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pythagorean tuning
musical tuning system where all notes are derived from stacking pure perfect fifths
liturgy
the customary order of worship for a religious group
purpose of standardizing the liturgy
to teach the congregation the church doctrine in a way that is standard
standardizing the liturgy
led to music notation and gregorian chant
gregorian chant
monophonic sacred singing in latin
monophony
a single melody line without any harmonic accompaniment or other melodic lines
7 liberal arts
grammar
logic
rhetoric
arithmetic
geometry
astronomy
music
Jubal vs. Pythagoras: conflict between Greek reason and Judeo Christian faith
music is a divine gift revealed to humanity within the biblical timeline
vs.
Pythagoras discovered mathematical ratios behind musical harmony
universal history
embraces all aspects of the past (biblical and pagan) and connects it chronologically
medieval christian historians accepted pagan gods as historical figures made possible by euphemism because of the idea of
universal history
euphemism
the thought that Greek gods were real people that were deified after their exploits
why Jubal gained favor (universal history)
it was established that Jubal had priority in time over Pythagoras
mass
the most important service in the Roman Catholic Church that commemorates the Last Supper of Jesus
organum
two or more voices improvise singing at a 5th/4th below the given melody
structure of organum
principal voice = original chant melody
organal voice = 5th/4th below
3 types of organum
parallel organum
mixed parallel organum
note-against-note organum
parallel organum
organal voice sings a parallel 5th below
mixed parallel organum
organal voice sings a parallel 4th below while avoiding tritones
note-against-note organum
melody is now in the lower voice
notre dame cathedral
features the first liturgical polyphony to be composed and performed from notation in church
the notre dame cathedral made
major developments in polyphony and rhythmic modes
the problem with Leonin
there is no way to prove that all the “Leonins” in the documents are the Leonin mentioned in anonymous iv
there are other “Leonins” who have been documented that could not possibly have been the composer
motet
new genre which added newly written Latin words to the upper voices
where is the principal melody in motet
the principal melody is in the cantus firmus
were motets sacred or secular?
typically sacred (can be both)
isorhythmic motet
the tenor moves very slowly in comparison to the upper voices
de Vitry
french composer who is credited for writing the music treatise Ars nova
the earliest musical works that exemplify the Ars Nova are
de Vitry’s motets
mensural notation
used note shapes to show both pitch and rhythm clearly
tempus imperfectum
groups of two → when a breve/measure is equal to two semibreves
tempus perfectum
groups of three → when a breve/measure is equal to three semibreves
Machaut: famous mass
Missa de Notre Dame
Machaut: Missa de Notre Dame
first complete polyphonic setting of the mass attributed to a single, named composer
unified mass movements into a single work
Machaut was one of the first composers to
compile his works and discuss his compositional methods
retrograde imitation
complements a forward moving line with an identical line stated in reverse
medieval interest in retrograde imitation
composers were fascinated with achieving musical symmetry
the ability to match rhythmic and melodic patterns with their retrograde demonstrated the composer’s knowledge of mensural notation and counterpoint & tested their skill at canonic riddles
example piece of single melody retrograde
Dominus - Nusmid
Dominus Nusmido
single melody retrograde
only the melody is reversed exactly, the rhythm has changed
example piece of rhythmic retrograde
Garrit Gallus by de Vitry
de Vitry’s Garrit Gallus features a
rhythmic retrograde → the same rhythm forwards and backwards
we know the retrograde in de Vitry’s Garrit Gallus is intentional because
de Vitry is a compositional master, but he breaks the rules in order to achieve rhythmic symmetry
an example piece of a retrograde canon realized through the text is
Machaut’s Ma fin est mon commencement
Machaut’s Ma fin est mon commencement is a
retrograde canon
Given only the tenor and countertenor in Machaut’s Ma fin est mon commencement, how do we realize the other voices exist?
the title is a hint
retrograde canon:
tenor is normal
cantus is tenor backwards
B section os countertenor is the A section in retrograde
chanson
polyphonic French songs where the upper principal line is the cantus
chanson: 3 formes fixes
ballade
rondeau
virelai
humanism
the study of humanities, or things pertaining to human knowledge
humanism: humanism emphasized
logic and metaphysics and its reliance on authority
humanism: humanists considered these studies more important
grammar
rhetoric
poetry
history
moral philosophy
humanism: humanists had faith in
dignity of humans
human reason
the human capacity to understand reality through our senses
humanism: following aristotle, humanists considered music
an essential part of education
court musicians
musicians worked in royal courts or extended households of a monarchy
3 divisions of the courts a musician can work in
chapel
chamber
public
the new counterpoint
no parallel 5ths and octaves
dissonances must be handled through passing tones, neighbor tones, suspensions, etc
imitative counterpoint
voices imitate or echo a motif or phrase in another voice
examples of imitative counterpoint can be
same melody
inversion
retrograde
retrograde inversion
contenance angloise translates to
the english quality
the english quality
style of music that frequently used 3rds/6s & used syllabic text setting
english discant style
three-part polyphonic composition written with a single plainchant melody as the base
the english discant style would often include
parallel first inversion chords
Dunstable
most highly regarded English composer of the 15th century
English influence on France
the musical (especially harmonic) styles of England influenced Binchois and DuFay
Composers writing full masses
starting in the 15th century, it was normal for composers to set the Mass as a coherent whole
the first Mass composed as a whole piece
Machaut’s Missa de Notre Dame was the first mass composed as a coherent whole
DuFay: Se la face ay pale
chanson
shows strong influence of English music → both the tenor and cantus are equally tuneful
the rhythmic energy of the French Ars Nova is still present
DuFay’s Se la face ay pale shows strong influence of English music because
both the tenor and cantus are equally tuneful
DuFay: Missa se la face ay pale
earliest known complete cyclic mass
used secular song Se la face ay pale as the cantus firmus for the mass
the earliest known complete cyclic mass is
DuFay’s Missa se la face ay pale
the song DuFay used as the cantus firmus for his Missa se la face ay pale is
secular song Se la face ay pale
what was DuFay’s Nuper rosarum flores written for
DuFay’s Nuper rosarum flores was written for the consecration of the dome built for the Florence cathedral
how does DuFay’s Nuper rosarum flores relate to Solomon’s Temple
dufay uses numerology to relate Solomon’s temple to the Duomo cathedral in Florence
specific numerology examples in DuFay’s Nuper rosarum flores connecting the piece to Solomon’s temple
proportions of the piece 6:4:2:3
the number 28. is a perfect number
multiples of 7
Nuper rosarum flores by DuFay: important numbers
6:4:2:3 → the overarching design of the piece
uncommon proportion
4×7
4 sections of the work, 28 breves 2 times
28 is a perfect number
DuFay uses the first 14 notes of the Introit of a Mass for the cantus firmus
cyclic mass
a musical setting of the mass ordinary in which each movement shares the same melody theme in the cantus firmus
cyclic mass: cantus firmus
can be an original melody, famous song, existing chant, etc.
cyclic mass: L’homme arme
secular French song
over 40 cyclic masses written with the song
examples of cyclic masses
Missa L'homme arme
Missa fortuna desperata
Missa se la face ay pale
Obrecht’s Missa fortuna desperata is a
cyclic mass with retrograde of popular italian song fortuna desperata
“canon” in latin translates to
rule
canon
instructs the second voice to sing the same melody starting after the original voice
in canons, the second voice could be
imitation
inversion
retrograde
retrograde inversion
mysticism
finding ways to directly experience the divine through music, science, and mathematics
in medieval mystic writing, Christ’s passion is compared to
the suffering of an early lover going after an unattainable lady
mystics have written about the paleness of Jesus to represent
Jesus’ suffering and his love
Ockeghem
composer closely identified with the French royal court, where he served three kings
example of mensuration canon
the kyrie in Ockeghem’s Missa prolationum
mensuration canon
two voices simultaneously sing from the same part but use different mensuration signs
Isaac
musician who worked for Lorenzo di Medici
composed Palle Palle
Isaac’s Palle palle: how the cantus firmus pays homage to the Medici family
written in tempus perfectum → mensuration sign is a circle
8 notes
repeated 3 times
3 gigli → higher notes
paints the contour of the medici coat of arms
42 = MEDICI spelled in numbers in the latin alphabet
Josquin: Missa Hercules dux ferrariae
matches solmization syllables to the subject
soggetto cavato
matches solmization syllables to another word
Josquin: Missa L’homme arme
transposed the L’homme arme tune to each solmization syllable
overall modality of the mass is in dorian
uses mensural canon in the Kyrie and Agnus Dei
Josquin: El grillo
written about a penis
many italian dialects use the word to refer to a penis
rhetoric is expressed in music through the use of
figures
figures:
ascending or descending melody?
length of note?
melisma
intervals
numerology
there is ALWAYS a meaning
circulatio
a series of pitches that form a circle around a certain pitch
significance of circles
circle is eternal
concepts symbolized by the circle
heavenly spheres
world
eternity
God
wheel of fortune
Josquin: Ave maria benedicta tu and the Virgin Mary’s breasts
the Virgin’s breasts were seen as nourishing
circulus on the phrase containing “ubera” meaning “breasts”
tempus perfectum → mensuration sign is a circle
only section that’s in 3
canon at the octave represents the relationship of the mother and son
madrigal (italian)
most important secular genre of 16th century Italy
explores expression, characterization and dramatization
through-composed form
themes of love, sex, and wit