Consonance and Rhythm in the Organum of the 12Th and 13Th Centuries

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Consonance and Rhythm in the Organum of the 12Th and 13Th Centuries Consonance and Rhythm in the Organum of the I 2th and I 3th Centuries By ERNEST H. SANDERS MODERN OBSERVERSof medieval music usually make a sharp dis- tinction between monophony and polyphony, between chant and its accretions, on the one hand, and organum, on the other. One must remember, however, that certainly in the first several centuries of Western Mehrstimmigkeitan "organized"melody, whether it was a chant or a paraliturgical versus, was not thought of as a musical opus of distinct stylistic specificity, but as an elaborated version of that melody. An Alleluia was an Alleluia, whether it was rendered simply as a plainchant, with tropes, or with a vox organalis. This is borne out by the fact that, at least to the mid thirteenth century, those writers who described polyphonic techniques dealt with them at the end of their treatises as an aspect of the main topic, which was chant, togeth- er with all its appropriate subtopics such as intervals, modes, and so on. Generally, the authors were interested not so much in composi- tion as in modes of rendition. Since I am concerned with certain aspects of musical thought in the twelfth and thirteenth centuries, I begin with a lengthy quotation from the treatise by the so-called De-La-Fage Anonymous of the twelfth century. Concluding his thirteenth chapter, "Since, therefore, we have at length, with God's help, fully expounded the proper man- ner of producing a chant, it behooves us to hasten to put together a guide for the properly constituted production of discant," he proceeds to the discussion of polyphony: Discant must be set againstchant as a counterpart,because it should not sound in unison with the chant, but higherand lower. For when the chant ascends, the discant must descend, and when the chant descends, the dis- cant, on the other hand, must ascend, so as to be true to its nature.Thus, whoeverof you wishes to put together(componere) a discant well andfittingly, you should strive always to be aware and securein your knowledgeof the consonances-to wit, fourth, fifth, and octave-as absolutelyindispensable; for all discantthat is made properlyis put togetherwith these, and if it is truly supposedto be a discant,it can in no way be constructedwithout them. This content downloaded from 159.149.103.9 on Sat, 6 Apr 2013 18:39:10 PM All use subject to JSTOR Terms and Conditions CONSONANCE AND RHYTHM IN ORGANUM 265 ... In fact, either a discantwill concordwith a chant by meansof any of these, namelyfourth, fifth or octave, or it will form a unison with it; other- wise it absolutelywill not be a discant. And one must bewarewith all care and the greatestcaution that the discanthave no more notes than the chant, becauseboth must proceedwith an equalnumber of notes. But if by chance, in orderto havea morebeautiful and elegantdiscant as well as for the greater pleasureof the listeners,you shouldwant to mix in some organalpassages at the end of a periodor sectionat the last or penultimatesyllable of the text, that is permissible,even though the natureof the thing does not allow its inclusion;for it is beyond dispute that discant is one thing and organum another.Thus, when you wish to ornamentthe end of a periodor section, makesure that you don't all too frequentlygive the discantexcessive melis- maticpassages, lest in the mistakenbelief that you are makinga discantyou actuallyconstruct an organumand destroythe discant.... Now, to makean organumit is necessaryto know three things, that is, how it should be begun, by what method it should proceed, and in what mannerit effectsa cadence.It is equallynecessary for the organizatorto have knowledgeand awarenessof the consonances,because without them orga- numcan in no way be put togetherby anybody.Thus you haveto knowthat organumbegins with one of the consonancesor with a unison, i.e., on the same pitch as the chant. ... Discant and organum, however, are consideredto differ in this way: while a discant correspondsto its cantus with an equal numberof notes, which form consonancesor unisons with it, an organumis joined with its cantusnot note againstnote, but with an unlimitedmultiplicity and a kindof wondrousflexibility; it must begin, as has been said, with one of the con- sonancesor in unison with the chant, and fromthere, by singingwith much esprit, accordingas might seem appropriateand at the organizator'sdiscre- tion, it must ascendabove or descendbelow the chant, but at length it must place a division at an octave or unison. And indeed it may have a pause, which we call a clausaor clausula,only from the positionof the octaveor the unison, which, for the sakeof clearerunderstanding, is demonstratedby the following organum:Be ne di ca mus Do mi no [the music is missingin the manuscripts].See and recognizein this Benedicamusthe way pausesare placed;also considerhow it differsfrom discantand chant by its numerousnotes and how, by ascending,descending and skitteringabout, it quicklygets away fromthe chantand quicklyagain glides backto the chant. Note, therefore,the pauses and the breathingspots, because in organum pausesand breathingspots have differenteffect. Now, pauseswe call those haltswhich are madeby the organizatorat the unisonor octavefor the sakeof restingor dividingthe organuminto segments.Breathing spots we call those interruptionsthat are made by the organizatorwhen the organum[ascends or?] descendsfrom the chant to the fourth, i.e., the diatesseron,or to the fifth, i.e., the diapente,and there, breathinga little bit, recovershis breath, that he might better proceedto the pause.' 1 First publishedin Adrien de LaFage,Essais de diphthirographiemusicale (Paris, 1864;reprinted Amsterdam, 1964), pp. 355 ff. The polyphonicpart of the treatise was given by Jacques Handschinin "Zur Geschichteder Lehre vom Organum," This content downloaded from 159.149.103.9 on Sat, 6 Apr 2013 18:39:10 PM All use subject to JSTOR Terms and Conditions 266 JOURNALOF THE AMERICANMUSICOLOGICAL SOCIETY Jeromeof Moraviabegins his shorttwenty-sixth chapter with the formulation,"Now, however,we must dealwith plainchant,that is to say, accordingas it is subjoinedto discant,and indeedwith all species of said discant."This presentlyleads to his redactionof severaltreati- ses, of which the first and earliest is the premodalDiscantus positio vulgaris.I quotethe followingpassages from the olderportion of the tract: Now, a discantis a consonantcounterpart [to chant]. .... One must know what is mensurableand what beyond measurement;... Mensurableis that which is measuredwith the measure of one or more [two?] time units. Beyond measurementis what is measuredwith less than one time unit or morethan two. It must be noted, moreover,that all notes of the plain- chant are long and beyond measure,because they contain the quantityof threetime units. All notes of the discant,however, are measurableby means of the properbreve and the properlong. Hence, it follows that againstany given note of the cantusfirmus at least two notes-it goes without saying, a long and a shortor somethingequivalent to them, such as fourshorts or three with a short plica-must be presented;and furthermorethey [i.e., the notes of the plainchantand of the discant]must arrivetogether on any one of the said three consonances.2 Though a fundamentalnovelty, the precise mensurationof two notes, generally more and less consonant,respectively, as long and shortis still understoodby the authoras an attributeof a specialway of singingcantus ecclesiasticus. It seems reasonableto infer from his ex- clusive concern with measureddiscant, including its notation, and with consonance, that the stylistic conditions of organum had re- Zeitschriftfir Musikwissenschaft,VIII (1926), pp. 333 ff., and again in "Aus der alten Musiktheorie," Acta musicologica,XIV (1942), pp. 24-5. The entire treatise was pub- lished by Albert Seay, "An Anonymous Treatise from St. Martial," Annalesmusi- cologiques,V (1957), PP. 7-42. (There is no evidence for provenance from St. Martial.) My reading corresponds most closely to that given by Handschin in 1942. 2 Hieronymus de Moravia, Tractatusde musica, ed. Simon Cserba, Freiburger Studien zur Musikwissenschaft, II (Regensburg, 1935), pp. 189-91; Edmond de Coussemaker, ed., Scriptorumde musicamedii aevi novaseries, 4 vols. (Paris, 1864; rprt. Hildesheim, 1963), I, pp. 94-5. The entire treatise has been translated by Janet Knapp, "Two XIII-Century Treatises on Modal Rhythm and the Discant,"Journalof Music Theory,VI (1962), pp. 200 ff. As to the chronological layers of the treatise, see Fritz Reckow, und Acta XXXIX "Proprietas Perfectio," musicologica, (1967), p. i37, n. 81. The fact that parts of it must be recognized as inorganic later additions does not, however, justify the conclusion that its essential parts were written after Gar- landia's treatise (Reckow, Die Copula, Akademie der Wissenschaften und der Liter- atur, Abhandlungen der geistes- und sozialwissenschaftlichen Klasse, XIII (Mainz, 1972), P- 7, n. i). On the contrary, significant portions of it bear out Jerome of Mo- ravia's remark that est omnibus" "antiquior (Cserba, p. 194; Coussemaker, p. 97). This content downloaded from 159.149.103.9 on Sat, 6 Apr 2013 18:39:10 PM All use subject to JSTOR Terms and Conditions CONSONANCE AND RHYTHM IN ORGANUM 267 mained unchanged and were therefore in no need of comment. The question whether a style later designatedas copula alreadyexisted would with all due caution best be answered in the negative. My third and final witness is Johannes de Garlandia, whose trea- tise begins with the following
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