6Repertoire: Neume Notation

This chapter describes the elements, model classes, and attribute classes that are part of the MEI.neumes module.

6.1Overview of the Neumes Module

The MEI Neumes Module represents the community’s attempt to create a standardized set of rules that encapsulate in a logical, systematic, and unequivocal way the musical information represented and conveyed by Western European neumatic notations (beginning with the late ninth century and continuing to the printed books of the twentieth). Most neume notation is used to set music to an existing text. The syllable is the fundamental unit of structure, with the neumes themselves serving as a means of “sonifying” the text. A syllable may be expressed via one or more neumes, with the particular neume shape chosen depending on the pitch contour that is being employed and the desired interpretation.

The `syllable` element is used as the primary organizational element for neume notation within a `layer` element. Within `syllable`, the `syl` element defined in the `MEI.shared` module is used for encoding the textual content, while the `neume` and `nc` elements are used to encode the neumes themselves. Within these Neumes Module elements, other standard MEI mechanisms are available to accommodate, for example, editorial or critical markup.

6.1.1Basic four elements

The following four elements are the fundamental components of the Neumes Module:

Neume notation can be thought of as "neumed text". Therefore, the syllable element provides high-level organization in this repertoire.

Neume notation can be thought of as "neumed text". Therefore, the syllable element provides high-level organization in this repertoire.

(syllable) – Individual lyric syllable.

(syllable) – Individual lyric syllable.

Figure 56.

Sign representing one or more musical pitches.
Sign representing one or more musical pitches. As such, a neume consists of one or more nc element(s):

Connected Non-connected
Figure 57. Connected
Figure 58. Non-connected

Sign representing a single pitched event, although the exact pitch may not be known.

Sign representing a single pitched event, although the exact pitch may not be known. Examples of neume components are:

Example 1 Example 2 Example 3
Figure 59. nc-1
Figure 60. nc-2
Figure 61. nc-3

6.2Neumes Module Background

Neume encoding in MEI was initially developed as part of the Hildegard von Bingen project at the University of Tübingen. MEI was chosen as the basic representation format after a comparison of existing music encoding formats. The initial work on this module was performed by Gregor Schräder (Ein XML-Datenformat zur Repräsentation kritischer Musikedition unter besonderer Berücksichtigung von Neumennotation), supervised by Prof. Stefan Morent. Since 2012 a group of scholars has been working on the development of a new version of the MEI schema for neume notations (Ichiro Fujinaga, Jennifer Bain, Debra Lacoste, Kate Helsen, and Inga Behrendt). Afterwards, other chant scholars joined the group bringing further expertise on other kinds of early music notations (namely Elsa De Luca, Alessandra Ignesti, and Sarah A. Long).

6.3Neume Notation and MEI

There are four main challenges in encoding Western European early music. The first relates to the fact that early notation was just a mnemonic aid that helped the readers to recall the music they already knew by heart and, as such, it conveys only partial musical information (Bain, Behrendt, & Helsen 2014; Helsen, Behrendt, & Bain 2017). Indeed, it is only with the invention of staff lines in the eleventh century that the system of musical transmission gradually changed, relying more on the written record rather than on orality. The second challenge refers to the existence of different regional styles of early notation; early-music manuscripts display a great graphical variety of musical signs, which include both neumes and other notational elements conveying further musical information (e.g., significative letters, Old Hispanic ticks, etc.). Thirdly, some of those regional notational styles occasionally share graphically similar shapes; these similar shapes within the different notational styles are understood by modern scholars to represent the same, a similar, or even a _different_ musical meaning. Finally, while on occasion the neume shapes appear to mirror graphically the musical characteristics of the sound being represented (e.g., pen-stroke going up = rising melody), in many instances it is generally understood that the meaning attached to the neumes (or the other notational elements) may not be so straight-forward, but instead was ruled by conventions shared by the people who knew orally the musical repertory being fixed in written form by means of notation.

_What do these challenges entail for modern encoders?_

Firstly, sometimes we have to deal with written signs whose meaning is obscure to us and, while we can infer the meaning of some of those signs from the study of later manuscripts with the same melodies and a more precise notation, in other cases we need to turn to music palaeographers who examine the recurrence of those written signs and the context where they were used. By analysing scribal hands in particular manuscripts, palaeographers can often work out if a written sign is a meaningless scribal variant or a graphical feature conveying musical meaning to the medieval reader. Secondly, since a neume shape could either mirror on the page the aural event or bear some other musical meaning attached by convention, the encoding sometimes relies on the visual level or on the semantic level, and this distinction has to be made on a case-by-case basis. Moreover, since the same written sign could have multiple interpretations according to the style of notation where it was employed, it is crucial to be aware of the conventions of each regional notational alphabet in order to capture the musical information conveyed by that sign in the contexts where it is found.

See two examples of shapes found in different regional styles that are not captured with the same encoding:

Example 1

St Gall notation Oriscus (one-note ornamental neume). The oriscus is the middle note of a three-note raising gesture (commonly called _salicus_ in the literature).

Figure 62.

<neume>
<nc>
<oriscus/>
</nc>
<nc tilt="ne" intm="u"/>
</neume>
Listing 225.

Old Hispanic notation: Two-note downward melodic gesture.

Figure 63.

<neume>
<nc tilt="ne"/>
<nc curve="c" tilt="s" intm="d"/>
</neume>
Listing 226.

Example 2

Old Hispanic notation: Four-note neutral-low-high-low melodic gesture.

Figure 64.

<neume>
<nc tilt="ne"/>
<nc tilt="se" intm="d"/>
<nc tilt="ne" intm="u"/>
<nc tilt="se" intm="d"/>
</neume>
Listing 227.

Aquitanian notation: Three-note rising neume with oriscus on the second note.

Figure 65.

<neume>
<nc>
<oriscus/>
</nc>
<nc tilt="ne" intm="u"/>
</neume>
Listing 228.

A further complication is that while the music encoding aims to narrow down and capture the meaning of the neumes in a logical and coherent system, occasionally the significance of some neumes is under debate (e.g., quilisma) and, despite its aim for accuracy, the encoding must remain open for future interpretations. From all these challenges has arisen the need for an early music encoding standardisation, that is, a set of rules that work for the description of any neume across all early notations regardless of the different methodologies applied to the study of individual notations and their idiosyncrasies.

Broadly speaking, Western early notations belong to two categories. On one side we have notations where two or more notes were represented by a single pen-stroke, while on the other side there are notations where the notes are graphically separated by means of discrete dots or short pen-strokes. These distinctions have been described even within single notational styles as interrupted neumes `<ineume>` or uninterrupted `<uneume>` (Morent & Schräder 2008; Morent 2011; MEI Guidelines, 6: Neume Notation, version 3.0), and now as gapped or not gapped (Behrendt, Bain, & Helsen 2017; MEI Guidelines, 6: Neume Notation, version 4.0). To date, the MEI Neumes Module has been tested mainly on stroke notations (St. Gall, Old Hispanic, etc.), but also on Aquitanian point-notation.

6.4Samples of MEI encodings

6.4.1Elements

neume and nc are the most common elements used in the MEI Neumes module. In the following examples we can see how these elements are used to describe sung gestures of 1, 2, and 4 notes in square notation.

One pitch - Staff notation. Example A
Figure 66. One pitch

<neume>
<nc pname="f" oct="3"/>
</neume>
Listing 229.

One pitch - Staff notation. Example B
Figure 67. One pitch

<neume>
<nc pname="c" oct="3"/>
</neume>
Listing 230.

Two pitches - Staff notation
Figure 68. Two pitches

<neume>
<nc pname="e" oct="3" tilt="n"/>
<nc pname="c" oct="3"/>
</neume>
Listing 231.

Four pitches - Staff notation
Figure 69. Four pitches

<neume>
<nc pname="a" oct="3"/>
<nc pname="b" oct="3"/>
<nc pname="g" oct="3" tilt="se" con="g"/>
<nc pname="f" oct="3" tilt="se" con="g"/>
</neume>
Listing 232.

In addition to neume and nc the following elements are also frequently used in the MEI Neumes Module: custos, episema, hispanTick, liquescent, ncGrp, oriscus, quilisma, signifLet, strophicus. Note that nc, episema, hispanTick, and signifLet are neume elements. Instead oriscus, liquescent, quilisma, and strophicus are elements that must be part of a nc element. The custos is an element that is encoded inside the syl element. Furthermore, there are many other elements such as Editorial and Metadata elements that are not specific to Neumes and are not listed here.

custos: to indicate a symbol placed at the end of a line of music to indicate the first note of the next line. Sometimes called a "direct" (see MEI encoding of custos below).

<!-- mdiv: to indicate pause between neumes

Figure 70.
-->

episema: to indicate an episema (see MEI encoding of episema below).

Figure 71.

hispanTick: to indicate Old Hispanic ticks (see MEI encoding of hispanTick below).

Figure 72.

liquescent: to indicate a liquescent (see MEI encoding of liquescent neumes below).

Figure 73.

ncGrp: to indicate multiple ncs.

oriscus: to indicate an oriscus.

ORISCUS - Square notation
Figure 74. Oriscus1

<neume>
<nc oct="3" pname="g">
<oriscus/>
</nc>
</neume>
Listing 233.

ORISCUS - St Gall notation
Figure 75. Oriscus2

<neume>
<nc/>
<nc>
<oriscus/>
</nc>
<nc tilt="ne" intm="u"/>
</neume>
Listing 234.

quilisma: to indicate a quilisma (see MEI encoding of quilisma below).

Figure 76.

signifLet: element indicates significative letter(s) attached to a neume or a nc (see MEI encoding of signifLet below).

Figure 77.

strophicus: to indicate a strophicus

STROPHICUS - Square notation
Figure 78. Strophicus

<neume>
<nc pname="c" oct="4" tilt="n" ligated="true"/>
<nc pname="a" oct="3" ligated="true"/>
<nc pname="c" oct="4"/>
<nc pname="c" oct="4">
<strophicus/>
</nc>
<nc pname="c" oct="4">
<strophicus/>
</nc>
</neume>
Listing 235.

6.4.2Neume component attributes

@
pname (att.nc.log)
Contains a written pitch name.
@
oct (att.nc.log)
Captures written octave information.
@
Encodes the melodic interval from the previous pitch. The value may be a general directional indication (u, d, s, etc.), an indication of diatonic interval direction, quality, and size, or a precise numeric value in half steps.
@
con (att.ncForm)
Connection to the previous component within the same neume; this attribute should not be used for the first component of a neume.

GAPPED CONNECTION - Old Hispanic notation
Figure 79. Gapped

<neume>
<nc tilt="e"/>
<nc con="g" tilt="n" rellen="l" intm="u"/>
</neume>
Listing 236.

LOOPED CONNECTION - Old Hispanic notation
Figure 80. Looped

<neume>
<nc s-shape="s"/>
<nc con="l" tilt="ne" intm="u"/>
</neume>
Listing 237.

EXTENDED CONNECTION - Old Hispanic notation
Figure 81. Extended

<neume>
<nc tilt="ne"/>
<nc curve="c" con="e" tilt="sw" rellen="s" intm="d"/>
</neume>
Listing 238.

Nota bene: the following neume has a similar shape but the neumatic connection is _not_ extended.

NON-EXTENDED CONNECTION - Old Hispanic notation
Figure 82. Non-extended

<neume>
<nc tilt="n"/>
<nc curve="c" tilt="s" rellen="s" intm="d"/>
</neume>
Listing 239.

@
curve (att.ncForm)
Records direction of curvature.

CURVE - Old Hispanic notation
Figure 83. Curve

<neume>
<nc curve="c"/>
<nc con="g" curve="a" intm="s"/>
</neume>
Listing 240.

@
angled (att.ncForm)

ANGLED - Old Hispanic notation
Figure 84. Angled

<neume>
<nc tilt="e"/>
<nc angled="true" intm="u"/>
<nc angled="true" intm="u"/>
<nc tilt="n" rellen="l" intm="u"/>
</neume>
Listing 241.

@
hooked (att.ncForm)
Pen stroke has an extension; specific to Hispanic notation.

HOOK – Old Hispanic notation
Figure 85. Hook

<neume>
<nc tilt="ne"/>
<nc tilt="se" hooked="true" rellen="s" intm="d"/>
</neume>
Listing 242.

@
ligated (att.ncForm)
Indicates participation in a ligature.
{true | false} if this nc is part of a ligature. See the encoding of the strophicus example, above.

@
rellen (att.ncForm)
Length of the pen stroke relative to the previous component within the same neume; this attribute should not be used for the first component of a neume.

RELATIVE LENGTH – Old Hispanic notation. Example A
Figure 86. Relative-Length-A

<neume>
<nc tilt="ne"/>
<nc tilt="se" rellen="s" intm="d"/>
</neume>
Listing 243.

RELATIVE LENGTH – Old Hispanic notation. Example B
Figure 87. Relative-Length-B

<neume>
<nc tilt="ne"/>
<nc tilt="se" rellen="l" intm="d"/>
</neume>
Listing 244.

@
tilt (att.ncForm)
Direction of the pen stroke.

TILT – Old Hispanic / St Gall notation
Figure 88. Tilt

<neume>
<nc tilt="ne"/>
</neume>
Listing 245.

@
s-shape (att.ncForm)
Direction of the initial direction for an s-shaped pen stroke; i.e., "w" for the standard letter S, "e" for its mirror image, "s" for the letter S turned 90-degrees anti-clockwise, and "n" for its mirror image.

S-SHAPE – Old Hispanic notation
Figure 89. S-shape-A

<neume>
<nc s-shape="s"/>
</neume>
Listing 246.

S-SHAPE – St Gall notation
Figure 90. S-shape-B

<neume>
<nc s-shape="w">
<oriscus/>
</nc>
</neume>
Listing 247.

6.4.3Custos attributes

@
pname (att.pitch)
Contains a written pitch name.
@
oct (att.octave)
Captures written octave information.
@
Holds the staff location of the feature.

CUSTOS - Staff notation
Figure 91. Custos1

<custos pname="f" oct="3"/>
Listing 248.

CUSTOS - Late Aquitanian notation
Figure 92. Custos2

<custos pname="c" oct="4"/>
Listing 249.

CUSTOS - Aquitanian notation
Figure 93. Custos3

<custos loc="+3"/>
Listing 250.

CUSTOS - Aquitanian notation
Figure 94. Custos4

<custos loc="0"/>
Listing 251.

CUSTOS - Aquitanian notation
Figure 95. Custos5

<custos pname="a" oct="4"/>
Listing 252.

Nota bene: in the last example we can read the exact pitch of the custos because the lozenged punctum (placed one step below the line) signals the lower note of the semitone E-F. This information, combined with the identification of the finalis of the piece, allows us to decipher the mode of this piece, that is the 4th.

6.4.4Episema attributes

@
@
Captures the placement of the episema with respect to the neume or neume component with which it is associated.

EPISEMA – Staff notation
Figure 96. Episema-A

<neume>
<nc pname="a" oct="4" tilt="s">
<episema form="h" place="above"/>
</nc>
<nc pname="g" oct="4"/>
</neume>
Listing 253.

EPISEMA - St Gall notation. Example A
Figure 97. Pes rotundus episema

<neume>
<nc curve="a"/>
<nc intm="u" tilt="ne" rellen="l">
<episema form="h" place="above-right"/>
</nc>
</neume>
Listing 254.

EPISEMA - St Gall notation. Example B
Figure 98. Pes quadratus episema

<neume>
<nc tilt="se"/>
<nc intm="u" tilt="ne" rellen="l">
<episema form="h" place="above-right"/>
</nc>
</neume>
Listing 255.

EPISEMA - St Gall notation. Example C
Figure 99. Pes quassus episema

<neume>
<nc s-shape="w"/>
<nc intm="u" tilt="ne" rellen="l">
<episema form="v" place="above-right"/>
</nc>
</neume>
Listing 256.

6.4.5Liquescent attributes

@
Records direction of curvature.
@
Indicates whether curve is closed.

LIQUESCENT - Staff notation. Example A
Figure 100. Liquescent.Ex.A

<neume>
<nc curve="a" pname="b" oct="3">
<liquescent/>
</nc>
</neume>
Listing 257.

LIQUESCENT - Staff notation. Example B
Figure 101. Liquescent.Ex.B

<neume>
<nc curve="c" pname="c" oct="4" tilt="n">
<liquescent/>
</nc>
</neume>
Listing 258.

LIQUESCENT - Aquitanian notation
Figure 102. Liquescent

<neume>
<nc curve="c">
<liquescent/>
</nc>
</neume>
Listing 259.

6.4.6Old Hispanic tick attributes

@
Direction toward which the mark points.
@
Captures the placement of the tick mark with respect to the neume or neume component with which it is associated.

HISPAN TICK - Old Hispanic notation. The following encoding refers to the neume signalled by the arrow on the left.
Figure 103. Hispan tick

<neume>
<nc curve="a"/>
<nc tilt="n" intm="u">
<hispanTick tilt="n" place="above-right"/>
</nc>
</neume>
Listing 260.

6.4.7Quilisma attribute

@
Number of "crests" of a wavy line.

QUILISMA - Staff notation
Figure 104. Quilisma

<neume>
<nc pname="d" oct="4"/>
<nc pname="e" oct="4">
<quilisma/>
</nc>
<nc pname="f" oct="4"/>
<nc pname="e" oct="4"/>
</neume>
Listing 261.

QUILISMA - Old Hispanic notation
Figure 105. Quilisma2

<neume>
<nc>
<quilisma waves="2"/>
</nc>
<nc tilt="n" intm="u"/>
<nc tilt="se" rellen="l" intm="d"/>
</neume>
Listing 262.

6.4.8Significative letters attribute

@
Captures the placement of the sequence of characters with respect to the neume or neume component with which it is associated.

SIGNIFICATIVE LETTERS - St Gall notation
Figure 106. Significative Letters

<neume>
<nc tilt="ne">
<signifLet place="above-right">c</signifLet>
</nc>
<nc con="g" rellen="s" intm="d"/>
<nc con="g" tilt="e" rellen="l" intm="d"/>
</neume>
Listing 263.

6.4.9Note

Other articulation marks such as ictus, circulus, semicirculus, accentus, and other fonts in SMuFL can be encoded using: glyph.auth, glyph.name, glyph.num, and glyph.uri.

6.4.10Basic Encoding – Syllable

The following example illustrates the MEI encoding of the opening of Hildegarde’s “O Splendidissima Gemma” with the text “O splendidissima”. This example provides the basic MEI skeleton to have a valid MEI file and it may be used for reference for scholars willing to start encoding early music (and its text) in MEI. Information about the staff has been omitted for brevity, but it was originally encoded on a 5-line staff with two clefs, a “C” and a “F” on lines 5 and 3, respectively.

Figure 107.

<music meiversion="4.0.0">
<body>
<mdiv>
<score>
<section>
<staff n="1">
<layer>
<syllable>
<syl n="initial">
<rend color="red">O</rend>
</syl>
<neume>
<nc oct="3" pname="e"/>
<nc oct="2" pname="d"/>
<nc oct="3" pname="e"/>
</neume>
</syllable>
<syllable>
<syl>splen_</syl>
<neume>
<nc oct="3" pname="g"/>
<nc oct="3" pname="e"/>
</neume>
<neume>
<nc oct="3" pname="d"/>
<nc oct="3" pname="e"/>
</neume>
</syllable>
<syllable>
<syl>di_</syl>
<neume>
<nc tilt="n" oct="3" pname="f"/>
<nc tilt="se" con="g" oct="3" pname="d"/>
<nc tilt="se" con="g" oct="3" pname="c"/>
</neume>
</syllable>
<syllable>
<syl>dis_</syl>
<neume>
<nc tilt="n" oct="3" pname="e"/>
</neume>
</syllable>
<syllable>
<syl>si_</syl>
<neume>
<nc oct="2" pname="a"/>
<nc con="g" oct="2" pname="b"/>
<nc con="g" tilt="n" oct="3" pname="c"/>
</neume>
</syllable>
<syllable>
<syl>ma </syl>
<neume>
<nc oct="2" pname="b"/>
<nc oct="2" pname="a"/>
</neume>
</syllable>
</layer>
</staff>
</section>
</score>
</mdiv>
</body>
</music>
Listing 264.

6.4.11Manuscripts

Samples of MEI of St Gall notation are taken from the winter volume of the so-called ”Hartker Antiphonary” CH-SGs Cod. Sang. 390.

Samples of MEI of Old Hispanic notation are taken from the ”León Antiphoner” E-L MS 8.

Samples of MEI of Aquitanian notation are taken from sources on the Portuguese Early Music Database.

6.4.12Bibliographic References

Bain, Jennifer, Inga Behrendt, and Kate Helsen. 2014. “Linienlose Neumen und ihre Repräsentation mit MEI Schema, Herausforderungen in der Arbeit im Optical Neume Recognition Project (ONRP).” _Digitale Rekonstruktionen mittelalterlicher Bibliotheken_. Edited by Sabine Philippi and Philipp Vanscheidt. _Trierer Beiträge zu den historischen Kulturwissenschaften_ 12: 119–32.

Behrendt, Inga, Jennifer Bain, and Kate Helsen. 2017. “MEI Kodierung der frühesten Notation in linienlosen Neumen.” _Kodikologie und Paläographie im Digitalen Zeitalter 4 / Codicology and Palaeography in the Digital Age_. Vol. 4. Edited by Hannah Busch, Franz Fischer, and Patrick Sahle, with the cooperation of Philip Hegel and Celiz Krause, Norderstedt 2016. Köln: Institut für Dokumentologie und Editorik e.V, 2017, 281–96.

De Luca, Elsa, Jennifer Bain, Inga Behrendt, Ichiro Fujinaga, Kate Helsen, Alessandra Ignesti, Debra Lacoste, and Sarah Long. 2019. ”Cantus Ultimus’ MEI Neume Module and its Interoperability Across Chant Notations”. Music Encoding Conference, Vienna.

De Luca, Elsa, Jennifer Bain, Inga Behrendt, Ichiro Fujinaga, Kate Helsen, Alessandra Ignesti, Debra Lacoste, and Sarah Long. “Capturing Early Notations in MEI: The Case of Old Hispanic Neumes”. _Musiktheorie-Zeitschrift für Musikwissenschaft 2_, 2019: 229-49.

Helsen, Kate, Inga Behrendt, and Jennifer Bain. 2017. “A Morphology of Medieval Notations in the Optical Neume Recognition Project.” _Arti musices: Croatian Musicological Review_ 48/2: 241–266.

MEI Guidelines, 6: Neume Notation Guidelines for MEI 3.0.0.

MEI Guidelines, 6: Neume Notation Guidelines for MEI 4.0.0 introducing nc as “neume component”.

Morent, Stefan and Gregor Schräder. 2008. Demo: MEI Neumes Viewer Hildegard.

Morent, Stefan. 2011. “Digitalisierungskonzepte für Neumen-Notationen - die Projekte TüBingen und e-sequence.” _Perspektiven Digitaler Musikedition. Die Tonkunst_ 3: 277–83.