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            <title level="a">The Cantus Database: Mining for Medieval Chant Traditions</title>
            <author>
               <name>Debra Lacoste</name>
               <address>
                  <addrLine>University of Waterloo</addrLine>
                  <addrLine><ref target="mailto:dlacoste@uwaterloo.ca">dlacoste@uwaterloo.ca</ref></addrLine>
               </address>
            </author>
            <editor role="acceptingeditor">
               <name>Christine McWebb</name>
               <address>
            <addrLine>University of Waterloo</addrLine>
          </address>
            </editor>
            <editor role="recommendingreader">
               <name>Nicolas Bell</name>
               <address>
            <addrLine>The British Library</addrLine>
          </address>
            </editor>
         </titleStmt>
         <publicationStmt>
            <publisher>Digital Medievalist, University of Lethbridge</publisher>
            <pubPlace>Lethbridge AB, Canada T1K 3M4 </pubPlace>
            <availability>
               <p>© Debra Lacoste, 2011. Creative Commons Attribution-NonCommercial licence</p>
            </availability>
            <date n="received" when="2011-09-20">September 20, 2011</date>
            <date n="revised" when="2011-11-19">November 19, 2011</date>
            <date n="published" when="2012-02-07">February 7, 2012</date>
         </publicationStmt>
         <seriesStmt>
            <title>Digital Medievalist</title>
            <idno type="issue">7</idno>
            <idno type="date">2011</idno>
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               <term type="DMType">Article</term>
               <term type="keyword">Cantus</term>
               <term type="keyword">Database</term>
               <term type="keyword">Antiphoner</term>
               <term type="keyword">Antiphonal</term>
               <term type="keyword">Office</term>
               <term type="keyword">Gregorian</term>
               <term type="keyword">Chant</term>
               <term type="keyword">Latin</term>
               <term type="keyword">Research Tools</term>
               <term type="keyword">Modes</term>
               <term type="keyword">Medieval Studies</term>
               <term type="keyword">Inventory</term>
               <term type="keyword">Index</term>
               <term type="keyword">Dendrogram</term>
               <term type="keyword">Volpiano Font</term>
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      <front>
         <argument n="abstract">
            <p>The Cantus database is a well-established project devoted to the creation and
               distribution of electronic indices of manuscript and early printed sources of Latin
               chant for the liturgical Office. As of January 2011, there were over 379,000 records
               in the database, each of which is an individual chant in one of the 134 manuscripts
               which have been indexed to date. For over a decade, this research tool has been
               growing and adapting to the needs of chant scholars, musicologists, hagiographers,
               art historians and researchers in other fields. In addition to the basic search
               functions and downloading options, there are now several analytical tools available
               on the website, including a textual concordance and an interactive
               dendrogram-creation tool. The latter, an example of data-mining, allows the user to
               select a series of chants which will form the basis of a comparison among the
               numerous manuscripts whose contents are recorded in Cantus. Similarities in chant
               series can be interpreted as affinities among manuscripts, and so, the dendrograms
               which are created (through the calculations of similarity matrices) can assist
               researchers in identifying related chant repertories, in studying the origins and
               dissemination of saints' feasts, in providing evidence for the provenance of
               manuscript sources and, undoubtedly, for numerous other research applications.</p>
         </argument>
      </front>
      <body>
         <div>
            <p xml:id="lacoste.p0001"><title level="m">Cantus: A database for Latin ecclesiastical
                  chant</title> (<ptr target="http://cantusdatabase.org/"/>; also available from
                  <ptr target="http://margot.uwaterloo.ca/cantus/index.html"/>) is a
               well-established online project devoted to the creation and distribution of digital
               indices of medieval chant manuscripts and early printed books for the liturgical
               Office. For almost two decades, this freely-accessible research tool has been growing
               and adapting to the needs of scholars in a variety of fields, such as musicology
               (ecclesiastical chant and the sacred polyphony of the Middle Ages and Renaissance),
               liturgical drama, hagiography, palaeography, philology, art history, ecclesiastical
               history and monasticism. By providing a searchable database of detailed information
               for the over 379,000 chants entered to date,<note><p>As of January 2011, the Cantus
                     database contained complete indices of 134 manuscript and early printed
                     sources, a total of 379,206 individual chants.</p></note> Cantus is also a
               useful digital archive for librarians, archivists, amateur chant enthusiasts, auction
               houses (where medieval manuscripts and individual folia are sometimes sold), as well
               as performers of this early music, including church musicians, directors of liturgy
               and members of monastic communities.</p>
            <p xml:id="lacoste.p0002">The most popular features on the website continue to be the
               search and download functions, and it is mainly for these aspects of Cantus that the
               website has received an average of approximately 15,000 visits per month over the
               last few years from users all around the world. In addition to these basic functions,
               Cantus has begun to offer several online, interactive analytical tools which utilize
               the data in a variety of ways. The current offerings include a textual concordance,
               programmes which compare series of chants in order to identify regional or widespread
               traditions, and a dendrogram-creation programme which provides a visual display of
               the degree of similarity or difference among medieval sources of chant. More analysis
               programmes are being proposed. These applications of the data housed in Cantus
               demonstrate the research potential of this relatively large mass of information and
               illustrate the flexibility and usefulness of indices of chant manuscripts in a
               digital medium.</p>
         </div>
         <div>
            <head xml:id="section1">A brief history of Cantus</head>
            <p xml:id="lacoste.p0003">Cantus was developed in the late 1980s by Ruth Steiner at the
               Catholic University of America. The first files were created on a mainframe computer
               and distributed in the post on floppy diskettes. By the mid-1990s, the database had
               been posted to the Internet first with a Gopher protocol and then, eventually, to the
               World Wide Web where it has remained with open access for all interested users. From
               1997 until 2010, the base of operations was at the University of Western Ontario
               (UWO) under the leadership of Terence Bailey; during these years, there was
               tremendous growth in the database and it became firmly established as an effective
               and reliable research tool. On 1 December 2010, following the retirement of Bailey,
               Debra Lacoste entered into a collaboration with MARGOT at the University of Waterloo,
               Ontario and Cantus became one of the partners in their cluster of medieval, online,
               digital humanities projects. <note><p>After years of support from the Social Sciences
                     and Humanities Research Council of Canada and The University of Western
                     Ontario, the Cantus database (<ptr target="http://publish.uwo.ca/~cantus"/>)
                     was fortunate to receive funding from The Andrew W. Mellon Foundation for the
                     period from March 2011 to February 2012 to redesign the website and database
                     using MySQL in a Drupal framework. This has been carried out in collaboration
                     with the MARGOT project at the University of Waterloo. Cantus can now be
                     accessed at: <ptr target="http://margot.uwaterloo.ca/cantus/index.html"/> with
                     a direct link to the data at: <ptr target="http://cantusdatabase.org/"/>. The
                     analytical tools available on the UWO website will remain online indefinitely;
                     the first priority in the 2011 year of transition has been the transference of
                     the browsing, searching and downloading functions.</p></note>
            </p>
         </div>
         <div>
            <head xml:id="section2">The database</head>
            <p xml:id="lacoste.p0004">In the Cantus database, each record is an individual chant in
               a manuscript. Each record contains such information as the folio number on which the
               chant is found, the liturgical occasion or <soCalled>feast day</soCalled> (that is,
               the day of the liturgical year, such as Christmas, St. Benedict’s Day, or the
               Wednesday following the eighteenth Sunday after Pentecost), the first few words of
               the chant in the <soCalled>incipit</soCalled> field, the melodic mode to which the
               chant belongs (that is, one of the eight medieval church modes), the liturgical
               Office for which the chant was intended to be sung (such as Matins, Lauds, Vespers,
               and so on), the genre of the chant (for example, hymn, responsory, antiphon, etc.),
               as well as supplementary fields which contain additional information.</p>
            <p xml:id="lacoste.p0005">The database was created to assist scholars who work with
               medieval chant manuscripts. A formidable challenge in the study of the medieval
               Office is the very large number of surviving sources and the variability in
               arrangement of their contents. Each hand-copied manuscript, which regularly may
               contain thousands of chants, is unique and testifies to the tradition of a specific
               time and place. Although the liturgy in the various antiphoners and breviaries is
               often similar from one book to another, the ordering, selection and placement of
               specific chants can differ substantially. Scholars regularly use the data provided
               free-of-charge in Cantus to locate particular chants on which they are working and to
               navigate through microfilms or digital image libraries.</p>
            <p xml:id="lacoste.p0006">Although the original purpose of the database was the creation
               of <soCalled>tables of contents</soCalled> for medieval Office books, many
               researchers have begun to employ the data in Cantus in creative ways. What follows is
               a description of the known ways that Cantus data has been manipulated, augmented, and
               programmed into applications in order to further research into the long tradition of
               medieval ecclesiastical chant. Chant-researching pioneers in the field of digital
               humanities will no doubt expand on this listing of methodologies in the coming
               years.</p>
         </div>
         <div>
            <head xml:id="section2.1">The creation of tonaries</head>
            <p xml:id="lacoste.p0007">One of the first applications of Cantus data beyond its
               usefulness in locating individual chants on particular folios was the creation of
               tonaries. A tonary is a listing by mode of the antiphons which were sung in medieval
               worship. A tonary was often copied as part of a medieval service book, and the church
               cantors could refer to these lists when preparing their psalm tone recitations.
               However, not all medieval service books were copied with a tonary, and some tonaries
               have been separated from their service books. Furthermore, we do not know if existing
               tonaries are complete or 100% accurate without first comparing their lists of chants
               with the actual contents of related manuscripts. For purposes of comparison and
               study, a tonary can easily be created from the Cantus index of a manuscript with a
               simple database query: this involves merely sorting the antiphons by their modes and
                     differentiae.<note><p>The eight medieval church modes to which the
                     freely-melodic antiphons were assigned are entered into the database as the
                     numbers 1 to 8. Differentiae are the sometimes numerous cadences for the eight
                     formulaic psalm tones that correspond to each mode. The grouping of antiphons
                     whose accompanying psalm recitations employ the same differentia often
                     demonstrates familial melodic relationships among those antiphons; this
                     organization of melodies by mode and differentia simulates the listings in
                     existing medieval tonaries.</p></note>
               <figure xml:id="lacoste.fig0001">
                  <figDesc>Tonary query</figDesc>
                  <graphic url="support/Picture1.png"/>
               </figure></p>
         </div>
         <div>
            <head xml:id="section2.2">Modal and melodic analyses</head>
            <p xml:id="lacoste.p0008">Many chant scholars have an interest the relationships between
               chants in different melodic modes.<note><p>For example, Ike de Loos was interested in
                     chants with multiple melodies or melodies which could be interpreted and
                     reinterpreted in different modes. She engaged in a comparison of modal (i.e.,
                     numerical) assignments in <ref target="#deLoosunpublished">de Loos
                        unpublished</ref>.</p></note> Some chant texts exist with multiple melodies
               and some chant melodies can be interpreted and reinterpreted in different modes based
               on various characteristics, such as their opening melodic gestures and their final
               cadences. The numerical assignment of mode numbers 1 to 8 in Cantus indices is a
               great benefit in this type of research; searching and sorting of many thousands of
               records can be accomplished in mere minutes.</p>
         </div>
         <div>
            <head xml:id="section2.3">Melodic incipits in Volpiano font</head>
            <p xml:id="lacoste.p0009">Also aiding the study of chant melodies is one of the more
               recent developments in Cantus: the inclusion in some indices of the melodic incipits
               or the complete melodies of the chants in a form of letter notation which presents as
               a series of Arabic letters and dashes in a data-string, and as round note-heads on a
               five-line musical staff when the font <soCalled>Volpiano</soCalled> is applied.
                  <soCalled>Volpiano</soCalled> font is named for the early-eleventh-century
               theorist William of Volpiano (Guillaume de Dijon, cf. <ref target="#Bentetal2009"
                  >Bent et al. 2009</ref>), who is credited with the letter notation used in the
               manuscript <label>Montpellier H. 159</label>.<note><p>
                     <label>Montpellier, Bibliothèque Inter-Universitaire, Section Médecine H.
                        159</label>.</p></note> Each letter in the font corresponds to a pitch in
               William's a-p series of alphabetic notation. For example, the application of Volpiano
               font to the data-string <soCalled>1---c--d--e--f---4</soCalled> results in the
               presentation of corresponding pitches on a modern staff with a treble clef (see <ref
                  target="#lacoste.fig0002">Figure 2</ref>). <figure xml:id="lacoste.fig0002">
                  <figDesc>Volpiano font applied to a data-string.</figDesc>
                  <graphic url="support/Picture2.png"/>
               </figure></p>
            <p xml:id="lacoste.p0010">Chant melodies encoded in Volpiano font are searchable and
               sortable data-strings in Cantus records, as shown in <ref target="#lacoste.fig0003"
                  >Figure 3</ref>. <figure xml:id="lacoste.fig0003">
                  <figDesc>Cantus data table showing the “Volpiano” field with letter notation (in
                     the ninth column).</figDesc>
                  <graphic url="support/Picture3.png"/>
               </figure></p>
            <p xml:id="lacoste.p0011">The data-strings in a Cantus record display on the <title
                  level="m">Details</title> page of the UWO website as melodies in modern notation
               if the host computer has Volpiano font installed (see <ref target="#lacoste.fig0004"
                  >Figure 4</ref>).<note><p>For more on the benefits of the use of this font in
                     chant scholarship, refer to <ref target="#HelsenLacoste2011">Helsen and Lacoste
                        2011</ref>.</p></note>
               <figure xml:id="lacoste.fig0004">
                  <figDesc>Website <title level="m">"Details"</title> page showing all the recorded
                     data for one chant, including the melodic incipit displayed in Volpiano
                     font.</figDesc>
                  <graphic url="support/Picture4.png"/>
               </figure></p>
         </div>
         <div>
            <head xml:id="section2.4">Textual concordance</head>
            <p xml:id="lacoste.p0012">Another use of Cantus data is in the textual
                     concordance.<note><p>The textual concordance is available from the UWO Cantus
                     website.</p></note> The user can enter into the search box one or more words,
               such as <soCalled>
                  <foreign xml:lang="lat">Ecce nomen</foreign></soCalled> or <soCalled><foreign
                     xml:lang="lat">Ave Maria</foreign></soCalled> and see a listing of occurrences
               within the database. The user can then view the context of the search words within
               any of the manuscripts in which those words occur, that is, the placement of those
               words among neighbouring chants on the folio side or page. More advanced searches are
               also available, as detailed in the HELP tab.</p>
         </div>
         <div>
            <head xml:id="section2.5">Responsory series comparative tool</head>
            <p xml:id="lacoste.p0013">Previous studies have successfully shown that a similarity in
               the usage and ordering of particular items of the liturgy can be interpreted as an
               indication of affinity among sources (<ref target="#Hesbert1963">Hesbert
                  1963-79</ref>); the more the manuscripts resemble one another with respect to the
               chants they contain and the order in which those chants occur, the more likely there
               is to be a common tradition linking them together. One could presume that the data
               housed in Cantus is an ideal resource for such comparisons. A featured programme on
               the UWO Cantus website is the interactive database <title level="m">Responsory
                  Series: Advent and Lent</title>, an application that can assist researchers in
               identifying the degrees of similarity between over 900 sources of medieval western
               chant through comparison of the usage and ordering of responsory
                     chants.<note><p>Although the information contained in the Responsory Series
                     database shares a similar format with Cantus data with respect to chant ID
                     numbers, normalization of spelling, genre identification codes, etc., the
                     Responsory Series website tool accesses a separate set of database tables.
                     These tables contain only the series of responsory chants for specified Sundays
                     for over 900 sources, whereas the Cantus tables contain full indices of all the
                     chants in, as of January 2011, 134 sources.</p></note> The user can select any
               one of the entered series of <foreign xml:lang="lat">responsoria prolixa</foreign>
               (the <soCalled>Great Responsories</soCalled>)<note><p>The <soCalled>Great
                        Responsories</soCalled> are lengthy, elaborate chants which were sung
                     primarily during the Office of Matins in series of either nine or twelve,
                     depending on the cursus (monastic or secular). The selection of particular
                     chants and the order in which they were sung varied from place to place across
                     medieval Europe; it is the uniformity or lack thereof within these chant series
                     that provides a useful starting point for research into local or regional chant
                     traditions.</p></note> for the four Sundays of Advent or the six Sundays of
               Lent and use that series of chants as the basis for a comparison with the other
               records entered for that particular Sunday. There are three methods of comparison
               available, that is, three methods of mathematical calculation,<note><p>These are: 1.
                     Matches/Pairs, 2. Edit Distance, and 3. Longest Common Sequence. For an
                     explanation of these methods, see <ref target="#LacosteStafleu2009">Lacoste and
                        Stafleu 2009</ref>.</p></note> and the results are listed with the closest
               affiliations at the top (see <ref target="#lacoste.fig0005">Figure 5</ref>). <figure
                  xml:id="lacoste.fig0005">
                  <figDesc>Responsory series sample results for a comparison involving series for
                     the first Sunday in Lent (L1), with "Klo3" (i.e., <label>Klosterneuburg,
                        Augustiner-Chorherrenstift - Bibliothek, 1017</label>) as the head of the
                     series, the one against which all others are compared.</figDesc>
                  <graphic url="support/Picture5.png"/>
               </figure></p>
            <p xml:id="lacoste.p0014">One can see with only a few clicks of the mouse which chant
               traditions are similar to the source that is the <soCalled>head</soCalled> of the
               comparison; with a few more clicks, the user can change the
                  <soCalled>head-series</soCalled> to either another Sunday for the same manuscript
               or to a different source altogether, or select a different method of comparison, and
               a new set of results will appear.</p>
         </div>
         <div>
            <head xml:id="section2.6">Cantus series comparative tool</head>
            <p xml:id="lacoste.p0015">Establishing relationships between manuscript sources can lead
               to new hypotheses regarding the transmission of chant, the development or retention
               of local customs and numerous other topics. Expanding on the <soCalled>Responsory
                  Series</soCalled> tool, the <soCalled>Cantus Series</soCalled> programme extracts
               and compares chant series of all types from the Cantus database. The data can be
               manipulated according to the user's preferences; researchers can select for
               comparison <emph>any</emph> series of chants for <emph>any</emph> liturgical
               occasion. Results are displayed in long lists, similar to the format for the series
               comparisons of responsory chants.</p>
         </div>
         <div>
            <head xml:id="section2.7">Dendrograms</head>
            <p xml:id="lacoste.p0016">Since it is difficult to know how to interpret and utilize
               lengthy lists of numbers, the comparative calculations from both the Responsory
               Series and Cantus Series programmes can be represented in the visual format of the
                  <soCalled>dendrogram</soCalled>, a model adopted from cluster analysis techniques
               used in the biological sciences.<note><p>For more explanation, see <ref
                        target="#LacosteStafleu2009">Lacoste and Stafleu 2009</ref>.</p></note> The
               dendrogram website tool<note><p>The dendrogram tool is available from the UWO
                     website.</p></note> is an interactive online programme that allows the user to
               demonstrate the relationships between manuscripts in a branching diagram. These
               dendrograms, which are created through the calculations of similarity matrices, can
               assist researchers in identifying related chant repertories, in studying the origins
               and dissemination of saints' feasts, in providing evidence for the provenance of
               manuscript sources and, undoubtedly, for numerous other research applications. For
               example, the relationship of the five series of responsories for the fourth Sunday of
               Advent shown in <ref target="#lacoste.fig0006">Figure 6</ref> can be represented in a
               similarity matrix as shown in <ref target="#lacoste.fig0007">Figure 7</ref>. <figure
                  xml:id="lacoste.fig0006">
                  <figDesc>Five different series of responsory chants for the fourth Sunday of
                     Advent (A4).</figDesc>
                  <graphic url="support/Picture6.png"/>
               </figure>
               <figure xml:id="lacoste.fig0007">
                  <figDesc>The matrix representing the calculations of similarity and difference
                     among the five series of responsory chants in <ref target="#lacoste.fig0006"
                        >Figure 6</ref>.</figDesc>
                  <graphic url="support/Picture7.png"/>
               </figure></p>
            <p xml:id="lacoste.p0017">Notice the diagonal of zeroes showing self-similarity in the
               matrix, much as a distance table on a road map shows the number of kilometres or
               miles between cities. The calculations for the similarity matrix can be transferred
               into a clearer visual representation through the use of the dendrogram shown in <ref
                  target="#lacoste.fig0008">Figure 8</ref>. <figure xml:id="lacoste.fig0008">
                  <figDesc>Dendrogram showing the degrees of similarity between the five responsory
                     series in Figures <ref target="#lacoste.fig0006">6</ref> and <ref
                        target="#lacoste.fig0007">7</ref>.</figDesc>
                  <graphic url="support/Picture8.png"/>
               </figure></p>
            <p xml:id="lacoste.p0018">The liturgical occasion (that is, the Sunday) is listed in the
               first of the columns on the right-hand side; for this example, the chant series
               involved in this comparison are taken from the fourth Sunday of Advent (A4). The
               manuscript sigla are after the cursus (monastic or secular<note><p>Each manuscript
                     record contains a <soCalled>cursus</soCalled> field that includes
                        <soCalled>M</soCalled> for <soCalled>monastic</soCalled> or
                        <soCalled>S</soCalled> for <soCalled>secular</soCalled> (i.e. cathedral or
                     non-monastic) sources. This information is vital for the calculations of
                     similarity since monastic manuscripts usually provide twelve (or more)
                     responsories for each liturgical day and cathedral sources provide only
                     nine.</p></note>), followed by an indication of the dates of the sources and a
               brief word concerning their provenance, the latter being abbreviated to twelve
               characters owing to space restrictions. Interpreting the dendrogram involves
               observing the distances of the vertical lines; the closer the vertical connecting
               lines are to the manuscript sigla (i.e., further to the right side of the page or
               screen), the more similar the series are. This dendrogram shows that, for this group
               of five responsory series, there is a fairly close-knit association in the sources
               from Boulogne, Fritzlar and Paris.<note>
                  <p>The sigla represent: <list type="simple">
                        <item>Blg1 = <label>Boulogne‑sur‑Mer, Bibliothèque municipale, 93 A</label>
                        </item>
                        <item>Kas05 = <label>Kassel, Landesbibliothek und Murhardische Bibliothek
                              des Stadt Kassel, Theol. 2o 144</label>
                        </item>
                        <item>Bar1 = <label>Bari, Basilica di San Nicola ‑ Biblioteca, 2</label>
                        </item>
                     </list></p>
               </note> The manuscript from Padua is the outsider in this group, while the one from
               Bohemia takes an intermediary position.<note>
                  <p>The sigla represent: <list type="simple">
                        <item>Pad3 = <label>Torino, Biblioteca Nazionale Universitaria, F IV.
                              3</label>
                        </item>
                        <item>Pra2 = <label>Praha (Prague), University Library, XIV B. 13</label>
                        </item>
                     </list></p>
               </note>
            </p>
            <p xml:id="lacoste.p0019">Series of chants within a cluster are more similar to each
               other than they are to series outside the cluster. Therefore, the series from
               Boulogne and Fritzlar are more similar to each other than either is to the series
               from Paris, Padua or Bohemia. It is important to note that from the dendrogram we
               cannot determine exactly how close the series from Paris is to either Boulogne or
               Fritzlar; we can only see how close the Paris series is to the cluster formed by the
               other two. These conclusions are, obviously, only valid within the group of these
               five series. What are interesting and often enlightening are the dendrograms
               involving hundreds of sources from various regions and liturgical traditions of
               medieval Europe. The Cantus data awaits the eager users of this online comparative
               tool.</p>
            <p xml:id="lacoste.p0020">Through its previous two decades, as Cantus has both grown and
               transformed to serve an increasing base of users, the integrity of and respect for
               the project have remained strong owing to collaboration within the academic
               community. A few of the manuscript indices in the Cantus database have been produced
               by junior research assistants on the Cantus staff but many others have been
               contributed by scholars worldwide;<note><p>Contributed files as well as those
                     produced by Cantus staff are thoroughly proofread before being uploaded into
                     the web-database. The proofreading process involves a complete manual pass by
                     an experienced indexer followed by electronic proofreading which employs
                     forty-nine customized queries within Microsoft’s Access.</p></note> the high
               number of donated indices to this database demonstrates the frequent collaborative
               efforts that we have been witnessing in this burgeoning new era of humanities
               computing.</p>
            <p xml:id="lacoste.p0021">The usefulness of Cantus as a chant research tool is proven
               both by the number of visits to the website and by the praiseworthy testimonials of
               chant scholars from around the world. Amid such affirmations of importance, the
               database continues to expand and seek new directions in an effort to serve scholars,
               assist in the development of new research and establish the study of chant firmly
               within the scope of the digital humanities.</p>
         </div>
      </body>
      <back>
         <div>
            <listBibl>
               <bibl xml:id="Bentetal2009">Bent, Ian et al. <title level="a">Notation, 'III, 1:
                     History of western notation: Plainchant, (v) pitch-specific notations, 11<hi
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