www.calumcille.com
Musica et scolica enchiriadis

The second half of the treatise, the Scolica enchiriadis, contains instruction on how to sing
the short office antiphon
Ego sum via.  The text speaks for itself in providing valuable
evidence of such antiphons being sung to a beat.



















































Latin:
Scriptores ecclesiastici de musica sacra potissimum ed. Martin Gerbert Vol 1 p182-183
  English:
Gregorian Rhythm in the Gregorian Centuries, Dom Gregory Murray, 1957

The rhythm and the assignation of notes to syllables of the second version of the melody
shown here is taken from Hans Schmid's edition.  He uses metrical signs to indicate the long
and short notes.  The long notes are there found on the first F, the second D and the last G.

One passage in particular may relate to overall tempo change.  The master seems to
command
Ego sum via to be sung through three times, with all note lengths doubled the
second time through but not doubled on the third time through.  The technique would have
the didactic aim of developing the pupil's grasp of simple and duple durations of notes.  
Numerosity here is apparently not a mere matter of counting syllables.
Pupil: What is rhythmical singing?
Master: It is to observe where to use the
more prolonged durations and where the
shorter ones. As we observe which
syllables are
short and which long, so too
which sounds are to be
prolonged and
which
shortened, in order that the long
concur
proportionally with those that are
not long, and the melody may be scanned
[lit. beaten] as though in metrical
feet.
Now let us sing for practice. I will
clap the
[musical]
feet and lead; you follow me:




Only the last notes in the three
members
are
long, the rest are short. So to sing
rhythmically means to measure out  
proportional durations to long and short
sounds, not
prolonging or shortening
more than is required under the conditions,
but keeping the
sound within the law of
scansion, so that the melody may be able
to finish in the same
tempo with which it
began. But if any time you wish for the sake
of variation to change the
tempo, i.e. to
adopt a
slower or a faster pace either
near the beginning or towards the end, you
must do it
in double proportion, i.e. you
must
change the tempo either into twice
as fast
or twice as slow.  . .
[Let us sing
in measure: first let there be a
contracted tempo [lit. delay], let a
protracted one follow, then a contracted
one again.]




This
numerical proportion is always
seemly in skilled song and adorns it with
very great dignity, no matter whether the
singing be slow or fast, or whether it be
rendered by one or by many. Furthermore
it follows that, as in
rhythmical singing, no
one sings either more slowly or more
quickly than another, the voices of a
multitude sound like that of one man.
commemoratio brevis
D. Quid est numerose canere?
M. Ut attendatur, ubi
productioribus,
ubi
brevioribus morulis utendum sit.
Quatenus uti quae syllabae
breves,
quae sunt
longae, attenditur; ita qui
soni
producti quique correpti esse
debeant, ut ea, quae
diu, ad ea, quae
non diu, legitime concurrant, et veluti
metricis
pedibus cantilena plaudatur.
Age canamus exercitii usu;
plaudam
pedes
ego in praecinendo, tu sequendo
imitabere.




Solae in tribus
membris ultimae
longae, reliquae breves sunt. Sic
itaque
numerose est canere, longis
brevibusque
sonis ratas morulas
metiri, nec per loca
protrahere vel
contrahere magis quam oportet, sed
infra scandendi legem
vocem continere,
ut possit melum ea finiri
mora, qua cepit.
Verum si aliquotiens causa variationis
mutare
moram velis, id est, circa initium
aut finem
protensiorem vel
incitatiorem cursum facere, duplo id
feceris, id est, ut
productam moram in
duplo correptiore seu correptam
immutes,
duplo longiore. ...

Canamus
modo: prima sit mora
correptior
, subiungatur producta, tunc
correpta iterum.





Haec igitur
numerositatis ratio doctam
semper cantionem decet, et hac maxima
sui dignitate ornatur, sive tractim sive
cursim canatur, sive ab uno seu a
pluribus. Fit quoque, ut dum
numerose
canendo alius alio nec plus nec minus
protrahit aut contrahit, quasi ex uno ore
vox multitudinis audiatur.
g   g   g    a'g  f      g  f   g  a' c'd'  d'    d'f'  c'b' g  a'     b'  a' g g
E go sum vi - a    ve ri tas et vi - ta     Al - le - lu ia     Al le lu ia
g   g    g   a'g  f      g  f  a'   a' c'd' d'    d'c'  c'b'  g a'    b' b' a'g  g
E go sum vi - a    ve ri tas et vi - ta     Al - le - lu ia    Al le lu - ia
The morula
The tenor and the pausa
The tenor
The distinction
Commemoratio brevis
Scolica enchiriadis
Musica enchiriadis
Berno
Alcuin, Remigius & Guido
Metric chant
Tempus antiquorum
Poetic metre
The symbolism of chant rhythm
Equalism
Academic treatment
De Grocheo
Unmetered poetry