From Gregorian chant to Notre Dame polyphony: Western music, c. 600-1300

Intuition Beginner

Western art music begins in the medieval church, sung by monks as a single unaccompanied melody. This was Gregorian chant: no instruments, no harmony, no regular beat — just one line of text and music, sung in unison, rising and falling with the Latin words of the liturgy. The sound is austere, floating, and unfamiliar to modern ears used to chords and a steady pulse.

Over centuries, musicians began adding a second voice above the chant. At first the added voice simply tracked the chant in parallel, a fifth or fourth below. Then it became more independent, weaving its own line against the original. By around 1200, inside the new Cathedral of Notre Dame in Paris, composers were writing for three and four voices at once — music of unprecedented complexity.

The revolution was not only musical but technological. To coordinate four singers over twelve minutes on a single syllable, you need to write the music down. The medieval invention of staff notation (Guido d'Arezzo, around 1025) and then of rhythmic notation (the Notre Dame school, around 1200) made complex polyphony possible. Without those tools, neither Bach's fugues nor a modern symphony could exist.

Visual Beginner

The picture shows the seven-century transformation this unit traces. At the top, the eight medieval church modes — four authentic (Dorian, Phrygian, Lydian, Mixolydian) and four plagal (Hypodorian, Hypophrygian, Hypolydian, Hypomixolydian) — classify the entire Gregorian repertory of roughly three thousand melodies. Below them, the six Notre Dame rhythmic modes codify the recurring patterns of long and short notes that organise Perotin's polyphony.

Era	Date	Notation stage	What it could record
Gregory I	c. 600	(oral transmission)	chant melodies by memory only
Charlemagne	c. 800	(oral, with neumes emerging)	Frankish-Roman standardised repertory
Musica Enchiriadis	c. 870	dasian notation (pitch-approximate)	interval direction, basic organum
Guido d'Arezzo	c. 1025	four-line staff with clef	exact pitch, sight-singing via solmisation
Leonin / Perotin	c. 1170-1230	modal notation (ligatures)	2-, 3-, and 4-voice organum with rhythmic modes
Franco of Cologne	c. 1280	mensural notation	independent durational values per note
Philippe de Vitry	c. 1320	Ars Nova notation	duple meter, syncopation, subdivision

Worked example Beginner

Perotin's four-voice setting of Viderunt omnes, composed around 1198 for the Christmas Day liturgy at Notre Dame, is the earliest known four-voice composition. The bottom voice (the tenor, from the Latin tenere, "to hold") sings the first syllable of the word Viderunt — just "Vi-" — on a single held pitch, sustained for roughly three to four minutes while three upper voices sing elaborate melismas above it.

The chant on which the work is built is itself a Gradual for Christmas Day, originally a one-minute piece of unaccompanied monophony. By holding a single syllable of that chant across hundreds of measures of new polyphonic writing, Perotin stretches twelve minutes of music out of source material that takes under sixty seconds to sing in its original form.

Step 1. The tenor holds the foundational pitch — the lowest voice, derived directly from the pre-existing chant melody.

Step 2. The duplum (second voice) sings a long melisma above the tenor, with many notes on each vowel sound.

Step 3. The triplum (third voice) and quadruplum (fourth voice) add two more independent melodic lines, each moving through the six rhythmic modes that the Notre Dame school had recently codified.

Step 4. The four voices together produce a sound mass unlike anything in the earlier tradition: dense, slowly evolving, and requiring four trained singers to coordinate from a notated score.

What this tells us: the Viderunt omnes of c. 1198 is technically demanding by any standard, and it depends entirely on the recently-invented staff and rhythmic-mode notations to coordinate the four singers. Neither the music nor the technology to record it existed three centuries earlier.

Check your understanding Beginner

Formal definition Intermediate+

The Gregorian repertory is a corpus of roughly three thousand monophonic melodies that set the Latin texts of the Mass and the Office. Melodies are classified along three orthogonal axes.

Mode. Eight church modes — four authentic (Dorian, Phrygian, Lydian, Mixolydian, with finals on D, E, F, G) and four plagal (Hypodorian, Hypophrygian, Hypolydian, Hypomixolydian, sharing the finals but with a different range and reciting pitch). Each mode is defined by its final, its dominant (reciting pitch), and its ambitus (range). The eight-mode system is set out in its full form by Hucbald of Saint-Amand in De harmonica institutione (c. 880) and by the anonymous author of the Musica Enchiriadis a decade earlier.

Genre. Mass propers (Introit, Gradual, Alleluia, Offertory, Communion) and Office propers (Antiphon, Responsory, Hymn). Each genre carries a characteristic musical shape: Graduals and Alleluias are highly melismatic, with long runs of notes on single syllables; Antiphons are simpler and more syllabic.

Differentiation. Each melody is built from a small inventory of characteristic melodic formulae that vary by mode and genre, so that a trained singer can anticipate the shape of an unfamiliar melody from its opening notes.

Organum — the earliest polyphony — is the addition of one or more voices to a pre-existing chant. Four stages are distinguished in the historical literature:

1. Parallel organum (described in Musica Enchiriadis, c. 870): the added voice tracks the chant at a fixed interval, typically a fifth or fourth below.
2. Oblique organum (ninth century): one voice holds a single pitch while the other moves, producing a momentary drone.
3. Free organum (eleventh century, Saint-Martial de Limoges): the voices move in contrary motion and at varying intervals, with the added voice gaining independence.
4. Melismatic (florid) organum (twelfth century, Notre Dame): the tenor voice sustains long-held notes of the chant while the upper voice sings long melismas — many notes against the held tenor note. This is the texture of Leonin's Magnus Liber Organi.

The rhythmic modes — six patterns of long and short notes codified at Notre Dame around 1200 — are the first measured rhythmic system in Western music. The six modes, in the order given by Anonymous IV (c. 1280), are: (1) long-short (trochaic), (2) short-long (iambic), (3) short-short-long (dactylic), (4) long-long-short (anapaestic with initial extension), (5) long-long (spondaic), and (6) short-short-short (tribrachic). Mode was signalled not by individual note shapes but by the way notes were grouped into ligatures — single graphical units binding two or more pitches.

Mensural notation, codified by Franco of Cologne in Ars Cantus Mensurabilis (c. 1280), assigns fixed duration values to individual note shapes: the longa (typically three beats), the brevis (one beat), and the semibrevis (a third of a beat). The system is governed by modus, tempus, and prolatio — the rules for grouping smaller values inside larger ones, with a default triple subdivision that reflects the medieval association of threeness with the Trinity.

The Ars Nova treatise of Philippe de Vitry (c. 1320-1322) extends Franco's system to permit duple metre alongside triple, introduces syncopation as a notated device, and refines the semibreve into smaller minim values. The result is a notation capable, for the first time, of representing essentially any rhythmic texture the composer could imagine.

Counterexamples to common slips

• Slip: "Gregorian chant was written by Pope Gregory." The attribution is a medieval pious tradition. The repertory itself is a Frankish-Roman synthesis crystallised in the seventh and eighth centuries and standardised under Charlemagne by the Admonitio Generalis of 789, which mandated Roman chant across the Carolingian empire.

• Slip: "The medieval church banned polyphony as decadent." The opposite is closer to the truth: the liturgy of the great Gothic cathedrals demanded ever-more-elaborate musical settings, and the bishops of Paris actively supported the Notre Dame school's innovations.

• Slip: "Medieval music was simple and unsophisticated." Perotin's four-voice organa coordinate four independent lines over ten to twelve minutes of music on a single sustained syllable. By any technical standard — contrapuntal, notational, performative — this is demanding music.

• Slip: "Gregorian chant has a regular meter." It does not. The rhythm is text-driven and unmetered. Measured rhythm in Western music is a medieval invention, not a precondition of it.

• Slip: "Staff notation is a transparent record of the music." Even after Guido's staff, chant repertories show regional variants that the notation system could not eliminate; oral transmission shaped the repertory for centuries after notation became available.

Key theorem with argument Intermediate+

Theorem (Staff notation as the enabling technology). The emergence of Western polyphony from the ninth through the thirteenth century is conditional on the parallel development of pitch-precise and rhythm-precise notation. Without the staff (Guido d'Arezzo, c. 1025) and the rhythmic modes (Notre Dame, c. 1170-1230), polyphony beyond two voices in parallel motion cannot be reliably coordinated across performers separated in space and time.

Argument. Each stage of the notational chain solves a distinct coordination problem, and each unlocks a corresponding expansion of compositional possibility.

(1) Oral transmission (c. 600-800) suffices for a monophonic repertory of limited size; singers learn from older singers by imitation. Polyphony in this world is either improvised or composed in the moment, and cannot exceed what two singers can hold in shared memory.

(2) Neumatic notation (ninth century) records the contour of a melody — whether it goes up or down, by step or leap — but not its exact pitches. This suffices as a reminder for a singer who already knows the melody but cannot communicate one to a singer who does not.

(3) Diastematic notation (late ninth century, Musica Enchiriadis) places neumes at varying heights on the page to indicate approximate pitch. Combined with the dasian staff of numbered or lettered lines, this permits the writing of simple parallel organum but not the precise pitch coordination that more independent voices require.

(4) The Guidonian staff (c. 1025) fixes pitches exactly by combining a four-line staff with a clef that anchors the semitone. Guido's Micrologus describes the system and pairs it with solmisation — the ut-re-mi-fa-sol-la syllables — which allows a singer to sight-read an unfamiliar melody. With exact pitch recorded, two-voice free organum becomes reliably performable from a manuscript.

(5) Modal notation (Notre Dame, c. 1170-1230) adds rhythm to the staff's pitch record. By grouping notes into ligatures whose shapes encode one of six rhythmic modes, Leonin and Perotin can specify not only what pitches to sing but when to sing them, with the result that three- and four-voice organa can be coordinated to within a beat across performers who have never met.

(6) Mensural notation (Franco of Cologne, c. 1280) assigns a fixed duration to each individual note shape, replacing the ligature-as-mode convention with a system capable of writing any rhythm a composer can devise. This is the precondition for the fourteenth-century motet and the fourteenth-century mass cycle.

The historical limitation is sharp: the Gregorian repertory was standardised across the Carolingian empire by the Admonitio Generalis of 789, roughly two hundred and thirty years before Guido's staff made pitch exact, and three hundred and fifty years before mensural notation made rhythm exact. The chant existed for centuries as a sound before it could be written down with precision. Treitler's 1974 study of chant transmission ^{[Treitler1974]} shows that the early neumes are mnemonics for singers, not prescriptive scores; the repertory was carried by the voices of those who sang it long before notation caught up with practice.

The chain is irreversible in the practical sense that once a more expressive notation exists, composers exploit it at once. After Guido, free organum spreads across Aquitaine within a generation. After the Notre Dame modal system, the four-voice organum appears within thirty years. After Franco, the polyphonic motet proliferates within twenty. The notation does not cause the musical innovation — composers demonstrably heard more than they could write — but it does unlock its reliable transmission.

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Bridge. The notation-as-enabling-technology claim builds toward 34.02.02 pending, where the baroque basso continuo inherits the principle that a composer can specify some parameters in the score and delegate others to the performer; and the thesis appears again in 34.02.03 pending in the twentieth-century split between fully-notated serialism and indeterminate score-graphs. The foundational reason is that a notation system fixes a horizon of compositional possibility — this is exactly the central insight that links Guido's staff to Perotin's rhythmic modes and on to the modern score, identifying pitch precision with vertical coordination and rhythmic precision with horizontal coordination. Putting these together, the bridge is between the medieval cathedral and the modern concert hall: every subsequent Western art-music institution assumes the notational substrate whose first four centuries are sketched above.

Exercises Intermediate+

Developments and repertory Master

The seven-century arc from Gregory I to Machaut is built up from nine named developments, each with a date, a primary source, and a structural role in the emergence of Western polyphony.

Development 1 — The Gregorian attribution (traditional, c. 600). The medieval tradition, codified in the eighth-century Vita Gregorii by John the Deacon, credits Pope Gregory I (pope 590-604) with the codification of the Roman chant repertory. The dove iconography — Gregory writing at a desk while the Holy Spirit in the form of a dove dictates the melodies — reinforced the attribution visually for a millennium. The historic Gregory did reform Roman liturgy, but the specific attribution of the chant repertory to him is no longer accepted ^{[Treitler1974]}; the repertory took shape in the seventh and eighth centuries through a process of oral transmission and exchange between Roman and Frankish singers.

Development 2 — The Admonitio Generalis of Charlemagne (789). Charlemagne's capitulary of 789 mandated the standardisation of Roman liturgical practice across the Carolingian empire, including the chant repertory. The result was a Frankish-Roman synthesis in which the older Gallican chant traditions of the Frankish territories were displaced by what was presented as "Roman" chant but in fact was a repertory substantially reshaped in its transmission north of the Alps ^[Wright1989]. The political purpose was administrative uniformity across a vast empire; the musical consequence was the existence of a single, fixed repertory of some three thousand melodies that could be transmitted, taught, and eventually notated.

Development 3 — Musica Enchiriadis (c. 870-900). The anonymous Musica Enchiriadis and its companion Scolica Enchiriadis are the earliest treatises to describe organum systematically. The dasian notation used in the treatise records approximate pitch by placing signs at varying heights on a four-line field. The treatise describes parallel organum at the fifth or fourth below the chant, with occasional oblique motion at phrase boundaries. The repertory it describes is a discrete set of brief demonstration examples, not a cycle; but the conceptual move — that a second voice can be added above or below a chant to produce a new musical texture — is the foundation on which all subsequent Western polyphony builds.

Development 4 — Guido d'Arezzo, Micrologus (c. 1025-1030). Guido's Micrologus is the most influential music treatise of the Middle Ages. Its central innovations are the four-line staff with a clef anchoring the semitone, which records exact pitch; and the solmisation syllables ut-re-mi-fa-sol-la, derived from the hymn Ut queant laxis, which allow a singer to sight-read an unfamiliar melody by mapping its intervals onto a fixed vocal schema. Guido also describes the gamut — the full catalogue of pitches available in the medieval system, named by letter (A-G) and by hexachordal assignment (natural, soft with B-flat, or hard with B-natural). The combination of staff, clef, solmisation, and gamut is the notational substrate of all subsequent medieval polyphony.

Development 5 — Leonin, Magnus Liber Organi (c. 1170-1201). Leonin (Magister Leoninus, active c. 1150s-1201) is the principal composer of the Magnus Liber Organi, the "Great Book of Organum", a cycle of Graduals and Alleluias for the liturgical year at Notre Dame in two-voice organum. Anonymous IV (c. 1280) names Leonin as the compiler of the book and describes his style as the optima ("best") of organum for the liturgical cycle. Leonin's two-voice texture alternates organum purum (free, unmetered passages over long-held tenor notes) with discantus (measured passages in which both voices move in the rhythmic modes). The Magnus Liber is the first large-scale organised cycle of polyphonic music in the Western tradition.

Development 6 — Perotin, the revision of the Magnus Liber and the four-voice expansion (c. 1190s). Perotin (Magister Perotinus Magnus, active c. 1160-1230) revised Leonin's Magnus Liber, adding new compositions and substituting clausulae — measured sections that replace Leonin's free passages. Anonymous IV credits Perotin with the composition of organa in three and four voices, beyond Leonin's two. Perotin's four-voice settings — Viderunt omnes and Sederunt principes, both written around 1198 for the Christmas and Stephen's Day liturgies — are the earliest known four-voice compositions. They use the six rhythmic modes to coordinate the upper voices over extremely long-held tenor notes. Perotin's achievement is to have solved, in practice, the coordination problem that four-voice polyphony poses: the management of three independent upper lines against a sustained tenor, across twelve minutes of music.

Development 7 — Franco of Cologne, Ars Cantus Mensurabilis (c. 1260-1280). Franco's treatise replaces the modal ligature system with a notation in which individual note shapes carry fixed durations. The longa (three beats), brevis (one beat), and semibrevis (a third of a beat) are the three primary durational categories, organised by the rules of modus (how many breves make a longa), tempus (how many semibreves make a brevis), and prolatio (how many minims make a semibreve). The default is triple subdivision at each level, reflecting the medieval theological association of threeness with perfection. Franco's system is the foundation of Western mensural notation for the next three centuries; it permits the writing of any rhythm a composer can devise within the system's hierarchical frame.

Development 8 — Philippe de Vitry, Ars Nova (c. 1320-1322). Vitry's treatise (which survives in several variant redactions) extends Franco's system by permitting duple subdivision alongside triple, on the explicit grounds that "the new art" finds imperfection (twoness) no less musical than perfection (threeness). The innovations include duple metre (later called tempus imperfectum); syncopation, achieved by tying a note across a bar-line equivalent; and the minim — a duration value smaller than the semibreve, with its own note shape. The system that results is, in its fundamental outlines, the modern mensural system in which the duration values can be combined to represent essentially any rhythm.

Development 9 — Guillaume de Machaut, Messe de Nostre Dame (c. 1360s). Machaut's Messe de Nostre Dame is the earliest complete polyphonic setting of the mass ordinary (Kyrie, Gloria, Credo, Sanctus, Agnus Dei, and the dismissal Ite missa est) attributed to a single named composer. The work is unified by isorhythmic technique: the tenor voice is built from a repeating rhythmic pattern (talea) and a repeating melodic pattern (color), which together structure each movement over its full span. The mass was composed for performance at the Reims coronation liturgy, where Machaut served as a canon. It marks the point at which Western art music has a named individual composer, a unified polyphonic cycle, and a notational system capable of recording every parameter of the music; the medieval synthesis is complete.

Synthesis. The nine developments fit together as a chain in which each step both builds toward the next and appears again in every subsequent one. The foundational reason is that pitch and rhythm are independent axes of musical specification, and each must be notated separately for polyphony at scale to be possible: Guido's staff (Development 4) solves the pitch axis, the Notre Dame rhythmic modes (Developments 5 and 6) sketch the rhythmic axis, and Franco's mensural system (Development 7) completes it. The central insight is that the notation is the technology that identifies compositional ambition with performable coordination — without staff and mensural notation, the tenor of Perotin's Viderunt omnes cannot be sustained accurately across a four-voice ensemble, and without Vitry's Ars Nova, the isorhythm of Machaut's Messe de Nostre Dame cannot be recorded. Putting these together, the bridge is between the Carolingian decree (Development 2) and the Machaut mass (Development 9): a unified repertory requires a unified notation, and a unified notation permits a unified composer-attributed cycle. The pattern recurs throughout subsequent Western music history — baroque basso continuo, classical sonata form, the serialist score-graph — each of which is intelligible only as an exploitation of a notational technology whose first four centuries are the medieval period. This is exactly what is meant by the claim that Western art music is the music that notation made: the medieval developments are not a prolegomenon to "real" Western music but its enabling substrate.

Full argument set Master

Proposition (Dating of the Magnus Liber Organi). The compilation of the Magnus Liber Organi by Leonin, with revisions by Perotin, took place in the decades between approximately 1170 and 1230 at the Cathedral of Notre Dame in Paris.

Argument. The dating rests on three independent lines of evidence.

(1) External documentary evidence. Anonymous IV (an unnamed English music theorist writing c. 1280, so called because he is the fourth anonymous author in the manuscript cataloguer's order) names Leonin as "the best composer of organum" and credits him with the Magnus Liber containing organum for the liturgical year. Anonymous IV also names Perotin as the reviser of the Magnus Liber and the composer of three- and four-voice works. The Anonymous IV source itself dates from c. 1280, providing a terminus ante quem (limit before which the works must have been composed).

(2) Internal codicological evidence. The earliest surviving sources of the Magnus Liber repertory are the manuscripts Florence, Biblioteca Medicea Laurenziana, Pluteus 29.1 (F), and Wolfenbüttel, Herzog-August-Bibliothek, Helmstedt 628 (W1), both copied in the 1230s or 1240s. The repertory they transmit must therefore have been composed and organised into a cycle by the time of their copying — again giving a c. 1230 upper bound. Manuscript Wolfenbüttel 1099 (W2), copied slightly later, contains the four-voice works attributed to Perotin, including Viderunt omnes and Sederunt principes, in versions that show already some retransmission variation.

(3) Liturgical and architectural evidence. The new choir of the Cathedral of Notre Dame was consecrated in 1182, providing a date after which the liturgy for which the Magnus Liber was composed could take its fully developed form. The presence of the Magnus Liber's alleluias and graduals in the Notre-Dame customary (the Ordinale of c. 1200, preserved in later copies) ties the cycle to the late-twelfth-century liturgy of the cathedral itself. The magnificent acoustic of the new Gothic choir — with a reverberation time of several seconds — is itself part of the explanation for the extremely long-held tenor notes of Perotin's organa, which exploit the acoustic rather than fight it.

Putting the three lines of evidence together: Leonin compiled the original Magnus Liber roughly between 1170 and 1201 (the year of his death, as recorded in the necrology of Notre Dame); Perotin revised and expanded it roughly between 1190 and 1230. The four-voice works are concentrated in the years around 1198, the date inferred for the Christmas Day Viderunt omnes on the basis of its place in the liturgical year.

The dating is consistent across all three lines, but it is not a precise chronology. The works survive in manuscripts copied a generation or more after their composition, and we cannot date individual pieces within the Magnus Liber more closely than the 1170-1230 window without additional evidence.

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Proposition (Gregorian chant as Frankish-Roman synthesis). The repertory known as "Gregorian" chant is, in its earliest notated form (9th-10th c.), a Frankish-Roman synthesis crystallised under Carolingian standardisation, not a direct transmission of 6th-century Roman chant.

Argument. Four classes of evidence converge.

(1) Source evidence. The earliest notated chant manuscripts (St Gall 359, Laon 239, Chartres 47, etc.) date from the late 9th and 10th centuries — three hundred years after Gregory I. The chant repertory is transmitted orally across the eighth century, with the earliest neumes appearing only at the end of that century.

(2) Comparison with Old Roman chant. The Old Roman chant repertory, preserved in manuscripts from Rome itself (Biblioteca Apostolica Vaticana, Vat. lat. 5319, etc., copied in the 11th century but preserving an earlier tradition) is melodically related to Gregorian but differs in detail. The two traditions share modal assignment, genre, and overall melodic shape but differ in their specific melodic formulae. The simplest explanation is that they are two regional descendants of a common 8th-century repertory: one transmitted in Rome, one transmitted (and reshaped) in the Carolingian empire.

(3) Stylistic evidence. The Gregorian repertory shows features consistent with Frankish musical aesthetics — including a tendency toward clearer modal differentiation and more regular phrase structure — that are not equally present in Old Roman. This is the Hucke thesis, developed by Helmut Hucke in the 1950s and 1960s and elaborated by Leo Treitler ^{[Treitler1974]} in the 1970s and 1980s.

(4) Transmission-theoretical evidence. Treitler's 1974 study applied the models of oral-formulaic composition developed for Homeric epic by Milman Parry and Albert Lord to the Gregorian repertory. Under those models, a repertory transmitted orally across generations is reconstructed, not memorised, in each performance; the variants across early sources are exactly what the oral-formulaic model predicts. The "Gregorian" repertory is therefore not a fixed text by a fixed author but a stabilised formulaic tradition, fixed by Carolingian standardisation but not by Gregory's personal authorship.

The four lines converge on the same conclusion: "Gregorian" chant is the Frankish-Roman repertory that emerged from the Carolingian standardisation of the late 8th and 9th centuries.

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Connections Master

• Music history: Western and world traditions 34.02.01. This unit is the depth specialisation of the medieval section of the music-history survey 34.02.01, which treats Gregorian chant and Notre Dame polyphony in a few paragraphs of an overview spanning two millennia and the entire globe. The survey provides the framing periodisation (Medieval, Renaissance, Baroque, Classical, Romantic, twentieth century) and the comparative context (parallel developments in Indian classical, Chinese, West African, and Arabic musical traditions) into which the detailed study of medieval Western music in 34.02.04 fits. Builds toward the depth treatment of baroque, classical, and romantic music in 34.02.02 pending and of twentieth-century music in 34.02.03 pending, both of which assume the notational substrate traced here.

• Music fundamentals: rhythm, melody, and harmony 34.01.01. The eight medieval church modes are the immediate pre-tonal modal system that the modern major and minor scales of 34.01.01 partially inherit and partially displace. The Notre Dame rhythmic modes are the first measured rhythmic system in Western music, predating the time signatures of modern notation by some eight centuries. Reading 34.01.01 first provides the modern pitch and rhythm vocabulary that this unit historicises; conversely, this unit provides the historical depth that the modern vocabulary alone cannot supply. The foundational reason is that the modern system is a sedimentation of late-medieval and renaissance decisions about pitch and rhythm that this unit traces back to their origins.

• Theater and drama — structure, history, and craft 34.09.01. The medieval liturgical drama — the Quem quaeritis Easter trope, the Play of Daniel, the Play of Herod — is a direct outgrowth of the Gregorian chant tradition: the earliest medieval drama consists of trope-text extensions of chant melodies, sung in the liturgy before the rise of the vernacular mystery plays. The shared institutional context (the cathedral, the monastic choir, the liturgical calendar) connects the musical developments traced in this unit to the dramatic developments traced in 34.09.01. The liturgical-dramatic tradition that runs from the Quem quaeritis through Hildegard of Bingen's Ordo Virtutum to the vernacular mystery plays is intelligible only against the chant-polyphony background provided here.

• Medieval Europe and the Crusades 32.11.01. The Carolingian standardisation of chant under the Admonitio Generalis of 789, the construction of the Gothic cathedrals (Notre Dame of Paris consecrated 1182), the rise of the universities (Paris in the late 12th century), and the cultural networks linking Paris, Limoges (Saint-Martial), Santiago de Compostela, and Sicily are the historical infrastructure on which Gregorian chant, early organum, and Notre Dame polyphony develop. The same Carolingian imperial administration that standardised the chant repertory also produced the manuscript culture that transmitted it; the same Gothic cathedral-building boom that built Notre Dame also created the institutional setting for Leonin's and Perotin's work. The Gregorian-attribution question is itself inseparable from the broader historiography of the Carolingian renaissance discussed in 32.11.01.

Historical & philosophical context Master

The seven-century development traced in this unit — from the traditional Gregory I attribution to the Machaut mass — is the historical foundation of all subsequent Western art music, in the precise sense that every later Western score assumes the notational substrate whose construction this period accomplishes. The named originator chain begins with the Carolingian standardisation of chant under Charlemagne, recorded in the Admonitio Generalis of 789 and reconstructed in the chant-orality scholarship of Leo Treitler, whose "Homer and Gregory: The Transmission of Epic Poetry and Plainchant" (Musical Quarterly 60, 1974, pp. 333-372) ^{[Treitler1974]} transferred the Parry-Lord oral-formulaic model from Homeric epic to the early chant repertory. The definitive codification of the Notre Dame school itself, including the ascription of the Magnus Liber Organi to Leonin and the four-voice works to Perotin, is due to Craig Wright in Music and Ceremony at Notre Dame of Paris, 500-1550 (Cambridge University Press, 1989) ^[Wright1989], which establishes the documentary, liturgical, and architectural context for the Notre Dame repertory on the basis of primary archival research.

The notational transformations have their own primary-source lineage. The anonymous Musica Enchiriadis (c. 870) is edited and translated by Raymond Erickson (Yale University Press, 1995), and is the earliest systematic treatise on organum. Guido d'Arezzo's Micrologus (c. 1026), which introduces the staff, the clef, and solmisation, is the most influential music treatise of the Middle Ages; the critical edition and translation by Warren Babb, with introduction by Claude Palisca (Yale University Press, 1978), is the standard modern reference. Franco of Cologne's Ars Cantus Mensurabilis (c. 1260-1280) is edited in the Corpus Scriptorum de Musica series; it is the foundation of Western mensural notation. Philippe de Vitry's Ars Nova (c. 1320-1322) survives in multiple redactions, edited by Gilbert Reaney, André Gilles, and Jean Maillard (American Institute of Musicology, 1956-1964); the system it describes is the immediate notational framework of Machaut's Messe de Nostre Dame. Guillaume de Machaut's mass itself is preserved in the manuscript Paris, Bibliothèque nationale, F-Pn 1586, and is edited by Leo Schrade in Polyphonic Music of the Fourteenth Century, volume 2 (Monaco, 1956).

Bibliography Master

Primary sources (treatises and musical works)

• Musica Enchiriadis and Scolica Enchiriadis (c. 870-900). Translated by Raymond Erickson. Musica Enchiriadis and Scolica Enchiriadis. New Haven: Yale University Press, 1995.

• Guido d'Arezzo. Micrologus (c. 1026). Translated by Dolores Pesce. The Micrologus. Ottawa: Institute of Mediaeval Music, 1999. Also: translation by Warren Babb, with introduction by Claude V. Palisca, Hucbald, Guido, and John on Music: Three Treatises in English Translation. New Haven: Yale University Press, 1978.

• Franco of Cologne. Ars Cantus Mensurabilis (c. 1260-1280). Translated by Oliver Strunk. In Source Readings in Music History, revised edition, edited by Leo Treitler, pp. 226-243. New York: Norton, 1998.

• Anonymous IV (c. 1280). Translated by Oliver Strunk. In Source Readings in Music History, revised edition, edited by Leo Treitler, pp. 258-272. New York: Norton, 1998.

• Philippe de Vitry. Ars Nova (c. 1320-1322). Edited by Gilbert Reaney, André Gilles, and Jean Maillard. Philippi de Vitriaco Ars Nova. Musicological Studies and Documents 17. American Institute of Musicology, 1964.

• Guillaume de Machaut. Messe de Nostre Dame (c. 1360). Edited by Leo Schrade. Polyphonic Music of the Fourteenth Century, vol. 2. Monaco: Éditions de l'Oiseau-Lyre, 1956.

• Leonin and Perotin. Magnus Liber Organi. Edited by Edward H. Roesner. Le Magnus Liber Organi de Notre-Dame de Paris, 7 vols. Monaco: Éditions de l'Oiseau-Lyre, 1993-2009.

Secondary scholarship

• Treitler, Leo. "Homer and Gregory: The Transmission of Epic Poetry and Plainchant." The Musical Quarterly 60, no. 3 (1974): 333-372.

• Treitler, Leo. "The Early History of Music Writing in the West." Journal of the American Musicological Society 35, no. 2 (1982): 237-279.

• Wright, Craig. Music and Ceremony at Notre Dame of Paris, 500-1550. Cambridge: Cambridge University Press, 1989.

• Hoppin, Richard H. Medieval Music. New York: W. W. Norton, 1978.

• Hughes, Andrew, and Gerald Abraham, eds. The New Oxford History of Music, vol. 2: The Early Middle Ages to 1300. 2nd ed. Oxford: Oxford University Press, 1990.

• Page, Christopher. The Owl and the Nightingale: Musical Life and Ideas in France, 1100-1300. London: Dent, 1989.

• Yudkin, Jeremy. Music in Medieval Europe. Prentice-Hall History of Music Series. Englewood Cliffs, NJ: Prentice-Hall, 1989.

• Hucke, Helmut. "Toward a New Historical View of Gregorian Chant." Journal of the American Musicological Society 33, no. 3 (1980): 437-467.

• Burkholder, J. Peter, Donald Jay Grout, and Claude V. Palisca. A History of Western Music. 9th ed. New York: W. W. Norton, 2014. Esp. ch. 2-3.

• McKinnon, James, ed. Antiquity and the Middle Ages: From Ancient Greece to the 15th Century. Englewood Cliffs, NJ: Prentice-Hall, 1990.