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    <font face="Calibri">Fiona,<br>
      <br>
      I cannot really discuss your hypothesis of the leap from the
      final, which you probably submitted to many tests. I have no such
      arguments and only can envisage it in the abstract. The abstract
      questions that remain open in my mind include these:<br>
      <br>
    </font><font face="Calibri">– Would not the antiphone/psalm joining
      be from the modal final to the psalm intonatio? (This raises the
      question whether the intonation was sung at each verse, a point
      about which you may know better.) Supposing that the succession
      really is between the final and the first note of the psalm-tone
      intonation, the situation varies from mode to mode: 1, D–F; 2,
      D–C; 3, E–G; 4, E–a; 5, F–D; 6, F–F; 7, G–c; 8, G–G. In other
      words, there would be no upwards leap in modes/tones 2, 5, 6 an 8;
      I admit that these are not among the most frequent...</font><br>
    <font face="Calibri"><br>
      – If there are more that one upwards leaps in a melody, not all
      from the final, how does one know which one is from the final? I
      mean this especially if the leap where to be understood as a
      conventional signal, as I trust there are of all kinds in all
      sorts of ensemble </font><font face="Calibri"><font
        face="Calibri">oral </font>music.<br>
      <br>
      – If the leap often is from the final to the tenor/reciting tone,
      could it not more generally be said that it is the relation
      between these notes, not necessarily established by a direct leap
      but rather by statistic qualities of the notes, that define the
      tonal centricity? Final and tenor often merely </font><font
      face="Calibri"><font face="Calibri">are </font>the most present
      notes, from a statistical point of view... I cannot refrain
      thinking that this final/tenor relation eventually led to the
      mid-11th century (St Emmeran) theory of the fourth and fifth
      species, and later to the "neo-classical" conception of the modes
      which, I believe, strongly determines tonal centricity in modal
      polyphony.<br>
      <br>
      Certainly, I have to read your book, and I'll do so as soon as
      possible. And your mention of secular music in this respect is
      tantalizing.<br>
      <br>
      You probably graduated in Paris-Sorbonne just before I arrived
      there. Did you work with Nicole Sevestre? (But that probably
      better belongs to private discussions.)<br>
      <br>
      Yours,<br>
      <br>
      Nicolas<br>
      <br>
      Nicolas Meeùs,<br>
      Université Paris-Sorbonne (Emeritus)<br>
      <br>
      <br>
      <br>
      <br>
    </font>
    <div class="moz-cite-prefix">Le 3/09/2013 12:00, Fiona McAlpine a
      écrit :<br>
    </div>
    <blockquote
cite="mid:26DF8EEDFF0108469EF2B17FBC3EA32E6E009167@uxcn10-2.UoA.auckland.ac.nz"
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        Dear Nicolas,
        <div>Your second question first: tonal  centricity. I too would
          say that, when all notes in all scales/ modes are the same,
          there has to be a way in which the performer knows which
          should be the final, & that this is nowhere more acute
          than in the antiphon/psalm interchange. As you say, a lot of
          antiphons are very short: where you might still get that leap
          is from final of antiphon to tenor of psalm. This is where the
          joining mattered. </div>
        <div>Your first question now: whether that leap is a natural or
          conventional way of signalling the tonal centre? I think I'd
          say it's both: it's there in the music, & can't be
          gainsaid; but how did it get there? we don't know.</div>
        <div>I can also say that it is there in the secular trouvère
          music manuscripts.</div>
        <div>subsidiary questions: the leap from the final is often to
          the tenor/reciting tone; but not always. see the dark phrygian
          modes</div>
        <div>
          <div>& cordes m~eres: again, for a fuller discussion you'd
            have to read my book.</div>
          <div><i>Salut</i> from a graduate of Paris-IV,</div>
          <div><i>f</i><br>
            <div style="font-family:Tahoma; font-size:13px">
              <div><font class="Apple-style-span" style="font-size:13px"
                  face="'Times New Roman'"><span
                    class="Apple-style-span" style="font-size:medium"><font
                      class="Apple-style-span" color="#800080">(Dr)
                      Fiona McAlpine</font></span></font>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">Honorary
                        Research Fellow</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">School
                        of Music</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">University
                        of Auckland</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080"><br>
                      </font></span></font></div>
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                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><i><font
                          class="Apple-style-span" color="#800080">Le
                          Béguinage</font></i></span></font></div>
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                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">42
                        Horns Rd</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">RD 1</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">Oxford
                        7495</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">North
                        Canterbury</font></span></font></div>
                <div style="font-family:Tahoma; font-size:13px"><font
                    class="Apple-style-span" face="'Times New Roman'"><span
                      class="Apple-style-span" style="font-size:medium"><font
                        class="Apple-style-span" color="#800080">NEW
                        ZEALAND</font></span></font></div>
              </div>
            </div>
          </div>
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            <div id="divRpF879228" style="direction: ltr; "><font
                face="Tahoma" size="2" color="#000000"><b>From:</b>
                Nicolas Meeùs [<a class="moz-txt-link-abbreviated" href="mailto:nicolas.meeus@scarlet.be">nicolas.meeus@scarlet.be</a>]<br>
                <b>Sent:</b> Thursday, 29 August 2013 09:06<br>
                <b>To:</b> Fiona McAlpine<br>
                <b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:smt-talk@lists.societymusictheory.org">smt-talk@lists.societymusictheory.org</a><br>
                <b>Subject:</b> Re: [Smt-talk] Examples of Modes<br>
              </font><br>
            </div>
            <div><font face="Calibri">Fiona,<br>
                <br>
                Unfortnuately, I cannot have access to your book just
                now; but I read your paper "Arripui hymnarium" in
                <i>De musica disserenda</i>, which gave me an idea of
                your hypothesis. I am very interested with tonal
                centricity, which to me is essential to the very notion
                of 'modality'. I believe, for instance, that late
                medieval and Renaissance polyphony is modal because it
                evidences tonal centricity. <br>
                    I have two questions, however; I am aware that I may
                find an answer at least to the first one in your book,
                which I intend to read as soon as possible: in that
                case, don't bother to answer it.<br>
                <br>
                The first question is: do you think that the leap upward
                from the final is somehow a 'natural', unconscious
                feature of modes, or do you view it as a conventional
                way of signaling the tonal center? On the one hand I
                fail to see how such feature could result, say, from the
                structure of the diatonic system; it is true that most
                melodies of the world tend to leap upwards and to
                descend stepwise, as I think Curt Sachs already noted,
                but I don't see why the leap should be from the final
                (especially that it would have to be from an
                intermediate final). On the other hand I know that music
                does make use of conscious signaling, particularly in
                ensemble singing, but I don't immediately see the reason
                for this in the case of church modes.<br>
                <br>
                The second question that I have concerns the special
                case of psalm antiphons: many of these are too short to
                include any internal cadence, or upwards leaps of any
                kind (unless at the very beginning, but then not always
                upwards from the final). On the other hand, it is in
                that case that the tonal centre may be of "vital
                importance", as you write. I can see your point when
                dealing with hymns, but there the question of joining
                bits of music does not arise, I think.<br>
                <br>
                There are many subsidiary questions that immediately
                arise:<br>
                – I thought that the notion of "final" did not appear in
                medieval theory before Hucbald, i.e. at a time when the
                modes were close to being "turned into scales". Is your
                hypothesis to be linked with the interval between final
                and tenor (reciting tone)?
                <br>
                – The joining of antiphons with psalm verses concerns
                not only the end of the antiphon and the beginning of
                the psalm tone (which very much involves the final as
                tonal centre), but also the end of the tone with the
                beginning of the antiphon, which depends on the
                particular differentia used.<br>
                – Did you consider what Jacques de Liège (and others,
                probably) had to say of melodies which did not end on
                their proper final because of a mistake of the singers,
                who ended on one of the affinals? Would these cases
                concern melodies lacking the upwards leap that you
                describe?<br>
                – Etc., but these will suffice for the time being.<br>
                <br>
                I presume that the upwards leaps that you describe could
                often be from the final to the reciting note, what may
                suffice as justification/explanation, and which may link
                to the later theory of fifth and fourth species. But
              </font><font face="Calibri"><font face="Calibri">does not
                  this raise a question of chronology (considering the
                  theory of "cordes mères", of tenor and final at first
                  not being distinct)?</font> I'd very much like to hear
                your opinion about all this.<br>
                <br>
                Nicolas Meeùs<br>
                Université Paris-Sorbonne<br>
                <br>
                <br>
                <br>
                <br>
                <br>
              </font>
              <div class="moz-cite-prefix">Le 26/08/2013 10:49, Fiona
                McAlpine a écrit :<br>
              </div>
              <blockquote type="cite">
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                  <span class="Apple-style-span"><span
                      class="Apple-style-span">Coming back to Nicolas'
                      earlier point about the 'church' modes being not
                      just scales but collections of melodic formulae:
                      in the absence of any harmonic underpinning,
                      these melodic formulae also had to define the
                      tonal centre in a world where the tonal centre was
                      of vital importance because most of your  musical
                      activity consisted of joining discrete bits of
                      music to each other (I'm talking abut monks
                      joining antiphons to psalm tones, which Nicolas
                      touched on). Those modes were there, and organised
                      thus in relation to tonal centre, from perhaps
                      mid-ninth century (Aurelian), long before they got
                      turned into scales (let's say before the point of
                      reference for </span>most of the readers </span>of
                  these pages<span class="Apple-style-span">, Guido in
                    the early eleventh century). There is a technique by
                    which medieval musicians achieved this
                    tonal-centredness, given that all medieval modes
                    used the same diatonic collection: leaps upwards
                    from the final in an essentially stepwise melodic
                    world. Forgive the self-puffery, but for further
                    collaboration see my book
                    <i>Tonal Consciousness & the Medieval West</i>.
                    <div>
                      <div><br>
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                                  class="Apple-style-span"
                                  color="#800080">(Dr) Fiona McAlpine</font></span></font>
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                                    Auckland</font></span></font></div>
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                                      color="#800080">Le Béguinage</font></i></span></font></div>
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                                    color="#800080">42 Horns Rd</font></span></font></div>
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        Analyse effectuée par AVG - <a moz-do-not-send="true"
          href="http://www.avg.fr">www.avg.fr</a><br>
        Version: 2013.0.3392 / Base de données virale: 3222/6631 - Date:
        02/09/2013</p>
    </blockquote>
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