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 MOTET Musicians at Nôtre-Dame created this new genre in the early thirteenth century 

14th Century Polyphony

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MOTET

 Musicians at Nôtre-Dame created this

new genre in the

early thirteenth century

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MOTET

 Motets originally consisted of newly written Latin words

added to the upper voices of discant clausulae.The earliest texts were often a textual trope of the clausula.

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MOTET

 

The French word for “word” MOT

inspired the name for the genre.

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MOTET

 The Thirteenth-Century Motet is a

polyphonic works withone or more texted voices added to a pre-existing tenor,

which is set in a modal rhythm.

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MOTET

 

Motets are identified by a

compound title

comprising the first words of each voice fromhighest to lowest.

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MOTET

 

Motets are identified by a

compound title

comprising the first words of each voice fromhighest to lowest.

Factume est salutare / Dominus

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MOTET 

The motet became the leading polyphonic

genre for both

sacred and secular music.

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MOTET

 

The Early Motet (to ca. 1250)

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MOTET 

Based on the discant clausula

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MOTET 

Based on the discant clausulaThe new text tropes the original chant text

Phrasing of original clausulashapes phrases of added text

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MOTET

Sung during the Mass or as independent entertainment

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MOTET

Factum est salutare / Dominus

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MOTET 

These existing motets were reworked 

New texts added to duplum in Latin or French

no longer linked to liturgical context

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MOTET 

These existing motets were reworked 

New texts added to duplum in Latin or French

no longer linked to liturgical context

Other voices (triplum) added

with texts of their own

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MOTET

 Early Motets (to ca. 1250)

 Double Motet: a motet with two addedtexts above the tenor(Double motet = three voices)

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MOTET

 Early Motets (to ca. 1250)

  Triple motet: a motet with three addedtexts above the tenor (Triple motet = four voices)

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MOTET

   The “Additive” Motet

Original duplum discarded andanother one (or more) composed.

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MOTET

  “Original” Motets composed “from scratch”

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MOTET

  “Original” Motets composed “from scratch”

Chant tenor from clausula set in modal rhythm

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MOTET

  “Original” Motets composed “from scratch”

Chant tenor from clausula set in modal rhythmDuplum / Triplum added above tenor

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MOTET

on “Dominus” of 

“Viderunt omnes” 

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MOTET

 

melisma

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MOTET

 “Factum est salutare / Dominus”

∨“Fole acostumance / Dominus”

same tenor (2x)

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MOTET

 “Factum est salutare / Dominus”

∨“Fole acostumance / Dominus”

same tenor (2x)

new duplum…

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MOTET

 “Factum est salutare / Dominus”

∨“Fole acostumance / Dominus”

same tenor (2x)

new duplum…with secular text...

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MOTET

 “Factum est salutare / Dominus”

∨“Fole acostumance / Dominus”

same tenor (2x)

new duplum…with secular text...in French

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MOTET

 “Super te / Sed fulsit / Dominus”Tenor “Dominus” (first half 2x)

Duplum / Triplum with texts from Latin poem

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MOTET

 “Super te / Sed fulsit / Primus Tenor / Dominus”

based on“Super te / Sed fulsit / Dominus”

 

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MOTET

 “Super te / Sed fulsit / Primus Tenor / Dominus”

based on“Super te / Sed fulsit / Dominus”

 with added untexted “primus tenor”

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MOTET

 Motets in later thirteenth century

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MOTET

 Motets in later thirteenth centuryBy 1250 three voices are typical

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MOTET

 Motets in later thirteenth centuryBy 1250 three voices are typicalUpper voices with texts in Latin

or French, or French & Latin 

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MOTET

 By 1270 the tenor is now called the

CANTUS FIRMUS 

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MOTET

 By 1270 the TENOR is now called the

CANTUS FIRMUS=

A pre-existing melody 

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MOTET

 By 1270 the TENOR is now called the

CANTUS FIRMUS=A pre-existing melody

  Melody predominantly CHANT

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FRANCONIAN NOTATION 

Franco of Cologne Ars Cantus Mensurabilis (c. 1280)Innovations in notating RHYTHM

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FRANCONIAN NOTATION 

Noteshape signifies relative duration

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FRANCONIAN NOTATION 

Noteshapes are:

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FRANCONIAN NOTATION 

Noteshapes are:

+ Double long

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FRANCONIAN NOTATION 

The tempus (pl. tempora) is the basic unit

Long = 2 or 3 tempora Breve = 2 or 3 tempora

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FRANCONIAN NOTATION 

The tempus (pl. tempora) is the basic unit

Long = 2 or 3 tempora Breve = 2 or 3 temporaFranconian system included signs for rests

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FRANCONIAN NOTATION 

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FRANCONIAN NOTATION 

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FRANCONIAN NOTATION 

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FRANCONIAN NOTATION 

With Franconian notationscore notation not needed

voices written in parts rather than score format

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FRANCONIAN NOTATION 

DUPLUM

TRIPLUM

TENOR

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FRANCONIAN MOTETS 

Motets written in Franconian Notation

Written in style made possible by Franconian Notation

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FRANCONIAN MOTETS 

Motets written in Franconian Notation

Written in style made possible by Franconian NotationEach voice has distinctive rhythm

Rhythm no longer shaped by Modal Rhythm

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FRANCONIAN MOTETS 

Adam DE LA HALLE

(c. 1240-1288?)

 De ma dame vient / Dieus comment porroie / 

Omnes

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FRANCONIAN MOTETS 

Tenor “Omnes” > Gradual Viderunt Omnes

(4) x 3

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FRANCONIAN MOTETS 

Tenor “Omnes” > Gradual Viderunt Omnes

(4) x 3Duplum (Motetus) > Dieux, comment porroie

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FRANCONIAN MOTETS 

Tenor “Omnes” > Gradual Viderunt Omnes

(4) x 3Duplum (Motetus) > Dieux, comment porroie

Triplum > newly composedwith quotes from songs

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FRANCONIAN MOTETS 

Each voice has its own paceDuplum = woman’s point of view

Triplum = man’s point of viewParts are independent

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FRANCONIAN MOTETS 

Harmony allows thirds and other dissonances

P 4 now being treated like a dissonanceCadences still demand “perfect” consonances

Cadence patterns developing

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ROTA

 English culture was tied to that of France after

the Norman Conquest in 1066

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ROTA

 English culture was tied to that of France after

the Norman Conquest in 1066 Although they adopted French culture,

English musicians created a distinct musical style

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ROTA

Prominent “imperfect consonances”  Improvised partsinging in close harmony

documented as early as 1200

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ROTA

Prominent “imperfect consonances”  Improvised partsinging in close harmony

documented as early as 1200Emphasis on

harmonic thirds and triads

including the final sonority

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ROTA

  Voice-exchange evolved into elaborate

techniques 

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ROTA

  Voice-exchange evolved into elaborate

techniquesThe RONDELLIUS

two or three phrases are heard simultaneously,

with each voicesinging each one in turn

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ROTA

Rondellus

Triplum: a b cDuplum: c a b

Tenor: b c a

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ROTA

A ROTA is a perpetual canon

or round at the unison

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ROTA

Sumer is icumen in 

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ROTA

Sumer is icumen in 

Two voices sing a voice-exchange pes (Latin for “foot” or “ground”).

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ROTA

Sumer is icumen in 

Two voices sing a voice-exchange pes (Latin for “foot” or “ground”).Four upper voices in canon

producing alternating triadic sonorities of F–A–C and G–B-flat–D

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POLYPHONY

  By 1300, “composition” meant creating

polyphony, not monophony.

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POLYPHONY

  Writing down music of multiple parts in coordinating vertical sonorities to create a

sense of direction that would be a hallmark of Western tradition and set it apart from almost all other

musical traditions.

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FOURTEENTH CENTURY

Difficult conditions in Europe

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FOURTEENTH CENTURY

Difficult conditions in Europe

“Mini Ice Age”Floods

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FOURTEENTH CENTURY

Difficult conditions in Europe

“Mini Ice Age”Floods

The BLACK DEATH

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FOURTEENTH CENTURY

Difficult conditions in Europe

“Mini Ice Age”Floods

The BLACK DEATH

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FOURTEENTH CENTURY

BUBONIC PLAGUE

killed one third of the Europe’s population1347-1350

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FOURTEENTH CENTURY

BUBONIC PLAGUE

killed one third of the Europe’s population1347-1350

Victims died within daysSurvivors fled urban areas

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FOURTEENTH CENTURY

GREAT SCHISM

1378-1417 King Philip IV of France

French Pope in Avignon Corrupt clergy bureaucracy

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FOURTEENTH CENTURY

SCIENCE & SECULARISM

William of Ockham (c.1285-1349)Knowledge from experience and the senses

Eyeglasses, Mechanical clocks, Magnetic compass

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FOURTEENTH CENTURY

compassWilliam of Ockham

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FOURTEENTH CENTURY

VISUAL ARTS

The Florentine painter GIOTTO achieved morenaturalistic representation

and a sense of depth and symmetryPERSPECTIVE

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FOURTEENTH CENTURY

VISUAL ARTS

Giotto, Arena Chapel, Padua

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FOURTEENTH CENTURY

LITERATUREIncreased literacy led to

more literature in the vernacular. Dante Alighieri and Giovanni Boccacio in Italian

Geoffrey Chaucer in English

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FOURTEENTH CENTURY

MUSICIncreased attention to secular song,

though much sacred music continuedto be composed.

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FOURTEENTH CENTURY

 ROMAN de FAUVEL

F latterie (Flattery) Avarice (Greed)

V illanie (Villany)

V ariété (Fickleness)

 E nvie (Envy) Lâcheté (Cowardice)

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FOURTEENTH CENTURY

 ROMAN de FAUVEL

F latterie (Flattery) Avarice (Greed)

V illanie (Villany)

V ariété (Fickleness)

 E nvie (Envy) Lâcheté (Cowardice)

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 ROMAN de FAUVEL

F latterie (Flattery)

 Avarice (Greed)

V illanie (Villany)

V ariété (Fickleness)

 E nvie (Envy)

 Lâcheté (Cowardice)Fond Français 146, Paris, Bibliothèque Nationale

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ARS NOVA

Philippe de Vitry (1291-1361)

 Ars Nova (c. 1320)“This completes the ars nova of Magister

Philippe de Vitry”

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ARS NOVA

Philippe de Vitry (1291-1361)

 Ars Nova (c. 1320)“This completes the ars nova of Magister

Philippe de Vitry”Vitry compositions among the 169 pieces of 

music in Fauvel

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ARS NOVA

MENSURATION SIGNS

MODE = Division of the LongTIME = Division of the Breve PROLATION= Division of the Semibreve

  Major / Minor

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ARS NOVA

Shifting emphasis to duple meters was criticized

by Jacque de Liège

“Perfection is brought low, and imperfection

exalted.”

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ISORHYTHM

Motets of Philippe de Vitry some of the earliest

uses of ISORHYTHM

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ISORHYTHM

Motets of Philippe de Vitry some of the earliest

uses of ISORHYTHM

Rhythmic structure of the tenor of motet

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ISORHYTHM

TALEA

“cuttings” (pl. taleae) Rhythmic pattern

COLOR“color” (pl. colores)

The melodic notes of the tenor

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ISORHYTHM

TALEA

“cuttings” (pl. taleae) Rhythmic pattern

The tenor is laid out in segments of identical

rhythm.

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ISORHYTHM

TALEA

“cuttings” (pl. taleae) Rhythmic pattern

Taleae in tenors in 1200s = short patterns Taleae in tenors in 1300s = longer patterns

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ISORHYTHM

TALEA

“cuttings” (pl. taleae) Rhythmic pattern

The slow pace of the tenor makes it less a

melody and more of a foundational structure.

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ISORHYTHM COLOR

“color” (pl. colores)

The melodic notes of the tenor

The color and may repeat,

but not necessarily with the rhythm.

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ISORHYTHM

 “In arboris / Tuba sacre fidei / Virgo sum”

attributed to Vitry

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ISORHYTHM

 “In arboris / Tuba sacre fidei / Virgo sum”

attributed to Vitry

Tenor refers to the Virgin MaryDuplum ( Motetus) and Triplum refer to Mary

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ISORHYTHM

 “In arboris / Tuba sacre fidei / Virgo sum”

attributed to VitryThe tenor includes

two statements of the color 6 repetitions of the talea

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ISORHYTHM

“In arboris / Tuba sacre fidei / Virgo sum”

attributed to Vitry Coloration indicates changes from duple to triple

 Introitus

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HOCKET

 “Hiccup”

Two voices alternating in rapid succession, each resting while the other sings

The device was developed in the thirteenthcentury

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ARS NOVA HARMONIC PRACTICES

Greater prominence of imperfect consonancesCadences required perfect consonances,but their resolution could be sustained

Parallel octaves and fifths continued to be used

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GUILLAUME de MACHAUT

(c. 1300-1377)

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GUILLAUME de MACHAUT

(c. 1300-1377)The leading composer of the French Ars Nova

Born in northeastern France, middle-class family

Educated as a cleric and took Holy Orders

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GUILLAUME de MACHAUT

(c. 1300-1377)1323–1340, worked as secretary for John

of Luxembourg, King of Bohemia,

Resided in Reims after 1340Royal patrons supported him, including the

kings of Navarre and France

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GUILLAUME de MACHAUT

(c. 1300-1377)First composer to compile his complete works

and to discuss his working method

He wrote his poems first, then the music

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GUILLAUME de MACHAUT

(c. 1300-1377)First composer to compile his complete works

and to discuss his working method

He wrote his poems first, then the musicLiked music “sweet and pleasing”

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GUILLAUME de MACHAUT

(c. 1300-1377)He paid for the preparation of several

illuminated manuscripts of his works

He composed many major musical works andnumerous narrative poems

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GUILLAUME de MACHAUT

(c. 1300-1377)23 motets, most from early in his career

20 are isorhythmic, 3 which usesecular songs as tenors.Often include hockets

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GUILLAUME de MACHAUT

(c. 1300-1377) Messe de Nostre Dame

“Mass of Our Lady”

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GUILLAUME de MACHAUT

(c. 1300-1377)Probably the earliest polyphonic setting of the

Mass Ordinary to be composed by a single

composer and conceived as a unitKyrie, Gloria, Credo, Santus, Agnus Dei

&

Ite missa est

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GUILLAUME de MACHAUT

(c. 1300-1377)In the fourteenth century, anonymous

composers in France, England, and Italyset individual movements polyphonically.A few mass “cycles” were assembled from

individual movements

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GUILLAUME de MACHAUT

(c. 1300-1377)Composed for the cathedral in Reims

Performed at a Mass for the Virgin Marycelebrated every Saturday

After Machaut’s death, an oration for

Machaut’s soul was added to the service,and performed until fifteenth century

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GUILLAUME de MACHAUT

(c. 1300-1377) UNIFYING DEVICES

Recurring motivesTonal focus on D in the first three

movements and on F in the last three

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GUILLAUME de MACHAUT

(c. 1300-1377) UNIFYING DEVICES

All six movements are for four voices, including a contratenor (“against the tenor”)

that moves in the same range as the tenor.

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GUILLAUME de MACHAUT

(c. 1300-1377) UNIFYING DEVICES

Kyrie, Sanctus, Agnus Dei, and Ite, missa est are isorhythmic.

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GUILLAUME de MACHAUT

(c. 1300-1377) KYRIE

Chant Kyrie Cunctipotens Genitor

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GUILLAUME de MACHAUT

(c. 1300-1377) KYRIE

TENOR: 28 notes of chant, 4-note talea x 7

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GUILLAUME de MACHAUT

(c. 1300-1377) KYRIE

TENOR: 28 notes of chant, 4-note talea x 7 Contratenor also isorhythmic

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GUILLAUME de MACHAUT

(c. 1300-1377) KYRIE

TENOR: 28 notes of chant, 4-note talea x 7 Contratenor also isorhythmic

Upper voices partially isorhythmic

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GUILLAUME de MACHAUT

(c. 1300-1377) Kyrie I:  Polyphony, Chant, Polyphony

Christe: Chant, Polyphony, ChantKyrie II: Polyphony, Chant

Kyrie III: Polyphony

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GUILLAUME de MACHAUT

(c. 1300-1377)Polyphonic songs (chansons, “songs”)

in the formes fixes

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GUILLAUME de MACHAUT

(c. 1300-1377)“Treble-dominated” songs major

innovation of the Ars Nova

The treble or cantus carries the text

Slower untexted tenor supports the cantus.A contratenor may be added,

 Triplum in same range as cantus

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GUILLAUME de MACHAUT

(c. 1300-1377)  RONDEAUX 

Two musical phrases ( A and B) Text includes a “refrain” (AB)

Form: ABaAabAB

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GUILLAUME de MACHAUT

(c. 1300-1377)  RONDEAUX 

“Rose, liz, printemps, verdure”

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A Rose, liz, printemps, verdure,Fleur, baume et tres douce odour, B Bele, passés en douçour, a Et tous les biens de Nature, Avez dont je vous aour.

A Rose, liz, printemps, verdure,Fleur, baume et tres douce oudour.

a Et quant toute creature Seurmonte vostre valour,

b Bien puis dire et par honnour: A Rose, liz, printemps, verdure,

Fleur, baume et tres douce oudour,B Bele, passés en douçour.

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ARS NOVA … ARS SUBTILIORComposers at the court of the Avignon pope

across southern France and northern Italy cultivated complex secular music.

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ARS NOVA … ARS SUBTILIOR

  ARS SUBTILIOR a continuation of Ars Nova

in

secular polyphonic songs in the formes fixesand

developing the complexities of Ars Nova notation

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ARS NOVA … ARS SUBTILIOR

Love songs intended for an elite audience

 Pieces notated in fanciful shapes

Rhythmically complex

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“Belle, bonne, sage”Baude Cordier

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“Tout par compas”Baude Cordier

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Performing Fourteenth-Century Music

There was no uniform way to perform

polyphonic music.Pictorial and literary sources indicate vocal,

instrumental, and mixed groups.All vocal performance was most common.

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INSTRUMENTS

Instruments separated into 2 categories:

HAUT and BAS

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INSTRUMENTS

  HAUT (“high”) instruments were loud,

for outdoors and dancing. Cornetts TrumpetsShawmsSackbuts

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INSTRUMENTS

  BAS (“low”) instruments were soft in volume

and were played indoors Stringed instruments: harps, lutes, and vielles

Portative organsTransverse Flutes

Recorders

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INSTRUMENTS

  Percussion instruments were common in all

kinds of ensembles

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“FALSE MUSIC”

  MUSICA FICTA, or Chromatic Alterations

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“FALSE MUSIC”

Raising or lowering a note by a half-step

to avoid the tritonePitches altered to make a smoother melodic line,

especially at cadences.

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“FALSE MUSIC”

Raising or lowering a note by a half-step

to avoid the tritonePitches altered to make a smoother melodic line,

especially at cadences.The resulting pitches lay “outside the gamut” andwere thus “false”, or ficta

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“FALSE MUSIC”

Raising or lowering a note by a half-step

to avoid the tritonePitches altered to make a smoother melodic line.The resulting pitches lay “outside the gamut” and

were thus “false” or ficta

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“FALSE MUSIC”

Medieval singers were trained to recognize

situations in which a ficta were needed,so accidentals were rarely notated.

(Modern editions ficta accidentals above the staff,

to indicate editorial intervention)

WHITE NOTATION

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WHITE NOTATIONWhite Notation uses a five-line staff,

and three clefs—G, C, and F. Usually the only accidental notated as a ‘key’

signature is B-flat, though later composers

experimented with more

WHITE NOTATION

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MEASURES AND BARLINES

There are no barlines or measuresBut the length of the breve usually acted as a time unit

analogous to the modern concept of a measure

WHITE NOTATION

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WHITE NOTATIONNOTE VALUES and RESTS

WHITE NOTATION

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WHITE NOTATIONMENSURATION

Mensuration deals with the

division of the Breve (called Tempus or “time”) and the Semibreve (Prolationis Species or

“prolation”) 

WHITE NOTATION

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WHITE NOTATIONMENSURATION

Breve divisions (Tempus) are either

“perfect” (division into 3s) or “imperfect (divisioninto 2s).

Semibreve divisions (Prolation) are either

“major” (3) or “minor” (2)

 

WHITE NOTATION

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WHITE NOTATIONMENSURATION

A line through the mensuation symbol indicates

that all note values are cut in half (alla breve).

WHITE NOTATION

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WHITE NOTATIONCOLORATION

The value of a note in a mensuration can be

changed by coloring in the white space of breve,

semibreve, or minim and by dotting. In determining a note’s value, coloring is

calculated before dotting.

WHITE NOTATION

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In Perfect Time

—where a breve has the value of 3 semibreves—

coloring a breve will subtract a 1/3 or its value

and imperfects its value and makes a breve equalto 2 semibreves (a duplet)

WHITE NOTATION

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In Imperfect Time

—where a breve has the value of 2 semibreves—

coloring 3 consecutive semibreves creates a triplet

and perfects their value, momentarily making 3semibreves equal the value of 1 breve

WHITE NOTATION

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Josquin uses coloration for all the notes in his

lament on the death of Ockeghem, Nymphes des Bois

to create “eye music”where the blackened notes indicate mourning.

WHITE NOTATION

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Josquin uses coloration for all the notes in his

lament on the death of Ockeghem, Nymphes des Bois

to create “eye music”where the blackened notes indicate mourning. In doing so, Josquin limits himself to longs,

breves, semibreves, and minims, since semiminimand fusa values are already “black

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WHITE NOTATION

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WHITE NOTATIONLIGATURES

White Notation is complicated by several factors,

one of them being the continued use of theLIGATURES (multiple-note units)

and the conventions associated with their use

carried over from neumes.

WHITE NOTATION

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WHITE NOTATION“BREVE” ligatures

At the tempus level, each two-note ligatures has

the value of a breve followed by a long (indicated

by the downward tail).

WHITE NOTATION

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WHITE NOTATION“BREVE” ligatures

WHITE NOTATION

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WHITE NOTATION“BREVE” ligatures

WHITE NOTATION

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WHITE NOTATION“SEMIBREVE” ligatures

The two-note ligatures that begin with an upward tail are semibreves,

and each two-note pes or clivis has the value of 

two semibreves,both the square or oblique forms.

WHITE NOTATION

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WHITE NOTATION“SEMIBREVE” ligatures

WHITE NOTATION

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WHITE NOTATION

CANONS 

WHITE NOTATION

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WHITE NOTATIONIn his

 Missa ‘L’homme armè’

Dufay writes “Cancer eat plenus et redeat medius”

(Let the crab proceed full, and let it return by half )

in the tenor part of the third section of the

“Agnus Dei.”

WHITE NOTATION

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WHITE NOTATION

WHITE NOTATION

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WHITE NOTATION

This indicates that the singers perform this part retrograde

(crabs where thought of as walking “backwards”)with full rhythmic value,and then forward (or “returning” for the crab)

with the notes at half value.

WHITE NOTATION

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WHITE NOTATION

Dufay composes his motet “Nuper rosarum flores”

as an isorhythmic motet, built on two tenors

WHITE NOTATION

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WHITE NOTATION

Dufay composes his motet “Nuper rosarum flores”

as an isorhythmic motet, built on two tenors

WHITE NOTATION

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WHITE NOTATIONDufay notates each tenor part with

four mensuration signs and a repeat, indicating that each performer plays their tenor

line four times, each time with a differentmensuration

WHITE NOTATION

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Dufay notates each tenor part with

four mensuration signs and a repeat, indicating that each performer plays their tenor

line four times, each time with a differentmensuration

WHITE NOTATION

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The numerical value of the breve changes from

6 : 4 : 2 : 3

WHITE NOTATION

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The numerical value of the breve changes from

6 : 4 : 2 : 3

WHY?

WHITE NOTATION

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Dufay wrote this motet for the consecration of the

Duomo in Florence.

WHITE NOTATION

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WHITE NOTATION

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Filippo Brunelleschi

(1377-1446)S. Maria del Fiore, begun 1296

Dome (1420-1436)consecrated by Pope Eugenius IV on

March 25, 1436

WHITE NOTATION

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WHITE NOTATION

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WHITE NOTATION

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WHITE NOTATION

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The numbers refer to the dimensions of 

Solomon’s temple described in the Third Book of 

Kings, 6:1-20(reduced to their lowest common denominators).

WHITE NOTATION

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2 And the house, which king Solomon built to the

Lord, was threescore (60) cubits in length, and

twenty cubits in breadth, and thirty cubits in

height…16 And he built up twenty cubits with boards of 

cedar at the hinder part of the temple, from the

floor to the top: and made the inner house of the

oracle to be the holy of holies.

WHITE NOTATION

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2 And the house, which king Solomon built to the

Lord, was threescore (60) cubits in length, and

twenty cubits in breadth, and thirty cubits in

height…16 And he built up twenty cubits with boards of 

cedar at the hinder part of the temple, from the

floor to the top: and made the inner house of the

oracle to be the holy of holies.

WHITE NOTATION

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2 And the house, which king Solomon built to the

Lord, was threescore (60) cubits in length, and

twenty cubits in breadth, and thirty cubits in

height…16 And he built up twenty cubits with boards of 

cedar at the hinder part of the temple, from the

floor to the top: and made the inner house of the

oracle to be the holy of holies.

WHITE NOTATION

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6 : 4 : 2 : 3

6 (the Temple’s total length) 4 (the length of the nave)

2 (the length of the sanctuary and width of the

building)

3 (the height of the building)

WHITE NOTATION

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6 : 4 : 2 : 3

6 (the Temple’s total length) 4

WHITE NOTATION

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6 : 4 : 2 : 3

6 (the Temple’s total length) 4 (the length of the nave)

2 (the length of the sanctuary and width of the

building)

3 (the height of the building)