Sterne, Pythagoras and Pierrot (PNM 21-1+2, 1982)

7/28/2019 Sterne, Pythagoras and Pierrot (PNM 21-1+2, 1982)

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PYTHAGORAS AND PIERROTan approachto Schoenberg'suse ofnumerologyintheconstruction f Pierrot unaire'

ColinC. Sterne"It s not uperstition,t s belief."' hus did Arnoldchoenbergdefendhe mportanceeattachedothepower fnumerologynd to tsinfluencen his ife. isfearf henumberhirteenscommon nowledge.So, too, s thewaynwhich hat umber arked isbirthSeptember3,1874) anddeathFriday,uly3, 1951, t ge76). Schoenbergssaid ohave bservedhe laggingfhis reativenergyuringhe ompositionalprocess t measureswhosenumbers erethirteenr itsmultiples,circumstancehat eportedlyedto hisnumberingfmeasuresnhismanuscriptss 12, 12a,14. Wearetold hatven he hoice f nameforhisson,Lawrence dam,was madeonly fter oland,henameoriginallyntendedorhimandan anagramfhisfather'sirstame),wasfoundobenumerologicallynfavorable.choenberg'slmost atho-logical ear fthenumber hirteenroduced orebodingsf hisdeath,and, nesuspects, ay venhave ontributedobringingt bout.Nor has the numberymbolismfSchoenberg's ierrotunaire

beencompletelyverlooked.thas beennoted hat orhisOpus 21Schoenberghose21 ofAlbert iraud's iftyoems s textstranslatedfrom renchntoGerman yOtto richHartleben),ivingheworkhecompleteitle reimal iebenGedichteus ALBERTGIRAUDs ierrotlunaire,nd beginningo composeit in thethirdmonth f a yearcontaininghe ymbolicigits 1 inreverserder, 912. Inspite f llthis, urprisinglyittlettentionas beenfocused n thepart hat he

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numbers and 7 play s structuraleterminantsithin hework-somethingchoenberg'sitlebviouslyuggests.2Pierrotunaires indeedgovernedynumbers,otbythecrisp,bright umbers f mathematics,utbythemoreshadowy,moonlitnumbers f numerology.ome knowledge f basic numerologicalproceduresessential,hen, eforepproachinghemusic.3Thenumerologists convincedhat umbersndnumber elation-ships overnhe niversendthat hewell-beingf n individualependsuponhisbeingn ccordwithosmic ibrations.e traces isbeliefackto ntiquity-tohe gyptians,ebrews,haldeans, hoenicians,hinese,andHindus--butt sPythagorasowhom egives redit orstablishingthesystemn theWest.As to thepower f numbersn individuals,person'sname nd birthdatere thetwo reaswhere he nfluencefnumberssmost tronglyelt. o determinehe everal umberibrationsin person's ame,he ettersf he lphabetrenumberedonsecutivelyfrom through6. In allaspects fnumerology,owever,ouble-digitnumbersrereduced osingle-digitumbersy dding hedigits. hetenthetterf he lphabet,, orxample,s notnumbered0,but . Thefollowinghart ill emonstrateheprocedure.

1 2 3 4 5 6 7 8 9A B C D E F G H IJ (K) L M N O P Q RS T U (V) W X Y Z

Note hat wo etters,andV,areparenthesized.hey rethe11thand22ndlettersf he lphabetespectively,ndtheyetainhose alues.Exceptionsothe eneral ule, 1and22 arenevereducedn raditionalnumerologyndarereferredoas masterumbers.The application f the chartmaybe demonstratedy usingSchoenberg'same:

ARNOLD SCHOENBERG195634 1386552597(=28 = 10=)1 +(= 51=)6 = 7



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Theprocesss that f ssigningach letternthename tsnumbervalue, rrivingttwo ums, nefor hefirst ame nd one for he ast,reducinghose umsby dding igits,ndarrivingt the inalum, -thebasicnumberalue or choenberg'same. Expressionumber"sthenumerologicalerm. ut here readditionalumberso be derivedfrom person'sname.Here is a listofthosepertainingo ArnoldSchoenberg:4

First ame LastName TotalBasicnumberexpression) 1 + 6 = 7Consonantsquiescentelf) 3 + 8 = 11Vowelssoulurge) 7 + 7 = 5Firstnitialcornerstone) 1 = 1Totalnumberf ettersname ycle) 6 + 1 = 7

Theprocedureor rrivingt thebirth atenumbers not ertinentto themattermmediatelythand.Nor re thenumbersssociated iththeplanets, itholors,with ems, tc.Butnumbersre also associatedwithhenotes f he cale.Thetraditionalrocedure,negeared o thediatoniccale,wasobviouslyf ittlese toSchoenberg. ismodification,tobesubstantiatedresentlyromts pplicationnPierrot,esultsnthefollowingetofnumberalues orhe hromaticcale:

C C# D D# E F F# G G# A A B1 2 3 7 5 6 7 8 9 1 11 3

Itwillbe seen that choenberg's rocedurefassigning umbervalues o caledegreesssimilarothat sedfor he lphabet. ,the enthnote n the hromaticcale, s reduced obecome1,andB,the welfthnote, ecomes . A#. s expected,s not educed, ut etainstsmasternumber,1.Totallynexpected,owever,s the ssigningf7 toD4,the ourth



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note. choenberg'serivationf for hat otes not ifficultodiscover:D# s notonly hefourthote n a chromaticcale built n C, but hesixteenths well.And16=6+1= 7. But hat anSchoenberg'seasonbe?The mostogicalxplanationastodo withhatatefulumber,3.Inreduction,3=4. AndSchoenbergeemsdeterminedoavoid13,evenin ts eduction.nadditionalactor ay e that # s Ebhasparticularsignificanceor he omposer:s Es inGermant s his ignatureote,representinghe nitialf his astname.To give hismportantote 4valuewouldbe unthinkable.Therewillbe occasion o returnoD*-EbandSchoenberg's usicalignatureater.)wo dditionalonuses esultfromhebanishmentf4 from hecanon: 1) thescale is thusmadeconsistentith he lphabet,othhaving total umberalue f9, and(2) the calecontainsdouble ortionf choenberg'savoriteumbers,1,3, and 7.Inthetitle fPierrotchoenbergndicateshe mportancenthework f wonumbers, and7. The importancef heir roduct,1, isalso implied,ndalthough1 does indeed ssume ome mportancenPierrot,tmust e rememberedhat umerologically1=3. Ithas beenpointedut, orxample,hat he pusnumber fPierrot,1, isreversedin he ast wo igitsf heyear f ts omposition,912. But hissnot hepoint.hetermretrograde"s not partf henumerologist'socabulary.Ratherre 12 and 21 related ecauseboth re3 values.On theotherhand,he umof and7 is importantnPierrot.headditionfnumbersis, fterll, nessentialart fnumerology:+3= 10= 1.Numerologistsoften oint ut, hough,hat numberrrived t byreduction evercompletelyoses itsoriginalmprint. 1 arrived t through0, forexample,till etainshevibrationsf10. This factwill igureosomeextentnthe nalysisfPierrot.There re, hen,hree umbershatssumeprimarymportancenPierrot:, 7,and1.Numbers1 and 10 lurkn hebackground,akingtheirresenceelt,utnot eing ut o useexcepts 3 and 1.Twoother umbersigurenPierrothat renot ingledut nthetitle f thework: hemaster umbers,1 and 22. There re severalreasonsfor heir ppearance. he firstfthesehas to do with heirnumerologicalignificance.tmust e keptnmind hat , 7, and1 arenotmerelyumbersonumerologists.heyrenot ven lucky"umbers.Ratherrethey owerfulorces or oodorevil, xertingheirnfluenceon the niversendprofoundlyffectinghe ives f ndividuals.rat east



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they ere hatorArnoldchoenberg.ere remeaningsor , 7,and1thatregenerallygreed ponbynumerologists:3 - artist,he ealm f rtisticxpression7 - priest,he ealm f pirituality1 - creator,nnovator,ioneer,he ealm finvention,f nnovationThethree umbers ay e seen as appropriateo Arnold choen-berg.But more mportant,hey re particularlyppropriateoPierrotlunaire, here he rt-artistelationshipnd the piritualspectofthatrelationshipsa primaryheme.11and22 have hesemeanings:11 - idealist,isionary,reamer,he ealm f rtisticinspiration22 - practicaldealist,newhouses hispowero benefitmankindAgain,he ppropriatenessf hese umbersothe ubjectmatterfPierrotsapparent.hestronglavorf11 and22 throughouthefinalsection f Mondestrunken,"hefirstong nPierrot,uggestschoen-berg's iew f hePoet-Pierrot-Schoenbergigureescribedhere.5Number 1 is also importantecause tfiguresmongSchoen-berg's wnnamenumbers.nd inally,t s of ome nterestonote hattis associatedwith omeoneelse whofiguresn Schoenberg'swork:Pierrotimself,hose otal amenumbers11,whosenitialumbers7,andwhosename ontains letters.

The 3X7 poemsofAlbert iraudwhich hoenbergelected orPierrotre eachthirteenines ong.However,hepoetic orm,hatf herondeau,aves he omposerromverhavingo cometogripswith 3,since ines ne andtwoofeachpoemarerepeateds lines even ndeight,nd ine ne srepeatedgain s line hirteen.heresultsonly 0(= 1) differentinesneachpoem. choenberg'somposition,isOpus21 (=3), wascomposedn1912 =3), whenhe omposer as37 yearsold = 10= 1). He commenced ork nthe ompositionnTuesdayday3 of heweek),Marchmonth) 12 (=3), andhe hadcompleted0 ofthe 1 songsbyMay 0. Hedelayedompletinghework, owever,ntilhecould ompletehe emainingong nTuesdayday ),Julymonth)9--thenumbersf he wo ates, 2 and9,adding pto21 (=3).6 Inhisotherwiseermanitle,choenbergetainshe renchPierrotunaire"--with lettersneachword. ive nstrumentalistsnda reciterre called



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for operformhework,ndthey,lus conductor,orm group f7.With he hreepecifiedlternatenstrumentspiccolo, assclarinet,ndviola), his umberecomes7+3=-10=1.A mostmpressiveisplayfPierrot umberss presentedn the1914 edition'sitle age,theformatfwhichmust ertainlyavebeenoverseeny he omposer. he numberf ettersnd ofwords n ach ofits inessusedtoproducehe ignificantumbersf he omposition:words lettersper ine per ine3 DERERSTENNTERPRETIN 20=23 FRAU LBERTINEEHME 18=93 INHERZLICHERREUNDSCHAFT 24=6

17=8-=223 DREIMALIEBEN EDICHTE 21=33 AUSALBERT IRAUDS 16=72 PIERROTUNAIRE 14=55 (DEUTSCH ONOTTO ERICH ARTLEBEN) 28=1 =16=716=7 -31 FOrineprechstimme 19=17 = 16= Klavier,l6teauchPiccolo), larinetteauchBass- 41=56 7 Klarinette),eige auchBratsche)ndVioloncell 40=410=1 -=111 (MELODRAMEN) 10=11 = 4von 32 ARNOLDCHONBERG 15=6

10=1Op.21



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Even he ndividualoems fPierrothare, orhemost art,nthisnumber laywithwords nd letters,nd one factorn thecomposer'schoices fromHartleben'siftyranslationsould seem to have beenwhetherrnot heir umbersittedisown cheme. he text f Monde-strunken,"he irstf he ongs, itsxtremelyell:words lettersper ine per ine7 DenWein, enmanmit ugen rinkt, 27=97 GiesstNachts erMond nWogennieder, 32=54]7 Und ineSpringflutberschwemmt 29=113J Den stillen orizont. 18=9

16= 34=774] Geloste,chauerlichnd Oss, 25=75 DurchschwimmenhneZahldie Fluten! 31= 47 DenWein, enmanmit ugen rinkt, 27=97 GiesstNachts erMond nWogennieder. 32=5

25= 761 DerDichter,endie Andachtreibt, 29=1 16 257 Berauschtich n demheilgenranke, 31= 45 Gen Himmel endetrverzCckt 25=78 Das Haupt nd aumelndaugt ndschlorftr 37= 17 DenWein, enmanmit ugen rinkt. 27=9

32=519=10=1

"Mondestrunken"ill lso serve o demonstratehemusical ro-cedure ofArnold choenberg. he three tanzasof Giraud'spoemimpose nthepiece ts verall esign f hreemusicalections,he loseof ach section eingmarkedy ritard.ection is 14 (=5) measuresin ength.ectionIalso consists f14 (=5) measures,nd SectionII s



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11 (=11) measures n length. he total ength f thepiece is 39(=12=3) measures,ut tsnumerologicalengths5+5+11 =21=3.The nfluencef he ive umbers,,3,7, 11,and22, isfelt,owever,otonlyn he otalengthf hepiece nd n he engthsf ts hreeections,butnthe engthf veryneof ts omponenthrasesswell. hetimespanof achphraseandeachrest)smeasurednunitsf ighthotes,sixteenthotes,r, essfrequently,uarterotes. choenberg'shoice ftheunitfmeasureeems odepend n thepredominantctivityithinphrase.At times heactivityfthe ines oncurrentith phrasewilldeterminetsunitfmeasure.Withinachphrase achnotewillhave pitch umberalue, ndthe um f hese alues,n ppropriateeduction,ill e the itch umbervalue f hephrases opposed o ts imepanvalue.Two additionaletsofnumber alues regeneratedy hemusic.The firstf hese erivesromhemeasurementfdistances etweenheindividualitchesf phrase. ppliedochords,hemeasurementsthatof he istanceetweenachof hepitch omponentsf he hord. heseintervallicalues renormallyeasuredn emitones.hesecond et sasimplequantitativeumberingf thepitches hatgo to makeup aparticularegmentf line.To sumup,there refour lementsn theclosednumber-systemusedby choenbergnPierrot:1. Pitchvalues,derived rom henumberss assignedbySchoenbergothe welveotes f he hromaticcale2. Time panvalues, erived rommeasuringhe engthfmusicaltatementorrest)neighth otes,ixteenthotes,orquarterotes3. Intervallicalues,derived rommeasuringhedistancesbetween itches,n either melodic ineor a chordformation,he unitofmeasurementormallyeingthesemitone4. Quantitativeitchalues, erived romountinghenumberofpitcheshat otomake pa particularusical tatementTheprocesswill e clarifiedy ctuallypplyingt oSchoenberg'smusic. score f Mondestrunken,"ontainingnumerologicalnalysis,formsn integralart f hepresentrticle.npursuitf larity,nlylursandphrasemarkingsave eenretained ith henotes f achpart,uchmarkingss those fdynamicsndtempohavingeeneliminated.he



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part or hereciter as beenbeamed norder o makephrasesmoreapparent,nd Schoenberg's ote tem ancellationsnthat arthavebeenremoved.Numberalues or he ime panofeachphrase avebeenplacedbelow hestaff,hoseforpitches avebeenplacedabove,with otalscircled ormphasis.n xtendedhrases,articularlyhose f he eciter,subtotalsf mallernits ave een alculatedhereheyre ppropriate.Each ubtotalsmarked ith semicircle.inal otals ave een omputedfromhemnd circled.7"Mondestrunken"egins ith quasi-ostinatoigurelayed y iolinandpiano. he violin igures one of3 notes. ach of he wopitchesnthefigure,#ndD#,hasa pitch alue f7,and3X7=21 =3. The3eighthotes f he igure,ith heirnitialighthest= 1),arerepeatedfour imes,herebyccupying time panof16=7 eighth otes. herange f he igureD#-F#)s3 semitones.Meanwhile,hepiano splayingfiguref7 notespreceded ysingleixteenthest 1).Thepitchalue f hese otes s 9+5+1 +3+11+2+8=39= 12=3. The four epetitionsf he igureccupy timespanof16=7 eighthotes. herange f he igure,"#-g"'#,measuredin emitones,s19= 10= 1.Alternatively,henterval#-G#f onsideredwithinn octave, epresentsdistance f7 semitones.he unreducedsum of thepitchess 39-the same figures thetotalnumber fmeasuresn "Mondestrunken."ndits ntervallicalue,measurednsemitones,s4+4+2+4+9+6=29= 11. Butn his articularnstance,an interestinglternativeeasurementanbemadewith heunit f hewhole one:Go to E=2 whole ones, to C=2 whole ones, toD= 1whole one, ndD toBb=2 whole ones.With he umthus ar t7, aswitchs thenmade othe econd f he wo vailable hole one cales,and the finalC#to G=3 wholetones.The result s 7+3=10=1.Acceptinghis ivisionf he notes nto +2 leads o notherevelation.Thepitch alue f he irstive otes s 9+5+1+3+11 =29= 11, andthat f he inal wonotess2+8= 10. 11+10=21.Beforehe iolinndpiano iguresreconcluded,he lute akesnentryollowing restwith time panof 10 (=1) eighths. is lineoccupies time panof10 (=1) eighths,nd thepitch alue fhisfivenotes s 1+11+1+7+1=21=3. The intervallicalue of hisphrase(measuredn emitones)s 14=5, a subtotalhich, hen dded othevalue fhis econdphrase,esultsn 12= 3.



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The reciterelays or timepanof eighthseforenteringithphrasewhose imepan s 21 (=3) eighths.ts itchalue s11 +4= 15=6, but hat f hefollowinghrases22+6=28=10=1, the otal fthe wo hrases eing +1 -7. The intervallicalue f he irsthrases34=7, while hat f the econdphrase s49=13=4. 7+4= 11. Thesecondphrase,ncidentally,inceitbeginswith hree ixteenthotesfollowingsixteenthest,must ave ts imepanmeasurementade nsixteenths.hat alue s39 12= 3.ThequantitativeitchaluesnSection of Mondestrunken"reasfollows; Flute5+(13=)4+(14=)5+(16=)7=21 =3Violin(12=)3+(28=)1 + 1+ 11= 16=7Reciter

(31=)4Piano(28=)1 +(19=)1 +9+(34=)7+(12=)3+(14=)5=26=8The part or hereciternSection contains 1 pitches, figurewhich t firsteemsdisappointing.nmeasure , however,choenbergtakes n unusual ction: e insertsn eighthestbetweenhe yllables"Spring"nd"flut." his aesuranot nly roducesnunexpecteditchvalue f22 at that oint,ut lso divides he ine nto 1 pitches lus10

pitches. and1 arethus he wo uantitativealues.Thetotaluantitativealue orhe ections 22. Thetotal or ectionII salso22, andthat or ectionII s 11.22+22+11 =55=10= 1.Both heflute nd thereciter egin nd end their hrases t thebeginningf Mondestrunken"nthenoteA (= 1) andpivotroundhatpitch. fmore nterests thevery irstoteof thepiece-the piano'sopening #Thatnotemarks hebeginningf ach of he hreeectionsof he ong. tsnumberalue s9, and tfunctionshus.G# s,however,not nlyheninthhromaticote, utnote 1 as well-a fittingeynote,then,othe ong nd tothe ntireomposition.Theprocedureo beobservedn"Mondestrunken",s it ontinuesto unfold,s theprocedure or hewholeofArnold choenberg'sPierrotlunaire. , 3, 7, 11, and22 retain heirontrolhroughouthe omposition.What sfascinating,owever,stherichvarietyf pproachestothosekey



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tobe,not rbitraryrrangementsf welve otes, ut he arefulntegrationofthenumber aluesofthose notes. tfollows, hen, hat oemphasize henumbers f therow nthis atermusic, s has been done,and to ignorethemysticaliguresfnumerologystoproject seriously istortedmageofthecomposerand hiswork.

NOTES(1) QuotedbyWalter ubsamenn"SchoenbergnAmerica," he Musical

Quarterly,ol.XXXVII,o.4, October, 951.(2) GeorgePerle, ornstance,inhis rticlePierrotunaire,"ublishednTheCommonwealthfMusic,editedyGustave eeseandRoseBrandel,heFreePress,NewYork, 965) makes he tatementhatSchoenberg's seofmagicnumbersas, f ourse, o musicalignificance.ince ach of hepoems onsists f hirteenines,n unluckyumber,erhaps ethoughttwellto organize he wholeaccording o two ucky umbers,hree ndseven."(3) Muchofthe nformationn numerologys supplied rom ourDaysAreNumbered yFlorence vylinnampbell,M.A.,The Gateway,erndale,Pennsylvania,931. There are manymoremodern,moresystematichandbooks nthe ubject, ut his atheruaint ublication,classic n tsfield,eflectsumerologys itwaspracticeduringhefirstuarterf hecentury,he eriod hen choenbergmust ave irstecome nterestedn t.(4) Thecomposer sedthe riginalpellingfhisname, Schonberg,"uring

theperiod f he ompositionfPierrot.hechange o"Schoenberg" asevidentlyade oon after is rrivaln heUnites tatesn1933. Thenamenumbers or heoriginal pellingrepresentedelowfor omparison.ncomputinghe xpressionumber,awvalueshavebeenused ratherhanreduced nesinorder ot o conceal he mportantotal, 1.Arnold ranzWalterchonberg,israrelysedfull ame, as a consonantumber alueof13.



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ARNOLD SCHONBERG195634 138652597First ame LastName Total

Expression 28 (= 10) + 46 (= 10) = 74= 11Quiescentelf 3 + 8 = 11Soulurge 7 + 11 = 18=9Cornerstone =1Name ycle 6 + 9 = 15=6(5) That choenbergdentifiesith hepoet sstronglyuggestedy hemusic.Firstf ll, he ello,havingemainedmute uringhefirstwo ections f"Mondestrunken,"nters ith n impassionedongatthefirst entionfthepoet. olidly rounded y 3-notepedal 10= 1),and with heviolinsoaring irilybove t, hisine s saturatedith 1'suntilt inallyomestorestwith ive izzicatohords. he four-notehord f hefinal ar,playedtwice, onsists fthenotesC, B (H inGerman), ' (readas Eb, S in

German), -forminghe ignature.SCH.Recallinghat educed umbersstill etainome of heirriginallavor,he emptationsstrongoassignAthevalueof10 here, herebyeadinghe hord s 1+3+7+10=21--asummation,s itwere, f henumbershat ave ontrolledhepiece. n heanalyticalcore, hat emptationas beenyieldedoon thefinalhord,chord hat hen as,not nly pitch alueof21, but n intervallicalueof21 as well.(6) The dates re fromJosephRufer, heWorks fArnold choenberg:

Catalogue fHisCompositions, ritings,ndPaintings,. Newlin,r., t.Martin'sress,NewYork, 962.

(7) Neitherhe ntervallicor he uantitativeumber alueshavebeen nteredinthe nalyticalcore.To havedone so wouldhavebeen toproduce nindecipherableumble fnumbers.hentoo, heproceduresor ountingnotes ndmeasuringntervalsre, fterll, imple nough o as tohardlycall forguidance.This action s not to be interpreteds an attemptominimizehe mportancef itherntervallicrquantitativealues.On thecontrary.here re instancesnPierrot,or xample, here he ntervallicvaluewould eemto takeprecedencever hepitch alue. ucha situationexistsn hepassacagliaheme fNo.8,where heheadmotivef he heme,E-G-Eb,has a pitch alueof 5+8+7=20=2. Two is not significantnumbernPierrot.he intervallicalue ofthesamemotive,owever,s3+4=7.



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Mondestrunkena numerological analysis

SEcroM ff17FLUTE

I,,

= ( , >0 =07 7 7 - -4 = 12tVIOLIN

tI in6= ,CELLO1 5 11 9 1 1 5 9= 1t = 1

DEN WEIN, DEN MAN MITAIU.EN

TRINKT, GIESSTRECITER 2 4J 1 0L

l2I 12

---- x0=

!9= :=

IUptb= ! "==



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9 138 7'= = 10

f117 2 6 3 1 2 11 9 7 7 7 7 2 3 391 i

S3 11 7= 3 2 1 7 3CzUNDEINE SPRING- FLUT USER- SCHWEMMT DEN.7 l w I6 31=110= 9 2 3 3 9 1 i1 8 2 6 5'8= f= 13 = (

98 2339 82666663



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3 7513112 159 7 =3 112 874 ,

fl= + 1= 172= 5 1 2 11 1 7 ~ 3 7 7=FLAG-.

5 5 9 1 3 ISIlL - LEN Hoi - ZONT

12{-+-+ '---

P--------------- +S5 7 2 3 6 7= =3 9fog 0= 1 3 1 8 5 3= 1=3



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S= = ) 1 Z 3 710.4 =

9 9 7 7 7 3 1

.19-& - I

8 7 3 2 6 2 1 1 =31 =NACHTSDER MOND IN W0 - CN NIE- DER,

5 7 5 7 = 27 = ,9 - - - --=10== 9) = =@ L0



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3 2 5 7 7 3 2 5 =92

SIecT I = 14,ArS 5TIME PAN=4J =10=1



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Sect~oN1,i z 8or 3 7l 1 G ' 7 7 7= f f 3 r1z 779 39 =FLvrE ~~ ~FIf > lof, A( , , @, ,L

5 5 1 & ( tfCfIOUNRCITER

I

7 6 9 1 f 7 7 7 I1(o 7"?u:.f" '= . . . . ..OE, - .,

f 7 7 7= 9, - 9-. 2 3 ,,7 4 tow I LW.- IA I,



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f1f I2 2 1 f = 7 9f7 0= 1 f577 3 7 7-95 0o= = 4 , = iZ = (5

9- 7 5 l 1 if I7 1 910 0

/ 1 11= 3 9 7 1 5 21 115=- LU STE, SCAU ER IC UND SUs, DURC

43774.4. ......532 I1," ". -.,

? 1 & 734 7 1=t19t1



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67= 7 7 8 93235 o 9=j197 I SfI 9=S ?t I- =o; 4 = = -=

6 7 11 1= 9 7 2 ( 5 7= 7 79S= @ 7 1O =3?

9 7 3 o 3, = 5 1 9 8 i3CHwlMMENHNEAHL DIE FLU TEN DENEIN,rJANiTruaN

if 3 i I=39ft=lo.o



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f t if- 9f1I 91foD 39 *1sii 9)------- b, 6 - ---5 7 7 7 5 3 3=f3 9f= 1 9 6 9 I 8 -W9== =32 57TAINKT, GIESST NACHTS DER MOND IN OOEN oiE- DER.26- io- ]-k i

S = 9 2 8 f 9 11 7 1 7= 1 919=lo J9==3 41fI Iw~oP %



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1 9 7 5 = 9q= 1 9 = 9 i 1=34, ( l =( 1s=(. 5s=(9# ift=& f-=ie-=.ieS 1 = 7 7 7= 3 3 3 7 1 3 bso=(lo

52)= o= O27 28

71 3 5 11 S 1 7 1 7 7 5 & 33 t12 S54C7 1T= 95

SCTiNIAI='14=OAKSTiMPAN70 = 7



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SICTIOCm9 5 1 2 112 5= 1 ( 2 7 1 3 9= 117 3 5 2 7 1= = =

C,, 29=

LA)- -50) (! ~5--"-O ? ,1 I1 9 ft lop1=40 s :?Vauw" 9 7 T 1 I 9 ICEUO

2, 4( " t I, 5! 7 F ' "= "9 7= 1Rec rr DKHTER, DEN

DIE AN- DACIITTRI

T, BLr- RAUSCNTSC?

AN DEt HAILGEN

7 9



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?' =" =0= _ ,

i/Ai f i 7 7(75 soC

27 = (f 50 = CTANKE, GEN HIMMEL WENDET ER VEA- ZOCKT DAS HAUPT

.-. i = -,.25 -i 9 7 9 I=9 2129yI



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13 1t1If 5iz 177

7 6 7 7! t6 k, ?LI I

S= 12 =

2 3 1 37 5111= 9 5 S.UND TAUrIELNO SAV.T UND SCAILRFT cR DEN WElN, NDN MAN MiT AUAN

73 o F h 2190O 9 1 3if.9 = 1,= (

9?4



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NOTES ONTHEANALYTICAL COREBar Beat7 1 7 (flute)gainst (violin)7 1,2 Throughouthe core, hord ormationseceive heir itch aluesfromhe umof heiromponents.hepiano hord nthe econdbeat f his ar, 10= 1 chordwithn intervallicalue f11 (andthus he mplicationf21), will ater erve s the22- pedal nSection II.

10 1 "stillen"eceivespecial mphasis ybeing he ingleword ungin Mondestrunken."ts itchalue s5+8= 13, implying,erhaps,that hehorizon s notonly till, ut, ackinghe aving raceofmoonlight,terilend lifeless s well.Such an interpretationssupported ythephrase n theright andof thepiano partbeginningn the ast ixteenthote fmeasure . Its itch alue s13 (=4). Dovetailing ith he13 of"stillen,"hepiano 13 istransformednto 7, after dramatic reak, ythemysterious3X22 chords fmeasure 0.10 2 Asnotedn he core, hepiano hord erehasa pitchalue f 2.Its intervallicalue is also 22. Andwith henumbers f itscomponentitches,tbecomes veritableompendiumfPierrotnumber alues:1+3+7+11= 22. Inaddition,his eriesdrawsattentiono theprocessbywhichheoriginalwonumbers f hetitle, and7, generatehe thersnthe et:3+7= 1; 3+7+1 =11; 3+7+1+11=22.



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10 2 The solationf he iolin andthe acthatt sthe nly armoniccalled for nthe ongbothgive henote pecialprominence.tsfunction,oo, s significant:s 8 ittransformshephrasewhichprecedes tfrom pitch alueof 11 to one of 10. "Power" s thenumerological eaning or . Meanings or 1 and 10 (1) havebeen uggestednthebody f he ext.As must e apparentromhe everal ommentsmade ontheactivityn hismeasureappropriately,easure 0 of hepiece), tssignificanceouldbestbe explained yreferringothenumero-logicalmeanings f numbers nd to Schoenberg'spersonalinterpretationnd use ofthem.A thoroughxaminationfthissubjectwouldbe extraordinarilyevealing,otonlyforPierrotlunaire, utfor heentireorpusofSchoenberg's ork. uch aprojects,of ourse, uitebeyondhe copeof hepresenttudy.

26 2 The 5 value as thetotal or hereciter'sitchesnSection I isequivocal.Addingttothe7 total f Section resultsn 12=3,whereasombiningtwith he otal f ectionIIproduces 6=7.29 1 The numberfnotesnthe irsthrase f he ello ine s 11,andthat f he econdphrases10. 11+ 10= 21=3. Withhe emitoneas theunit fmeasure,he ntervallicaluefor hefirsthrase s34= 7. That or he econdphrases 22. 7+22=29= 11.29 1 The timepanforhe ightand f hepianopart romhe econdhalf f his eatuntil he ndofbar34 is29 = 11.37 3 11 (flute)gainst (piano)

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Sterne, Pythagoras and Pierrot (PNM 21-1+2, 1982)

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