Most    of  the book    concerns    what    Deschamps   called  musique naturele    or  “natural    music,” meaning
poetic  versification.  (This   was a   time-honored    use of  the word    “music”;    recall  St. Augustine’s treatise    De
Musica, which   concerned   nothing but the meters  of  what    we  would   call    spoken  poetry.)    Nor is
Deschamps   known   to  have    been    what    we  would   call    a   composer.   But in  one passage he  juxtaposes
musique naturele    with    musique artificiele or  “artful music,” that    is, music   as  we  would   use the term.
While   either  music   can be  practiced   by  itself, and while   either  is  pleasant    to  hear,   they    achieve their
fullest beauty, Deschamps   maintains,  in  “marriage,” through which   “melodies   are more    ennobled    and
made    more    seemly  with    the words   than    they    would   be  alone,” and “poems  are made    more    delightful  and
embellished by  the melody  and the tenors, trebles,    and contratenors    of  music.” This    may seem    an  early
enunciation of  the idea    that    the various art media   are mutually    reinforcing and achieve their   full    potential
in  synthesis—an    idea    now typically   associated  with    Romanticism and with    Richard Wagner, an  opera
composer    who wrote   his own librettos.  More    likely  Deschamps   was merely  invoking    what    he  and his
contemporaries  took    to  be  the normal  state   of  affairs,    in  which   poetry  implied music   and vice    versa.  The
division    of  the two was an  arbitrary   rhetorical  device  that    enabled Deschamps   to  specify what    it  was that
each    component—the   verbal  and the musical—contributed to  the overall effect.
So  it  is  noteworthy  that    the words   are described   as  the bearers of  gentility   and seemliness—moral
qualities—and   the notes   are the agency  of  artifice,   embellishment,  and delight.    The period  in  which
Deschamps   lived   was the period  of  the final   (some   say decadent)   phase   of  the Ars Nova—an explosion   of
convoluted  musical artifice    and intricate   embellishment   that,   it  is  often   said,   reached a   height  of
sumptuous   complexity  unrivaled   until   the twentieth   century.
To  speak   of  rivalry in  this    case    is  quite   appropriate,    since   the whole   “explosion” was predicated  on
the idea    of  emulation—not   just    imitation,  but the effort  to  surpass.    And since   contests    of  this    sort    can be
objectively won or  lost    only    on  the basis   of  technique,  technical   virtuosity—in   the handling    of  complex
contrapuntal    webs,   in  the contrivance of  new rhythmic    combinations,   in  the invention   of  new notational
devices for representing    them—became the primary focus.  In  the name    of  subtilitas, composers   at  the end
of  the fourteenth  century became  involved    in  a   sort    of  technical   arms    race.
A   treatise    on  advanced    notation    (Tractatus  de  diversis    figuris)    attributed  to  Philippus   (or Philipoctus)
de  Caserta,    an  Italian-born    composer    who flourished  around  1370–1390   at  the papal   court   of  Avignon,
spelled it  all out.    Philippus   wanted  to  go  beyond  the limits  of  Philippe    de  Vitry’s practice,   as  set out in  the
Ars Nova    treatises   (and    as  exemplified by  the motets  in  Ex. 8-1 and 8-3).   Where   Philippe    had posited his
four    basic   tempus/prolation    combinations    as  alternatives,   Philippus   wanted  to  be  able    to  combine them    all
“vertically,”   that    is, as  simultaneous    polymeters.
To  make    these   polymeters  as  explicit    and unambiguous as  possible,   Philippus   compiled    or  invented    a
great   slew    of  bizarre note-forms  to  supplement  the standard    time    signatures; they    involved    two (or even
three)  ink colors, filled  and void    note-heads, all kinds   of  tails   and flags,  sometimes   employed    in  tandem
(one    extending   upward  from    the note-head,  the other   down    or  to  the side).  He  did all this,   he  said,   to
achieve a   subtiliorem modum,  a   style   or  way of  composing   with    greater subtilitas—with greater
refinement, greater decorativeness, greater sophistication, and especially  with    ever    more    flamboyant
technique.  Since   the 1960s   this    style   has been    called  the “Ars    subtilior”  after   Philippus’s assertion,
following   a   suggestion  by  the German  musicologist    Ursula  Günther.^4  Previously  it  had been    called  the
“mannered   style,” after   the standard—that   is, nineteenth-century—terminology  of  Germanic    art history.
That    name    obviously   connoted    a   certain disapproval of  excess; the idea    of  discarding  it  seemed
remarkably  timely  in  the 1960s,  when    many    contemporary    composers,  especially  in  the academy,    were
enthusiastically    advancing   an  ars subtilior   of  their   own.
Philippus   cast    himself demonstratively as  Machaut’s   heir    by  quoting the text    incipit from    one of
Machaut’s   ballades,   and the refrain of  another,    in  a   ballade of  his own,    En  remirant    (“While gazing  at
