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Mensural notation

Mensural notation is the musical notation system used for polyphonic European vocal music from the late 13th century until the early 17th century. The term "mensural" refers to the ability of this system to describe precisely measured rhythmic durations in terms of numerical proportions between note values. Its modern name is inspired by the terminology of medieval theorists, who used terms like musica mensurata ("measured music") or cantus mensurabilis ("measurable song") to refer to the rhythmically defined polyphonic music of their age, as opposed to musica plana or musica choralis, i.e., Gregorian plainchant. Mensural notation was employed principally for compositions in the tradition of vocal polyphony, whereas plainchant retained its own, older system of neume notation throughout the period. Besides these, some purely instrumental music could be written in various forms of instrument-specific tablature notation.

"Mensural" redirects here. For mensural level, see Beat (music).

Mensural notation grew out of an earlier, more limited method of notating rhythms in terms of fixed repetitive patterns, the so-called rhythmic modes, which were developed in France around 1200. An early form of mensural notation was first described and codified in the treatise Ars cantus mensurabilis ("The art of measured chant") by Franco of Cologne (c. 1280). A much expanded system allowing for greater rhythmic complexity was introduced in France with the stylistic movement of the Ars nova in the 14th century, while Italian 14th-century music developed its own, somewhat different variant. Around 1400, the French system was adopted across Europe, and became the standard form of notation of the Renaissance music of the 15th and 16th centuries. Over the course of the 17th century, mensural notation gradually evolved into modern measure (or bar) notation.


The decisive innovation of mensural notation was the systematic use of different note shapes to denote rhythmic durations that stood in well-defined, hierarchical numerical relations to each other. While less context dependent than notation in rhythmic modes, mensural notation differed from the modern system in that the values of notes were still somewhat context-dependent. In particular, a note could have the length of either two or three units of the next smaller order, whereas in modern notation these relations are invariably binary. Whether a note was to be read as ternary ("perfect") or binary ("imperfect") was a matter partly of context rules and partly of a system of mensuration signs comparable to modern time signatures. There was also a complex system of temporarily shifting note values by proportion factors like 2:1 or 3:2. Mensural notation used no bar lines, and it sometimes employed special connected note forms (ligatures) inherited from earlier medieval notation. Unlike in the earliest beginnings of the writing of polyphonic music, and unlike in modern practice, mensural notation was usually not written in a score arrangement but in individual parts.


Mensural notation was extensively described and codified by contemporary theorists. As these writings, like all academic work of the time, were usually in Latin, many features of the system are still conventionally referred to by their Latin terms.

Any notehead with an upward stem to its left is the first of a pair of semibreves (cum opposita proprietate).

Any medial notehead with a downward stem to its right is a longa.

A prolonged, double-width notehead with or without a downward stem to its right is a maxima.

Any other notehead not covered by any of the rules above is a breve.

red notes: diminution 23

shift to prolatio maior: here with implied augmentation minim→semibreve

white notes: diminution 12 (two breves in the time of one)

proportion "3": diminution 13

proportion "8/9": eight notes in the time of nine notes of the preceding bar

History[edit]

The most important early stages in the historical development of mensural notation are the works of Franco of Cologne (c. 1260), Petrus de Cruce (c. 1300), and Philippe de Vitry (1322). Franco, in his Ars cantus mensurabilis, was the first to describe the relations between maxima, longa and breve in terms that were independent of the fixed patterns of earlier rhythmic modes. He also refined the use of semibreves:, while in earlier music, one breve could occasionally be replaced by two semibreves, Franco described the subdivision of the breve as ternary (perfect), dividing it either into three equal or two unequal semibreves (resulting in predominantly triplet rhythmic micro-patterns.)


Petrus de Cruce introduced subdivisions of the breve into even more short notes. However, he did not yet define these as separate smaller hierarchy levels (minim, semiminim etc.), but simply as variable numbers of semibreves. The exact rhythmic interpretation of these groups is partly uncertain. The technique of notating complex groups of short notes by sequences of multiple semibreves was later used more systematically in the notation of Italian Trecento music.


The decisive refinements that made notation even of extremely complex rhythmic patterns on multiple hierarchical metric levels possible were introduced in France during the time of the Ars nova, with Philippe de Vitry as the most important theoretician. The Ars nova introduced the shorter note values below the semibreve; it systematicized the relations of perfection and imperfection across all levels, down to the minim, and it introduced the devices of proportions and coloration.


During the time of the Franco-Flemish school in Renaissance music, use of the French notation system spread throughout Europe. This period brought the replacement of black with white notation. It also brought a further slowing of the duration of the larger note values, while introducing even more new small ones (fusa, semifusa, etc.). Toward the end of this period, the original rules of perfection and imperfection became obsolescent, as did the use of ligatures. During the 17th century, the system of mensuration signs and proportions gradually developed into the modern time signatures, and new notation devices for time measurements, such as bar lines and ties, were introduced, ultimately leading toward the modern notation system.

Musical notation

Neumatic notation

Apel, Willi (1961). (5th ed.). Cambridge, MA: The Medieval Academy of America. OL 5824900M.

The Notation of Polyphonic Music, 900–1600

Apel, Willi (1962). Die Notation der polyphonen Musik, 900–1600. Leipzig: Breitkopf & Härtel. [=Apel 1961, in German.]

Bowers, Roger (2001). "Proportional notation". In Sadie, Stanley (ed.). The New Grove Dictionary of Music and Musicians (2nd ed.). London: Grove.

Busse Berger, Anna Maria (1993). Mensuration and Proportion Signs: Origins and Evolution. Oxford: Oxford University Press.

Eggebrecht, Hans Heinrich (1991). Musik im Abendland: Prozesse und Stationen vom Mittelalter bis zur Gegenwart. Munich: Piper.

Grier, James (1996). . Cambridge: Cambridge University Press.

The Critical Editing of Music: History, Method and Practice

Hiley, David; Payne, Thomas B.; Bent, Margaret; Chew, Geoffrey; Rastall, Richard (2001). "Notation: III and IV". In Sadie, Stanley (ed.). The New Grove Dictionary of Music and Musicians (2nd ed.). London: Grove.

Indiana University. (Collection of original medieval and renaissance writings on music theory, in Latin.)

Thesaurus Musicarum Latinarum

Versilian Studios LLC. (Browser-based application for re-typesetting 16th/17th century typeset mensural notation.)

Early Notation Typesetter