See Figure 12 for the left (darker) bars in onesarefromtime2. graphs. Although color saturation and value/brightness varies, color hues are very close in each group. This As usual, color hue is preserved. Value/brightness only suggeststhatthegroupingsarereasonable. hasminordifferences.Theonlyprominentchangesarein saturation, for example in (E, F, H) group, saturation is Anevencloserlooktothegroupings,thesimilarityisnot overall lowered by some amount, but in (V, W) group, only about the visual shapes, but actually the stroke saturationisoverallheightenedbysomeamount.Thisis orders of the graphemes. As illustrated in Figure 13, the not surprising, if considering the theory that colors are graphemes within a group have similar main strokes. interrelated inside a grouping, but not over different They only differ in relative position of stokes or other groupings. minorstrokes. Distribution over color space Inparticular,thegroupsare:(0,O,Ö,Q,G,U)havinga circle/majorarc;(1,I,T)havingadominantvertical;(D,P, Atfirstglance,K’scolorsconsistofawidespectrum,not R,5)havingaverticalthenanarc(Cisnotthecasebut biasingoncertainhues. related due to “buddies” pairing); (E, F, H) having verticalsandhorizontals;(X,Y)havingacrossing;(2,Z), Weplotgraphswithaxesa*(determiningblueyellowhue) (8, S) and (3, B) having Zlike, Slike and 3like strokes against b* (determining greenred hue) in CIEL*a*b* respectively; (V, W) and (M, N) are doubles; (6, 9) are color model, with all color data including the two time mirrorimages;(A,Å,Ä)arevariationsofletterA. instances.ResultisshowninFigure14. This connection with stroke orders possibly originated Localization could be observed in the graphs. Colors are from the first time K learnt the numbers and letters – centralized in several islands, such as yellows and whenthelittlegirlheldapencilinherhandtryingtodraw reds/pinks. the curves and lines, colors and patterns are also incorporatedintothefiringofneuronsinthebrain.These colorgroupingsarelikethe“fossils”oftheearlylearning 4.3. Participant S process. S has both sound—color and color—sound synesthesia, WewillfurtherdiscussthispointinGeneralDiscussions butwithdifferentassociationsandqualities.Shealsohas (section5.3Originofsynestheticcolors). personality—color associations, which is limited to the personalities of her close acquaintances. Here we only Variations over time include data of her sound—color synesthesia, which has morepersistentassociations. AlsoinFigure12,datacollectedfromtwotimeinstances

18 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia 4.3.1. Raw Data from S Inducer Color description with Color (HSV) Pantone color code Singing Green(354C,356C,347C, 142, 100, 68 Afewinterviewsareconductedtocollectthesound—color 349C) withtextureoftree 147, 100, 47 leaves 148, 100, 60 data,bylisteningtosongsandenvironmentalsounds,or 155, 100, 41 merelyimaginingthesounds. Purplesinging Purple(VioletC,2607C) 262, 87, 62 voiceofsome 275, 86, 47 specialsingers Note:Colorcodeswithplus(e.g.“2985C+299C”)means CassPhang Green(356C) withvelvet 147, 100, 47 they cooccur for a stimulus, and with commas (e.g. feeling ChetLam Green(3405C) 156, 100, 67 “803C,YellowC”)meansarangeofpossiblecolors. Aiko Green(354C) 142, 100, 68 Kiroro Green(354C) withorange Green: dotsontop(151C) 142, 100, 68 Musical instruments Orange: 28, 100, 100 Inducer Color description with Color (HSV) Kiroro&Aikoduo Green(354C) withorange Green: Pantone color code dotsontop(151C)and 142, 100, 68 Cymbal Lightblue(2985C+299C) 194, 63, 91 olivegreen(450C)in Orange: 196, 100, 87 background 28, 100, 100 Flute Yellow(803C,YellowC), 53, 89, 100 Olive green: withwavyorspotty 52, 100, 99 50, 53, 32 pattern Cher Purple(2617C) with Purple: Chineseflute Yellow withorangedots - orange(1505C)dots 277, 84, 43 (Dizi) underit Orange: 26, 100, 100 Horningeneral Orange(Orange021C) 21, 100, 100 Bagpipe Brownishorange(1525C+ 22, 100, 78 BonnieTyler Orange(between1505C Orange: and164C) withpurple 22, 86, 100 1595C+166C) 22, 89, 85 21, 99, 89 (between259Cand2592C) Purple: dots 289, 73, 55 Stringsingeneral Red(200C) withflator 348, 92, 74 threedimensional structure Other sounds Violin Red(1795Cbutdarker) 357, 83, 74 Piano Red(185C) 347, 100, 90 Electronicpiano Red(485C) 3, 86, 86 Inducer Color description with Color (HSV) ElectronicPiano Red(between485Cand 358, 88, 89 Pantone color code 7417C) Playingplastic Playingdifferentpartsof Red: Electronicflute Redmixedwithorangeand - wrappingofa thewrappinggive: 356, 83, 95 yellow brandofinstance Red(032C)atcenter,pink Pink: Chinesestrings Red(1788C) withorange Red: noodle (7423C)goingfromright, 344, 54, 89 (Guzheng) (Orange021C)hidden 356, 82, 94 orange(151C)goingfrom Orange: behind Orange: left,yellow(YellowC)in 28, 100, 100 21, 100, 100 background Yellow: Chinesestrings Red(between185Cand 347, 97, 84 52, 100, 99 (Guzheng) 186C) withyellow,purple Movingfurniture Brown(4625C) 18, 67, 32 andorangehiddenbehind Drumsingeneral Darkblue(2747C,2748C, 221, 100, 48 280C,2768C,282C) 223, 100, 44 220, 100, 47 4.3.2. Description of S’s Synesthesia 221, 82, 29 212, 100, 27 “Polluted”drums Darkblue(2767C) with 214, 69, 28 Interestingly,Shasbothdirectionsofsynesthesiabetween blackshadows hearing and color perception. The sound—color synesthesiaismoreapparent,asshecouldalwaysseethe Human voices colors whenever hearing a sound, but the color—sound one only occasionally happens, and only for a large Inducer Color description with Color (HSV) homogenousareaofthesamecolor. Pantone color code Speakingvoice Yellowishgreen(360C, 114, 58, 75 362C,368C,370C) with 115, 65, 60 Thetwochannels,asSstated,have“differentsettings”.If textureoftreeleaves 95, 78, 73 88, 76, 55 a sound triggers a color, this color would not trigger the Tellingalie Grayishgreen(between 70, 50, 58 same sound. One example is the sound of cymbal in a 30B3and30C4in drumsetgiveslightbluecolor,butalightbluewallinturn Methuen)

19 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Figure 15:(Top)S’ scolorsfordifferentsounds,includingmusicalinstruments,human voicesand others.Thelistingisinthesameorderasinrawdatatables. (Bottom)Mydepictionofsomecolor patterns, based on her descriptions. Note that these are depictions only, not the experiences themselves.

Figure 16: (Left) S’s explanation of how she perceives the colors – color streams flowing from lowerrighttoupperleftofvisualfield,and“zooming”ability.(Right)Orderofthecolorstreams. Notethatnotallcolorswillappearatthesametime.

(occasionally)producesakindof“dingding”sound2. corresponding part of color field (e.g. the red color streams). When not focusing, the overall picture is S can perceive the colors in her visual field, but unlike perceived. mostprojectorcases,itisprojectedatascreen behind her eyes.Thecolorsformwavelikestreams,originatedfrom There are special patterns and structures in the colors, thelowerrightcornerandendedattheupperleftcorner, willbedescribedinfollowingsubsections. as shown in Figure 16. Different color streams occupy differenthorizontalbands,fromtoptobottom:lightblue Musical instruments (cymbals), yellow (flutes), orange (hornlike), green (human voices), purple (special singing voices), red The upper band and lower band of S’s color field are (strings), blue (drums). This grouping is in line with the evokedbydifferentkindsofmusicalinstruments. findings of Ward et al. (2006a) that higher pitches are experiencedasbrightercolors. Intheupperband:Lightblueisassociatedwithcymbals (thinmetalplatesinadrumset).Yellowisassociatedwith WhenSisfocusingonaparticularportionsofsounds(e.g. wind instruments with a clear sound, e.g. flutes. pianopartinasong),theperceptionwill“zoom”intothe Sometimes there is a dotty pattern or wavy pattern. Orange is associated with wind instruments with an 2 The two sounds are similar, but here we cannot make obviousairflowquality,e.g.saxophones,bagpipes. conclusion that her two subtypes of synesthesia are correlated,withonlyafewdata. 20 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

In the lower band: Red is associated with string Other sounds instruments, including guitar, violin, piano, and also electronickeyboard.Oftenitcomeswithaflatorvolume Compare to the vivid colors above, other environmental feeling. For modern synthesized music (e.g. electronic sounds (e.g. furniture moving) have more natural colors keyboard)thefeelingisflat,butforrealinstruments(e.g. suchasbrown.Inoneoccasion,soundmadefromplastic violin),itislikegainingathreedimensionalvolumewith wrappingofaproducthadacomplicatedexperience–4 lightanddarkshades,andisdescribedas“Youtubered” colors producing a pattern (see Figure 15, topright because it resembles the logo of that website. Blue is pattern). associated with drums. Sometimes the blue is “polluted” by black color if the music is very noisy, like rock band sound. 4.3.3. Analysis of S’s Synesthesia WeletSlistentounfamiliarinstrumentsthatsheseldom or never heard of, like Chinese flute (Dizi) and Chinese Sensitivity to sound quality strings (Guzheng). They still have yellow color (as flute) andredcolor(asstrings),butarenotpure.ForDizi,there Evennotbeingaprofessionalmusician,sheshowsahigh areorangedotsundertheyellowband,andforGuzheng, sensitivitytothequalityofsounds,manifestedasvarious thereareothercolors“hiddenbehind”theredwaves. colorsandpatterns. Incertainoccasion,colorpatternscouldbeverycomplex. Themostinterestingindicationcomesfromherabilityto For example when S was once emotionally engaged in a distinguishbetweena normalspeakingvoiceandalying musicaltheaterperformance,sherecalledthesynesthetic voice, which are perceived as different saturations of experience as “a red line with gradient red bubbles greencolor.Thiscouldberelatedtothechangeinhuman attached, yellow spiral, in blue background” (Figure 15, voice quality under stress, such as instability or tone bottomrightpattern). change. In fact, Voice Stress Analysis, a new kind of lie detectiontechnology,intendstouse“microtremors”(tiny Human voices shakes;Lippold,1971)inavoicetodetectifthespeakeris lying. The middle band of S’s color field is associated with S’ssynesthesiacouldalsocapturecertainsubtlequalities humanvoices. inhumansingingvoices.Normally,asingingvoiceisjust green, but for special singers, the voice could also have In usual case, human speaking voices are green, and orange,purpleorred.Anexplanationcouldbesimilarity singing voices are yellowish green. They both have a tomusicalinstruments.Nasalqualityinsomevoicesmay textureoftreeleaves(asametaphor). evoke orange (as wind instruments), while quality in black singers may evoke red (as string Amuchunexpectedaspectisthechangeincolorwhenthe instruments). speakeristellingalie.Sdescribesthatwhenapersonis lying, his voice is “losing its color” and become grayish Inside a song, S could easily identify which instruments green. are playing, by just telling which colors are present. For example,“pianoistherebecauseIseered.”Also,shecan Orange,purpleandred(alladjacenttogreencolorband) distinguishbetweenrealinstruments(e.g.aviolininreal could also occur in human singing voices, but only for concert) and synthesized music (e.g. violin sound some special singers. Pop singer Cher is purple with mimickedbyanelectronickeyboard)–theformergivesa orange dots, and reversely, Bonnie Tyler is orange with threedimensional color stream with light and dark purpledots.Snoticedasimilaritybetweenthetwofemale shades,whilethelatergivesaflattenedstream. singers–botharepowerfulandhaveanasalquality.The beautiful voice of Tamashiro Chiharu (in Japanese duo All these examples demonstrated a high sensibility to Kiroro)hascolorofnormalgreenwithorangedots.Many audio stimuli without corresponding musical training. black singers, having voice quality different from This is in line with anecdotal reports that synesthesia CaucasianandAsianpeople,havearedsingingvoice. mightbemorecommonamongindividualswithabsolute 21 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

120 120

100 yellow 100 orange 80 80 green 60 red 60 40 40 Light Blue Yellow 20 20 Musical Orange 0 Speaking 0 Green -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 -20 Singing -20 Purple b* (blue-yellow) b*(blue-yellow) Red light blue -40 -40 Dark Blue -60 purple -60

-80 dark blue -80

-100 -100

-120 -120 a* (green-red) a* (green-red)

Figure 17:DistributionofS’scolorsintheCIELaba* × b*space,withdataseriesininducer type(left)andcolortype(right). pitch, in that colors allow them to uniquely identify analysesarereasonabletothem. musicaltones.(Ramachandran&Hubbard,2001b) This unexpectedness demonstrates that synesthesia is really an automatic and natural part of their perception, Distribution over color space like normal vision and audition. In fact, all of the participantssaidthattheirsynesthesiararelygoestothe WeexpectthatS’ssynestheticcolorsarelocalizedincolor consciouslevel,unlesssomebodyreallyaskaboutit. space,sincehercolorsarealreadyorganizedintodifferent bandsinvisualfield. An analogy is that, when looking at the sea and the sky thatbothareblue,weseldomask“whytheyhavesimilar This is confirmed by the graphs showing S’s color colors?”Similarly,synesthetesseldomask“whylettersA distribution,asinFigure17.Thegraphsareplottedwith andEhavesimilarcolors?” axes a* (determining blueyellow hue) against b* (determining greenred hue) in CIEL*a*b* color model. All colors in raw data table except “Other sounds” are 5.2. Lighting and pattern processing used. In response to the special properties observed in synesthesiaoftheparticipants,wehaveahypothesisthat 5. General Discussions there should be corresponding processing areas in the humanvisualcortex. As presented in previous result and analysis section, synesthetic experiences of the three participants, though Lighting properties and “lighting not a statistically significant population, hinted several processing area” interesting traits. Some of the traits are quite elaborated in the analysis, but some are only a loose grasp, need As mentioned in the results part of B, his synesthetic future studies and experiment to confirm. They will be experiences have many additional properties other then discussedhereasaconclusiontothisreport. colors, such as transparency, metallicity, and a quality called “contrast”. Indeed, these qualities could be 5.1. “Aha, I never of it!” explained as analogies to everyday lighting effects . Transparency is having a light source from behind, When the analysis results in this report, especially the metalliccolorislightreflectedfromalightsourceabove, grouping of colors, are shown to the participants andglowingcoloristhelightsourceitself.For“contrast”, themselves 3, they often feel surprised. Exclamations are it is more complicated, but could be related to like “aha, I never thought of it!” or “that was an transparency. epiphany!” At the same time, they agreed most of the Consequently, besides the color processing areas in the 3 After all data are collected, for confirmation and human visual cortex, we suspect that there would be a comments. lighting processing area in the visual cortex. 22 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

Ramachandran and Hubbard (2001b) proposed a qualitiesofthegraphemes.Thus,thegraphemeareaand “crosswiring hypothesis” that grapheme–color color area V4 in the fusiform gyrus (lower synesthesia synesthesia is caused by crosswiring between two channel), as well as the hypothetical pattern processing adjacent brain areas, such as between visual grapheme area,shouldbeadjacenttoeachotherforcrosswiring. areaandcolorarea(V4)inthefusiformgyrus,orbetween angulargyrus(dealwithabstractnumberrepresentation) ThistheoryisconsistentwiththeworkofGonzalez etal. and a higher color area in the superior temporal gyrus. (2006),wheretheirelectrodeexperimentsfurthersupport Their theory is in response to the fact that colors are anexistingideathatthefusiformgyrusisrelatedtocolor involvedinsynesthesia,butwhatiflightingpropertiesare andpatternperception. alsoinvolved?Coulditbeexplainedbycrosswiringwith anundiscoveredbrainarea? 5.3. Origin of synesthetic colors If this lighting processing area is possible to exist, we furthersuspectthatitislocatedneartheangulargyrus.In Severalnoticeablecasesdescribedinthisreportcouldgive B’s experience, all the lighting effects – transparency, somehintsonhowthesynestheticcolorsareoriginated. metallicity and “contrast” – mostly associated with abstract numerical and mathematical concepts, In the analysis of K’s case, we found a striking relation corresponding to the abstract number functioning of the between colors and stroke orders of graphemes. This angular gyrus. Crosswiring should occur to an adjacent strongly suggests that the grapheme—color associations areaofit. werecreatedatthetimewhenhandwritingwaslearntin earlyeducation. Furthermore, in a short essay by Ramachandran and RogersRamachandran in the magazine Scientific In several occasions B expressed a strong influence of America Mind , they suggested that our transparency learningprocessesonhiscolors.Firstly,“cosine”hastwo perceptionshouldhaveevolvedtodealwithshadowsand different color versions according to his level of todistinguishthemfromrealobjects(Ramachandranand understanding of the concept. Secondly, Greek small RogersRamachandran, 2008). If our ability to process lettereta( η)obtaineditscolorfromRomanletterN,but transparency (and other lighting conditions) is an with an exceptionally dark tint. B explained that it came essentialfunctionthroughouthumanevolution,itshould fromanotherGreeksmallletterxi(colorblack)whenhe justifyhavingacentralized“processor”insideourbrain. learntthetwolettersatthesametime. Colorful patterns and “pattern From these cases, we cannot conclude where exactlythe processing area” synesthetic colors came from, but can say something on how thesynestheticcolorsareobtained–i.e.duringthe Muchlikelightingproperties,thecolorfulpatternsinK’s learningprocess oftheinducers. experience are also intriguing. There are even complex and dynamic patterns in S’s sound—color synesthesia, Whenanewconceptorprocedureisbeinglearnt,anew whichmayduetothefactthataudiostimuliaredynamic series of neuron connections will be set up inside the andtemporal,whilevisualstimuliarestatic. brain’s neural network. For nonsynesthetes, these new connectionsarejust linkingtherelevantparts.However, Thus, in analogy to the lighting processing area, we also insidethebrainofsynesthetes,thereissomethingmore. hypothesize a pattern processing area in the human If the crosswiring hypothesis of Ramachandran and visualsystem.Again,usingthecrosswiringhypothesisof Hubbard (2001b; mentioned in section 5.2) is correct, Ramachandran and Hubbard (2001b), we could say that there will be extra neurological channels inside the the synesthetic patterns experienced by K and S are network. causedbycrosswiringwithanunknownbrainarea. Forexample,whenanewletter“A”isbeinglearntinclass, InK’scase,ifthispatternprocessingareaexists,itcould the corresponding brain parts (for visual image, audio belocatedatthefusiformgyrus.Asalowersynesthete,K’s voice,moutharticulation,andhandmovement)willhave colorsandpatternsaremostlyrelatedtothegeometrical lotsofneuronsstretchingtheirlittleaxonstoeachothers. However,insideagrapheme—colorsynesthete,theaxons 23 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia will also reach the part of color vision though an extra lighting effects, all are out there in their brain, but they channel. If the synesthete related letter “A” to color areoftendifficulttoexpressinwords. “brown” during the learning process (maybe appear in textbook, maybe color of teacher’s shirt, maybe thinking DuringinterviewswithB,whensomethingisnotsimplya of her brownish dog named “Ace”), then an “A—brown” color,heusuallygaveexpressionlike“it’shopelesstotell associationisestablished. what’s happening”. He tried to employ metaphors or match it with everyday experiences, but is not always Once a person learnt about “A”, its associated shape, satisfied. Sometimes, several different valid explanations sound and finger movements will not be changed aregivenforoneexperience. throughoutthelifetime.Thesameoccursinsynesthesia– itsassociationto“brown”willnotbeerasedorchangedby Salsoexpressedthisdifficulty.Whenshehearsthesame any means. This could explain why synesthetic piece of sound or music, there is always the same experiences are consistent over long time: they are just experienceofcolorsandpatterns,butshe“cannotexactly thesameasotherlearningconnections. translatethemintosimplecolors”,andcouldonlychoose a “representative color” for it. Metaphors are also Furthermore, if there are physiological or psychological employedtoexplainpatterns,forexamplehuman voices rule governing the extra neuron connections, certain are like “leaves on a tree”. When we showed to S our universaltrendsmayoccur,asfoundinvariousstatistical depiction ofherpatterns(Figure15,bottom), shegavea studies. E.g. higher pitches tend to have brighter colors comment: “the patterns (like dots) are more difficult to (Ward et al. , 2006a), and smaller numbers tend to have portrayandareherejustrepresentational”. brightercolors(CohenKadosh etal. ,2007). Thesedifficultiesmaycomefromalackoflexiconinour This theory (we call it “little axons theory” for some ,asthesynestheticexperiencesarenotcommon reason) is in line with some recent studies. Direct to the whole population. However, it may be more evidencehasbeenfoundthatexposuretocertaintoysor plausible to explain by a lack of common qualia . A learning tools in childhood (e.g. colored jigsaw puzzle; “qualia” is a quality that you have to experience by colored refrigerator magnets) actually link to synesthetic yourself, and cannot be transferred to others directly experiences in adulthood (Hancock, 2006; Witthoft & (unlesstelepathyispossible).Forexamplethecolor“red” Winawer, 2006). In the statistical study of Rich et al. is a qualia. You can tell someone that a rose is red, by (2005), there is no significant evidence, but they still saying the word “red” to evoke this common experience. found 5 out of 150 synesthetes that have 77%100% of Butifthereceiverisablindpersonsincebirth,youcannot consistency between synesthetic colors and colored tellhimwhatisredinanyway.Evenifyousay“redisthe alphabet/numberbooks. coloroffire,redislikelove,redislightwithwavelength 625–740nm”,theyarejustmetaphorsorscientificfacts, Finally,wecouldexplainwhytherearesolittleevidences theblindpersonstillgetsnothing. oflinkagebetweensynestheticexperiencesandparticular objects – the associations could be just random . A color The situation is the same here. When a synesthete tells (or any concurrent) could have come from an object, an you the association of a voice is “like the green tree out , the environment, or anything happened at therewithafeworangeleaves”,itisonlyametaphor,not the moment. Also, it is nearly impossible for an the synesthetic experience itself. You can know what insignificanteventin earlychildhoodtoberecalledafter exactlyhappensinhersynesthesiaonlyifitisacommon grownup. So nobody, including synesthetes themselves, qualia between you and her, which is quite impossible could have information on where the associations came evenifyouarealsoasynesthete. from. Further discussion of qualia and synesthesia could be foundinRamachandranandHubbard(2001b). 5.4. Synesthesia and qualia We often say that synesthetes “see” the colors, but it is 5.5. Sensitivity of color matching and most likely that the synesthetic experiences are very “absolute color” different from normal color perception. Colors, patterns, 24 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

ColorData1 Display MyComputerScreen Time1 lessbluishhue morebluishhue lessbrightness morebrightness PerceivedColor fixedhue? Adjust fixedbrightness?

ColorData2 Display HisComputerScreen Matching Time2 morebluishhue lessbluishhue morebrightness lessbrightness SynestheticColor

Figure 18:Theprincipleofcounteradjustmentinmatchingsynesthetic colors.Ifthesynesthetecanadjustcolordatasothattheperceivedcoloris thesameindifferentenvironments,wecouldsayhehas“absolutecolor”.

colors displayed on the screens are very likely the same In one of Galton’s pioneering study (1883), he observed color (same hue and same brightness). The principle is that those with visual synesthesia are “invariably most illustrated in Figure 18. Color data are adjusted by the minuteintheirdescriptionoftheprecisetintandhueof synesthetetocompensatethedifferenceinscreensettings, the color. They are never satisfied, for instance, with in order to produce the same perceived color that saying‘blue’,buttakeagreatdealoftroubletoexpressor accuratelymatcheswiththesynestheticcolor. matchtheparticularbluetheymean.” Weuseanewterm absolutecolor todescribethisability ThisisexactlythesamesituationasparticipantB.While ofidentifyingacolorwithfixedhueandbrightness(and matchingacolor,hewouldgiveverbaladjustmentslike“a hencefixedwavelengthandluminanceoflight)unaffected bitlighter/darker”,orfinetuninginColorPickerprogram by the environment. This is analogous to absolute pitch, by±5inRGBvalues. the ability to identify the exact frequency of a musical note. This kind of fine adjustment should give very accurate choicesinthecolors.However,infact,hechosedifferent Absolutecolorinthe synestheteissignificant,becauseit shades of colors in two different lighting conditions and bypasses our faculties of color constancy and lightness equipments, as shown in Figure 9 of section 4.1.3. One constancy. A color with certain hue will be perceived as interesting phenomenon is that the colors are adjusted another hue when affected by surrounding color tone opposite to the environment conditions. In time 1, the (color constancy), and a color will seemingly brighter computerscreenusedwasbrighter 4 andmorebluish,and under a shadow than outside the shadow (lightness the colors he chose were oppositely dimmer and less constancy).Theseareautomaticprocessesinthebrainto bluish. The reverse occurred in time 2, dimmer and less adoptthecontinuouslychangingworld. bluish the screen, brighter and more bluish the color choices. In the future, psychological experiments could be conducted to confirm this hypothesis, for example, by This strongly suggests that, although the color data (i.e. testing if the synesthete will choose the same color in chosencolorvalues)differintwosituations,theperceived different color tone surroundings and shadows (refer to the experiments by Witthoft and Winawer (2006) for 4 Herewehaveanassumptionthat,underbrightsunlight synesthesiaandlightnessconstancy).Numericalevidence (asintime1),wewillsetourcomputerscreenbrighterto of invariance in perceived color (e.g. detecting the counterreact with the environment; similar for dim frequencyandluminancedisplayedonscreen)couldalso sunlight(asintime2),we will setthe screendimmerto help, but it will be more complicated in experimental easeoureyes. settings.

25 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

365. Dixon, M. J.; Smilek, D.; Merikle, P. M. (2004). Not all 6. Acknowledgement synaesthetes are created equal: Projector vs. associator synaesthetes. Cognitive, Affective and Specialthankstothefollowingpersonals. BehavioralNeuroscience,4 ,pp.335–343. Galton, F. (1880). Visualised numerals. Nature, 22 , pp. ParticipantsB,KandS,whohavebecomemyfriends,for 494–495. wideopeningoureyestotheworldofsynesthesia. Galton,F.(1883). Inquiries intoHumanFaculty andIts Development . LouiseandRasmusfromKochforprovidingknowledgeof Gonzalez, F.; Relova, J.L.; Prieto, A.; Peleteiro, M.; colorsinperspectiveofartdesign,and lendingthecolor Romero, M.C. (2006). Hemifield dependence of palettebooklets. responsestocolourinhumanfusiformgyrus. Vision Research,46(16) ,pp.2499—2504. Tony Lam for discussions on the sound quality and Grossenbacher,P.G.;Lovelace,C.T.(2001).Mechanisms musicalinstruments. of synaesthesia: Cognitive and physiological constraints. Trends in Cognitive Sciences, 5 , pp. Professor Christian Balkenius for his guidance and 36–41. suggestions during the period of master program and Hancock, P. (2006). Monozygotic twins’ colournumber writingofthisthesis. association:Acasestudy. Cortex,42(2) ,147–150. Hubbard, E. M.; Arman, A. C.; Ramachandran, V. S.; Professor Peter Gärdenfors for making my studying in Boynton,G.M.(2005).Individualdi fferencesamong LundUniversitypossible. graphemecolour synaesthetes: Brainbehavior correlations. Neuron,45 ,pp.975–985. Lippold, O. (1971) Physiological tremor. Scientific References American,224 ,pp.65—73. Luria,A.R.(1968), TheMindofaMnemonist ,Cambridge, MA:HarvardUniversityPress. BaronCohen,S.;Harrison,J.;Goldstein,L.H.;Wyke,M. Nikolić,D.;Lichti,P.;Singer,W.(2007).Coloropponency (1993). Coloured perception: Is synaesthesia in synaesthetic experiences. Psychological Science, what happens when modularity breaks down?. 18(6) ,pp.481–486. Perception,22(4) ,pp.419–426. Nunn,J.A.;Gregory,L.J.;Brammer,M.;Williams,S.C.R.; BaronCohen,S.;Burt,L.;SmithLaittan,F.;Harrison,J.; Parslow,D.M.;Morgan,M.J.;Morris,R.G.;Bullmore, Bolton, P. (1996). Synaesthesia: Prevalence and E.T.;BaronCohen,S.;Gray,J.A.(2002).Functional familiarity.Perception,25(9) ,pp.1073–1080. magnetic resonance imaging of synesthesia: Beeli, G.; Esslen, M.; Jancke, L. (2007). Frequency activation of V4/V8 by spoken words. Nature correlates in graphemecolor synaesthesia. neuroscience,5(4) ,pp.371–375. PsychologicalScience,18(9) ,pp.788–792. Paulesu, E.; Harrison, J.; BaronCohen, S.; Watson, CohenKadosh,R.;Henik,A.;Walsh,V.(2007).Smallis J.D.G.;Goldstein,L.;Heather,J.;Frackowiak,R.S.J.; bright and big is dark in synaesthesia. Current Frith,C.D.(1995).Thephysiologyofcolouredhearing: Biology,17(19) ,pp.R834–R835. A PET activation study of colourword synaesthesia. Cytowic, R.E. (1998). The Man Who Tasted Shapes . Brain,118 ,pp.661–676. Cambridge:MITPress. Ramachandran, V.S.; Hubbard, E.M. (2000). Cytowic, R.E. (1989). Synaesthesia : A Union of the Numbercoloursynaesthesiaarisesfromcrosswiring Senses .NewYork:SpringerVerlag. in the fusiform gyrus. Society for Neuroscience Day, S. A. (2005). Some demographic and sociocultural Abstracts,30 ,p.1222. aspectsofsynesthesia.InL.C.Robertson&N.Sagiv Ramachandran, V.S., Hubbard, E.M. (2001a). (Eds.), Synesthesia: Perspectives from cognitive Psychophysicalinvestigationsintotheneuralbasisof neuroscience (pp. 11–33). New York: Oxford synaesthesia. Proceedings of the Royal Society of UniversityPress. London,B,268 ,pp.979—983. Dixon, M. J.; Smilek, D.; Cudahy, C.; Merikle, P. M. Ramachandran, V.S.; Hubbard, E.M. (2001b). (2000).Fiveplustwoequalsyellow. Nature,406 ,p. Synaesthesia — A window into perception, thought

26 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia

and language. Journal of Studies, 8 , hassynesthesia? pp.3–34.  Doessynesthesiaannoyyouindailylife,orhelpyou Ramachandran, V.S.; RogersRamachandran, D. (2008). insomewaysuchasinstudyingandcareer? Transparently Obvious. Scientific American Mind, 19(2) ,pp.20–22. Listofcolorassociations Rich, A. N.; Bradshaw, J. L.; Mattingley, J. B. (2005). A  Iscolorassociationappliedtoallstimuliinthetype? systematic, large scale study of synaesthesia: (e.g.if lettersevoke colors,isthateachletter from Implications for the role of early experience in AZevokesacolor?) lexicalcolour associations. , 98(1) , pp.  Can you give examples or listings of the color 53–84. associations?(e.g.number1isblack…) Ward, J.; Huckstep, B.; Tsakanikos. E. (2006a)  Do you prefer choosing the colors using color Soundcolour synaesthesia: To what extent does it palette booklets (which one), or finetuning in a use crossmodal mechanisms common to us all?. computerprogram? Cortex,42(2) ,pp.264—280.  Doyoufeelanydifferencewhenchoosingcolorsin Ward,J.;Li,R.;Salih,S.;Sagiv,N.(2006b).Varietiesof differenttimes,equipmentsorenvironments? graphemecolour synaesthesia: A new theory of  IfIshowyouthecolorblocksImadeaccordingto phenomenological and behavioural differences. yourcolorchoices(e.g.Figure1),doyourecognize Consciousness and Cognition, 16(4) , pp. 913–931, thattheyare“yourcolors”?Anydeviations? 2007.  Do you notice any similarities or trends in your Witthoft, N.; Winawer, J. (2006). Synesthetic colors colorings? determinedbyhavingcoloredrefrigeratormagnetsin  IfItellyoumyanalysisofyourcolors,doyouthink childhood. Cortex,42 ,pp.175—183. itmakessense? Webreferences Qualityofcolorassociations  Arethecolorsprojectedontheletters,projectedon ChristianLiljeberg(2008). Synestesi.se website. ascreen,orjustinsideyourbrainor“mind’seye”? Availableathttp://www.synestesi.se/  Ifaletterisprintedingreenbutyoucolortoitisred, RetrievedthroughoutFeb2008toMay2008. canuseebothgreenandredatthesametime?  Doyouseethecolorswhenactuallyseeingtheword, Irotek(2008). EasyRGB website. ormerelythinkaboutit? Availableathttp://www.easyrgb.com/  Ifyouonlyimaginethestimulus(e.g.word,sound), Retrievedat22Feb2008. isthecolormorevivid?  Is there any difference in words/concepts using differentlanguages(e.g.English,Swedish,Skånska)? Appendix A – Questions Asked Howaboutotherlanguages? in Survey  Is there any difference in capital/small letters and differentfonttypes?  Is there any difference in forms of numbers? (e.g. Here we list the general questions given to the Arabicnumber,Romannumber,dicedots) participantsduringthecasestudyinterviews. Generalinformation  Which of your sense is associated with which Appendix B – Conversion another sense? (e.g. letters evoke colors, sounds between Color Spaces evokecolors…oranythingelse)  When and how did you learnt about your Thecolormodelsusedinthisreport(RGB,HSV,CMYK, synesthesia? CIEL*a*b*)arebrieflydescribedinsection3.3.1.Herewe  Do you feel embarrassed when talking about it to list out the conversation rules between color spaces in other people (e.g. friends, family)? How do they computer programming pseudocode format. The codes thinkaboutit? are obtained on “Color conversion math and formulas”  Doyourknowanyofyourfamilyorfriendswhoalso section in EasyRGB website by Irotek (2008), and are

27 Chan,WangChak/AColorfulReport:ColorAssociationsinSynesthesia used in computer program ColorPicker as well as data var_G = ( ( var_G + 0.055 ) / 1.055 ) ^ 2.4 else analysisinMicrosoftExcel. var_G = var_G / 12.92 if ( var_B > 0.04045 ) var_B = ( ( var_B + 0.055 ) / 1.055 ) ^ 2.4 6.1. CMYK  RGB else var_B = var_B / 12.92

//CMYK values from 0 to 1 var_R = var_R * 100 //RGB results from 0 to 255 var_G = var_G * 100 var_C = ( CCC * ( 1 - KKK ) + KKK ) var_B = var_B * 100 var_M = ( MMM * ( 1 - KKK ) + KKK ) var_Y = ( YYY * ( 1 - KKK ) + KKK ) //Observer. = 2°, Illuminant = D65 RRR = ( 1 – var_C ) * 255 XXX = var_R * 0.4124 + var_G * 0.3576 + var_B * 0.1805 GGG = ( 1 - var_M ) * 255 YYY = var_R * 0.2126 + var_G * 0.7152 + var_B * 0.0722 BBB = ( 1 - var_Y ) * 255 ZZZ = var_R * 0.0193 + var_G * 0.1192 + var_B * 0.9505

6.2. RGB  HSV 6.4. CIE-XYZ  CIE-L*a*b* //RGB from 0 to 255 //XYZ from 0 to 100 //HSV results from 0 to 1 //CIE-L* result from 0 to 100 var_R = ( RRR / 255 ) //CIE-a* result from -83.85 to 98.25 var_G = ( GGG / 255 ) //CIE-a* result from -107.86 to 94.48 var_B = ( BBB / 255 )

//ref_X = 95.047 Observer= 2°, Illuminant= D65 var_Min = min( var_R, var_G, var_B ) //ref_Y = 100.000 var_Max = max( var_R, var_G, var_B ) //ref_Z = 108.883 del_Max = var_Max - var_Min var_X = XXX / ref_X

var_Y = YYY / ref_Y VVV = var_Max var_Z = ZZZ / ref_Z if ( del_Max == 0 ) {

//This is a gray, no chroma... if ( var_X > 0.008856 ) HHH = 0 var_X = var_X ^ ( 1/3 ) SSS = 0 else } else { var_X = ( 7.787 * var_X ) + ( 16 / 116 ) //Chromatic data... if ( var_Y > 0.008856 ) SSS = del_Max / var_Max var_Y = var_Y ^ ( 1/3 ) del_R = ( ( ( var_Max - var_R ) / 6 ) else + ( del_Max / 2 ) ) / del_Max var_Y = ( 7.787 * var_Y ) + ( 16 / 116 ) del_G = ( ( ( var_Max - var_G ) / 6 ) if ( var_Z > 0.008856 ) + ( del_Max / 2 ) ) / del_Max var_Z = var_Z ^ ( 1/3 ) del_B = ( ( ( var_Max - var_B ) / 6 ) else + ( del_Max / 2 ) ) / del_Max var_Z = ( 7.787 * var_Z ) + ( 16 / 116 )

if ( var_R == var_Max ) CIECIE----L*L*L*L* = ( 116 * var_Y ) - 16 HHH = del_B - del_G CIECIE----a*a*a*a* = 500 * ( var_X - var_Y ) else if ( var_G == var_Max ) CIECIE----b*b*b*b* = 200 * ( var_Y - var_Z ) HHH = ( 1 / 3 ) + del_R - del_B else if ( var_B == var_Max ) HHH = ( 2 / 3 ) + del_G - del_R

if ( HHH < 0 ) HHH += 1 if ( HHH > 1 ) HHH -= 1 } 6.3. RGB  CIE-XYZ //RGB from 0 to 255 //XYZ results from 0 to 100 var_R = ( RRR / 255 ) var_G = ( GGG / 255 ) var_B = ( BBB / 255 ) if ( var_R > 0.04045 ) var_R = ( ( var_R + 0.055 ) / 1.055 ) ^ 2.4 else var_R = var_R / 12.92 if ( var_G > 0.04045 )

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