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View in PDF(opens in a new window)APLUMS Ceitpaacus
tse ene
o
Table 12.1: Texts of Apollinis/ Zodiacum/ In omnem
26S
MON
—
A
ETT,D:
12
Apollinis eclipsatur:
Foundation of the ‘Collegium musicorum’
David Howlett
thyme
words _ syllables
APollinis eclipsatur
a
2
8
19
nunquam lux cum peragatur
a
4
8
22
Signorum ministerio
b
2
8
18
bis sex, quibus armonica
c
4
8
20
20
fulget arte basilica
colleagues and their works by comparing them with the most illustrious figures in
the history of Western music, in a synthesis of mythology, poetry, mathematics, and
music so complete that one cannot neatly separate the strands for analysis? His
composition achieved a wide circulation, surviving into the modern period in eleven
manuscript copies. It became a base from which other poets and composers learned,
a text from which they quoted, to which they alluded, and to which they attached in
letters
c
4
8
musicorum collegio
b
2
8
17
multiformibus figuris
d
2
8
20
e quo nitet J. de Muris
d
6
8
17
modo colorum uario
b
3
8
16
e
3
8
19
acta plura uernant a quo?
e
5
8
20
ordine multiphario
b
2
8
17
noscit Henricus Helene
f
3
8
20
Philippus de Vitriaco
Study of the work of B. de Cluni admirably suits our theme, for this deeply learned
poet-composer combined three mythological bases from four texts: Plato's Timaeus,
Jerome’s Biblia Vulgata, and Boethiuss De institutione arithmetica and De
institutione musica.' From the biblical tradition, he wove into his composition
elements frora three parts, the beginning (Genesis), the middle (Psalms), and the end
(Revelation). He constructed a three-part motet, comprising a triplum Apollinis
eclipsatur, a duplum Zodiacum signis, and a tenor In omnem terram, to praise his
line
TRIPLUM
5
10
tonorum tenorem bene
f
3
8
20
b
3
8
16
Regaudus de Tiramonte
g
3
8
19
Orpheico potus fonte
g
3
8
18
Robertus de Palacio
b
3
8
17
h
2
8
17
h
3
8
20
Guilhermus de Mascaudio
b
3
8
21
Egidius de Morino
i
3
8
15
baritonans cum Guarino
i
3
8
20
b
3
8
20
}
3
8
20
Magno cum Dionisio
15
actubus petulancia
fungens gaudet poetria
20
quem cognoscat Suessio
various ways an extensive cycle of additional parts and completely new motets
Arnaldus Martini iugis
known, from the sixth line of the triplum, as the ‘Collegium musicorum.? The
composition further suits our theme in that much of its artistry has emerged in the
philomena P. de Brugis
j
4
8
18
Gaufridus de Barilio
b
3
8
18
company of our learned honorand.
uox quorum mundi climata
k
4
8
21
penetrat ad agalmata
k
3
8
18
b
3
8
18
Il
93
240
557
In the texts of Table 12.1 italics suggest rhymes. Columns to the right of the text
mark rhyme schemes and numbers of words, syllables, and letters.
Doxe fruantur brauio!
25
30
TOTALS for triplum
DUPLUM
!
ZOdiacum signis lustrantibus
a
3
10
26
For analysis of the literary tradition see David Howlett, The Book of Letters of Saint Patrick the Bishop
armonia Phebi fulgentibus
a
3
10
23
(Dublin, 1994), The Celtic Latin Tradition of Biblical Style (Dublin, 1995), The English Origins of Old
musicali palam sinergia
b
3
10
21
Pictagore numerus ter quibus
a
4
10
25
23
French Literature (Dublin, 1996), British Books in Biblical Style (Dublin, 1997), Cambo-Latin Compositions: Their Competence and Craftsmanship (Dublin, 1998), Sealed from Within: Self-Authenticating
2
Insular Charters (Dublin, 1999), Caledonian Craftsmanship: The Scottish Latin Tradition (Dublin,
adequatur preradiantibus
a
2
10
2000), and articles in Archivum Latinitatis Medii Aevi, Cambridge (later Cambrian) Medieval Celtic
Studies, Mittellateinisches Jahrbuch, and Peritia from 1994 to 2000.
Frank LL Harrison, ed., Motets of French Provenance, Polyphonic Music of the Fourteenth Century 5
(Monaco, 1968), no. 9, pp. 50-3, repr. as Musicorum Collegio, Fourteenth-Century Musicians’ Motets
Boecii basis solercia
5
b
3
10
19
B. de Cluni nitens energia
b
5
10
21
(1986), no. 2 pp. 7~10.
3
Ibid., and Frank LI. Harrison, ed., Motets of English Provenance, Polyphonic Music of the Fourteenth
Century 15 (Monaco, 1980). Note in these titles how often the first three syllables of the triplum
A-PO-LI recur.
From at least the twelfth century -ac 0/ a quo was a pure rhyme, as one infers from the spelling of the
surname of Alexander Neckam as Nequam and from the rhymes of the Archpoet ecus (i.e. equus) Grecus — cecus — pecus.
Page 2
View in PDF(opens in a new window)47 LOLLI
_
line
artis practice cum theoria
recommendans se subdit omnibus
presencia per salutaria
10
Musicorum tripli materia
*
ALAS
thyme __ wordssyllables
letters
b
23
4
10
a
4
10
27
b
3
10
21
b
3
10
22
noticiam dat de nominibus
a
4
10
22
TOTALS for duplum
2
41
120
273
13
26
58
TENOR
In omnem terram exiuit sonus eorum
et in fines orbis terre uerba eorum.
apr nesadaaze
= asp.
Table 12.2: Chiasmus naming composers in the triplum
—
AI
nitet J. de Muris modo colorum uario
A2
Philippus de Vitriaco acta plura uernant a quo
noscit
B
Henricus Helene
CI
tonorum tenorem bene
Magno cum Dionisio
Regaudus de Tiramonte
Orpheico potus fonte
C2
C3
D
E
Robertus de Palacio actubus petulancia fungens
F
gaudet poetria
E”
D’
The texts may be translated as follows;
Guilhermus de Mascaudio
CI
Egidius de Morino
Triplum
Ca
baritonans
The light of Apollo [i.e. the sun] is never eclipsed while it is brought through its
C'3
course in the service of the twice six signs [of the zodiac, i.e. annually; but the same
words may mean ‘The light of Apollo, i.e. music, is never eclipsed while it is
executed in the service of the twice six signs’), by which (sunlight or music] the
church shines with harmonic art from the company of musicians with multiform
figures. Among these Jehan des Murs is brilliant in the varied mode of colours,
€ —-_——————_——__—— —
—
cum Guarino
cognoscat
B’
A'1
Arnaldus Martini
A'2
P.de Brugis
A/3
Gaufridus de Barilio
from Philippe de Vitry spring many accomplished things in multifarious order,
Henri d’Heléne knows well the tenor of tones with Denis le Grand, Regaud de
Tirlemont, drunk from the Orphic fountain, Robert du Palais, executing his
achievements with boldness, Guillaume de Machaut rejoicing in poetry, Gilles de la
Thérouanne singing low with Guarin, whom Soissons ought to know, Arnaud de
Saint-Martin-du-Ré,
the
ever-singing
nightingale,
Pierre
de
Bruges,
[and]
Godefroy de Baralle. The voice of these men penetrates to the cardinal points of
the world, to their honour. May they enjoy the prize of glory!
Table 12.3: Chiasmus around the composer in the duplum
A
musicali
palam
B
sinergia
C
preradiantibus
D
Duplum
With signs circling round [and irradiating] the zodiac, shining with the harmony
of Phoebus, manifestly in musical cooperation, by which, radiating out, three times
the number of Pythagoras [i.e.3 x 10 = 30] is made equal with the cleverness of
the basis of Boethius [i.e. 12]. B. de Cluni, shining with the active power of the
practical art joined with theory, recommending himself introduces himself to
all by these present greetings. The subject matter of the triplum gives notice of
the names of musicians.
Boecii basis solercia
B. de Cluni
E
y
nitens
D'
energia artis practice cum theoria
a
presentia per salutaria
B’
A’
musicorum
Tenor
Into every land their sound has gone forth and their words to the limits of the land
of the world.
i.e. with poetry, in E with ‘rejoices in poetry’ in E’, all placed around ‘acts, achieve-
Compare ‘musical’ in A with ‘musicians’ in A‘, ‘openly, manifestly’ in B with ‘by
these present (manifest) greetings’ in B’, ‘in musical cooperation’ (working together)
in C with ‘power’ (working) in C’, ‘radiating out’ in D with ‘shining’ in D’, all placed
around ‘Boethius’ and ‘B. de Cluni’ at the crux in E and E’. The balance of sinergia C
with energia C‘ suggests the authenticity of sinergia, but the readings sinsagia and
sinsurgia in the Ivrea and Barcelona manuscripts attest a variant which appeared
early enough in the transmission of this text to influence the text of Psallentes
ments’ at the crux of the chiasmus in F.
Zinzugia.
The text of the triplum is divided in several ways. The 20 lines 8-27 exhibit
internal chiasmus (see Table 12.2). Compare the two names in A with the three
names in A’, ‘knows’ in B with ‘ought to know’ in B’, one name in C1 with one name
in C'1, ‘tones’ in C2 with ‘baritone’ in C'2, cum and one name in C3 with cum and
one name in C’3, the names of poets in D and D’, ‘drunk from the Orphic fountain’,
The 12 lines of the duplum also exhibit internal chiasmus (see Table 12.3).
The intertwined nature of the triplum and duplum is manifest by their high
Page 3
View in PDF(opens in a new window)SLAVE
Apollinis eclipsatur and the ‘Collegium musicorum’
2ivrvertt
157
degree of verbal overlap. The first 12 lines of the triplum exhibit 10 words or phrases
triplum by '/9 and #/9 at 3 and 27 lines, 10 and 83 words, in the last 3 lines and 10
that are echoed or prefigured in the 12 lines of the duplum (see Table 12.4).
words after naming the last of the musicians.
The poet divided his duplum of 12 lines, 41 words, 120 syllables, and 273 letters by
symmetry between the sixth line from the beginning and the sixth line from the end,
Table 12.4: Verbal material shared between triplum and duplum
lines
Triplum
lines
Motetus
1
Apollinis
2
Phebi
1-2
eclipsatur nunquam lux cum peragatur
1-2
lustrantibus
3-4
signorum bis sex
|
Zodiacum signis
3
ministerio
9
se subdit omnibus
4
armonica
2
armonia
5
fulget
2
fulgentibus
5
arte
8
artis
6
musicorum
11
musicorum
8
nitet
7
nitens
11
acta
8
practice
at the crux of the chiasmus, which is also the centre of the syllables. The last letter of
solercia at the end of the 6th line is the 137th letter from the beginning and 137th
from the end. The central 21st word is Cluni, the last part of the poet-composer's
name. He divided his duplum by duple ratio at 8 and 4 lines, 80 and 40 syllables, in
the 4 lines 7-10 and 40 syllables in which he writes about himself. He divided his
duplum by extreme and mean ratio at 7 and 5 lines, 25 and 16 words, at the seventh
line from the end and the 16th word from the beginning, Boecti, or reckoned the
other way round, at the fifth line from the end and the 25th word from the beginning, at artis practice | cum theoria.
Table 12.5: Parallelism in the tenor
—
B. de Cluni incorporated into his composition the ratios by which, according to
Plato's Timaeus and the Book of Genesis and Job 38:4-7, God had sung the universe
into existence, cosmic ratios thereby becoming ratios of music theory, notably
symmetry 1:1, duplus or duple ratio 2:1, the golden section or extreme and
mean
ratio 0.61803 and 0.38197, hemiolus or sesquialter ratio 1%:1 or 3:2, epitritus
or
in omnem terram
exiuit sonus
eorum
et
into all the land
has gone forth the sound
ofthem
and
in fines orbis terre
into the bounds of the land of the world
uerba
eorum
the words
of them
sesquitertian ratio 1'/3:1 or 4:3, and epogdous or sesquioctave ratio 1'/s:1 or 9:8, or
reckoned another way '/9 and 8/9.4
The poet divided his triplum of 30 lines, 93 words, and 240 syllables by symmetry
1:1 at the end of the fifteenth line, at Dionisio the 47th word, the last syllable of which
is 120th. He divided his triplum by duple ratio 2:1 at 20 and 10 lines, 62 and 31
words, 160 and 80 syllables in several ways. The chiastic passage that
names
composers occupies 20 lines (lines 8-27), The introductory lines that
precede this
(lines 1-7) and the concluding lines that follow it (lines 28-30) make a total
of 10
lines (i.e. 7 + 3), which exhibits a duple ratio with the ‘composers’ section. Divided
another way, he mentions the names of the two greatest composers, Philippus de
Vitriaco 10 lines and 31 words from the beginning and Guilhermus de Mascaudio
10
lines and 31 words from the end. The first word of the first color is Apollinis, the
first
musician named in the second color is Philippus de Vitriaco |, the first
named in the third color is Guilhermus | de Mascaudio, an elegant
musician
and economical
way of linking structurally the names of his two greatest contemporaries with the
name of the god of poetry, music, and light. The poet divided the triplum
by extreme
and mean ratio at 18% and 11% lines, 57 and 36 words, 148 and 92 syllables,
at
actubus | petulancia at the crux of the chiastic outline above. The poet divided
his
triplum by sesquitertian ratio 4:3 at 17 and 13 lines, 53 and 40 words,
at the only
reference in the triplum to an ancient authority, Orpheico potus fonte |. He
divided his
4
See Howlett, The Celtic Latin Tradition of Biblical Style, Chapter 1, and British Books
Chapter 1.
in Biblical Style,
|
The tenor, quoted from Psalm 18:5, is a parallelism (see Table 12.5). The words are
arranged 6-1-6, the syllables 13-13, the letters 29-29. The quotation derives from a
psalm that begins Celi enarrant gloriam Dei, and continues in the verse directly after
the quotation in sole posuit tabernaculum suum. B. de Cluni states at the beginning of
the triplum that ‘the light of the sun . . .is brought through its course in the twice six
signs [of the zodiac]’ and refers at the beginning of the duplum to the ‘signs circling
round the zodiac. The 30 octosyllabic lines of the triplum comprise 240 syllables,
and the 12 decasyllabic lines of the duplum 120 syllables, a ratio of 2:1. Together this
totals 360 syllables, the number of degrees in a circle.
The words of Psalm 18:5, quoted by Saint Paul in his Epistle to the Romans 10:18,
are used in a liturgical context most closely corresponding to this melody in the
Offertory for the Apostles Peter and Paul on 29 June, the 180th day of an ordinary
year. These apostles, whose words go to the ends of the earth, serve as models for the
12 musicians, whose collective ‘voice penetrates to the cardinal points of the world’.
Unusually the tenor is the middle part of this composition, so that, in a sense, the
sun and the signs of the zodiac circle round the fixed earth as grounded in the tenor,
guided by it but in part independent of it. In this piece the tenor is the symbolic and
mathematical foundation of the musical material, but not the primary foundation of
the musical structure it appears to support.
Through the structure of his verse, the poet celebrates musical practice in the
triplum, in which he mentions one ancient performer, Orpheus, makes acta the last
of the words that connect triplum with duplum, and places the word actubus at the
Page 4
View in PDF(opens in a new window)Apollinis eclipsatur and the ‘Coltegium rmusscor um
LAU PVEL EL
golden section of lines and syllables, at the crux of the chiasmus. He celebrates
musical theory in the duplum, in which he mentions two ancient theorists, Pythagoras and Boethius. He celebrates the unity of practice and theory in his own art,
nitens energia artis practice cum theoria.
In the structure of his three-part composition he illustrates the proportion 3:2:1
with three sentences in the duplum, of 6, 4, and 2 lines, in the proportion 3:2:1, with
two sentences in the triplum (lines 1-29 and 30) and one sentence in the tenor. The
19 letters of the octosyllable at the beginning of the triplum and the 26 of the decabaritonans is sung in the triplum at the same time as the o of omnibus in the duplum.
At breve 12 the first syllable of signorum is sung in the triplum just before the first
syllable of signis is sung in the duplum. At breve 19 the words armonia Phebi
fulgentibus are begun in the duplum just before the words armonica fulget are begun
at breve 23 of the triplum; both text phrases end together at the beginning of breve
25. In breves 28-33 of the duplum the word musicali is sung in long notes, extending
before, during, and after the singing of musicorum collegio in breves 30-32 of the
triplum. The first of the names of B. de Cluni’s contemporaries, lohannes de Muris, is
syllable at the beginning of the duplum together comprise 45 letters, which divide by
sung in the triplum in breves 37-38 just before the first of the names, Pictagore, 15
sesquitertian ratio at 19 and 26. The letters of these verses
sung in breves 39-41 of the duplum.
APOLLINIS ECLIPSATUR
ZODIACUM SIGNIS LUSTRANTIBUS
can be rearranged to produce another octosyilable and another decasyllable
SIGNIS OLIM LUSTRANTIBUS
APOCALIPSIS CLUNI DETUR AZ
meaning ‘with the symbols [i.e. letters] A-Z moving round on occasion, the revelation of Cluni may be given out’ In the former of these anagrammatic verses the first
letters of the words spell SOL ‘sun’, and in the latter the central letter begins the name
of poet and composer, CLUNI. The A of Apollinis and the Z of Zodiacum recall the a
et w principium et finis of Revelation 1:8.
In Latin alphabetic notation the name B. DE CLUNI exhibits a value of 2 + 4 +5
+34 11+ 20+ 13 + 9 or 67. With Y for the I spelling B. DE CLUNY exhibits a value
of2+4+5+3+11+20+ 13 + 22 or 80. From the beginning
of the duplum to B. de
Cluni | brings one to the 80th breve. Reckoned backward from the end of the duplum
B. | de Cluni is the 67th.
The 557 letters of the triplum, added to the 273 letters of the duplum, added to
the 58 letters of the tenor, comprise 888 letters, equal to the value in Greek alphabetical notation of the name IHCOYC, 10 + 8 + 200 + 70 + 400 + 200 = 888.
B. de Cluni incorporates pervasive mythological consonances and references to
the Apocalypse. He refers to Phoebus Apollo, the Greek god of the sun, in the first
line of the triplum and the second line of the duplum. His words in the triplum, lux,
fulget, nitet, and in the duplum lustrantibus, fulgentibus, preradiantibus, nitens,
remind us that in Revelation 1:10 John dates the vision to a Sunday, fui in spiritu in
Dominica die, and in 1:16 John says of the Son of Man facies eius sicut sol lucet. As the
Son of Man instructs John in 1:11 quod uides scribe in libro, B. de Cluni tells us in the
last lines of his duplum that he has written the names of musicians in the triplum:
musicorum tripli materia noticiam dat de nominibus.
Our poet-composer states that Pictagore numerus ter quibus adequatur Boecii basis
solercia (three times the number of Pythagoras is made equal with the cleverness of
The number 6 is both perfect and triangular, the product of 1 x 2 x 3 and the sum
of | + 2 + 3. It is the number of the Hexaemeron, the Six Days of Creation. In this
composition the words bis sex ‘twice six’ occur after six tenor notes, after six perfect
longs, at the beginning of the second group of six in each case. Musicali is preceded
by six words, and musicorum is followed by six words that allude to the twice six
musicians named in the triplum. The tenor comprises three colores, each of two
taleas in equal proportion, without diminution, together making six.
|
The number 12 is also fundamental to the construction of text and music. In the
triplum 12 musicians are named in 12 lines. The 12 signs of the zodiac are
mentioned at the beginning of the duplum, of which the 12 lines of verse correspond
to the Boecii basis. Diction noted in Table 12.4 above that connects the 12-lined
duplum with the triplum occurs in the first 12 lines of the triplum. In the duplum
the twelfth note is the first note of signis. The triplum is 144 (12 x 12) breves long, the
square of the number of gates in the heavenly Jerusalem (Revelation 21:12), the
number of cubits in the walls of the heavenly Jerusalem (Revelation 21:17), part of
the number of the elect in the heavenly Jerusalem, 144,000, that is 12,000 from each
of the 12 tribes of Israel (Revelation 7:4-8).
These are only a few of the ways in which one poet-composer made a complete
organic fusion of the static words and moving rhythms of poetry with the static
numbers of arithmetic and moving numbers of music, in order to communicate
timeless truths about mythology, theology, and the structure of the universe. In a
synthesis of time with eternity he praised the greatest of his contemporaries, relating
them in the triplum and himself in the duplum to the greatest of their predecessors
as musicians, Orpheus, Pythagoras and Boethius, and their divine patron, Phoebus
Apollo, god of poetry and music and light, and relating all in the tenor to the
Psalmist and the greatest apostles, Peter and Paul. The learning of our
poet-composer was deep and wide, but it appears in his composition with a lightness
of touch not unlike that by which our honorand has communicated discoveries
about our tradition to friends and students and a wider scholarly community.
the basis of Boethius). In De Institutione Arithmetica 2.42 Boethius refers to the
perfection of the number 10 because Pythagoras observed that it was the sum of 1 +
2 + 3 + 4. The number 12 is referred to here as the Boecii basis because in De
Institutione Musica 2.10 Boethius explains musical proportions from it. In this motet
the 30 lines of the triplum and the 12 lines of the duplum are ‘made equal’ by the
musical setting which causes them to begin and end together.
Triplum, duplum, and tenor also exhibit remarkable sinergia ‘working together’ in
other ways. All three begin on the pitch A. In the middle of breve 111 the o of
ANA
ETAT ON
AND RT MORT N
MED GURL AND RERMANLSO Anne
MA mei CA