FIG.    3-6 The “Guidonian  hand”   as  represented in  a   thirteenth-century  Bavarian    manuscript.
Armed   with    the memorized   and internalized    gamut,  a   singer  could   parse   a   written melody  into    its
constituent intervals   without hearing it  or  hunting for it  on  a   monochord.  The first   phrase  of  Salve   Regina
(Ex.    3-12b), for example,    could   be  seen    at  a   glance  to  lie exactly within  the compass of  the natural
hexachord,  in  which   it  would   be  solmized    with    these   voces:  /la sol la  re/(Salve);/la  sol fa  mi  fa  sol fa  mi
re/(Regina);/ut re  re  ut  re  mi  fa  sol re  mi  ut  re  /   (mater  misericordiae). All of  Regina  caeli   (Ex.    3-
12a)    lies    within  a   single  soft    hexachord.  The beginning   of  the second  phrase  (“Quia  quem    meruisti”), the
first   that    encompasses the entire  range   of  the chant,  would   take    these   voces:  /ut sol sol la  la  sol fa  mi  re  ut
re  mi  mi/.    Finally,    here    are the voces   for the first   “Kyrie” acclamation and the first   “Christe”   in  Kyrie   IX
(Ex.    3-5):
Kyrie:/ re  fa  sol la  sol fa  mi  re  fa  re  ut  re  ut  re  fa  sol fa  mi  re/(natural hexachord).
Christe:/   mi  mi  re  fa  mi  re  re  ut  re  fa  re  mi/(soft    hexachord).
Except  for the beginning   of  the second  “Kyrie” invocation, which   extends down    into    the first   hard    (or
“gamma”)    hexachord   (syllables: re  fa  sol sol),   the whole   of  Kyrie   IX  can be  solmized    using   one natural
and one soft    hexachord.  It  would   be  a   good    exercise    for the reader. Another good    exercise    would   be  to
seek    out phrases in  the chants  used    as  examples    in  this    book    so  far that    exceed  the interval    of  a   sixth,  and
that    therefore   require a   mutation    for their   proper  solmization.    Salve   Regina  contains    a   number  of
interesting examples    of  this    type.   The phrase  “Ad te  suspiramus, gementes    et  flentes”    requires    a   mutation
from    natural to  soft    and back    again,  thus:/re    fa  la  (think  mi)sol  re  re  ut  re  mi  (think  la),    re  fa  sol sol re  fa
mi  re  ut/.    The phrase  “Eia    ergo,   Advocata    nostra, illos   tuos    misericordes    oculos” is  tricky: it  begins  in
the soft    hexachord,  and descends    into    the natural;    but when    the upper   range   is  regained,   mutation    must    be
not to  the soft    hexachord   but to  the hard,   since   the melody  (as the alert   singer  will    have    scanned ahead   to
notice) has a   B-natural,  not a   B-flat, thus:/ut    ut  re  ut  re  mi  mi, sol re  mi  re  ut  (think  fa)re   sol la  (think
re),    sol sol fa  mi  fa  sol re  sol fa  re  ut  (think  fa)la   sol fa  mi  fa  mi  re  ut/.    At  “nobis,”    however,    where   the
B-flat  is  called  for,    so  is  the soft    hexachord:  /   re  la  (think  mi)fa   mi/.
Armed   with    these   techniques, and with    Guido’s hand    stored  in  memory  for ready   reference,  a   singer
could   truly   sing    at  sight,  or  (as Guido   put it  in  the title   of  his famous  epistle of  1032)   “sing   an  unknown
melody.”    Reinforced  over    centuries   of  practice,   this    pedagogical aid wrought enormous    changes in  the
way music   was disseminated    and thought about.  When    transmission    from    composer    to  performer   could