triads; and the most    characteristic  place   to  observe this    is, again,  at  cadences.   A   typical three-voice
cadence in  cantilena   style   has the cantus  and the tenor   describing  their   characteristic  progression from
sixth   to  octave, with    a   contratenor (or,    less    often,  a   triplum)    doubling    the cantus  at  the lower   fourth  (if a
contratenor)    or  upper   fifth   (if a   triplum),   thus    creating    what    we  have    already learned to  identify    as  the
“double leading-tone”   cadence.
This    full    harmonic    texture began   to  influence   the composition of  motets, as  we  saw in  the previous
chapter,    when    contratenors    were    added   to  the vocal   complement. Although    we  now associate   the
contratenor-enriched    texture primarily   with    Machaut,    it  may actually    have    been    yet another innovation  of
Philippe    de  Vitry.  Several of  his extant  motets  do  have    contratenors;   and,    although    they    do  not survive,
Vitry   is  known   to  have    written ballades,   probably    in  the 1320s   (when   the polyphonic  ballade is  described
as  a   popular novelty by  Jacques de  Liège), some    twenty  years   before  Machaut’s   earliest    three-part
cantilenas  began   appearing,  at  first   in  the Remède  de  Fortune.
One of  the manuscripts containing  the virelai En  mon cuer,   which   we  have    considered  in  one part    and
in  two,    contains    some    extra   ruled   lines   reserved    for a   triplum Machaut never   got around  to  writing.    That
would   have    created three   interchangeable versions    of  the song—or rather, three   performance
possibilities:  cantus  alone,  cantus  plus    tenor,  cantus  plus    triplum and tenor.  Any of  these   possibilities   is
harmonically/contrapuntally correct;    none    of  them    can claim   to  be, in  any exclusive   sense,  the “real
thing.” Again   we  are reminded    that    the line    between creation    and performance was still   a   blurry,
permeable   one.    Machaut corroborates    this    in  an  odd way when    he  asks    Péronelle,  in  one of  the Voir    Dit
letters,    to  receive a   special song    from    him and have    it  played  by  her minstrels   “just   as  it  is, without
adding  or  taking  away.”  For the sake    of  their   special relationship,   in  other   words,  he  was asking  for
something   exceptional.
FUNCTIONALLY DIFFERENTIATED COUNTERPOINT
As  an  example of  the standard    cantilena   texture “just   as  it  is, without adding  or  taking  away,”  we  can look
at  yet another Machaut virelai,    Tres    bonne   et  belle   (Ex.    9-6),   the only    one to  come    down    in  all its sources,
exceptionally,  as  a   three-voice composition.    The final   is  C,  putting the song    in  what    we  would   call    the
major   mode    (and    what    Machaut,    if  he  thought about   it  at  all,    would   probably    have    called  a   transposition
of  the Lydian  mode,   normally    pitched on  F). The texted  part    or  cantus  has a   plagal  ambitus that    puts    the
final   smack   in  the middle  of  its range.  The lower   tenor   and contratenor share   a   single  authentic   ambitus,
from    c   to  d’.
EX. 9-6 Guillaume   de  Machaut,    Tres    bonne   et  belle   (virelai    a   3)